so i’ve decided to archive some old pages on my large number site on this blog – i further discuss this here. one of those old pages i’ll archive is “analyzing aarex’s number list”, a page that has been lurking around the hidden pages of my site for a while … until now. here’s the archived page:
NOTE: Aarex recently restarted his number list – this page is now mostly for fun.
The odd googologist Aarex Tiakhiao has made his own number list – it’s filled with mistakes and errors, not to mention terrible grammar. This page serves to analyze all these mistakes. Aarex’s text is in Arial, mine is in Verdana.
Here is the list as of June 2014:
Negative Numbers
Negative Infinity – Negative 1
Negative Infinity
The positive version is Infinity, this is negative version of this number.
Negative Finaloogol
Negative Tritri
Negative Googolplex
Negative Googol
Negative one
-1
This is first negative number.
Nothing wrong so far …
Very Small Numbers
0-1
What? Pale pink text on white background is very hard to read.
Zero
0
How about 0 things? Nothing!
1 of the infinieth
0.000…0001
Let start a really small number. This is 1/infinity.
That’s EXACTLY EQUAL TO 0. INFINITY IS NOT A NUMBER, IT’S AN INFINITE NUMBER.
1 of the Rayo’s Number-th
1 of the Finalooogol-th
1 of the meameamealokkapoowaoompa-th
1 of the tethrathoth-th
1 of the goppatoth-th
1 of the Goplexulus-th
1 of the Googulus-th
1 of the Second Gongulus-th
1 of the Gongulus-th
1 of the Boogol-th
1 of the tritri-th
1 of the GIggol-th
Googolplexminex
1E-(10^10^100)
Googolminex
1E-(10^100)
One centillionth
1E-303
1 of the Googolth
0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
That a 100 digits after decimal point.
100 digits is correct; he said “digits”, not “zeros”.
Number of seconds on planck time
~5*10^-44
Number of seconds on planck epoch
~10^-43
Number of meters on planck length
I guess you could google it, but shouldn’t he put the value of the number here?
One quadrillion
0.000000000000001
Quadrillionth*
One trillionth
0.000000000001
One billionth
0.000000001
One billionth of meter is almost size of DNA.
One millionth
0.000001
One hundred-thousandth
0.00001
One ten-thousandth
0.0001
One thousandth
0.001
One five-hundredth
0.002
One two-hundredth
0.005
One of 150th
0.00666….
One of 128th
0.00078625….
One of 101th
0.00990099…
101st*
One hundredth
0.01
One sixty-fourth
0.015625
Break a half 6 times! No more breaking…
What? Random switch to left aligned text instead of center? Inconsistent much?
One fiftieth
0.02
One thirty-second
0.03125
Break a half 5 times!
One thirtieth
0.0333…
One twentieth
One twentieth
0.05
One eighteenth
0.0555…
One sixteenth
0.0625
Break a half 4 times!
One fifteenth
0.0666…
One twelfth
0.08333…
One tenth
0.1
It equals to 10^-1, only using exponentation.
0.1011011101111….
What is 0.101101110111101111101111110111111101111111111…?
It’s just that, a probably transcendental irrational number. Also, yay for more formatting inconsistencies! At least this one’s header text is easy to read.
One ninth
0.111…
One eighth
0.125
Let start half, break a half, break a half.
sin(3)
0.14112000806…
This is almost to one seventh
A bit unusual that there’s trig ratios, but whatever. Also, he doesn’t say whether it’s degrees or radians. But it’s assumed to be radians because it has no degree sign.
One seventh
0.14285714285571428557…
This is first repeating number with 6 digits
One sixth
0.1666…
One of the sixth is half of the third.
One fifth/Two tenth
0.2
Start a fourth, minus twentieth.
More formatting inconsistencies! Also, suddenly, he’s back to centering description text.
One fourth
0.25
Let start half, break a half.
Three tenth
0.3
sin(e)0.4107812905…
log10(2)
0.301029996…
One third
0.333…
1/4+1/8-1/16+1/32… = 1 third.
Two fifth/Four tenth
0.4
sin(e)0.4107812905…
One half/Five tenth
0.5
This is first fraction number before 1.
Three fifth/Six tenth
0.6
Two third0.666…
Double the one third!
1/2+1/4-1/8+1/16… = 2 thirds.Yay, this one’s formatting isn’t messed up at all.
Seven tenth
0.7
Three fourth
0.75
Triple the one fourth!
Four fifth/Eight tenth
0.8
Nine tenth
0.9
Ninety-Nine hundredth
0.99
Nine hundred and Ninety-Nine thousandth
0.999
Zero and nine repeating
0.999…
This is closely to 1.
It’s EQUAL to 1.
Small Numbers
1-2
One
1
This number is smallest number ever! Wait, it’s a not smallest number. It a n-gonal number. It a odd number. See more…
Clicking “see more” gives:
This number is smallest number ever! Wait, it’s a not smallest number. It a n-gonal number. It a odd number. What if 1^n?
1! This number is 0! or 1! 1 is also {1 #} on Any Array Notation. The number convert to Roman numbers is I.
He could’ve written that all in here. Fun fact: this is the most description text he puts for any number.
The only reason he did “see more” is because Saibian did it in his number list, but Saibian’s text is much longer.
One and one of the infinity-th
1.000…0001
Ditto. (see zero and nine repeating)
One and one of the Rayo’s Number
One and one of the finaloogol-th
One and one of the meameamealokkapoowaoompa-th
One and one of the tethrathoth
Tethrathoth is slightly smaller than goppatoth, not larger.
One and one of the goppatoth
One and googolplexminex
1+1E-(10^10^100)
One and googolminex
1+1E-(10^100)
One and one centillionth
1+1E-303
One and 1 of the Googolth
1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
Again, that a 100 digits after decimal point.
Once again, actually 99.
Eleven tenth
1.1
Twelve tenth
1.2
Five fourth
1.25
Thirteen tenth
1.3
Fourteen tenth
1.4
Square root of 2
1.4142435…
This is first square root number after 1.
Second harmonic number / One and one half / Fifteen tenth
1.5
This is 3/5 or 1+1/2. It is the sum of the first two terms of the harmonic series.
Golden Radio
1.6180…
Golden Radio = sqrt(1+Golden Radio) or 1+1/Golden Radio.
Five third
1.666…
This is 5/3, (3+2)/3 or 1+2/3.
Square root of 3
1.73205…
This is second and last square root number after 1.
No, there are infinitely many square root numbers after 1 (square root of 5, 6, 7, 10, etc). I’m guessing by “after 1” he really means “between 1 and 2”.
Third harmonic number / Eleven sixth
1.8333…
This is 11/6 or 1+5/6. It is the sum of the first three terms of the harmonic series. ie. 1/1+1/2+1/3.
Medium Numbers
2-10
Finally, heading colors that are actually easy to read.
Two
2
The number, 2 is same at 2^1. Also this is square root of 4 and only even prime number!
Fourth harmonic number
2.08333…
It is the sum of the first four terms of the harmonic series. ie. 1/1+1/2+1/3+1/4.
Square root of 5
2.23606…
It equal to first square root number after 2.
Fifth harmonic number
2.28333…
It is the sum of the first five terms of the harmonic series. ie. 1/1+1/2+1/3+1/4+1/5.
Two and Ninth Fifteith / Sixth harmonic number
2.45
It is the sum of the first six terms of the harmonic series. ie. 1/1+1/2+1/3+1/4+1/5+1/6.
e
Euler Number
Leonhard Euler define in 1728. The first 5 digits is 2.71828… The infinite series of sum is 1/(n!)
Three
3
This number is prime, lucky, odd and triangle number.
Pi
3.1415926…
Four
4
This is second even number. Using 4-entry and beyond in BEAF, the first entry is 2. This number is a {2,2,x}, where x is variable. This is G(0) in My Graham Generator. The second square number or 2 squared.
Second most he says on any number.
Five
5
This is third prime and odd number.
Six
6
The cube has 6 square faces. Also it has third factorial and perfect number.
Seven
7
This number is second mersenne prime.
Eight
8
The 2nd cube number or 2 cubed. The octahedron has 8 triangle faces.
Nine
9
The third square number or 3 squared. It equal to 3 squared and lucky number.
What? I thought 7 was a lucky number.
Xete
X
Epsile
E
This duodecimal prime is an prime.
What are duodecimal numbers DOING here? And why the names “xete” and “epsile” for nine plus one and nine plus two when you can recycle “ten” and “eleven”, and call duodecimal 10 twelve?
Then, we can continue more logically after duodecimal twelve with oneteen, twoteen, thirteen, fourteen, fifteen … nineteen, tenteen, eleventeen, twenty, and then twenty-one, twenty-two … twenty-ten, twenty-eleven, and finally thirty, forty, fifty, sixty, seventy, eighty, ninety, tenty, eleventy, and call duodecimal 100 one hundred like usual (equal to decimal 144).
Ten
10
This is first 2 digits number.
Quadratic Numbers
10-100
Eleven
11
This number is only prime.
Meaning that primeness is the only property of 11 Aarex cares about.
Twelve
12
This is first adundant number and has 6 factors. The factors of 12 is 1,2,3,4,6,12.
Thirteen
13
This is SOO lucky number.
I’m assuming Aarex is either sarcastic here or referring to this, but then seven should’ve also been put as lucky.
Fourteen
14
The factors of 14 is 1,2,7,14.
Fifteen
15
Sixteen
16
The 2 to the fourth power.
Seventeen
17
Eighteen
18
Nineteen
19
Xeteteen
1X
Epsileteen
1E
Twenty
20
Sometimes called ‘Ten-teen’. It a 10 times by 2.
Twenty-One
21
Sometimes called ‘Eleven-teen’. It a 7 times by 3.
Twenty-Two
22
Sometimes called ‘Twelve-teen’. It a 11 times by 2.
Twenty-Three
23
Sometimes called ‘Thirteen-teen’.
Twenty-Four
24
Sometimes called ‘Fourteen-teen’. It a 6 times by 3.
Um… no. It’s “6 times by 4”.
Twenty-Five
25
Sometimes called ‘Fifteen-teen’. It a five squared.
Twenty-Six
26
Sometimes called ‘Sixteen-teen’.
Twenty-Seven
27
Sometimes called ‘Seventeen-teen’. It a 3 cubed.
Twenty-Eight
28
Sometimes called ‘Eighteen-teen’.
Twenty-Nine
29
Sometimes called ‘Nineteen-teen’.
Twenty-Xete
2X
Sometimes called ‘Xeteteen-teen’.
Twenty-Epsile
2E
Sometimes called ‘Epsileteen-teen’.
Thirty
30
Sometimes called ‘Twenty-teen’ or ‘Twenty-Ten’. It a three tens.
Thirty
32
The 2 to the fifth power.
Thirty-Seven
37
This number is equal to Hydra(3).
Forty
40
Four tens make forty.
Fifty
50
Five tens make fifty.
Sixty
60
Six tens makes sixty.
Sixty-Four
64
The 2 to the sixth power.
Seventy
70
Seven tens make seventy.
Eighty
80
Eight tens make eighty.
Eighty-One
81
The 3 to the fourth power.
Ninety
90
Nine tens make ninety.
Ninety-Nine
99
This is max number of 2 digits.
Xetety
X0
Xete tens make xetety.
Epsilety
E0
Epsile tens make epsilety.
Epsilety-Epsile
EE
This is max number of 2 digits on Duodecimal.
One hundred
100
Sometimes called ‘Ten-ty’. It a ten cubed or 10th cube number.
Why the hyphen? Also, this is ten squared, not cubed. WHY THE HELL CAN’T HE GET IT RIGHT?
Cubic Numbers
100-1000
One hundred and Twenty-Five
125
This is 5 cubed.
One hundred and Twenty-Seven
127
It a third mersenne prime.
Wrong, it’s the fourth. 31 is the third.
One hundred and Twenty-Eight
128
The 2 to the seventh power.
Two hundred
200
Twenty tens makes two hundred.
Two hundred and Forty-Three
243
The 3 to the fifth power.
Two hundred and fifty
250
10 times by 25.
Two hundred and fifty-six
256
The 2 to the eighth power.
Three hundred
300
10 times by 30.
Three hundred and thirty-three
333
Four hundred
400
10 times by 40.
Five hundred
500
10 times by 50.
Five hundred and twelve
512
The 2 to the ninth power.
Six hundred
600
10 times by 60.
Six hundred and twenty-five
625
The 5 to the fourth power.
Beast Number
666
Seven hundred and Twenty-Nine
729
The 3 to the sixth power.
Seven hundred
700
10 times by 70.
Seven hundred and Fifty
750
Eight hundred
800
10 times by 80.
Nine hundred
900
10 times by 90.
Nine Hundred and Ninety-Nine
999
This is max of block 1 and three-digit number.
Xete hundred
X00
10 times by X0.
Epsile hundred
E00
10 times by E0.
Epsile Hundred and Epsilety-Epsile
EEE
This is max of block 1 on Duodecimal.
One thousand
1000
This is first 2nd block. E4 or 10 to the third power. Sometimes called ‘Ten hundred’.
Hypercubic Numbers
1000-1 million
Yay for hard-to-read font colors!
One thousand and Twenty-Four
1024
It also 2 to the tenth power.
Two thousand
2000
Count to 2000, start with 1000. One thousand, one thousand and one,…, one thousand, nine hundred and ninety nine,TWO THOUSAND!!
The current year/Two thousand and Fourteen
2014
Two thousand and Forty-Eight
2048
It also 2 to the eleventh power. This number is also the game.
Four thousand and Ninety-Six
4096
It also 2 to the twelfth power.
Eight thousand, One hundred and Ninety-Two
8192
It also 2 to the thirteenth power.
Nine thousand, Nine hundred and Ninety-Nine
9999
This is max of four-digit number.
Epsile thousand, Epsile hundred and Epsilety-Epsile
EEEE
This is max of four-digit number on duodecimal.
Myriad / Ten thousand
10000
E4 or 10 to the fourth power.
It’s INSANELY annoying for me when people write numbers between ten thousand and somewhere around 10^50 without commas. It makes it hard to determine at a glance which number it is.
Sixteen thousand, eight hundred and thirty-four
16834
It also 2 to the fourteenth power.
That’s supposed to be 16,384.
Ninety-Nine thousand, Nine hundred and Ninety-Nine
99999
This is max of five-digit number.
Epsilety-Epsile thousand, Epsile hundred and Epsilety-Epsile
EEEEE
This is max of five-digit number on duodecimal.
Lakh / One hundred thousand
100000
E5 or 10 to the fifth power.
Nine hundred and Ninety-Nine thousand, Nine hundred and Ninety-Nine
999999
This is max of six-digit number.
Epsile hundred and Epsilety-Epsile thousand, Epsile hundred and Epsilety-Epsile
EEEEEE
This is max of six-digit number on duodecimal.
One million
1000000
E6 or 10 to the sixth power.
Tier 1 Numbers
1 million – 1 billion
One million, Forty-Eight thousand, Five hundred and Seventy-Six
1048576
It also two to the 20th power.
Ten million/One crore
10000000
E7 or 10 to the seventh power.
One myllion
100000000
E8 or 10 to the eighth power.
He should’ve also put “one hundred million”.
He should’ve also put “one hundred million”.
One billion
1000000000
E9 or 10 to the ninth power.
Well… that group was certainly quite short.
Beyond Billion Numbers
1 billion – Googol
One billion, Seventy-Three million, Seven hundred, Forty-One thousand, Eight hundred
and Twenty-Four
1073741824
It also 2 to the thirtieth power.
The number of years on the current age of the Earth
~ 4.54 billion
Ten billion
10000000000
E10 or 10 to the tenth/xeteth power.
The number of years on the current age of the universe
~ 13.7 billion
One hundred billion
100000000000
E11 or 10 to the eleventh/epsileth power.
One trillion
1000000000000
E12 or 10 to the twelfth/tenth power.
2 to the Fortieth power
7625597484987
It a 3 tetrated 3 or 3 to the Twenty-seventh power.
One quadrillion/One thousand trillion
1000000000000000
E15 or 10 to the fifteenth power.
2 to the Fiftieth power
One quintillion/One million trillion
1000000000000000000
E18 or 10 to the eighteenth power.
One hundred quintillion/One hundred million trillion
1000000000000000000
E20 or 10 to the twentieth power.
One sextillion/One billion trillion
One sextillion/One billion trillion
1000000000000000000000
E21 or 10 to the twenty-first power.
Ten sextillion/Ten billion trillion
10000000000000000000000
E22 or 10 to the twenty-second power.
One sextillion/One billion trillion
1000000000000000000000
E21 or 10 to the twenty-first power.
What? This entry shouldn’t even be there – Aarex clearly messed up with copy-paste.
2nd Lower bound of Number of Total Cats in Mew-Genics
12,000,000,000 trillion
Lower bound of Number of Total Cats in Mew-Genics
12,207,031,200 trillion
Number of Total Cats in Mew-Genics
12,207,031,250 trillion
Mew-Genics, coming 2014.
2nd Upper bound of Number of Total Cats in Mew-Genics
12,207,031,300 trillion
Upper bound of Number of Total Cats in Mew-Genics
13,000,000,000 trillion
One septillion/One trillion trillion
1000000000000000000000000
E24 or 10 to the twenty-fourth power.
One octillion/One thousand septillion/One thousand trillion trillion
1E27
It also 10 to the twenty-seventh power.
One nonillion
1E30
One decillion
1E33
This is tenth illion number.
One undecillion
1E36
One doedecillion/duodecillion
1E39
One tredecillion
1E42
One quatturodecillion
1E45
One quindecillion
1E48
This is fifteenth illion number.
Let me call Illion Numbers. 10^(n*3) has Illion Numbers expect thousand.
Lcillion
1E50
This is NOT illion number, but this a SPECIAL illion number.
One octodecillion
1E67
This is eighteenth illion number.
One vigintillion
1E63
This is twenieth illion number.
One quinvigintillion
1E78
This is twenty-fifth illion number.
One trigintillion
1E93
This is 30-th illion number.
One doetrigintillion
1E99
This is 32-th illion number.
Googol or Gar-lcillion
1E100
This is first big number, so WELCOME TO BIG NUMBERS! It a 1 followed by 100 zeroes.
The number greater or equal to googol is a big number.
Sometimes googol is a ten doetrigintillion or a lcillion squared.
Uh what? The term “big number” is arbitrary, and it’s more often at least 100, but OK I guess?
Unsizeable Numbers
Googol – 10^1000
Gargoogol
1E200
Gergoogol
1E300
Faxul
200! = 788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000000
In Hyperfactorial array notation, faxul = 200![0]
In Nested Factorial Notation, faxul = 200!1
Gargargoogol/Dugargoogol
1E400
Gargergoogol
1E600
Gargargargoogol/Trugargoogol
1E800
Gergergoogol/Dugergoogol
1E900
Undrawn Numbers
10^1000 – Millillion
Millillion
1E3003
Tier 2 Numbers
Millillion – 10^10000
Over-building Numbers
10^10000 – 10^100000
Over-skyscraper Numbers
10^10000 – 10^100000
Over-mountain Numbers
10^100000 – 10^1000000
Um what? Four groups of numbers in a row without any numbers listed – in this case, Aarex should have combined them with an earlier or later class.
Over-space Numbers
10^1000000 – 10^10 million
Fortieth Mersenne prime
Forty-first Mersenne prime
Forty-second Mersenne prime
Forty-third Mersenne prime
Forty-fourth Mersenne prime
Unknown Numbers
10^10 million – 10^100 million
Yay for hard-to-read font colors. Also, the color progression seems … kind of random.
Forty-fifth Mersenne prime
Forty-sixth Mersenne prime
Forty-seventh Mersenne prime
Largest Prime Ever Known
The largest prime is forty-eighth Mersenne prime. YIKES!
Largest Perfect Number
Let M is forty-eighth mersenne prime, then Largest Perfect Number is M(M*2-2)/2.
Over-Country Numbers
10^100 million – 10^billion
What? Over-country AFTER over-space? That’s weird. But it could be OK, because it takes 100 km to go to space but countries span thousands of km. Then again, the progression is still weird.
Beyond-Space Numbers
10^billion – googolplex
Googolplex
100…00 /w googol 0’s
This is first googol+1 digits number.
Computer Numbers
googolplex – killillion
“Computer number”? If anything, to me a computer number would be a number that can be stored on computers, which would start around 10 to the millionth and end around 10^10^20. These “computer numbers” are hopeless to store.
Faxulenek
(200!)!
Killillion
10^{3*10^3000+3}
Tier 3 Numbers
killillion – kalillion
Googolplexian
100…00 /w googolplex 0’s
This is googology. In googology, we use googolduplex, NOT googolplexian.
Faxulduenek
((200!)!)!
Tetrational Numbers
kalillion – Giggol
What? This is INSANELY weird color progression – it barely makes sense.
Faxultrienek200!4
Faxulquadrienek
200!5
Faxulquinquenek
200!6
Faxulsexaenek
200!7
Faxulseptienek
200!8
Faxuloctaenek
200!9
Faxulenneaenek
200!10
Faxuldecaenek
200!11
Faxulundecaenek
200!12
Faxulicosaenek
200!21
Faxultriacontaenek
200!31
Faxultetracontaenek
200!41
Faxulpentacontaenek
200!51
Faxulhexacontaenek
200!61
Faxulheptacontaenek
200!71
Faxuloctacontaenek
200!81
Faxulnonacontaenek
200!91
What? These numbers switch back and forth between Greek and Latin roots. Please, please, PLEASE be more consistent. Pick one or the other – since they start with Latin, I would stick with Latin roots.
Giggol10^^100
Supertetrational Numbers
Giggol – Gaggol
Faxulhectaenek
200!101
Graxul
200!200/200![2]
Graxulenek/Faxuldohectaenek
200!201
Tritri
{3,3,3}
The last 10 digits of tritri are …2464195387.
Faxulkilaenek
200!1001
Faxulmegaenek
200!1000001
Gaggol
10^^^100
Pentational Numbers
Gaggol – Boogol
First Graham Term
3^^^^3/G1 / GP1 / GT1
This is first term of Graham Number.
Geegol
10^^^^100
The term “pentational” for this group is wrong; Aarex should have used “up-arrow notation” or “trientrical” or maybe “Ackermann”. Geegol is already way way past pentation (even G(1) is, really).
Greaxul
200![3]
Gigol
10^^^^^100
Goggol
10^^^^^^100
Gagol
10^^^^^^^100
Gogol
10^^^^^^^^100
Gegol
10^^^^^^^^^100
I wouldn’t use the word “gegol” if I was Aarex. How the hell would you distinguish it from, say, gagol or geggol or geegol? I don’t know, and I don’t think Aarex cares. Ditto for all numbers gaagol to ggegol.
Geggol
10^^^^^^^^^^100
Listing the ^s really should start as soon as the number of ^s becomes hard to recognize at once, which is around 5 ^s.
Gaagol
10^^…^^100 /w 11 ^’s
Giigol
10^^…^^100 /w 12 ^’s
Ggogol
10^^…^^100 /w 13 ^’s
Ggigol
10^^…^^100 /w 14 ^’s
Ggagol
10^^…^^100 /w 15 ^’s
Ggegol
10^^…^^100 /w 16 ^’s
Boogol/Unoogol
10^^…^^10 /w 100 ^’s/10↑1100
Expanded Numbers
Boogol – Corporal
G2
This is second term of Graham Number. Also second graham number term.
Those two phrases are synonymous.
G27
Let start G0 is equal to 4, so Gn = {3,3,Gn-1}.
Graham Number
G64
The Graham Number is equal to {3,3,…{3,3,4}…} (128 3’s)
A Graham Number term after Graham Number
G65
A Graham Number term after A Graham Number term after Graham Number
G66
Why not two Graham number terms after Graham Number? Also, it’s actually Graham‘s number.
A Graham Number term after A Graham Number term after A Graham Number term after Graham Number
G67
G81
Corporal/Unoogoogol/Boogoogol
{10,100,1,2}/10↑1↑100
G243
G729
Forcal
G1000000
G3^^3
G3^^^3
GP2
GG(1)
Conway Tetratri
3 -> 3 -> 3 -> 3
Let show you compute to BEAF: 3 -> 3 -> 3 -> 3 = 3 -> 3 -> (3 -> 3 -> 3 -> 2) -> 2 = 3 -> 3 -> (3 -> 3 -> tritri) -> 2 = 3 -> 3 -> {3,3,tritri} -> 2 = {3,{3,3,tritri},1,2} = {3,{3,3,1,2},1,2} = {3,3,2,2} = {3,2,3,2}
Actually, it can be shown to be closer to G(G(27)). I’m sorry Aarex, buy you’re mistaken.
Upper limit of Conway Tetratri
3 -> 3 -> 3 -> 4
This number = {3,3,2,2}
No it isn’t.
GP3
GG(G(1))What? Aarex suddenly decides to abandon any and all colors. God knows why.
{3,3,3,2}
Graham-Power Number
GP64
GG(G(…(1)…)) /w 64 G’s
Unoogiggol/Boogiggol
{10,100,2,2}/10↑1↑↑100
GG(G(…(1)…)) /w 3^^3 G’s
GG(G(…(1)…)) /w Googol G’s
GG(G(…(1)…)) /w tritri G’s
GT2/GPG(1)
GG(G(…(1)…)) /w G1 G’s
GG(G(…(1)…)) /w Graham Number G’s
GT3
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s /w G1 G’s
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s /w Graham Number G’s
GT4
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s /w GG(G(…(1)…)) G’s /w G1 G’s
GT5
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s /w GG(G(…(1)…)) G’s /w GG(G(…(1)…)) G’s /w G1 G’s
Graham-Tower Number
GT64
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s … /w G1 G’s, where there are 64 power towers.
GTG(1)
GG(G(…(1)…)) /w GG(G(…(1)…)) G’s … /w G1 G’s, where there are G1 power towers.
Unoogaggol/Boogaggol
{10,100,3,2}/10↑1↑↑↑100
Unoogeegol/Boogeegol
{10,100,4,2}/10↑1↑↑↑↑100
Unoogiggol/Boogigol
{10,100,5,2}/10↑1↑↑↑↑↑100
Unoogoggol/Boogoggol
{10,100,6,2}/10↑1↑↑↑↑↑↑100
ONE GIGANTIC GAP LATER…
Xappol
{10,10 [3] 2}
Sometimes called ‘Megossol’.
What the hell?!? Aarex decides to skip a plethora of numbers and jump from his boogoggol, past the grand tridecal, biggol, tetratri, general, troogol, quadroogol, quintoogol, iteral, goobol, dupertri, gootrol, gossol, mossol, bossol, dubol, dutridecal, and many many more (those are only some of the major numbers), all the way to this. Weird. I guess Aarex was tired of going through these numbers and wanted to skip to these monstrosities, and some numbers he coined.
Note that here Aarex uses his array notation (though it could also be Bird’s array notation), not Bowers’. I don’t know why.
Xappolplex
{10,Xappol [3] 2}
Sometimes called ‘Megossolplex’.
Colossol
{10,10 [4] 2}
Sometimes called ‘Gigossol’.
Colossolplex
{10,Colossol [4] 2}
Sometimes called ‘Gigossolplex’.
Terossol
{10,10 [5] 2}
Petossol
{10,10 [6] 2}
Ectossol
{10,10 [7] 2}
Zettossol
{10,10 [8] 2}
Yottossol
{10,10 [9] 2}
Xennossol
{10,10 [10] 2}
Sometimes called ‘Xotossol’
Dimendecal
{10,10 [11] 2} / {10,10 [1[2]2] 2}
Sometimes called ‘Tossol’
Kiloossol
{10,10 [12] 2}
I tried to extend colossol series to AEOSI.
Wait, is that pronounced kill-oo-suhl? I doubt Aarex cares how any of his numbers are pronounced (gegol, for example).
Megoossol
{10,10 [13] 2}
Gigoossol
{10,10 [14] 2}
Teroossol
{10,10 [15] 2}
Petoossol
{10,10 [16] 2}
Exoossol
{10,10 [17] 2}
Zettoossol
{10,10 [18] 2}
Yottoossol
{10,10 [19] 2}
Xotoossol
{10,10 [20] 2}
Tmossol
{10,10 [21] 2}
Tgossol
{10,10 [31] 2}
Ttossol
{10,10 [41] 2}
Tpossol
{10,10 [51] 2}
Teossol
{10,10 [61] 2}
Tzossol
{10,10 [71] 2}
Tyossol
{10,10 [81] 2}
Txossol
{10,10 [91] 2}
Gongulus
{10,10 [101] 2}
Sometimes called ‘Heatiossol’
Second Gongulus
{10,100 [101] 2}
Grand Gongulus
{10,10 (1000) 2}
Sometimes called ‘Hilatiossol’.
What? Why does he switch from his array notation to Bowers’? Weird. Also, here the formatting becomes really messed up.
Grand Gongulus
{10,10 (10000) 2}
Sometimes called ‘Tihilatioossol’.
GAH. Why is grand gongulus listed twice?
Great Gongulus
{10,10 (100000) 2}
Sometimes called ‘Heatihilatioossol’.
Super-great Gongulus
{10,10 (1000000) 2}
Sometimes called ‘Hiatioossol’.
Hyper-great Gongulus
{10,10 (10000000) 2}
Sometimes called ‘Tihiatioossol’.
Mega-great Gongulus
{10,10 (100000000) 2}
Sometimes called ‘Heatihiatioossol’.
Googulus
{10,10 (googol) 2}
Grangulus
{10,10 (grangol) 2}
Greagulus
{10,10 (greagol) 2}
Gigangulus
{10,10 (gigangol) 2}
Gorgegulus
{10,10 (gorgegol) 2}
Gulgulus
{10,10 (gulgol) 2}
Gaspgulus
{10,10 (gaspgol) 2}
Ginorgulus
{10,10 (ginorgol) 2}
Gugoldgulus
{10,10 (gugold) 2}
What? All these numbers are pointless really – these are all less than even a single step of recursion past a gongulus.
Gongulusplex
{10,10 (gongulus) 2}
We define gongulus-dimensional, not 100-dimensional. Sometimes called ‘Gongulus-ossol’ in colossol series.
Second Gongulusplex
{10,100 (second gongulus) 2}
Gongulusplexian
{10,10 (gongulusplex) 2}
WHY ARE YOU USING -PLEXIAN INSTEAD OF -DUPLEX? IN GOOGOLOGY, PLEXING A NUMBER TWICE GIVES THE SUFFIX -DUPLEX, NOT -PLEXIAN.
Second Gongulusplexian
{10,100 (second gongulusplex) 2}
Gingulus
{10,100 (0,2) 2}
Gingulusplex
{10,gingulus (0,2) 2}
Gangulus
{10,100 (0,3) 2}
Gangulusplex
{10,gangulus (0,3) 2}
Geengulus
{10,100 (0,4) 2}
Geengulusplex
{10,geengulus (0,4) 2}
Gowngulus
{10,100 (0,5) 2}
Gungulus
{10,100 (0,6) 2}
Gagulus
{10,100 (0,7) 2}
Aarex will extended a gongulus series. This is 7th one.
Speaking in third person I see. Who does he think he is, Trixie? (kudos to you if you get the reference)
Gogulus
{10,100 (0,8) 2}
Gegulus
{10,100 (0,9) 2}
Geggulus
{10,100 (0,10) 2}
Bongulus
{10,100 (0,0,1) 2}
Bongulusplex
{10,bongulus (0,0,1) 2}
Bingulus
{10,100 (0,0,2) 2}
Bangulus
{10,100 (0,0,3) 2}
Beengulus
{10,100 (0,0,4) 2}
Bowngulus
{10,100 (0,0,5) 2}
Bungulus
{10,100 (0,0,6) 2}
Bagulus
{10,100 (0,0,7) 2}
Bogulus
{10,100 (0,0,8) 2}
Begulus
{10,100 (0,0,9) 2}
Beggulus
{10,100 (0,0,10) 2}
Trongulus
{10,100 (0,0,0,1) 2}
Quadrongulus
{10,100 (0,0,0,0,1) 2}
Formatting messed up again.
Quintongulus
{10,100 (0,0,0,0,0,1) 2}
Sextongulus
{10,100 (0,0,0,0,0,0,1) 2}
Septongulus
{10,100 (0,0,0,0,0,0,0,1) 2}
Octongulus
{10,100 (0,0,0,0,0,0,0,0,1) 2}
Nonongulus
{10,100 (0,0,0,0,0,0,0,0,0,1) 2}
Googolusplex
10^10^100&10
Goplexulus
{10,100 ((1)1) 2}
Goplexulusplex
{10,goplexulus ((1)1) 2}
Giplexulus
{10,100 ((1)(1)1) 2}
Gaplexulus
{10,100 ((1)(1)(1)1) 2}
Geeplexulus
{10,100 ((1)(1)(1)(1)1) 2}
Gowplexulus
{10,100 ((1)(1)(1)(1)(1)1) 2}
Gunplexulus
{10,100 ((1)(1)(1)(1)(1)(1)1) 2}
Gapplexulus
{10,100 ((1)(1)(1)(1)(1)(1)(1)1) 2}
Goplexulus
{10,100 ((1)(1)(1)(1)(1)(1)(1)(1)1) 2}
Geplexulus
{10,100 ((1)(1)(1)(1)(1)(1)(1)(1)(1)1) 2}
Gepplexulus
{10,100 ((1)(1)(1)(1)(1)(1)(1)(1)(1)(1)1) 2}
Boplexulus
{10,100 ((2)1) 2}
Biplexulus
{10,100 ((2)(2)1) 2}
Baplexulus
{10,100 ((2)(2)(2)1) 2}
Troplexulus
{10,100 ((3)1) 2}
Quadroplexulus
{10,100 ((4)1) 2}
Quintoplexulus
{10,100 ((5)1) 2}
Sextoplexulus
{10,100 ((6)1) 2}
Septoplexulus
{10,100 ((7)1) 2}
Octoplexulus
{10,100 ((8)1) 2}
Nonoplexulus
{10,100 ((9)1) 2}
Goduplexulus
{10,100 ((0,1)1) 2}
Goduplexulusplex
{10,goduplexulus ((0,1)1) 2}
Giduplexulus
{10,100 ((0,2)1) 2}
Gaduplexulus
{10,100 ((0,3)1) 2}
Boduplexulus
{10,100 ((0,0,1)1) 2}
Troduplexulus
{10,100 ((0,0,0,1)1) 2}
Gotriplexulus
{10,100 (((1)1)1) 2}
Goquadruplexulus
{10,100 (((0,1)1)1) 2}
Goquintiplexulus
{10,100 ((((1)1)1)1) 2}
Gosextiplexulus
{10,100 ((((0,1)1)1)1) 2}
Goseptiplexulus
{10,100 (((((1)1)1)1)1) 2}
Goctiplexulus
{10,100 (((((0,1)1)1)1)1) 2}
Gononiplexulus
{10,100 ((((((1)1)1)1)1)1) 2}
Goppatoth/Giggolus
{10,100,2} & 10
Hmmm… I see Aarex coined an -us suffix to extend the array of series, and fill the humongulus-golapulus gap. I see no problem with it, but it isn’t very creative, especially compared to the colorful names Bowers coined.
Tethrathoth
E100#^^#100
What? This is the ONLY Extensible-E number to appear on this list – grangol, greagol, gigangol, gugold, throogol, godgahlah, gridgahlah, godgathor, gralgathor, godtothol, godtertathol, and many more all aren’t on here. Also, tethrathoth is slighty smaller than goppatoth.
Goppatothplex
{10,goppatoth,2} & 10
Kungulus/Gaggolus
{10,100,3} & 10
Kungulusplex
{10,kungulus,3} & 10
Quadrunculus/Geegolus
{10,100,4} & 10
Quadrunculusplex
{10,quadrunculus,4} & 10
Quintunculus/Gigolus
{10,100,5} & 10
Sextunculus/Goggolus
{10,100,6} & 10
Septunculus/Gagolus
{10,100,7} & 10
Boogolus
{10,10,100} & 10
Troogolus
{10,10,10,100} & 10
Goobolus
{10,100(1)2} & 10
Gootrolus
{10,100(1)3} & 10
ONE FAR FAR FAR MORE GIGANTIC GAP LATER…
Meameamealokkapoowa
{L100,10}10,10
This is BOWERS’ numbers of my meameamealokka series.
HOLY FUCKING SHIT! Aarex makes an insanely huge jump, skipping the rest of the array of numbers, tall the legion arrays, double legion arrays, multiple legion arrays, structure legion arrays, lugion, lagion, ligion, right to this. I guess he wanted to head straight to his meameamealokkapoowa numbers.
Meameamealokkapoowa-arrowa
{{L100,10}10,10,{L100,10}10,10,{L100,10}10,10}
This is Meameamealokkapoowa expanded 2.
Since this is a salad number (meameamealokkapoowa is FAR too large for up-arrowas to have any effect on its side), I’ll call this meameamealokkapoowa-hensalada.
Meameamealokkapoowa-fracta
{{L100,10}10,10,3,1,2}
And continue on…
Should be after the next number – I prefer calling this meameamealokkapoowa-trisalada. This is still a salad number.
Meameamealokkapoowa-biarrowa
{{{L100,10}10,10,2,1,2},2,1,2}
That 2 arrowa in row.
Should be before the previous number. Also called meameamealokkapoowa-disalada.
Meameamealokkapoowa-fractetra
{{L100,10}10,10,4,1,2}
Also called meameamealokkapoowa-trisalada.
Meameamealokkapoowa-fracpenta
{{L100,10}10,10,5,1,2}
Also called meameamealokkapoowa-tersalada.
Meameamealokkapoowa-frachexa
{{L100,10}10,10,6,1,2}
Also called meameamealokkapoowa-pensalada.
Meameamealokkapoowa-frachepta
{{L100,10}10,10,7,1,2}
Also called meameamealokkapoowa-exsalada.
Meameamealokkapoowa-fracocta
{{L100,10}10,10,8,1,2}
Also called meameamealokkapoowa-epsalada.
Meameamealokkapoowa-fracennea
{{L100,10}10,10,9,1,2}
Also called meameamealokkapoowa-ogsalada.
Meameamealokkapoowa-bracefill
{{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10}
Based on meameamealokkapoowa-arrowa, but this is 4 entries.
Also called meameamealokkapoowa-ennsalada. Despite moving on to the next level, this is still a salad number.
Meameamealokkapoowa-bracesquared
{{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10}
Based on meameamealokkapoowa-bracefill, but this is 5 entries.
Also called meameamealokkapoowa-deksalada.
Meameamealokkapoowa-bracecubed
{{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10,{L100,10}10,10}
Based on meameamealokkapoowa-bracesquared, but this is 6 entries.
Also called meameamealokkapoowa-hendeksalada.
Meameameaphase
E100((…(#^^#)^^#)…^^#)^^#100 /w meameamealokkapoowa ^^#’s
Also called meameamealokkapoowa-dodeksalada. This is STILL a salad number, once again due to meameamealokkapoowa’s size.
Terrible Meameameaphase
E100((…(#^^#)^^#)…^^#)^^#100 /w meameameaphase ^^#’s
Also called meameamealokkapoowa-trideksalada.
Terrible Meameameaphaoomillion
E100((…(#^^#)^^#)…^^#)^^#100 /w terrible meameameaphase ^^#’s
Also called meameamealokkapoowa-terdeksalada.
Great and Terrible Meameameaphaoomillion
E100((…(#^^#)^^#)…^^#)^^#100 /w terrible meameameaphasoomillion ^^#’s
Also called meameamealokkapoowa-pendeksalada.
Great and Terrible Meameameaphaoomilliteeth
E100((…(#^^#)^^#)…^^#)^^#100 /w Great and Terrible Meameameaphasoomillion ^^#’s
Also called meameamealokkapoowa-exdeksalada.
Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigong
E100((…(#^^#)^^#)…^^#)^^#100 /w Great…plex ^^#’s
Also called meameamealokkapoowa-epdeksalada. Also, what is great…plex? I’m assuming he means the previous number, but he clearly made a mistake.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigong
E100((…(#^^#)^^#)…^^#)^^#100 /w Great…plexigong ^^#’s
Also called meameamealokkapoowa-ogdeksalada. Even the name of the number sounds like a salad number now.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrr
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…plexigong ^^#’s
Also called meameamealokkapoowa-enndeksalada.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhh
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…errrrrr ^^#’s
Dear Ahh, he tried to get longest named ever.
Also called meameamealokkapoowa-icosalada.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhh
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…ahhhhhhhhh ^^#’s
I have 2 names left.
Also called meameamealokkapoowa-henicosalada.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…shhhhhh ^^#’s
Maybe, I tried to connects everything.
Also called meameamealokkapoowa-doicosalada.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’al
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…hmmmmmmmm ^^#’s
This is longest number named ever! No, there bigger name.
Also called meameamealokkapoowa-tricosalada.
Grand Great and Terrible Meameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…hmmmmmmmm ba’al ^^#’s
Also called meameamealokkapoowa-tericosalada.
Grand Great and Terrible Omegameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great…hmmmmmmmm ba’ational ^^#’s
Also called meameamealokkapoowa-penicosalada.
Grand Great and Terrible Omegameameaphaoomilliteetygahgirlterhothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great and Terrible Omegameameaphaoomilliteetygahgirlthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational ^^#’s
Also called meameamealokkapoowa-exicosalada.
Grand Great and Terrible Omegameameaphaoomillispockteetygahgirlterhothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational
E100((…(#^^#)^^#)…^^#)^^#100 /w Grand Great and Terrible Omegameameaphaoomilliteetygahgirlterthothplexigongerrrrrroahhhhhhhhhoshhhhhhohmmmmmmmm ba’ational ^^#’s
Also called meameamealokkapoowa-epticosalada – the largest of Aarex’s crazy salad numbers. That amounts to a total of 27 meameamealokkapoowa salad numbers. All of them are utterly pointless.
Meameamealokkabipoowa
{LL100,10}10,10
There are 2 L’s in this number. This is 2nd item of meameamealokka series.
FINALLY – out of that crazy salad crap.
Meameamealokkatripoowa
{LLL100,10}10,10
Now keeping adding L’s…
Meameamealokkaoompa
{100&L100,10}10,10
Now reach meameamealokka-100-poowa in the meameamealokka series!
Meameamealokkaoompa-poowa
{101&L100,10}10,10
101st item of meameamealokka series.
Aarex’s Meameamealokkapoowa-oompa
{L…L100,10}10,10 /w Meameamealokkapoowa L’s
Meameamealokkapoowa-th item of meameamealokka series
Meameamealokkabioompa
{L…L100,10}10,10 /w Meameamealokkaoompa L’s
Meameamealokkaoompa-th item of meameamealokka series
Meameamealokkapoowa-bioompa
{L…L100,10}10,10 /w Meameamealokkapoowaoompa L’s
Meameamealokkapoowaoompa-th item of meameamealokka series
Meameamealokka-trioompa
{L…L100,10}10,10 /w Meameamealokkabioompa L’s
Meameamealokkabioompa-th item of meameamealokka series
Meameamealokkatrina
{L…A…L100,10}10,10 /w Meameamealokka-99-oompa L’s
Meameamealokka-100-oompa = Meameamealokkatrina
Meameamealokka-99-oompa-th item of meameamealokka series
I’m confident that the A was a typo not meant to be here.
Meameamealokkatrina-poowa
{L…L100,10}10,10 /w Meameamealokka-99-oompa+1 L’s
Meameamealokkatrina-oompa
{L…L100,10}10,10 /w Meameamealokkatrina L’s
What? Seems like now Aarex is going back to basic recursion, pathetic for numbers of this size. These are dull numbers, but not quite as much as the 27 delicious salads Aarex cooked up.
Meameamealokkatrina-bioompa
{L…L100,10}10,10 /w Meameamealokkatrina-oompa L’s
Meameamealokka-bitrina
Meameamealokka-(Meameamealokkatrina-1)-oompa
Meameamealokka-tritrina
Meameamealokka-(Meameamealokka-bitrina-1)-oompa
Meameamealokkaterta
Meameamealokka-99-trina
Meameamealokkapeta
Meameamealokka-99-terta
Meameamealokkaeceta
Meameamealokka-99-peta
Meameamealokkapoowa-oompa
{{L100,10}10,10&L100,10}10,10, where A is Meameamealokkapoowa array of L’s
Megameamealokkapoowa
{L&L100,10}10,10
Hard to say what this construction means, but I doubt it’s bigger than meameamealokkapoowa ooompa. In this list it would fall right before the previous entry.
Megameamealokkabipoowa
{LL&L100,10}10,10
That….I’m actually fairly confident this would be bigger than meameamealokkapoowa oompa.
Megameamealokkatripoowa
{LLL&L100,10}10,10
Megameamealokkaoompa
{100&L&L100,10}10,10
Megameamealokkatrina
Megameamealokkaterta
Gigameamealokkapoowa
{L&L&L100,10}10,10
Terameamealokkapoowa
{L&L&L&L100,10}10,10
Limit-BEAF
fapprox limit growth rate of BEAF(100)
Omegameamealokkapoowa
{L&\L100,10}10,10 = {L&L…L&L100,10}10,10 (L L’s)
Finaloogol
Yep, Aarex thinks this number is the biggest computable number. He coined it with his extended up-arrow notation. I doubt it’s anywhere close to meameamealokkapoowa oompa, but I’m not sure.
Finaloogolplex
Ditto. This is technically bigger, but it’s just one recursive step.
Rayo Number
Rayo(Googol)
What? That number should fall RIGHT before infinity. Rayo’s function grows far faster than the xi function, the Aarex function is just a naive extension of the xi function, and those Laver table numbers haven’t been proven to exist. This list was probgably made during the time when the xi function was thought to be more powerful than Rayo’s. Why has Aarex updated other parts but not this?
Xi(10^6)
Xi(Googol)
1st Aarex Number
Arx(googolplex,googolplex)
Naive extension of the xi function by iterating – recursing a powerful function and calling it your own fast-growing function is cheating.
2nd Aarex Number
Arx(googolplex&googolplex)
Aarex function has array of operation using BEAF.
Ditto.
q(6) on Laver table
What? These Laver table numbers haven’t been proven to exist. If they do, it’s doubful that they’re anywhere close to Rayo.
q(7) on Laver table
q(10) on Laver table
q(100) on Laver table
q(Googol) on Laver table
q(q(5)) on Laver table
q(A(9,A(8,A(8,255)))) on Laver table
q(q(6)) on Laver table
q(q(q(5))) on Laver table
The Sky of Infinities
Infinity – BIGGEST INFINITY EVER
Infinity
Infinity is never-ending, endless, forever, … number.
IT’S. NOT. A. FUCKING. NUMBER. IT’S. AN. INFINITE. NUMBER. GET? IT? AAREX? /end rant
Infinity-2/Meginity
Infinity-2 is equal to 2nd number that never convert any notation.
Infinity-3/Giginity
Infinity-3 is equal to 3rd number that never convert any notation.
Infinity-10
Infinity-100
Infinity-Googol
Infinity-A(9,A(8,A(8,255)))
Infinity-Gongulus
Infinity-q(6)
Infinity-Infinity/Infinity-inity
Infinity-Infinity-2
Infinity-Infinity-Infinity/Infinity-inity-inity
Infininity
Infininity-inity
Megininity
Gigininity
Infinininity
Infinininity-ininity
BIGGEST INFINITY EVER
This is biggest infinity ever, bigger than infinity, meginity, infininity, and beyond!
Unordered Numbers
Googolxotaplex
E100#octillion+1
Googolvanaplex
E100#nonillion+1
Googolkillanaplex
E100#decillion+1
Googolmeganaplex
E100#undecillion+1
Googolgiganaplex
E100#doedecillion+1
Googolteranaplex
E100#tredecillion+1
What? Those are very easy to order – between faxulmegaenek and gaggol.
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Conclusion
This website is mostly for shits and giggles, but also to show what not to do in googology. This website isn’t called Pointless Large Number Stuff for nothing.
…….
I have no other words.
Cookie Fonster's stuff 
Yup! Faxulicosaenek is Faxulvigenek
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Boogolus = HumongulusTroogolus = IncredulusGoobolus = GoobawambaGootrolus = Goobawantra
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Where's Octunculus?
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Faxulduodecaenek, 200!^13Faxultredecaenek, 200!^14Faxulquattuordecaenek, 200!^15Faxulquindecaenek, 200!^16Faxulsexdecaenek, 200!^17Faxulseptendecaenek, 200!^18Faxuloctodecaenek, 200!^19Faxulnovemdecaenek, 200!^20Faxulvigenek, 200!^21
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This is an archive of someone else's strange number list, so errors and inconsistences in that list are abound.That said, you're right that it would be correctly be called \”faxulnonenek\”, because all the other numbers in that series use Latin roots rather than Greek roots.
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No faxulenneaenek, it's faxulnonenek
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