Alright here they are:
- 394839587248453857
- 4938482948394748384
- 348738274782821828888800
Nah, just kidding. Here are some numbers I randomly thought of:
Factorial randomness[]
The chain factorial is defined as n→! = n→(n-1)→(n-2)→...→3→2→1.
The arrayorial is defined as n{!} = {n,n-1,n-2,...,3,2,1}.
The expactorial is defined as n:! = n{(n-1){(n-2){...{3{2{1}2}3}...}(n-2)}(n-1)}n (not to be confused with the expandofactorial, n{{1}}(n-1){{1}}...2{{1}}1).
Now for some obligatory faxul numbers: chainxul = 200→!, arrayxul = 200{!}, expaxul = 200:!
Googologoog[]
The googologoog is constructed from googol the same way the word is. Take googol, attach it to itself backwards and remove a zero from the middle. It is equal to 10200+1. If you don't do the removal, you get the googollogoog = 10201+1. There is also the googolplexelplogoog = 1010100∙2+1
Lcillion variants[]
Lcillion = 1050, named after the roman numeral L for 50, so obviously we can have icillion = 101, vcillion = 105, xcillion = 1010, ccillion = 10100, dcillion = 10500, mcillion = 101000, vbarcillion = 105000, mbarcillion = 101000000, mbarbarbarbarcillion = 101000000000000000, et cetera
BEAF stuff[]
Here is my attempt to extend the colossol series into tetration:
- colostol = {10,10((1)1)2} = X↑↑3&10 (colossol + tetration)
- terostol = {10,10((0,1)1)2} = X↑↑4&10
- petostol = {10,10(((1)1)1)2} = X↑↑5&10
- ectostol = {10,10(((0,1)1)1)2} = X↑↑6&10
- zettostol = {10,10((((1)1)1)1)2} = X↑↑7&10
- yottostol = {10,10((((0,1)1)1)1)2} = X↑↑8&10
- xennostol = {10,10(((((1)1)1)1)1)2} = X↑↑9&10
- tetratiadecal = {10,10(((((0,1)1)1)1)1)2} = X↑↑10&10
You could also coin a -oxtol series for the {10,100(...)2} variants, an -ospol series for pentation, an -oxpol series, et cetera.
Harmonic series[]
Let Ha(n) = \(min(\{x|\sum_{j=0}^x \frac{1}{j} \geq n\})\). It grows approximately exponentially. (list of values)
- Harmonol = Ha(10100)
- Harmonolplex = Ha(Ha(10100))
- Harmonplexol = Ha(1010100)
- Harmonplexolplex = Ha(Ha(1010100))
The biggest one[]
So apparently Heptakulus is the largest googolism that is a perfect power but not a square or a cube. I challenge that with the un-untitled number (for lack of a better title). It equals (Large Number Garden Number6+1)5. I WIN!!!
An extremely important discovery[]
I made a shocking discovery. I was searching for "gar" numbers when I found that gargantuul begins with "gar." So it is actually gar-gantuul. The GANTUUL = √(E100#100#100#100#100#100#100#100#100). This was an extremely important discovery that will change the study of large numbers forever and may possibly bring this wiki back to its former glory. Thanks for watching.