Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

An octoviginticentillion is equal to \(10^{387}\) in the short scale and \(10^{768}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 128th -illion number.

In the long scale, \(10^{387}\) is called quattuorsexagintilliard.

SuperJedi224 called this number epi-bitillion defined by H(27) = H(128) = 10387, where H(x) = 103x+3.[5]

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{387}\) (exact)
Arrow notation \(10\uparrow 387\) (exact)
Steinhaus-Moser Notation 172[3] 173[3]
Chained arrow notation \(10\rightarrow 387\) (exact)
Taro's multivariable Ackermann function A(3,1282) A(3,1283)
BEAF & Bird's array notation {10,387} (exact)
Hyper-E notation E387 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(7)\) \(s(1)^3(\lambda x.x+1)(8)\)
m(n) map m(1)(172) m(1)(173)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)[32] (0)(0)(0)(0)(0)(0)(0)(0)[33]
Copy notation 9[387] 10[194]
Pound-Star Notation #*((1904))*12 #*((1905))*12
Hyperfactorial array notation 205! 206!
Strong array notation s(10,387)
Fast-growing hierarchy \(f_2(1275)\) \(f_2(1276)\)
Hardy hierarchy \(H_{\omega^2}(1275)\) \(H_{\omega^2}(1276)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 3+\omega 8+7}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{768}\) (exact)
Arrow notation \(10\uparrow 768\) (exact)
Steinhaus-Moser Notation 308[3] 309[3]
Chained arrow notation \(10\rightarrow 768\) (exact)
Taro's multivariable Ackermann function A(3,2548) A(3,2549)
BEAF & Bird's array notation {10,768} (exact)
Hyper-E notation E768 (exact)
s(n) map \(s(1)^3(\lambda x.x+1)(8)\) \(s(1)^3(\lambda x.x+1)(9)\)
m(n) map m(1)(308) m(1)(309)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)(0)[31] (0)(0)(0)(0)(0)(0)(0)(0)(0)[32]
Fast-growing hierarchy \(f_2(2539)\) \(f_2(2540)\)
Hardy hierarchy \(H_{\omega^2}(2539)\) \(H_{\omega^2}(2540)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 7+\omega 6+8}}(10)\) (exact)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-11.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-11.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-11.
  5. -Illions - Almost Infinite

See also[]

Main article: -illion
100–109: centillion (un- · duo- · tres- · quattuor- · quin- · sex- · septen- · octo- · noven-)
110–119: decicentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
120–129: viginticentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
130–139: trigintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
140–149: quadragintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
150–159: quinquagintacentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
160–169: sexagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
170–179: septuagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
180–189: octogintacentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
190–199: nonagintacentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

"-Illion" numbers by SuperJedi224

Advertisement