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The octocentillion is equal to \(10^{327}\) in the short scale and \(10^{648}\) in the long scale.[1]

In the long scale, \(10^{327}\) is called quattuorquinquagintilliard.

Aarex Tiaokhiao gave the name cennillion, referring to the value of this number.[2]

ApproximationsEdit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{327}\)
Arrow notation \(10\uparrow327\)
Steinhaus-Moser Notation 150[3] 151[3]
Copy notation 9[327] 10[164]
Taro's multivariable Ackermann function A(3,1083) A(3,1084)
Pound-Star Notation #*((4375))*11 #*((4376))*11
BEAF {10,327}
Hyper-E notation E327
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[358] (0)(0)(0)(0)(0)(0)(0)[359]
Hyperfactorial array notation 178! 179!
Fast-growing hierarchy \(f_2(1076)\) \(f_2(1077)\)
Hardy hierarchy \(H_{\omega^2}(1076)\) \(H_{\omega^2}(1077)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega2+7}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{648}\)
Arrow notation \(10\uparrow648\)
Steinhaus-Moser Notation 267[3] 268[3]
Copy notation 9[648] 1[649]
Taro's multivariable Ackermann function A(3,2149) A(3,2150)
Pound-Star Notation #*((5258))*15 #*((5259))*15
BEAF {10,648}
Hyper-E notation E648
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)[339] (0)(0)(0)(0)(0)(0)(0)(0)[340]
Hyperfactorial array notation 313! 314!
Fast-growing hierarchy \(f_2(2141)\) \(f_2(2142)\)
Hardy hierarchy \(H_{\omega^2}(2141)\) \(H_{\omega^2}(2142)\)
Slow-growing hierarchy \(g_{\omega^{\omega^26+\omega4+8}}(10)\)

Sources Edit

  1. http://users.skynet.be/nizgorur/very_big_numbers.htm
  2. Aarex Tiaokhiao's illion numbers

See also Edit

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