Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

duoviginticentillion is equal to \(10^{369}\) in the short scale and \(10^{732}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 122nd -illion number.

In the long scale, \(10^{369}\) is called unsexagintilliard.

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{369}\) (exact)
Arrow notation \(10\uparrow 369\) (exact)
Steinhaus-Moser Notation 166[3] 167[3]
Chained arrow notation \(10\rightarrow 369\) (exact)
Taro's multivariable Ackermann function A(3,1222) A(3,1223)
BEAF & Bird's array notation {10,369} (exact)
Hyper-E notation E369 (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)(166) m(1)(167)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)[27] (0)(0)(0)(0)(0)(0)(0)(0)[28]
Fast-growing hierarchy \(f_2(1215)\) \(f_2(1216)\)
Hardy hierarchy \(H_{\omega^2}(1215)\) \(H_{\omega^2}(1216)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 3+\omega 6+9}}(10)\) (exact)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{732}\) (exact)
Arrow notation \(10\uparrow 732\) (exact)
Steinhaus-Moser Notation 296[3] 297[3]
Chained arrow notation \(10\rightarrow 732\) (exact)
Taro's multivariable Ackermann function A(3,2428) A(3,2429)
BEAF & Bird's array notation {10,732} (exact)
Hyper-E notation E732 (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)(296) m(1)(297)
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)(0)(0)[26] (0)(0)(0)(0)(0)(0)(0)(0)(0)[27]
Fast-growing hierarchy \(f_2(2420)\) \(f_2(2421)\)
Hardy hierarchy \(H_{\omega^2}(2420)\) \(H_{\omega^2}(2421)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2 7+\omega 3+2}}(10)\) (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.

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-)
Advertisement