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Not to be confused with Quingentillion.

quincentillion is equal to \(10^{318}\) in the short scale and \(10^{630}\) in the long scale by Conway and Guy's naming system[1][2][3][4] as it is the 105th -illion number.

In the long scale, \(10^{318}\) is called tresquinquagintillion.

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{318}\)
Arrow notation \(10\uparrow 318\)
Taro's multivariable Ackermann function A(3,1053) A(3,1054)
BEAF {10,318}
Hyper-E notation E318
Fast-growing hierarchy \(f_2(1046)\) \(f_2(1047)\)
Hardy hierarchy \(H_{\omega^2}(1046)\) \(H_{\omega^2}(1047)\)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{630}\)
Arrow notation \(10\uparrow 630\)
Taro's multivariable Ackermann function A(3,2089) A(3,2090)
BEAF {10,630}
Hyper-E notation E630
Fast-growing hierarchy \(f_2(2081)\) \(f_2(2082)\)
Hardy hierarchy \(H_{\omega^2}(2081)\) \(H_{\omega^2}(2082)\)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-08.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-08.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-08.

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-)
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