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novencentillion is equal to \(10^{330}\) in the short scale and \(10^{654}\) in the long scale by Conway and Guy's naming system[1][2][3][4] as it is the 109th -illion number.

In the long scale, \(10^{330}\) is called quinquinquagintillion.

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{330}\)
Arrow notation \(10\uparrow 330\)
Taro's multivariable Ackermann function A(3,1093) A(3,1094)
BEAF {10,330}
Hyper-E notation E330
Fast-growing hierarchy \(f_2(1086)\) \(f_2(1087)\)
Hardy hierarchy \(H_{\omega^2}(1086)\) \(H_{\omega^2}(1087)\)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{654}\)
Arrow notation \(10\uparrow 654\)
Taro's multivariable Ackermann function A(3,2169) A(3,2170)
BEAF {10,654}
Hyper-E notation E654
Fast-growing hierarchy \(f_2(2161)\) \(f_2(2162)\)
Hardy hierarchy \(H_{\omega^2}(2161)\) \(H_{\omega^2}(2162)\)

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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