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tredecicentillion is equal to \(10^{342}\) in the short scale and \(10^{678}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 113th -illion number.

In the long scale, \(10^{342}\) is called septenquinquagintillion.

Approximations[]

For the short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{342}\)
Arrow notation \(10\uparrow 342\)
Taro's multivariable Ackermann function A(3,1133) A(3,1134)
BEAF {10,342}
Hyper-E notation E342
Fast-growing hierarchy \(f_2(1125)\) \(f_2(1126)\)
Hardy hierarchy \(H_{\omega^2}(1125)\) \(H_{\omega^2}(1126)\)

For the long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{678}\)
Arrow notation \(10\uparrow 678\)
Taro's multivariable Ackermann function A(3,2249) A(3,2250)
BEAF {10,678}
Hyper-E notation E678
Fast-growing hierarchy \(f_2(2241)\) \(f_2(2242)\)
Hardy hierarchy \(H_{\omega^2}(2241)\) \(H_{\omega^2}(2242)\)

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-09.
  3. Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-09.
  4. Fish. Conway's zillion numbers. Retrieved 2023-02-09.

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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