A quattuordecicentillion is equal to \(10^{345}\) in the short scale and \(10^{684}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 114th -illion number.
In the long scale, \(10^{345}\) is called septenquinquagintilliard.
Approximations[]
For the short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{345}\) | |
Arrow notation | \(10\uparrow 345\) | |
Taro's multivariable Ackermann function | A(3,1143) | A(3,1144) |
BEAF | {10,345} | |
Hyper-E notation | E345 | |
Fast-growing hierarchy | \(f_2(1135)\) | \(f_2(1136)\) |
Hardy hierarchy | \(H_{\omega^2}(1135)\) | \(H_{\omega^2}(1136)\) |
For the long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{684}\) | |
Arrow notation | \(10\uparrow 684\) | |
Taro's multivariable Ackermann function | A(3,2269) | A(3,2270) |
BEAF | {10,684} | |
Hyper-E notation | E684 | |
Fast-growing hierarchy | \(f_2(2261)\) | \(f_2(2262)\) |
Hardy hierarchy | \(H_{\omega^2}(2261)\) | \(H_{\omega^2}(2262)\) |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-09.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-09.
- ↑ 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-)