A septencentillion is equal to \(10^{324}\) in the short scale and \(10^{642}\) in the long scale by Conway and Guy's naming system[1][2][3][4] as it is the 107th -illion number.
In the long scale, \(10^{324}\) is called quattuorquinquagintillion.
Approximations[]
For the short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{324}\) | |
Arrow notation | \(10\uparrow 324\) | |
Taro's multivariable Ackermann function | A(3,1073) | A(3,1074) |
BEAF | {10,324} | |
Hyper-E notation | E324 | |
Fast-growing hierarchy | \(f_2(1066)\) | \(f_2(1067)\) |
Hardy hierarchy | \(H_{\omega^2}(1066)\) | \(H_{\omega^2}(1067)\) |
For the long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{642}\) | |
Arrow notation | \(10\uparrow 642\) | |
Taro's multivariable Ackermann function | A(3,2129) | A(3,2130) |
BEAF | {10,642} | |
Hyper-E notation | E642 | |
Fast-growing hierarchy | \(f_2(2121)\) | \(f_2(2122)\) |
Hardy hierarchy | \(H_{\omega^2}(2121)\) | \(H_{\omega^2}(2122)\) |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-08.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-08.
- ↑ 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-)