A sesviginticentillion is equal to \(10^{381}\) in the short scale and \(10^{756}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 126th -illion number.
In the long scale, \(10^{381}\) is called tresexagintilliard.
Approximations[]
For the short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{381}\) (exact) | |
Arrow notation | \(10\uparrow 381\) (exact) | |
Steinhaus-Moser Notation | 170[3] | 171[3] |
Chained arrow notation | \(10\rightarrow 381\) (exact) | |
Taro's multivariable Ackermann function | A(3,1262) | A(3,1263) |
BEAF & Bird's array notation | {10,381} (exact) | |
Hyper-E notation | E381 (exact) | |
s(n) map | \(s(1)^3(\lambda x.x+1)(7)\) | \(s(1)^3(\lambda x.x+1)(8)\) |
m(n) map | m(1)(170) | m(1)(171) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)[30] | (0)(0)(0)(0)(0)(0)(0)(0)[31] |
Fast-growing hierarchy | \(f_2(1255)\) | \(f_2(1256)\) |
Hardy hierarchy | \(H_{\omega^2}(1255)\) | \(H_{\omega^2}(1256)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 3+\omega 8+1}}(10)\) (exact) |
For the long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{756}\) (exact) | |
Arrow notation | \(10\uparrow 756\) (exact) | |
Steinhaus-Moser Notation | 304[3] | 305[3] |
Chained arrow notation | \(10\rightarrow 756\) (exact) | |
Taro's multivariable Ackermann function | A(3,2508) | A(3,2509) |
BEAF & Bird's array notation | {10,756} (exact) | |
Hyper-E notation | E756 (exact) | |
s(n) map | \(s(1)^3(\lambda x.x+1)(8)\) | \(s(1)^3(\lambda x.x+1)(9)\) |
m(n) map | m(1)(304) | m(1)(305) |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)(0)[29] | (0)(0)(0)(0)(0)(0)(0)(0)(0)[30] |
Fast-growing hierarchy | \(f_2(2500)\) | \(f_2(2501)\) |
Hardy hierarchy | \(H_{\omega^2}(2500)\) | \(H_{\omega^2}(2501)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2 7+\omega 5+6}}(10)\) (exact) |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-02-11.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-02-11.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-02-11.
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-)