A septemviginticentillion is equal to \(10^{384}\) in the short scale and \(10^{762}\) in the long scale by the Conway and Guy's naming system[1][2][3][4] as it is the 127th -illion number.
In the long scale, \(10^{384}\) is called quattuorsexagintillion.
Approximations[]
For the short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{384}\) (exact) | |
| Arrow notation | \(10\uparrow 384\) (exact) | |
| Steinhaus-Moser Notation | 171[3] | 172[3] |
| Chained arrow notation | \(10\rightarrow 384\) (exact) | |
| Taro's multivariable Ackermann function | A(3,1272) | A(3,1273) |
| BEAF & Bird's array notation | {10,384} (exact) | |
| Hyper-E notation | E384 (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)(171) | m(1)(172) |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)[31] | (0)(0)(0)(0)(0)(0)(0)(0)[32] |
| Fast-growing hierarchy | \(f_2(1265)\) | \(f_2(1266)\) |
| Hardy hierarchy | \(H_{\omega^2}(1265)\) | \(H_{\omega^2}(1266)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2 3+\omega 8+4}}(10)\) (exact) | |
For the long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{762}\) (exact) | |
| Arrow notation | \(10\uparrow 762\) (exact) | |
| Steinhaus-Moser Notation | 306[3] | 307[3] |
| Chained arrow notation | \(10\rightarrow 762\) (exact) | |
| Taro's multivariable Ackermann function | A(3,2528) | A(3,2529) |
| BEAF & Bird's array notation | {10,762} (exact) | |
| Hyper-E notation | E762 (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)(306) | m(1)(307) |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)(0)(0)[30] | (0)(0)(0)(0)(0)(0)(0)(0)(0)[31] |
| Fast-growing hierarchy | \(f_2(2520)\) | \(f_2(2521)\) |
| Hardy hierarchy | \(H_{\omega^2}(2520)\) | \(H_{\omega^2}(2521)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2 7+\omega 6+2}}(10)\) (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-)