Legion's number of the second kind is equal to \(666!^{666!} \approx 10^{1.609941\times10^{1,596}}\), where \(666!\) represents the factorial of 666.[1]
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(770\uparrow338\uparrow631\) | \(601\uparrow409\uparrow611\) |
| Down-arrow notation | \(237\downarrow\downarrow673\) | \(596\downarrow\downarrow576\) |
| Steinhaus-Moser Notation | 576[3][3] | 577[3][3] |
| Copy notation | 1[1[1597]] | 2[2[1597]] |
| H* function | H(536H(530)) | H(537H(530)) |
| Taro's multivariable Ackermann function | A(3,A(3,5301)) | A(3,A(3,5302)) |
| Pound-Star Notation | #*((1))*((92))*17 | #*((1))*((93))*17 |
| BEAF | {770,{338,631}} | {601,{409,611}} |
| Hyper-E notation | E[237]672#2 | E[596]575#2 |
| Bashicu matrix system | (0)(1)[72] | (0)(1)[73] |
| Hyperfactorial array notation | (666!)! | (667!)! |
| Fast-growing hierarchy | \(f_2(f_2(5291))\) | \(f_2(f_2(5292))\) |
| Hardy hierarchy | \(H_{\omega^22}(5291)\) | \(H_{\omega^22}(5292)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^3+\omega^25+\omega9+6}}}(10)\) | \(g_{\omega^{\omega^{\omega^3+\omega^25+\omega9+6}2}}(10)\) |
See also[]
Sources[]
Specific numbers: Beast number · Belphegor's prime · Legion's number of the first kind · Super-leviathan · Legion's number of the second kind · Leviathan number
Forms of numbers: apocalypse number · apocalyptic number · apocalyptri number · apocalyptetra number · apocalypenta number · apocalyhexakosioihexekontahexa number · Goliath number