The meroogol is equal to (8/45)2*(152,587,890,625,000/7,623)3*128/5445 ~ 5.958672011281*1027, or around 5.96 octillion in the short scale.[1] It is the result of putting "googol" into Andre Joyce's (broken) merology system, a system intended to translate words into numbers such that "zero" becomes 0, "one" becomes 1, etc.[2] The term was coined by Googology Wiki user Cookiefonster.
Its prime factorization is 222 × 3-12 × 554 × 7-3 × 11-8.
Etymology[]
The number's name comes from "merology" + googol.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(5.958\times10^{27}\) | \(5.959\times10^{27}\) |
| Arrow notation | \(43\uparrow17\) | \(29\uparrow19\) |
| Steinhaus-Moser Notation | 21[3] | 22[3] |
| Copy notation | 5[28] | 6[28] |
| Taro's multivariable Ackermann function | A(3,89) | A(3,90) |
| Pound-Star Notation | #*(3,0,5,2)*6 | #*(8,4,6)*8 |
| BEAF | {43,17} | {29,19} |
| Hyper-E notation | E[21]1#2 | 6E27 |
| Bashicu matrix system | (0)(0)(0)[2964] | (0)(0)(0)[2965] |
| Hyperfactorial array notation | 26! | 27! |
| Fast-growing hierarchy | \(f_2(85)\) | \(f_2(86)\) |
| Hardy hierarchy | \(H_{\omega^2}(85)\) | \(H_{\omega^2}(86)\) |
| Slow-growing hierarchy | \(g_{\omega^{17}5+\omega^{16}13}(39)\) | \(g_{\omega^{\omega2+4}5}(11)\) |