The googolsextiplexidex is equal to E100#7#2 using Hyper-E notation.[1][2] The term was coined by Sbiis Saibian.
Etymology[]
The name googolsextiplexidex comes from the word googolsextiplex and the suffix -dex, so this number has a power tower of googolsextiplex terms high topped off with 100.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(10 \uparrow\uparrow (10 \uparrow)^7 101\) | \(10 \uparrow\uparrow (10 \uparrow)^7 102\) |
| Chained arrow notation | \(57 \rightarrow (57 \rightarrow 7 \rightarrow 2) \rightarrow 2\) | \(57 \rightarrow (58 \rightarrow 7 \rightarrow 2) \rightarrow 2\) |
| BEAF & Bird's array notation | \(\{57,\{57,7,2\},2\}\) | \(\{57,\{58,7,2\},2\}\) |
| Hyperfactorial array notation | (8!1)!1 | (9!1)!1 |
| Fast-growing hierarchy | \(f_3(f_2^{7}(324))\) | \(f_3(f_2^{7}(325))\) |
| Hardy hierarchy | \(H_{(\omega^3)+\omega^2 \times 7}(324)\) | \(H_{(\omega^3)+\omega^2 \times 7}(325)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_{\omega↑↑7}}(57)\) | \(g_{\varepsilon_{\omega↑↑7}}(58)\) |