Treexillion is equal to \(10^{9\times 10^{3\times 10^{18}}+3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.

Etymology Edit

"\( n \)-illion" means \( 10^{3n+3} \), "ex(o)-" means \( n=10^{3\times10^{18}} \). (6th entry in the 3rd tier), and "tre" means "three times", referring "ex". Therefore, "treexillion" means \(10^{3\times(3\times 10^{3\times 10^{18}})+3}\).

(note: Even though the name starts with "tree", it has nothing to do with TREE sequence.)

Approximations in other notations Edit

Notation Approximation or exact value
Up-arrow notation \(10 \uparrow\uparrow 4\)
Hyperfactorial array notation \(6!1\)
Fast-growing hierarchy \(f_3(6)\)
Hardy hierarchy \(H_{\omega^3}(6)\)
Slow-growing hierarchy \(g_{\omega^ {\omega^ {\omega^ {\omega+8}} } }(10)\)

Sources Edit

  1. Sbiis Saibian, Jonathan Bowers' 4 Tiered -illion Series - Large Numbers

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