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Not to be confused with triangol.

Triangoogol is equal to trn100(2), where trn(n) is the n-th triangular number.[1] The term was coined by wiki user Allam948736. It is 163,489,217,887,235,173,465,886,368,894 (or approximately \(1.635\times 10^{29}\)) digits long.

Approximations

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow29\) \(2\uparrow2\uparrow99\)
Down-arrow notation \(10\downarrow\downarrow30\) \(2\downarrow\downarrow100\)
Steinhaus-Moser notation 21[3][3] 22[3][3]
BEAF {10, {10, 29}} {2, {2, 99}}
Copy notation 1[1[30]] 2[2[30]]
Fast-growing hierarchy \(f_2(f_2(92))\) \(f_2(f_2(93))\)
Slow-growing hierarchy \(g_{\omega^{\omega^{29}}}(10)\) \(g_{\omega^{\omega^{29}2}}(10)\)
Hardy hierarchy \(H_{\omega^2\times2}(92)\) \(H_{\omega^2\times2}(93)\)
Hyper-E notation E29#2 E[2]99#2
Hyperfactorial array notation (26!)! (27!)!

Decimal expansion

The partial decimal expansion of this number is:[1]

7415799053182406669660341840747385939311187443131696867900056390686796275085884468956158473550043781...(163,489,217,887,235,173,465,886,368,723 other digits)...41276880773456396977294267827105086350274827345751276878885453031

Sources

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