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Octogintoogol is equal to \(\{\underbrace{10, 10, 10, 10, 10, \dots , 10, 10, 10, 10, 10}_{80\text{ tens}}, 100\}\). This term was coined by YouTuber Douglas Shamlin Jr.[1]

Etymology[]

The name of the number is based on the numbers "octogintillion" and "googol".

Approximations[]

Notation Approximation
Extended Hyper-E notation \(E10\#^{81}101\)
Bird's array notation \(\{\underbrace{10, 10, 10, 10, 10, \dots , 10, 10, 10, 10, 10}_{80\text{ tens}}, 100\}\) (exact)
Fast-growing hierarchy \(f_{\omega^{79}}(100)\)
Hardy hierarchy \(H_{\omega^{(\omega^{79})}}(100)\)

Sources[]

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