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

Etymology[]

The name of the number is based on the number that said "googol" 2 times.

Approximations[]

Notation Approximation
Extended Hyper-E notation \(E10\#^{10^{100}+1}101\)
Bird's array notation \(\{\underbrace{10, 10, 10, 10, 10, \dots , 10, 10, 10, 10, 10}_{10^{100}\text{ tens}}, 100\}\) (exact)
Fast-growing hierarchy \(f_{\omega^{10^{100}-1}}(100)\)
Hardy hierarchy \(H_{\omega^{(\omega^{10^{100}-1})}}(100)\)

Sources[]

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