Eighty-eights is equal to \(8 \lfloor 10^{80} / 9\rfloor\), or 80 copies of 8:[1]

88,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888,888 or metamathematically with interior superscription as \(8^{78}8\)

Its prime factorization is 23 × 11 × 17 × 41 × 73 × 101 × 137 × 271 × 3,541 × 9,091 × 27,961 × 1,676,321 × 5,070,721 × 5,882,353 × 5,964,848,081 × 19,721,061,166,646,717,498,359,681.

Approximations

Notation Lower bound Upper bound
Scientific notation \(8.888\times10^{79}\) \(8.889\times10^{79}\)
Arrow notation \(127\uparrow38\) \(145\uparrow37\)
Steinhaus-Moser Notation 47[3] 48[3]
Copy notation 8[80]
Taro's multivariable Ackermann function A(3,262) A(3,263)
Pound-Star Notation #*(5,1,3,5,1,5,1)*7 #*(6,1,3,5,1,5,1)*7
BEAF {127,38} {145,37}
Hyper-E notation 8E79 9E79
Bashicu matrix system (0)(0)(0)(0)[99266] (0)(0)(0)(0)[99267]
Hyperfactorial array notation 58! 59!
Fast-growing hierarchy \(f_2(257)\) \(f_2(258)\)
Hardy hierarchy \(H_{\omega^2}(257)\) \(H_{\omega^2}(258)\)
Slow-growing hierarchy \(g_{\omega^{42}9}(76)\) \(g_{\omega^{\omega^32+\omega}3}(4)\)

Sources

  1. Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.

See also

Repdigit googologisms
Numbers by André Joyce
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