Thirty-threes is equal to \(3\times \frac{10^{30}-1}{9}\), or 30 copies of 3:[1]

333,333,333,333,333,333,333,333,333,333

It equal to \(3*30\) using Hypermathematics.

Its prime factorization is 32 × 7 × 11 × 13 × 31 × 37 × 41 × 211 × 241 × 271 × 2,161 × 9,091 × 2,906,161.

Approximations

Notation Lower bound Upper bound
Scientific notation \(3.333\times10^{29}\) \(3.334\times10^{29}\)
Arrow notation \(70\uparrow16\) \(93\uparrow15\)
Steinhaus-Moser Notation 21[3] 22[3]
Copy notation 3[30]
Taro's multivariable Ackermann function A(3,95) A(3,96)
Pound-Star Notation #*(5,4,2,4)*6 #*(6,4,2,4)*6
BEAF {70,16} {93,15}
Hyper-E notation 3E29 4E29
Bashicu matrix system (0)(0)(0)[4901] (0)(0)(0)[4902]
Hyperfactorial array notation 28! 29!
Fast-growing hierarchy \(f_2(91)\) \(f_2(92)\)
Hardy hierarchy \(H_{\omega^2}(91)\) \(H_{\omega^2}(92)\)
Slow-growing hierarchy \(g_{\omega^{\omega4+6}6+\omega^{\omega4+5}}(7)\) \(g_{\omega^{\omega+6}16+\omega^{\omega+5}12}(17)\)

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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