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 |
| 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
- ↑ Halm, Michael Joseph. neologisms. Archived from the original on 2014-02-19. Retrieved 2018-02-26.
See also
beast number · twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · ninety-nines
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
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