- Not to be confused with 99.
Ninety-nines is equal to \(9 \lfloor 10^{90} / 9\rfloor = 10^{90} - 1\), or 90 copies of 9:[1]
- 999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999or metamathematically with interior superscription as \(9^{88}9\)
It is exactly googol/dialogue - 1, or one novemvigintillion - 1.
Its prime factorization is 34 × 7 × 11 × 13 × 19 × 31 × 37 × 41 × 211 × 241 × 271 × 2,161 × 9,091 × 29,611 × 52,579 × 238,681 × 333,667 × 2,906,161 × 3,762,091 × 8,985,695,684,401 × 4,185,502,830,133,110,721.
This number is one less than a novemvigintillion.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(9.999\times10^{89}\) | \(1\times10^{90}\) |
| Arrow notation | \(111\uparrow44\) | \(10\uparrow90\) |
| Steinhaus-Moser Notation | 52[3] | 53[3] |
| Copy notation | 9[90] | |
| Taro's multivariable Ackermann function | A(3,295) | A(3,296) |
| Pound-Star Notation | #*(2,12,2,8,4,3)*10 | #*(1,3,7,7,2,2,10)*7 |
| BEAF | {111,44} | {10,90} |
| Hyper-E notation | 9E89 | E90 |
| Bashicu matrix system | (0)(0)(0)(0)(0)[649] | (0)(0)(0)(0)(0)[650] |
| Hyperfactorial array notation | 64! | 65! |
| Fast-growing hierarchy | \(f_2(290)\) | \(f_2(291)\) |
| Hardy hierarchy | \(H_{\omega^2}(290)\) | \(H_{\omega^2}(291)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega+4}2}(9)\) | \(g_{\omega^{\omega9}}(10)\) |
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
Archive André Joyce archive