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