Screenshot from the episode where the number appeared
SpongeBob's Number is equal to 29,998,559,671,349, which is approximately 30 trillion using the short scale and 30 billion using the long scale. The number appeared in an episode of SpongeBob SquarePants called "Have You Seen This Snail?", where SpongeBob is given a challenge of hitting a paddle ball this many times in a row called "the dirty bubble challenge". The name was coined by Googology Wiki user Cookiefonster.[1] It may be the number of times the paddle ball has to hit the dirty bubble in order to pop him.
Even with a constant 4 hits per second, the challenge would still take a minimum of about 238,050 years.
SpongeBob's Number is a prime number.
Approximations
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(2.999\times10^{13}\) | \(3\times10^{13}\) |
| Arrow notation | \(84\uparrow7\) | \(85\uparrow7\) |
| Steinhaus-Moser Notation | 12[3] | 13[3] |
| Copy notation | 2[14] | 3[14] |
| Taro's multivariable Ackermann function | A(3,41) | A(3,42) |
| Pound-Star Notation | #*(0,2,6)*4 | #*(1,2,6)*4 |
| BEAF | {84,7} | {85,7} |
| Hyper-E notation | 2E13 | 3E13 |
| Bashicu matrix system | (0)(0)[2340] | (0)(0)[2341] |
| Hyperfactorial array notation | 16! | 17! |
| Fast-growing hierarchy | \(f_2(39)\) | \(f_2(40)\) |
| Hardy hierarchy | \(H_{\omega^2}(39)\) | \(H_{\omega^2}(40)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega+3}2+\omega^{\omega+2}9+\omega^{\omega+1}9+\omega^\omega9}(10)\) | \(g_{\omega^{\omega+3}3}(10)\) |