The trdoocol or 13-noogol is equal to s(10,13) using strong array notation, or 1013 = 10,000,000,000,000.[1] The term was coined by Aarex Tiaokhiao.
This number is known as a neel in the Indian counting system.[2]
As a banknote denomination[]
Some currencies, such as the German Papiermark, the Hungarian pengő and the third Zimbabwean dollar, had banknotes with this number in the denomination.
Approximations[]
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{13}\) | |
| Arrow notation | \(10\uparrow13\) | |
| Steinhaus-Moser Notation | 12[3] | 13[3] |
| Copy notation | 9[13] | 10[7] |
| Taro's multivariable Ackermann function | A(3,40) | A(3,41) |
| Pound-Star Notation | #*(3,1,5)*4 | #*(4,1,5)*4 |
| BEAF | {10,13} | |
| Hyper-E notation | E13 | |
| Bashicu matrix system | (0)(0)[1778] | (0)(0)[1779] |
| Hyperfactorial array notation | 3![1] | 16! |
| Fast-growing hierarchy | \(f_2(37)\) | \(f_2(38)\) |
| Hardy hierarchy | \(H_{\omega^2}(37)\) | \(H_{\omega^2}(38)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega+3}}(10)\) | |
Sources[]
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ Indian Number System. Retrieved 2021-12-12.