Grand grand balum is equal to \(f_2^3(10) = f_2^2(10240) = f_2(10240 \times 2^{10240})\) ~ 103.609570726*103086 using fast-growing hierarchy.[1] The term was coined by ARsygo. It has 3,087 digits.
Approximations[]
| Notation | Approximation |
|---|---|
| Arrow notation | \(10 \uparrow 10 \uparrow 3086\) |
| Bowers' Exploding Array Function | {10,{10,3086}} |
| Bashicu matrix system version 2.3 = 4 |
(0)(1)[101] |
| Chained arrow notation | \(10 \rightarrow (10 \rightarrow 3086)\) |
| Scientific notation | 103.609570726*103086 |
| Hardy hierarchy | \(H_{\omega^2 \times 3}(10)\) (exact) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^3 + \omega 8 + 6}}}(10)\) |
Sources[]
- ↑ AR Googol - Fast-growing hierarchy numbers Retrieved 2025-06-18.