The traxillion is equal to \(10^{3\times10^{3\times10^{9\times10^{33}}}+3}\). This term was coined by YouTuber Metsuka The Cute Princess 2007.[1]
Etmology[]
This number is generalized from "tr" (3rd Tier 3 multiplicative root) and "gax" (11th Tier 4 root from "gaxillion" with the first letter removed as a Tier 3 multiplicative) and the suffix "-illion".
Approximations[]
| Notation | Expression |
|---|---|
| Up-arrow notation | \(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (9 \times (10 \uparrow 33)))))+3)\) |
| Chained arrow notation | \(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \rightarrow (9 \times (10 \uparrow 33)))))+3)\) |
| H* function | H(H(H(3*H(10)-1)-1)) (exact) |
| BEAF | \(\{10,\{3\times \{10,3 \times \{10,9 \times \{10,33\}\}\}+3\}\}\) |
Sources[]
- ↑ Metsuka The Cute Princess 2007, All New Official Tier-4 illion Numbers Accessed 2024-05-02.