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The trastillion is equal to \(10^{3\times10^{3\times10^{9,000,000,000,000}}+3}\). 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 "ast" (4th Tier 4 root from "astillion") and the suffix "-illion".

Approximations[]

Notation Expression
Up-arrow notation \(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (9 \times (10 \uparrow 12)))))+3)\)
Chained arrow notation \(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \rightarrow (9 \times (10 \uparrow 12)))))+3)\)
H* function H(H(H(3*H(3)-1)-1)) (exact)
BEAF \(\{10,\{3\times \{10,3 \times \{10,9 \times \{10,12\}\}\}+3\}\}\)

Sources[]