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The astillion is equal to $$10^{3 \cdot 10^{3 \cdot 10^{3 \cdot \text{trillion}}} + 3}$$ [1], or $$10^{3 \cdot 10^{3 \cdot 10^{3 \cdot 10^{12}}} + 3}$$. The term was coined by Jonathan Bowers.

Etymology

The name of this number is based on the word "asteroid" and the suffix "-illion".[2]

Expressions in other notations

Notation Expression
Up-arrow notation $$10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (3\text{ trillion}))))+3)$$
Chained arrow notation $$10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow (3\text{ trillion}))))+3)$$
BEAF $$\{10,\{3\times \{10,3 \times \{10,3\text{ trillion}\}\}+3\}\}$$
Munafo's ASCII-lexicographic ordering p3_e012_3000000000000477