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The exillion is equal to $$10^{3 \cdot 10^{3 \cdot 10^{18}}+3}$$, or $$10^{3 \cdot 10^{3 \cdot \text{quintillion}} + 3}$$ using the short scale definition of quintillion.[1] The term was coined by Jonathan Bowers.

## Contents

### Etymology

The name of this number is based on the suffix "-illion" and SI prefix "exa-".

### Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow 18)))+3)$$ (exact)
Chained arrow notation $$10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow 18)))+3)$$ (exact)
BEAF $$\{10,\{3\times \{10,3 \times \{10,18\}\}+3\}\}$$ (exact)