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The gaxillion is equal to \(10^{3 \cdot 10^{3 \cdot 10^{3 \cdot \text{decillion}}} + 3}\) [1], or \(10^{3 \cdot 10^{3 \cdot 10^{3 \cdot 10^{33}}} + 3}\).

Etymology Edit

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

 Expressions in other notations Edit

Notation  Expression
Up-arrow notation \(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (3\text{ decillion}))))+3)\)
Chained arrow notation \(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow (3\text{ decillion}))))+3)\)
BEAF \(\{10,\{3\times \{10,3 \times \{10,3\text{ decillion}\}\}+3\}\}\)
Munafo's ASCII-lexicographic ordering p3_e033_3

Sources Edit

  1. Illion Numbers by Jonathan Bowers
  2. Jonathan Bowers' 4-tiered -illion Series - Large Numbers by Sbiis Saibian

See also Edit