Barralillion

Barralillion (formerly barrekalillion) is equal to \(10^{3\times 10^{3\times 10^{3\times {10^{63}}}} + 3}\)Extended Tier 4 to 6 illions or \(10^{3\times 10^{3\times 10^{3\textrm{ vigintillion}}} + 3}\) using the short scale definition of vigintillion. The term was coined by CompactStar and is part of his unofficial extension of Bower's -illion system which ended at multillion. 
== Etymology ==
Boths name are derived from the addition of barrillion and kalillion.
== Approximations ==
Notation 	Expression
Up-arrow notation 	\(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (3\times 10\uparrow 63))))+3)\) (exact)
Chained arrow notation 	\(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow (3\times 10\rightarrow 63))))+3)\) (exact)
H* function 	H(H(H(H(20)-1)-1))
Hyper-E notation 	E63#4
BEAF 	\(\{10,\{3\times \{10,3 \times \{10,3\times \{10,63\}\}\}+3\}\}\) (exact)
Munafo's ASCII-lexicographic ordering	p3_e063_3
Fast-growing hierarchy 	\(f_{2}^4(205)\)
Hardy hierarchy 	\(H_{\omega^2 4}(205)\)
== Sources ==
== See also ==
* Zillion Notation
* Extensible Illion System
Category:Numbers
Category:Class 5
Category:Illion
Category:Numbers and functions by CompactStar