Housillion

The housillion is equal to \(10^{3\times10^{3\times10^{3\times10^{60}}}+3}\). This term was coined by YouTuber Metsuka The Cute Princess 2007.Metsuka The Cute Princess 2007, All New Official Tier-4 illion Numbers Accessed 2024-05-02. The number was previously named barrillion by CompactStarExtended Tier 4 to 6 illions, but its name changed with the addition of "polyhouson" to newest dimensions in May 2nd 2024.
SeveralLegend9998 calls this number Icostillion.SeveralLegend9998's New Googology Series (Accessed 2024-06-14)
== Etymology ==
The name of this number is based on the word "house" and the suffix "-illion".
== Approximations ==
Notation 	Expression
Up-arrow notation 	\(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow 60)))))+3)\)
Chained arrow notation	\(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow 60)))))+3)\)
H* function 	H(H(H(H(19)-1)-1)) (exact)
BEAF 	\(\{10,\{3\times \{10,3 \times \{10,3 \times \{10,60\}\}\}+3\}\}\)
==Sources==
==See also==
Category:Numbers
Category:Videos
Category:Illion
Category:Class 5
Category:Tier 4 -illion numbers