Aardillion

The aardillion is equal to 0[0,0,1] = 0[0,1000] in the Extensible Illion SystemExtensible Illion System. The term was coined by Nirvana Supermind. It is equal to the 1000th tier-999 illion in Bower's system. See also the issue of the difference of the intended values and the actual values of the Extended Illion System.
==Etymology==
The name of this number is based on the substitute Omnibase digit root aard, which is derived from the word aardvark, and the suffix -illion. The normal root alf was not used because it could be confused with alphillion.
== Approximations==
A reader should be careful that the following table is just the approximation of intended values without a source or a proof, as the creator explains the values of the Extensible Illion System in inconsistent ways.
Notation 	Expression
Up-arrow notation 	\(10 \uparrow (1000 \uparrow\uparrow 998 + 3)\)
Chained arrow notation 	\(10 \rightarrow (1000 \rightarrow\rightarrow 998+3)\)
H* function 	H999(1000)
BEAF 	\(\{10,\{1000,998,2\}+3\}\)
Munafo's ASCII-lexicographic ordering	p998_e3000_3
Fast-growing hierarchy 	\(f_{3}(998)\)
Hardy hierarchy 	\(H_{\omega^3}(998)\)
==Sources==
==See also==
Category:Numbers
Category:Tetration level
Category:Illion