Metetracontillion

Metetracontillion is equal to \(10^{3\times 10^{123}+3}\) or \(10^{3\textrm{ quadragintillion}+3}\) using the short scale definition of quadragintillion. It is defined by Trakaplex using generalizations from Jonathan Bowers' Tier 2 illion system. It was first mentioned on an answers.com post asking what is bigger than myrillion.Are there numbers bigger than myrillion?
== Etymology ==
The name of this number is based on the suffix "-illion" and the prefix "metetraconta-" (from Greek 41).
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(1000\uparrow(1+10\uparrow123)\) 	\(1000\uparrow(1+10\uparrow123)\)
Down-arrow notation 	\(1000\downarrow\downarrow42\) 	\(1000\downarrow\downarrow43\)
Steinhaus-Moser Notation 	67[3][3] 	68[3][3]
Copy notation 	2[2[124]] 	3[3[124]]
H* function 	H(H(40)) 	H(H(40))
Taro's multivariable Ackermann function	A(3,A(3,408)) 	A(3,A(3,409))
BEAF & Bird's array notation 	{1000,1+{10,123}} 	{1000,1+{10,123}}
Strong array notation 	s(1000,1+s(10,123)) 	s(1000,1+s(10,123))
Hyper-E notation 	E(3+3E123) 	E(3+3E123)
Bashicu matrix system 	(0)(1)[19] 	(0)(1)[20]
Hyperfactorial array notation 	(82!)! 	(83!)!
Fast-growing hierarchy 	\(f_2(f_2(402))\) 	\(f_2(f_2(403))\)
Hardy hierarchy 	\(H_{\omega^22}(402)\) 	\(H_{\omega^22}(403)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^2+\omega2+3}3+3}}(10)\)	\(g_{\omega^{\omega^{\omega^2+\omega2+3}3+3}}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Trakaplex
Category:Tier 2 -illion numbers
Category:Class 3
Category:Upper class 3
Category:Greek-based name
Category:Illion