Quattuortrigintatrecentillion

A quattuortrigintatrecentillion is equal to \(10^{1005}\) in the short scale and \(10^{2004}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 334th -illion number.
In the long scale, \(10^{1005}\) is called septensexagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1005}\) (exact) 	\(1\times10^{1005}\) (exact)
Arrow notation 	\(10\uparrow 1005\) (exact) 	\(10\uparrow 1005\) (exact)
Steinhaus-Moser Notation 	388[3] 	389[3]
Chained arrow notation 	\(10\rightarrow 1005\) (exact) 	\(10\rightarrow 1005\) (exact)
Taro's multivariable Ackermann function	A(3,3335) 	A(3,3336)
BEAF & Bird's array notation 	{10,1005} (exact) 	{10,1005} (exact)
Hyper-E notation 	E1005 (exact) 	E1005 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(388) 	m(1)(389)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3326)\) 	\(f_2(3327)\)
Hardy hierarchy 	\(H_{\omega^2}(3326)\) 	\(H_{\omega^2}(3327)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+5}}(10)\) (exact)	\(g_{\omega^{\omega^3+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2004}\) (exact) 	\(1\times10^{2004}\) (exact)
Arrow notation 	\(10\uparrow 2004\) (exact) 	\(10\uparrow 2004\) (exact)
Steinhaus-Moser Notation 	703[3] 	704[3]
Chained arrow notation 	\(10\rightarrow 2004\) (exact) 	\(10\rightarrow 2004\) (exact)
Taro's multivariable Ackermann function	A(3,6654) 	A(3,6655)
BEAF & Bird's array notation 	{10,2004} (exact) 	{10,2004} (exact)
Hyper-E notation 	E2004 (exact) 	E2004 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(703) 	m(1)(704)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6644)\) 	\(f_2(6645)\)
Hardy hierarchy 	\(H_{\omega^2}(6644)\) 	\(H_{\omega^2}(6645)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers