Quadragintatrecentillion

A quadragintatrecentillion is equal to \(10^{1023}\) in the short scale and \(10^{2040}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 340th -illion number.
In the long scale, \(10^{1023}\) is called septuagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1023}\) (exact) 	\(1\times10^{1023}\) (exact)
Arrow notation 	\(10\uparrow 1023\) (exact) 	\(10\uparrow 1023\) (exact)
Steinhaus-Moser Notation 	394[3] 	395[3]
Chained arrow notation 	\(10\rightarrow 1023\) (exact) 	\(10\rightarrow 1023\) (exact)
Taro's multivariable Ackermann function	A(3,3395) 	A(3,3396)
BEAF & Bird's array notation 	{10,1023} (exact) 	{10,1023} (exact)
Hyper-E notation 	E1023 (exact) 	E1023 (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)(394) 	m(1)(395)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3386)\) 	\(f_2(3387)\)
Hardy hierarchy 	\(H_{\omega^2}(3386)\) 	\(H_{\omega^2}(3387)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2040}\) (exact) 	\(1\times10^{2040}\) (exact)
Arrow notation 	\(10\uparrow 2040\) (exact) 	\(10\uparrow 2040\) (exact)
Steinhaus-Moser Notation 	714[3] 	715[3]
Chained arrow notation 	\(10\rightarrow 2040\) (exact) 	\(10\rightarrow 2040\) (exact)
Taro's multivariable Ackermann function	A(3,6773) 	A(3,6774)
BEAF & Bird's array notation 	{10,2040} (exact) 	{10,2040} (exact)
Hyper-E notation 	E2040 (exact) 	E2040 (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)(714) 	m(1)(715)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6764)\) 	\(f_2(6765)\)
Hardy hierarchy 	\(H_{\omega^2}(6764)\) 	\(H_{\omega^2}(6765)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 4}}(10)\) (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