Quinquadragintatrecentillion

A quinquadragintatrecentillion is equal to \(10^{1038}\) in the short scale and \(10^{2070}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 345th -illion number.
In the long scale, \(10^{1038}\) is called treseptuagintacentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1038}\) (exact) 	\(1\times10^{1038}\) (exact)
Arrow notation 	\(10\uparrow 1038\) (exact) 	\(10\uparrow 1038\) (exact)
Steinhaus-Moser Notation 	399[3] 	400[3]
Chained arrow notation 	\(10\rightarrow 1038\) (exact) 	\(10\rightarrow 1038\) (exact)
Taro's multivariable Ackermann function	A(3,3445) 	A(3,3446)
BEAF & Bird's array notation 	{10,1038} (exact) 	{10,1038} (exact)
Hyper-E notation 	E1038 (exact) 	E1038 (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)(399) 	m(1)(400)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3436)\) 	\(f_2(3437)\)
Hardy hierarchy 	\(H_{\omega^2}(3436)\) 	\(H_{\omega^2}(3437)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2070}\) (exact) 	\(1\times10^{2070}\) (exact)
Arrow notation 	\(10\uparrow 2070\) (exact) 	\(10\uparrow 2070\) (exact)
Steinhaus-Moser Notation 	723[3] 	724[3]
Chained arrow notation 	\(10\rightarrow 2070\) (exact) 	\(10\rightarrow 2070\) (exact)
Taro's multivariable Ackermann function	A(3,6873) 	A(3,6874)
BEAF & Bird's array notation 	{10,2070} (exact) 	{10,2070} (exact)
Hyper-E notation 	E2070 (exact) 	E2070 (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)(723) 	m(1)(724)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6863)\) 	\(f_2(6864)\)
Hardy hierarchy 	\(H_{\omega^2}(6863)\) 	\(H_{\omega^2}(6864)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 7}}(10)\) (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