Tredeciseptingentillion

A tredeciseptingentillion is equal to \(10^{2142}\) in the short scale and \(10^{4278}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 713th -illion number.
In the long scale, \(10^{2142}\) is called septenquinquagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2142}\) (exact) 	\(1\times10^{2142}\) (exact)
Arrow notation 	\(10\uparrow 2142\) (exact) 	\(10\uparrow 2142\) (exact)
Steinhaus-Moser Notation 	745[3] 	746[3]
Chained arrow notation 	\(10\rightarrow 2142\) (exact) 	\(10\rightarrow 2142\) (exact)
Taro's multivariable Ackermann function	A(3,7112) 	A(3,7113)
BEAF & Bird's array notation 	{10,2142} (exact) 	{10,2142} (exact)
Hyper-E notation 	E2142 (exact) 	E2142 (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)(745) 	m(1)(746)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7102)\) 	\(f_2(7103)\)
Hardy hierarchy 	\(H_{\omega^2}(7102)\) 	\(H_{\omega^2}(7103)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4278}\) (exact) 	\(1\times10^{4278}\) (exact)
Arrow notation 	\(10\uparrow 4278\) (exact) 	\(10\uparrow 4278\) (exact)
Steinhaus-Moser Notation 	1364[3] 	1365[3]
Chained arrow notation 	\(10\rightarrow 4278\) (exact) 	\(10\rightarrow 4278\) (exact)
Taro's multivariable Ackermann function	A(3,14208) 	A(3,14209)
BEAF & Bird's array notation 	{10,4278} (exact) 	{10,4278} (exact)
Hyper-E notation 	E4278 (exact) 	E4278 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1364) 	m(1)(1365)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14197)\) 	\(f_2(14198)\)
Hardy hierarchy 	\(H_{\omega^2}(14197)\) 	\(H_{\omega^2}(14198)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega 7+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers