Tredecisescentillion

A tredecisescentillion is equal to \(10^{1842}\) in the short scale and \(10^{3678}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 613th -illion number.
In the long scale, \(10^{1842}\) is called septentrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1842}\) (exact) 	\(1\times10^{1842}\) (exact)
Arrow notation 	\(10\uparrow 1842\) (exact) 	\(10\uparrow 1842\) (exact)
Steinhaus-Moser Notation 	654[3] 	655[3]
Chained arrow notation 	\(10\rightarrow 1842\) (exact) 	\(10\rightarrow 1842\) (exact)
Taro's multivariable Ackermann function	A(3,6115) 	A(3,6116)
BEAF & Bird's array notation 	{10,1842} (exact) 	{10,1842} (exact)
Hyper-E notation 	E1842 (exact) 	E1842 (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)(654) 	m(1)(655)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6106)\) 	\(f_2(6107)\)
Hardy hierarchy 	\(H_{\omega^2}(6106)\) 	\(H_{\omega^2}(6107)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 8+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 8+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3678}\) (exact) 	\(1\times10^{3678}\) (exact)
Arrow notation 	\(10\uparrow 3678\) (exact) 	\(10\uparrow 3678\) (exact)
Steinhaus-Moser Notation 	1195[3] 	1196[3]
Chained arrow notation 	\(10\rightarrow 3678\) (exact) 	\(10\rightarrow 3678\) (exact)
Taro's multivariable Ackermann function	A(3,12215) 	A(3,12216)
BEAF & Bird's array notation 	{10,3678} (exact) 	{10,3678} (exact)
Hyper-E notation 	E3678 (exact) 	E3678 (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)(1195) 	m(1)(1196)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12204)\) 	\(f_2(12205)\)
Hardy hierarchy 	\(H_{\omega^2}(12204)\) 	\(H_{\omega^2}(12205)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 6+\omega 7+8}}(10)\) (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