Tredecinongentillion

A tredecinongentillion is equal to \(10^{2742}\) in the short scale and \(10^{5478}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 913th -illion number.
In the long scale, \(10^{2742}\) is called septenquinquagintaquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2742}\) (exact) 	\(1\times10^{2742}\) (exact)
Arrow notation 	\(10\uparrow 2742\) (exact) 	\(10\uparrow 2742\) (exact)
Steinhaus-Moser Notation 	924[3] 	925[3]
Chained arrow notation 	\(10\rightarrow 2742\) (exact) 	\(10\rightarrow 2742\) (exact)
Taro's multivariable Ackermann function	A(3,9105) 	A(3,9106)
BEAF & Bird's array notation 	{10,2742} (exact) 	{10,2742} (exact)
Hyper-E notation 	E2742 (exact) 	E2742 (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)(924) 	m(1)(925)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9095)\) 	\(f_2(9096)\)
Hardy hierarchy 	\(H_{\omega^2}(9095)\) 	\(H_{\omega^2}(9096)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5478}\) (exact) 	\(1\times10^{5478}\) (exact)
Arrow notation 	\(10\uparrow 5478\) (exact) 	\(10\uparrow 5478\) (exact)
Steinhaus-Moser Notation 	1696[3] 	1697[3]
Chained arrow notation 	\(10\rightarrow 5478\) (exact) 	\(10\rightarrow 5478\) (exact)
Taro's multivariable Ackermann function	A(3,18194) 	A(3,18195)
BEAF & Bird's array notation 	{10,5478} (exact) 	{10,5478} (exact)
Hyper-E notation 	E5478 (exact) 	E5478 (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)(1696) 	m(1)(1697)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(18183)\) 	\(f_2(18184)\)
Hardy hierarchy 	\(H_{\omega^2}(18183)\) 	\(H_{\omega^2}(18184)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 4+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 4+\omega 7+8}}(10)\) (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