Trenongentillion

A trenongentillion is equal to \(10^{2712}\) in the short scale and \(10^{5418}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 903rd -illion number.
In the long scale, \(10^{2712}\) is called duoquinquagintaquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2712}\) (exact) 	\(1\times10^{2712}\) (exact)
Arrow notation 	\(10\uparrow 2712\) (exact) 	\(10\uparrow 2712\) (exact)
Steinhaus-Moser Notation 	915[3] 	916[3]
Chained arrow notation 	\(10\rightarrow 2712\) (exact) 	\(10\rightarrow 2712\) (exact)
Taro's multivariable Ackermann function	A(3,9006) 	A(3,9007)
BEAF & Bird's array notation 	{10,2712} (exact) 	{10,2712} (exact)
Hyper-E notation 	E2712 (exact) 	E2712 (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)(915) 	m(1)(916)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8995)\) 	\(f_2(8996)\)
Hardy hierarchy 	\(H_{\omega^2}(8995)\) 	\(H_{\omega^2}(8996)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5418}\) (exact) 	\(1\times10^{5418}\) (exact)
Arrow notation 	\(10\uparrow 5418\) (exact) 	\(10\uparrow 5418\) (exact)
Steinhaus-Moser Notation 	1679[3] 	1680[3]
Chained arrow notation 	\(10\rightarrow 5418\) (exact) 	\(10\rightarrow 5418\) (exact)
Taro's multivariable Ackermann function	A(3,17995) 	A(3,17996)
BEAF & Bird's array notation 	{10,5418} (exact) 	{10,5418} (exact)
Hyper-E notation 	E5418 (exact) 	E5418 (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)(1679) 	m(1)(1680)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17984)\) 	\(f_2(17985)\)
Hardy hierarchy 	\(H_{\omega^2}(17984)\) 	\(H_{\omega^2}(17985)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 4+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 4+\omega+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers