Trenonagintasescentillion

A trenonagintasescentillion is equal to \(10^{2082}\) in the short scale and \(10^{4158}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 693rd -illion number.
In the long scale, \(10^{2082}\) is called septenquadragintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2082}\) (exact) 	\(1\times10^{2082}\) (exact)
Arrow notation 	\(10\uparrow 2082\) (exact) 	\(10\uparrow 2082\) (exact)
Steinhaus-Moser Notation 	727[3] 	728[3]
Chained arrow notation 	\(10\rightarrow 2082\) (exact) 	\(10\rightarrow 2082\) (exact)
Taro's multivariable Ackermann function	A(3,6913) 	A(3,6914)
BEAF & Bird's array notation 	{10,2082} (exact) 	{10,2082} (exact)
Hyper-E notation 	E2082 (exact) 	E2082 (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)(727) 	m(1)(728)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6903)\) 	\(f_2(6904)\)
Hardy hierarchy 	\(H_{\omega^2}(6903)\) 	\(H_{\omega^2}(6904)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 8+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 8+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4158}\) (exact) 	\(1\times10^{4158}\) (exact)
Arrow notation 	\(10\uparrow 4158\) (exact) 	\(10\uparrow 4158\) (exact)
Steinhaus-Moser Notation 	1330[3] 	1331[3]
Chained arrow notation 	\(10\rightarrow 4158\) (exact) 	\(10\rightarrow 4158\) (exact)
Taro's multivariable Ackermann function	A(3,13809) 	A(3,13810)
BEAF & Bird's array notation 	{10,4158} (exact) 	{10,4158} (exact)
Hyper-E notation 	E4158 (exact) 	E4158 (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)(1330) 	m(1)(1331)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13798)\) 	\(f_2(13799)\)
Hardy hierarchy 	\(H_{\omega^2}(13798)\) 	\(H_{\omega^2}(13799)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2+\omega 5+8}}(10)\) (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