Treseptuagintasescentillion

A treseptuagintasescentillion is equal to \(10^{2022}\) in the short scale and \(10^{4038}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 673rd -illion number.
In the long scale, \(10^{2022}\) is called septentrigintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2022}\) (exact) 	\(1\times10^{2022}\) (exact)
Arrow notation 	\(10\uparrow 2022\) (exact) 	\(10\uparrow 2022\) (exact)
Steinhaus-Moser Notation 	709[3] 	710[3]
Chained arrow notation 	\(10\rightarrow 2022\) (exact) 	\(10\rightarrow 2022\) (exact)
Taro's multivariable Ackermann function	A(3,6713) 	A(3,6714)
BEAF & Bird's array notation 	{10,2022} (exact) 	{10,2022} (exact)
Hyper-E notation 	E2022 (exact) 	E2022 (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)(709) 	m(1)(710)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6704)\) 	\(f_2(6705)\)
Hardy hierarchy 	\(H_{\omega^2}(6704)\) 	\(H_{\omega^2}(6705)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 2+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4038}\) (exact) 	\(1\times10^{4038}\) (exact)
Arrow notation 	\(10\uparrow 4038\) (exact) 	\(10\uparrow 4038\) (exact)
Steinhaus-Moser Notation 	1297[3] 	1298[3]
Chained arrow notation 	\(10\rightarrow 4038\) (exact) 	\(10\rightarrow 4038\) (exact)
Taro's multivariable Ackermann function	A(3,13410) 	A(3,13411)
BEAF & Bird's array notation 	{10,4038} (exact) 	{10,4038} (exact)
Hyper-E notation 	E4038 (exact) 	E4038 (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)(1297) 	m(1)(1298)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13400)\) 	\(f_2(13401)\)
Hardy hierarchy 	\(H_{\omega^2}(13400)\) 	\(H_{\omega^2}(13401)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega 3+8}}(10)\) (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