Changes: Novenonagintaducentillion

Revision as of 21:10, 12 December 2020

The duocennovemnonagintillion is equal to 10⁹⁰⁰ in America or 10^1,794 in France and Germany.

Aarex Tiaokhiao calls this number tricentillion.^[1] He also gave the names noohol and 900-noogol, referring to the short scale value of this number.^[2]

Approximations

For short scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{900}\)
Arrow notation	\(10\uparrow900\)
Steinhaus-Moser Notation	353[3]	354[3]
Copy notation	9[900]	1[901]
Taro's multivariable Ackermann function	A(3,2986)	A(3,2987)
Pound-Star Notation	#((53))18	#((54))18
BEAF	{10,900}
Hyper-E notation	E900
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)(0)[3278]	(0)(0)(0)(0)(0)(0)(0)(0)[3279]
Hyperfactorial array notation	411!	412!
Fast-growing hierarchy	\(f_2(2\,978)\)	\(f_2(2\,979)\)
Hardy hierarchy	\(H_{\omega^2}(2\,978)\)	\(H_{\omega^2}(2\,979)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^29}}(10)\)

For long scale:

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{1\,794}\)
Arrow notation	\(10\uparrow1\,794\)
Steinhaus-Moser Notation	639[3]	640[3]
Copy notation	9[1794]	1[1795]
Taro's multivariable Ackermann function	A(3,5956)	A(3,5957)
Pound-Star Notation	#((613))24	#((614))24
BEAF	{10,1794}
Hyper-E notation	E1,794
Bashicu matrix system	(0)(1)[3]	(0)(1)[4]
Hyperfactorial array notation	736!	737!
Fast-growing hierarchy	\(f_2(5\,947)\)	\(f_2(5\,948)\)
Hardy hierarchy	\(H_{\omega^2}(5\,947)\)	\(H_{\omega^2}(5\,948)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^3+\omega^27+\omega9+4}}(10)\)

Sources

[1] Aarex Tiaokhiao's illion numbers^{[dead link]}

[2] Part 1 (LAN) - Aarex Googology^{[dead link]}

[1]

[2]

@@ Line 1: / Line 1: @@
 The '''duocennovemnonagintillion''' is equal to 10<sup>900</sup> in America or 10<sup>1,794</sup> in France and Germany.
-[[Aarex Tiaokhiao]] gave the name '''tricentillion''', referring to the value of this number.<ref>[https://sites.google.com/site/aarexnumbers/home/flo2i Aarex Tiaokhiao's illion numbers]</ref>
+[[Aarex Tiaokhiao]] calls this number '''tricentillion'''.<ref>[https://sites.google.com/site/aarexnumbers/home/flo2i Aarex Tiaokhiao's illion numbers]{{dead link}}</ref> He also gave the names '''noohol''' and '''900-noogol''', referring to the [[short scale]] value of this number.<ref>[https://sites.google.com/site/aarexgoogology/ahcannl/p1 Part 1 (LAN) - Aarex Googology]{{dead link}}</ref>
-===Approximations===
+==Approximations==
+For short scale:
 {| border="0" cellpadding="1" cellspacing="1" class="article-table"
 |-
@@ Line 36: / Line 38: @@
 |[[Hyper-E notation]]
 |colspan="2" align="center"|E900
+|-
+|[[Bashicu matrix system]]
+|(0)(0)(0)(0)(0)(0)(0)(0)[3278]
+|(0)(0)(0)(0)(0)(0)(0)(0)[3279]
 |-
 |[[Hyperfactorial array notation]]
@@ Line 42: / Line 48: @@
 |-
 |[[Fast-growing hierarchy]]
-|\(f_2(2978)\)
+|\(f_2(2\,978)\)
-|\(f_2(2979)\)
+|\(f_2(2\,979)\)
 |-
 |[[Hardy hierarchy]]
-|\(H_{\omega^2}(2978)\)
+|\(H_{\omega^2}(2\,978)\)
-|\(H_{\omega^2}(2979)\)
+|\(H_{\omega^2}(2\,979)\)
 |-
 |[[Slow-growing hierarchy]]
 |colspan="2" align="center"|\(g_{\omega^{\omega^29}}(10)\)
 |}
+For long scale:
-=== Sources ===
+{| border="0" cellpadding="1" cellspacing="1" class="article-table"
-<references />
+|-
-[[Category:Numbers]]
+! scope="col"|Notation
+! scope="col"|Lower bound
+! scope="col"|Upper bound
+|-
+|[[Scientific notation]]
+|colspan="2" align="center"|\(1\times10^{1\,794}\)
+|-
+|[[Arrow notation]]
+|colspan="2" align="center"|\(10\uparrow1\,794\)
+|-
+|[[Steinhaus-Moser Notation]]
+|639[3]
+|640[3]
+|-
+|[[Copy notation]]
+|9[1794]
+|1[1795]
+|-
+|[[Taro's multivariable Ackermann function]]
+|A(3,5956)
+|A(3,5957)
+|-
+|[[Pound-Star Notation]]
+|#*((613))*24
+|#*((614))*24
+|-
+|[[BEAF]]
+|colspan="2" align="center"|{10,1794}
+|-
+|[[Hyper-E notation]]
+| colspan="2" align="center" |E1,794
+|-
+|[[Bashicu matrix system]]
+|(0)(1)[3]
+|(0)(1)[4]
+|-
+|[[Hyperfactorial array notation]]
+|736!
+|737!
+|-
+|[[Fast-growing hierarchy]]
+|\(f_2(5\,947)\)
+|\(f_2(5\,948)\)
+|-
+|[[Hardy hierarchy]]
+|\(H_{\omega^2}(5\,947)\)
+|\(H_{\omega^2}(5\,948)\)
+|-
+|[[Slow-growing hierarchy]]
+|colspan="2" align="center"|\(g_{\omega^{\omega^3+\omega^27+\omega9+4}}(10)\)
+|}
+== Sources ==
+<references />[[Category:Numbers]]
 [[Category:Class 2]]
 [[Category:Illion]]
 [[Category:Numbers with 101 to 999 digits]]
-[[Category:Numbers with 1000 to 4933 digits]]
+[[Category:Numbers with 1000 to 1000000 digits]]