Changes: Exafaxul

Revision as of 21:32, 5 February 2021

Exafaxul (also called faxulsexaenek^[1]) is equal to petafaxul !, (((((faxul!)!)!)!)!)! or ((((((200!)!)!)!)!)!)!^[2], or 200!⁷ using Nested Factorial Notation. The term was coined by Lawrence Hollom.

Etymology

The name of this number is based on SI prefix "exa-" and the number "faxul".

Approximations in other notations

Notation	Approximation
Scientific notation	\(10^{10^{10^{10^{10^{10^{10^{377}}}}}}}\)
Up-arrow notation	\(170\uparrow\uparrow8\)
Chained arrow notation	\(170\rightarrow8\rightarrow2\)
BEAF	\(\{170,8,2\}\)
Hyper-E notation	\(\textrm E377\#7\)
Fast-growing hierarchy	\(f_{2}^{7}(1\,235)\)
Hardy hierarchy	\(H_{\omega^2\times 7}(1\,235)\)
Slow-growing hierarchy	\(g_{\omega\uparrow\uparrow8}(170)\)

Sources

Faxul group: Faxul · Kilofaxul · Megafaxul · Gigafaxul · Terafaxul · Petafaxul · Exafaxul · Grand Faxul · Grand Kilofaxul · Grand Megafaxul · Grand Gigafaxul · Grand Terafaxul · Grand Petafaxul · Grand Exafaxul · Bigrand Faxul · Bigrand Kilofaxul · Bigrand Megafaxul · Trigrand Faxul · Trigrand Kilofaxul · Quadgrand Faxul · Quintgrand Faxul
Expofaxul group: Expofaxul · Kiloexpofaxul · Megaexpofaxul · Gigaexpofaxul · Teraexpofaxul · Petaexpofaxul · Exaexpofaxul · Grand expofaxul · Grand kiloexpofaxul · Grand megaexpofaxul · Grand gigaexpofaxul · Grand teraexpofaxul · Grand petaexpofaxul · Grand exaexpofaxul · Bigrand expofaxul · Bigrand kiloexpofaxul · Bigrand megaexpofaxul · Trigrand expofaxul · Trigrand kiloexpofaxul · Quadgrand expofaxul · Quintgrand expofaxul
Tetrofaxul group: Tetrofaxul · Kilotetrofaxul · Megatetrofaxul · Gigatetrofaxul · Teratetrofaxul · Petatetrofaxul · Exatetrofaxul · Grand tetrofaxul · Grand kilotetrofaxul · Grand megatetrofaxul · Grand gigatetrofaxul · Grand teratetrofaxul · Grand petatetrofaxul · Grand exatetrofaxul · Bigrand tetrofaxul · Bigrand kilotetrofaxul · Bigrand megatetrofaxul · Trigrand tetrofaxul · Trigrand kilotetrofaxul · Quadgrand tetrofaxul · Quintgrand tetrofaxul
Pentofaxul group: Pentofaxul · Kilopentofaxul · Megapentofaxul · Gigapentofaxul · Grand pentofaxul · Grand kilopentofaxul · Grand megapentofaxul · Grand gigapentofaxul · Bigrand pentofaxul · Trigrand pentofaxul
Hexofaxul group: Hexofaxul · Kilohexofaxul · Megahexofaxul · Gigahexofaxul · Grand hexofaxul · Grand kilohexofaxul · Grand megahexofaxul · Grand gigahexofaxul · Bigrand hexofaxul · Trigrand hexofaxul
Heptofaxul group: Heptofaxul · Octofaxul
Hyperfaxul group: Hyperfaxul · Kilohyperfaxul · Megahyperfaxul · Gigahyperfaxul · Terahyperfaxul · Petahyperfaxul · Exahyperfaxul · Grand hyperfaxul · Grand kilohyperfaxul · Grand megahyperfaxul · Grand gigahyperfaxul · Grand terahyperfaxul · Grand petahyperfaxul · Grand exahyperfaxul · Bigrand hyperfaxul · Bigrand kilohyperfaxul · Bigrand megahyperfaxul · Trigrand hyperfaxul · Trigrand kilohyperfaxul · Trigrand megahyperfaxul · Quadgrand hyperfaxul · Quintgrand hyperfaxul
Redstonepillager's extensions: Kiloheptofaxul · Megaheptofaxul · Ennofaxul · Decofaxul · Undecofaxul · Dodecofaxul · Tredecofaxul · Dopperfaxul · Kilodopperfaxul · Megadopperfaxul · Tropperfaxul · Quadroppperfaxul · Quintopperfaxul · Sextopperfaxul · Septopperfaxul · Oxtopperfaxul · Novtopperfaxul · Dextopperfaxul · Googaxul

[1] Factorial Array Notation - Extremely big numbers

[2] Lawrence Hollom's large numbers site

[1]

[2]

@@ Line 1: / Line 1: @@
-The '''Exafaxul''' is equal to [[Petafaxul]][[factorial|!]], ((((([[faxul]]!)!)!)!)!)! or ((((((200!)!)!)!)!)!)!<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/home/hyperfactorial-numbers Lawrence Hollom's large numbers site]</ref>, or 200!<sup>7</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]].
+'''Exafaxul''' (also called '''faxulsexaenek'''<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/home/factorial-array-notation Factorial Array Notation - Extremely big numbers]</ref>) is equal to [[petafaxul]][[factorial|!]], ((((([[faxul]]!)!)!)!)!)! or ((((((200!)!)!)!)!)!)!<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-numbers/number Lawrence Hollom's large numbers site]</ref>, or 200!<sup>7</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]].
-=== Etymology ===
+== Etymology ==
 The name of this number is based on [[SI prefix]] "[[exa-]]" and the number "[[faxul]]".
-=== Approximations in other notations ===
+== Approximations in other notations ==
 {| border="0" cellpadding="1" cellspacing="1" class="article-table" style="width: 500px;"
 |-
@@ Line 9: / Line 9: @@
 |-
 |[[Scientific notation]]
-|\(10^{10^{10^{10^{10^{10^{10^{379}}}}}}}\)
+|\(10^{10^{10^{10^{10^{10^{10^{377}}}}}}}\)
 |-
 |[[Up-arrow notation]]
+|\(170\uparrow\uparrow8\)
-|\(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 379\)
 |-
 |[[Chained arrow notation]]
+|\(170\rightarrow8\rightarrow2\)
-|\(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 379))))))\)
 |-
 |[[BEAF]]
+|\(\{170,8,2\}\)
-|\(\{10,\{10,\{10,\{10,\{10,\{10,\{10,379\}\}\}\}\}\}\}\)
+|-
+|[[Hyper-E notation]]
+|\(\textrm E377\#7\)
 |-
 |[[Fast-growing hierarchy]]
+|\(f_{2}^{7}(1\,235)\)
-|\(f_2(f_2(f_2(f_2(f_2(f_2(f_2(1235)))))))\)
 |-
 |[[Hardy hierarchy]]
-|\(H_{(\omega^2) 7}(200)\)
+|\(H_{\omega^2\times 7}(1\,235)\)
 |-
 |[[Slow-growing hierarchy]]
-|\(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}(200)\)
+|\(g_{\omega\uparrow\uparrow8}(170)\)
 |}
+== Sources ==
-=== Number Navigator ===
-{{numnav|Petafaxul|Grand Faxul}}
-===Sources===
 <references/>
-=== See also ===
+== See also ==
 {{Factorial numbers}}
 [[Category:Numbers]]
 [[Category:Numbers by Lawrence Hollom]]
+[[Category:Orders of symmetric groups]]
+[[Category:Tetration level]]
 [[Category:Factorial numbers]]
-[[Category:Exponentiation level]]