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The '''petafaxul''' is equal to [[Terafaxul]][[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>6</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]].
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The '''petafaxul''' (also called '''faxulquinquenek'''<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 [[terafaxul]][[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>6</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]].
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== Etymology ==
=== Approximations in other notations ===
 
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The name of this number is based on [[SI prefix]] "[[peta-]]" and the number "[[faxul]]".
 
== Approximations in other notations ==
 
{| border="0" cellpadding="1" cellspacing="1" class="article-table" style="width: 500px;"
 
{| border="0" cellpadding="1" cellspacing="1" class="article-table" style="width: 500px;"
 
|-
 
|-
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|-
 
|-
 
|[[Scientific notation]]
 
|[[Scientific notation]]
|\(10^{10^{10^{10^{10^{10^{200}}}}}}\)
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|\(10^{10^{10^{10^{10^{10^{377}}}}}}\)
 
|-
 
|-
 
|[[Up-arrow notation]]
 
|[[Up-arrow notation]]
|\(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 200\)
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|\(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 377\)
 
|-
 
|-
 
|[[Chained arrow notation]]
 
|[[Chained arrow notation]]
|\(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 200)))))\)
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|\(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 377)))))\)
 
|-
 
|-
 
|[[BEAF]]
 
|[[BEAF]]
|\(\{10,\{10,\{10,\{10,\{10,\{10,200\}\}\}\}\}\}\)
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|\(\{10,\{10,\{10,\{10,\{10,\{10,377\}\}\}\}\}\}\)
 
|-
 
|-
 
|[[Fast-growing hierarchy]]
 
|[[Fast-growing hierarchy]]
|\(f_2(f_2(f_2(f_2(f_2(f_2(1235))))))\)
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|\(f_2(f_2(f_2(f_2(f_2(f_2(1\,235))))))\)
 
|-
 
|-
 
|[[Hardy hierarchy]]
 
|[[Hardy hierarchy]]
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|\(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(200)\)
 
|\(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(200)\)
 
|}
 
|}
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== Conversion ==
 
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('''PetaFaxul''')\(!\) = [[Exafaxul]]
=== Number Navigator ===
 
 
== Sources ==
{{numnav|terafaxul|exafaxul}}
 
===Sources===
 
 
<references/>
 
<references/>
=== See also ===
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== See also ==
 
{{Factorial numbers}}
 
{{Factorial numbers}}
 
[[Category:Numbers]]
 
[[Category:Numbers]]
 
[[Category:Numbers by Lawrence Hollom]]
 
[[Category:Numbers by Lawrence Hollom]]
  +
[[Category:Orders of symmetric groups]]
 
[[Category:Tetration level]]
 
[[Category:Factorial numbers]]
 
[[Category:Factorial numbers]]
[[Category:Exponentiation level]]
 

Revision as of 18:18, 6 May 2020

The petafaxul (also called faxulquinquenek[1]) is equal to terafaxul!, ((((faxul!)!)!)!)! or (((((200!)!)!)!)!)![2], or 200!6 using Nested Factorial Notation. The term was coined by Lawrence Hollom.

Etymology

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

Approximations in other notations

Notation Approximation
Scientific notation \(10^{10^{10^{10^{10^{10^{377}}}}}}\)
Up-arrow notation \(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 377\)
Chained arrow notation \(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 377)))))\)
BEAF \(\{10,\{10,\{10,\{10,\{10,\{10,377\}\}\}\}\}\}\)
Fast-growing hierarchy \(f_2(f_2(f_2(f_2(f_2(f_2(1\,235))))))\)
Hardy hierarchy \(H_{(\omega^2) 6}(200)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(200)\)

Conversion

(PetaFaxul)\(!\) = Exafaxul

Sources

See also

Hyperfactorial array notation numbers: Minor Faxul Group | Major (Giaxul)

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