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− | The '''petafaxul''' is equal to [[ |
+ | 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]]. |
+ | == Etymology == |
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+ | The name of this number is based on [[SI prefix]] "[[peta-]]" and the number "[[faxul]]". |
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{| 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]] |
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− | |\(10^{10^{10^{10^{10^{10^{ |
+ | |\(10^{10^{10^{10^{10^{10^{377}}}}}}\) |
|- |
|- |
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|[[Up-arrow notation]] |
|[[Up-arrow notation]] |
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− | |\(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow |
+ | |\(10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 377\) |
|- |
|- |
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|[[Chained arrow notation]] |
|[[Chained arrow notation]] |
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− | |\(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow |
+ | |\(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 377)))))\) |
|- |
|- |
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|[[BEAF]] |
|[[BEAF]] |
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− | |\(\{10,\{10,\{10,\{10,\{10,\{10, |
+ | |\(\{10,\{10,\{10,\{10,\{10,\{10,377\}\}\}\}\}\}\) |
|- |
|- |
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|[[Fast-growing hierarchy]] |
|[[Fast-growing hierarchy]] |
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− | |\(f_2(f_2(f_2(f_2(f_2(f_2( |
+ | |\(f_2(f_2(f_2(f_2(f_2(f_2(1\,235))))))\) |
|- |
|- |
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|[[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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|} |
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+ | == Conversion == |
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− | |||
+ | ('''PetaFaxul''')\(!\) = [[Exafaxul]] |
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− | === Number Navigator === |
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− | {{numnav|terafaxul|exafaxul}} |
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<references/> |
<references/> |
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− | + | == See also == |
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{{Factorial numbers}} |
{{Factorial numbers}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Numbers by Lawrence Hollom]] |
[[Category:Numbers by Lawrence Hollom]] |
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+ | [[Category:Orders of symmetric groups]] |
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[[Category:Factorial numbers]] |
[[Category:Factorial numbers]] |
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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
Faxul · Giaxul · Hugexul · Enormaxul · Destruxul · Extremexul · Gigantixul · Nucleaxul · BIGG
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