Changes: Lucillion

Latest revision as of 11:05, 30 September 2023

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Lucillion^[1] (formerly lunarrillion^[2]) is equal to \(10^{3\times 10^{3\times 10^{3\times {10^{150}}}} + 3}\) or \(10^{3\times 10^{3\times 10^{3\textrm{ novenquadragintillion}}} + 3}\) using the short scale definition of novenquadragintillion. The term was coined by CompactStar (formerly known as Nirvana Supermind) and is part of his unofficial extension of Bower's -illion system which ended at multillion.

YouTube user BAT4423【Googology Bat】 calls this number handrillion.^[3]

Etymology

The name is derived from the name lunillion and the name glocillion according to the creator.

Approximations

Notation	Expression
Up-arrow notation	\(10 \uparrow (3 \times (10 \uparrow (3 \times (10 \uparrow (3\times 10\uparrow 150))))+3)\) (exact)
Chained arrow notation	\(10 \rightarrow (3 \times (10 \rightarrow (3 \times (10 \uparrow (3\times 10\rightarrow 150))))+3)\) (exact)
H* function	H(H(H(H(49)-1)-1))
BEAF	\(\{10,\{3\times \{10,3 \times \{10,3\times\{10,150\}\}\}+3\}\}\) (exact)
Munafo's ASCII-lexicographic ordering	p3_e060_3
Fast-growing hierarchy	\(f^4_2(493)\)

Sources

↑ Zillion Notation Numbers. Retrieved 2023-04-24.
↑ Extended Tier 4 to 6 illions
↑ -illion Numbers V2 Part.1 (Tier 1 ~ Tier 4) - YouTube (retrieved August 2 2022)

Tier 2: millillion* · myr · micr · nan · pic · femt · att · zept · yoct · ront · quect · mec · duec · trec · tetrec · pentec · hexec · heptec · octec · ennec · icos · meicos · dueicos · trioicos · tetreicos · penteicos · hexeicos · hepteicos · octeicos · enneicos · triacont · tetracont · pentacont · hexacont · heptacont · octacont · ennacont · hect
Tier 3: killillion · killamill · killamicr · killanan · killapic · killafemt · killavec · killaicos · killahect · meg · gig · ter · pet · ex · zett · yott · ronn · quett · hend · dok · tradak · tedak · pedak · exdak · zedak · yodak · nedak · ik · iken · icod · ictr · icter · icpet · ikect · iczet · ikyot · icron · trak · tek · pek · exak · zak · yok · nek · hot · bot · trot · tot · pot · exot · zot · yoot · not
Tier 4: kalillion · dal · tral · tal · pal · exal · zal · yal · nal · dakal · hotal · mej · dakej · hotej · gij · ast · lun · ferm · jov · sol · bet · gloc · gax · sup · vers · mult

Generalized intermediate -illions

Saibian's extensions in Tier 2: centimill · oktakisekatommyr · treicos · metriacont · duetriacont · triotriacont · tetretriacont · dohect · triahect · tetrahect · pentahect · hexahect · heptahect · octahect · ennahect · enneennaconteennahect
Saibian's extensions in Tier 3: micrekill · nanekill · picekill · femtekill · attekill · zeptekill · yoctekill · xonekill · vecekill · mecekill · duecekill · icosekill · triacontekill · tetrecontekill · hectekill · micremeg · nanemeg · picemeg · femtemeg · attemeg · exapet · enneenneconteennahecteyotta...ennahect · traken · tracod · tractr · tracter · tracpet · trakect · traczet · trakyot · tracxen · teken · tecod · tectr · tecter · tecpet · tekect · teczet · tekyot · tecxen · pectr · yoctr · yocter · necter · hoten · hotod · hotr · hoter · hopet · nonek · nonecxen
Saibian's extensions in Tier 4: hendal · dokal · tradakal · tedakal · pedakal · exdakal · zedakal · yodakal · nedakal · ikal · total · dej · pij · dakij · hotij · dakast · hotast · dakun · hotun · dakerm · hoterm · dakov · hotov · dakol · hotol · daket · hotet · dakoc · hotoc · dakax · hotax · dakup · hotup · dakers · hoters · dakult · hotult · nonecxenult · nonexcenult...nonexcen
Trakaplex's extensions in Tier 2: pentetriacont · metetracont · duetetracont · triotetracont · tetretetracont · pentetetracont · hexetetracont · heptetetracont · octetetracont · ennetetracont · mepentacont · duepentacont · triopentacont · tetrepentacont · pentepentacont · hexepentacont · heptepentacont · octepentacont · ennepentacont · mehexacont ·duehexacont · triohexacont · tetrehexacont · dueicosedohect
Trakaplex's extensions in Tier 4: pejoyoct · pastavec · nastihot · tunapot · nunonot · trermitun · termabot · terminal · noterminal · novopast · novameg · trolapet · yolopal · betabot · yetitrol · glocater · taxaperm · pekax · supanov · dupasup · pupanecter · pupatot · pupaferm · exersisup · yersosexik · yersohot · yersonastihot · multapax · multivers · dultamult · zultanal · zultapectrol

Unofficial extensions by CompactStar beyond Bowers' system

Tier 4: met · xev · hyp · omn · out · barr · barral · barrej · barrij · barrast · barrun · barrerm · barrov · barrol · barret · gic · asc · luc · ferc · joc · soc · bec · cet · cekal · meet · git · aset · lut · fert · jot · sot · beet
Tier 5: unvillion · duv · et · cuv · quiv · swiv · pyrv · oiv · en · ek · ev · twyv · eket · ekcuv · ekquiv · ekswiv · ekpryv · ekoiv · eknen · lan · lanunv · landuv · lanet · lancuv · lanquiv · lanswiv · lanpryv · lanoiv · lanen · etk · cuk · quik · swik · pryk · oik · enk · evaf · bex5illion/bexllion/bexillion · etaf · cuvaf · quivaf · swivaf · pryvaf · oivaf · envaf
Tier 6: hapaxillion · dis · tris · tetrakis · pentakis · hexakis · heptakis · octakis · enneakis · decakis · hendecakis · dodecakis · decatriakis · decatetrakis · decapentakis · decahexakis · decaheptakis · decaoctakis · decaenneakis · icosakis · icosihenakis · icosidyakis · icositryakis · icositetrakis · icosipentakis · icosihexakis · icosiheptakis · icosioctakis · icosienneakis · triacontakis · tessaracontakis · pentecontakis · hexecontakis · hebdomecontakis · ogdoecontakis · enenecontakis · hecatontakis · diacosakis · triacosakis · tetracosakis · pentacosakis · hexacosakis · heptacosakis · octacosakis · enneacosakis

Humorous extensions

Aarex Tiaokhiao's extensions in Tier 7: redillion
Trakaplex's humorous extensions: schmitty · inphix · schmigantic (unfinished) (· helpsophiaisflirtingme (nonexistent) · schmittypleasehelpme (nonexistent)
Redstonepillager's extensions: leet
HaydenTheGoogologist2009's extensions in Tier 10: body · head · hair · face · eye · nose · ear · mouth · lip · teeth · tongu · throat · jaw · neck · shoulder · arm · elbow · hand · nail · chest · back · stomach · kne · ankle · heel · to
XRQ CORPORATION's extensions in Tier 3: googolplex
XRQ CORPORATION's extensions in Tier 4: googolduplex
XRQ CORPORATION's extensions in Tier 5: googoltriplex
XRQ CORPORATION's extensions in Tier 6: termin · aquar · servic · spong · comb · nett · expon · adm · hecr · less · obt · playgr · check · whar · anim · grout · oreg · tront · shelf · liqu · jew · glob · ium · xiff · wemct · mibd · homr · ultim · var · squeez · tebilpictr · has · nogd · aur · trakers · icot · unth · queyn · pov · enqu · tsun · nunt · zazt · ninj · banan · karm · guav · pizz · vist · umbrell · lav

*not Bowers'

[1] Zillion Notation Numbers. Retrieved 2023-04-24.

[2] Extended Tier 4 to 6 illions

[3] -illion Numbers V2 Part.1 (Tier 1 ~ Tier 4) - YouTube (retrieved August 2 2022)

[1]

[2]

[3]

@@ Line 1: / Line 1: @@
+{{equation}}
-The '''lunarrillion''' is equal to \(10^{3\times 10^{3\times 10^{3\times {10^{150}}}} + 3}\)<ref>[https://integralview.wordpress.com/2020/10/01/extended-tier-4-to-6-illions/ Extended Tier 4 to 6 illions]</ref> or \(10^{3\times 10^{3\times 10^{3\textrm{ novemquadragintillion}}} + 3}\) using the [[short scale]] definition of [[novemquadragintillion]]. The term was coined by Nirvana Supermind and is part of his unofficial extension of Bower's -illion system which ended at [[multillion]].
+'''Lucillion'''<ref>{{cite web|url=https://nirvanasupermind.github.io/my-googology/zillion-notation-numbers.html|title=Zillion Notation Numbers|accessdate=2023-04-24}}</ref> (formerly ''lunarrillion''<ref>[https://integralview.wordpress.com/2020/10/01/extended-tier-4-to-6-illions/ Extended Tier 4 to 6 illions]</ref>) is equal to \(10^{3\times 10^{3\times 10^{3\times {10^{150}}}} + 3}\) or \(10^{3\times 10^{3\times 10^{3\textrm{ novenquadragintillion}}} + 3}\) using the [[short scale]] definition of [[novenquadragintillion]]. The term was coined by [[User:CompactStar|CompactStar]] (formerly known as Nirvana Supermind) and is part of his unofficial extension of Bower's -illion system which ended at [[multillion]].
+YouTube user BAT4423【Googology Bat】 calls this number '''handrillion'''.<ref>[https://www.youtube.com/watch?v=VUOaHuBcbQ4 -illion Numbers V2 Part.1 (Tier 1 ~ Tier 4) - YouTube] (retrieved August 2 2022)</ref>
 == Etymology ==
-The name is derived from the name [[lunillion]] and the name [[barrillion]].
+The name is derived from the name [[lunillion]] and the name [[glocillion]] according to the creator.
 == Approximations ==
 {| class="article-table" border="0" cellpadding="1" cellspacing="1" style="width: 500px;"
@@ Line 23: / Line 26: @@
 |[[Munafo]]'s [http://mrob.com/pub/math/altnum.html#lexi_munafo ASCII-lexicographic ordering]
 |p3_e060_3
+|-
+|[[Fast-growing hierarchy]]
+|\(f^4_2(493)\)
 |}
@@ Line 30: / Line 36: @@
 * [[Extensible Illion System]]
 {{ExtendedZillions}}
 [[Category:Numbers]]
 [[Category:Class 5]]
 [[Category:Illion]]
-[[Category:Numbers by Nirvana Supermind]]
+[[Category:Numbers and functions by CompactStar]]

Changes: Lucillion

Latest revision as of 11:05, 30 September 2023

Contents

Etymology

Approximations

Sources

See also