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| − | A '''milli-millillion'''<ref>[http://mrob.com/pub/math/largenum.html#chuquet Large Numbers by Robert Munafo]</ref> or '''micrillion'''<ref>[http://www.polytope.net/hedrondude/illion.htm Illion Numbers by Jonathan Bowers]</ref> is equal to 10<sup>3,000,003</sup> in the [[short scale]], or 10<sup>6,000,000</sup> in the [[long scale]]. |
+ | A '''milli-millillion'''<ref>[http://mrob.com/pub/math/largenum.html#chuquet Large Numbers by Robert Munafo]</ref> or '''micrillion'''<ref>[http://www.polytope.net/hedrondude/illion.htm Illion Numbers by Jonathan Bowers]</ref> is equal to 10<sup>3,000,003</sup> in the [[short scale]], or 10<sup>6,000,000</sup> in the [[long scale]]. It is 3,000,003 digits long. |
| + | Written out in decimal form milli-millillion (in the short scale) is \(1\underbrace{000\cdots000}_{3000003}\). |
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| ⚫ | |||
| + | |||
| + | In long scale, it is \(1\underbrace{000\cdots000}_{6000000}\). |
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| + | |||
| ⚫ | The word ''milli-millillion'' was coined by Professor Henkle in his system to devise one [[million]] -illions<ref>[https://sites.google.com/site/largenumbers/home/2-4/5 2.4.5 Professor Henkle's One Million illions - Large Numbers]</ref>, and milli-millillion was the largest name in that system. The long scale of this number is equal to the [[fzmillion]]. |
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| + | |||
| + | Micrillion is also known as '''one milliamilliatillion''' according to Landon Curt Noll's [http://www.isthe.com/cgi-bin/chongo/number.cgi The English name of a number]. |
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The name ''micrillion'' was coined by [[Jonathan Bowers]]. It comes from ''micr(o)-'' + ''-illion'', where ''micro-'' is analogous to the [[SI prefix|metric prefixes]] ''deci-'', ''centi-'', and ''milli-''. |
The name ''micrillion'' was coined by [[Jonathan Bowers]]. It comes from ''micr(o)-'' + ''-illion'', where ''micro-'' is analogous to the [[SI prefix|metric prefixes]] ''deci-'', ''centi-'', and ''milli-''. |
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It is pronounced as follows: |
It is pronounced as follows: |
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| − | [[File: |
+ | [[File:Milli-millillion.ogg]] |
| + | |||
==Approximations== |
==Approximations== |
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For short scale: |
For short scale: |
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| − | {| border="0" cellpadding="1" cellspacing="1 |
+ | {| class="article-table" border="0" cellpadding="1" cellspacing="1" |
|- |
|- |
||
| − | ! scope="col"|Notation |
+ | ! scope="col" |Notation |
| − | ! scope="col"|Lower bound |
+ | ! scope="col" |Lower bound |
| − | ! scope="col"|Upper bound |
+ | ! scope="col" |Upper bound |
|- |
|- |
||
|[[Scientific notation]] |
|[[Scientific notation]] |
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| − | |colspan="2" align="center"|\(1\times10^{3\,000\,003}\) |
+ | | colspan="2" align="center" |\(1\times10^{3\,000\,003}\) |
|- |
|- |
||
|[[Arrow notation]] |
|[[Arrow notation]] |
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| − | |colspan="2" align="center"|\(10\uparrow3\,000\,003\) |
+ | | colspan="2" align="center" |\(10\uparrow3\,000\,003\) |
|- |
|- |
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|[[Steinhaus-Moser Notation]] |
|[[Steinhaus-Moser Notation]] |
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|- |
|- |
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|[[Chained arrow notation]] |
|[[Chained arrow notation]] |
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| − | |colspan="2" align="center"|\(10→3\,000\,003\) |
+ | | colspan="2" align="center" |\(10→3\,000\,003\) |
|- |
|- |
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|[[Taro's multivariable Ackermann function]] |
|[[Taro's multivariable Ackermann function]] |
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|- |
|- |
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|[[BEAF]] |
|[[BEAF]] |
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| − | |colspan="2" align="center"|{10,3000003} |
+ | | colspan="2" align="center" |{10,3000003} |
|- |
|- |
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|[[Hyper-E notation]] |
|[[Hyper-E notation]] |
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| − | |colspan="2" align="center"|E3,000,003 |
+ | | colspan="2" align="center" |E3,000,003 |
|- |
|- |
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|[[Bashicu matrix system]] |
|[[Bashicu matrix system]] |
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| − | |(0)(1)[ |
+ | |(0)(1)[4] |
| − | |(0)(1)[ |
+ | |(0)(1)[5] |
|- |
|- |
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|[[Hyperfactorial array notation]] |
|[[Hyperfactorial array notation]] |
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|- |
|- |
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|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
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| − | |colspan="2" align="center"|\(g_{\omega^{\omega^63+3}}(10)\) |
+ | | colspan="2" align="center" |\(g_{\omega^{\omega^63+3}}(10)\) |
|} |
|} |
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For long scale: |
For long scale: |
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| − | {| border="0" cellpadding="1" cellspacing="1 |
+ | {| class="article-table" border="0" cellpadding="1" cellspacing="1" |
|- |
|- |
||
| − | ! scope="col"|Notation |
+ | ! scope="col" |Notation |
| − | ! scope="col"|Lower bound |
+ | ! scope="col" |Lower bound |
| − | ! scope="col"|Upper bound |
+ | ! scope="col" |Upper bound |
|- |
|- |
||
|[[Scientific notation]] |
|[[Scientific notation]] |
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| − | |colspan="2" align="center"|\(1\times10^{6\,000\,000}\) |
+ | | colspan="2" align="center" |\(1\times10^{6\,000\,000}\) |
|- |
|- |
||
|[[Arrow notation]] |
|[[Arrow notation]] |
||
| − | |colspan="2" align="center"|\(10\uparrow6\,000\,000\) |
+ | | colspan="2" align="center" |\(10\uparrow6\,000\,000\) |
|- |
|- |
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|[[Steinhaus-Moser Notation]] |
|[[Steinhaus-Moser Notation]] |
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| − | |colspan="2" align="center"|1000000[3] |
+ | | colspan="2" align="center" |1000000[3] |
|- |
|- |
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|[[Copy notation]] |
|[[Copy notation]] |
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|- |
|- |
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|[[BEAF]] |
|[[BEAF]] |
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| − | |colspan="2" align="center"|{10,6000000} |
+ | | colspan="2" align="center" |{10,6000000} |
|- |
|- |
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|[[Hyper-E notation]] |
|[[Hyper-E notation]] |
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| − | |colspan="2" align="center"|E(6E6) |
+ | | colspan="2" align="center" |E(6E6) |
|- |
|- |
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|[[Bashicu matrix system]] |
|[[Bashicu matrix system]] |
||
| − | |(0)(1)[ |
+ | |(0)(1)[4] |
| − | |(0)(1)[ |
+ | |(0)(1)[5] |
|- |
|- |
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|[[Hyperfactorial array notation]] |
|[[Hyperfactorial array notation]] |
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|- |
|- |
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|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
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| − | |colspan="2" align="center"|\(g_{\omega^{\omega^66}}(10)\) |
+ | | colspan="2" align="center" |\(g_{\omega^{\omega^66}}(10)\) |
|} |
|} |
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[[Category:Powers of 10 with squarefree exponent]] |
[[Category:Powers of 10 with squarefree exponent]] |
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[[Category:Lower class 3]] |
[[Category:Lower class 3]] |
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| + | [[Category:Tier 2 -illion numbers]] |
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Revision as of 05:52, 14 May 2021
A milli-millillion[1] or micrillion[2] is equal to 103,000,003 in the short scale, or 106,000,000 in the long scale. It is 3,000,003 digits long.
Written out in decimal form milli-millillion (in the short scale) is \(1\underbrace{000\cdots000}_{3000003}\).
In long scale, it is \(1\underbrace{000\cdots000}_{6000000}\).
The word milli-millillion was coined by Professor Henkle in his system to devise one million -illions[3], and milli-millillion was the largest name in that system. The long scale of this number is equal to the fzmillion.
Micrillion is also known as one milliamilliatillion according to Landon Curt Noll's The English name of a number.
The name micrillion was coined by Jonathan Bowers. It comes from micr(o)- + -illion, where micro- is analogous to the metric prefixes deci-, centi-, and milli-.
It is pronounced as follows:
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{3\,000\,003}\) | |
| Arrow notation | \(10\uparrow3\,000\,003\) | |
| Steinhaus-Moser Notation | 6[3][3] | 7[3][3] |
| Copy notation | 2[2[7]] | 3[3[7]] |
| Chained arrow notation | \(10→3\,000\,003\) | |
| Taro's multivariable Ackermann function | A(3,A(3,20)) | A(3,A(3,21)) |
| Pound-Star Notation | #*((1660893))*705 | #*((1660894))*705 |
| BEAF | {10,3000003} | |
| Hyper-E notation | E3,000,003 | |
| Bashicu matrix system | (0)(1)[4] | (0)(1)[5] |
| Hyperfactorial array notation | (9!)! | (10!)! |
| Fast-growing hierarchy | \(f_2(f_2(19))\) | \(f_2(f_2(20))\) |
| Hardy hierarchy | \(H_{\omega^22}(19)\) | \(H_{\omega^22}(20)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^63+3}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{6\,000\,000}\) | |
| Arrow notation | \(10\uparrow6\,000\,000\) | |
| Steinhaus-Moser Notation | 1000000[3] | |
| Copy notation | 5[5[7]] | 6[6[7]] |
| Taro's multivariable Ackermann function | A(3,A(3,21)) | A(3,A(3,22)) |
| Pound-Star Notation | #*((12278))*975 | #*((12279))*975 |
| BEAF | {10,6000000} | |
| Hyper-E notation | E(6E6) | |
| Bashicu matrix system | (0)(1)[4] | (0)(1)[5] |
| Hyperfactorial array notation | (9!)! | (10!)! |
| Fast-growing hierarchy | \(f_2(f_2(19))\) | \(f_2(f_2(20))\) |
| Hardy hierarchy | \(H_{\omega^22}(19)\) | \(H_{\omega^22}(20)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^66}}(10)\) | |
Sources
See also
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct
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
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
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
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'