The googolmox, aka googolmiji, is coined using the googo- prefix and the irregular Roman LM for 950 and the Mayan ox for 3, rather than -iji, and is equal to \(1,906^{953}\) in Ackermann's Generalized Exponential Notation.[1]
Joyce has made a mistake when he first coined this number. He gave this number the value of the similar number googomox (whose name doesn't include the letter L), and its value is \(2,006^{1,003}\). Googolmox has 3,126 digits, while googomox has 3,313, and so is about \(10^{186}\) times larger, because of the missing L.
The exact difference between googomox and googolmox is called googomoxmingoogolmox. It is coined with the infix -min- for "minus". Googomox and googomoxmingoogolmox are identical for those first 186 digits, demonstrating just how important that L is!
Decimal representations
Below are the decimal representations of googolmox, googomox and googomoxmingoogolmox.
Googolmox's decimal representation is:
905983266003709169810912939977589842060711910171235170510381437764061022934547934982685222585900007819620985953938369717520829008116269480528397762293651488103576652536661450416511653144782235825216323058982068854285112618024177668526885809919245202079638980919270987147282392399835191100920686180639774562117533658982474979894702664323453081632731914345767269553871516861055246104706129446094516824570056034843727295907201188226986621657662345710680595737168052791442414415279617310582343678534601731384740605166728153232676535480970769884600498866465563423949122900541050135171482482526321552176961927499585586647478350230578706709673572304576279690992689661209212109457896524187275324381196788265155088385227763981329778028728823631328534542064058169826594323568290188984567466351828175437988245377750161617427377219278509105756893365777780142015741608727898630840471029170041592802236122785367165061048357476345522418995358107439705240819740815691162254315937161158094414636337207469286994069528986104742209865904261708035536540976981158188546723117561070896186992183172615230608485761605544834153781093716775291322774059719201052415079403164878547937607326597600982150625473390509671287177724679616484613221100799528953239933598887747810021017580273380037291790411538973753912071270973147906740587778789952676554562823036681605592615262309542625569472171106487578000912079333699553479026312147125750188078848707956791207595631512887439499161430933309499200092967902084117446951064214921549649615708189784135385469713187971129194876095890222621905585368971626904969871149609669178871396369397498003873703494161309667237867514740270112212034188788223733214106401929102955909897810688001635652430311527543579348968690045591950724627050738689565876028281679703467750386385607725757879597213519831502473495408933878081389209214232974880093924646898536148040262457618054413961407703998066345373618211790159076018507333300856336105083380405057215161835101834636179880040247754714001782203614222484350347225959412522064573825543798600888692202065457708182846766985173256033184417564873779711870846866985282624646494396511772442707191110756652907139037416066760565072619878699334586962601409442477360755796884604812310145865447208963531429742638387229814019421644432336704400959053845029916811925302099815001102271438609517278306356926207139061100449627405639832179586548103685080382845652084184485794892600101990690995949493303518543681366799589384604356487135228274439736137210004303348430992953443213109704878267175400340193974038685789855255579099964385105776227149724424308756270187774382345734642723353389373915802370978243618457833244974642618063747755356051542774331580295489136477517384290268018830584332524294584302856924937011555838515029108957227055350820997077446048631455983603001881843757748589585472311365663530727380303480962487417698932250233948285765588284425380119132553806829709250972285586196386601245940167633499458074929385028409426620008318057309165528585294718829381993169562484289922042226754130737082571182118819023472907225856563395867499913892813351194211576978120807848609793184167001148578034876416
Googomox's decimal representation is:
1729503600428578984787095519351933435993887809764195158253003860563670714103189423821927826438015013597928598180476838808482002282685694093072312272422611419589123647771032540594014263491756369489672032127873824051175536572245393098239781984936336975406322540241711591351286726302344633521088748237169186032447928774741068414161551461725836667008617755122858384705192996822761115664905173864184242837760628798283305634669152172305578749804795225595375620781185049181136131670653524087929943391697115458453352429940901239189685153031331614134537911704750234403798324663901700211349680603846754887001634544980686945965783473769904272810377755342458303412039591878110964601507593266636775951122047166690783249235320091165849383664851572854415526782539829899442709004438020764601013655327431997474797944843761427041569970837554835130462026889077457244126472463295634382459003884194280938746640671801180730786531087739264228224957816612014540387083078774771848679046336597613523731851090690398586886652023592419903057640308699454573912386164209970933462000833206302311971344175066761041376258706421032444033237098880870324856106396006239168275578349302569479253019821697802003694554238103508386958385823143168026303469328269355639669695094441041873265754407065648427880568016452552058680020790137813958369949959496254174216773892348980525210216450404300830258079425788255715012281234638104786760367354233651763033171749052314042756459035102570076769995242396443678104691660077051766640815490866515223520328485085568324782585926115979242961052557013405409284238093522762529707801296033776008658143549138739830274437784603532994113674637342300224485283454693420477229962458623877452828908627630963734448335716153450372034486519038474894503161321413945577089298078879194761287746986863593847910895380623221372516831894261091779844240682862532436380944994761424387524589163649274471685041941311541196567938428874965380340181964399022293545959632020574762895763729819843418535448683164879922864572550617557347595295041295525762659789395833356679557396691144376144491571583671789184423711244270764527329427958218867610434775205934111254937957647309553896389412217533427773990785438178507527014600743933008027611115877246166086742578573217601133134638009208057833130701726930936385510390955185600002790102269512262995864183944392045851460002206869194891220911997225974361628764488566514478180446920410612765690081879475411894790848334796123963436828732315657193829456913264841181229214774839027218435227857249015568142398890587318216554147075567428091681402426203121159437809031779866557781265624394306780471652591654872141235802748198263319918366783974393553523892214923001668785115928117055357156845603988241369128529001344152579869202557324303883510113423089505998520583258898576101259564974529114024631901425246776264669450628187101342674744432103624212788124531047553244263728824539211802957109832752060778607915345415475654614782188308465338700704562083629382425627737490528390163820343746658720308679579819815520207895341951184299221655948843379309013330780530442545258176255383047254439903416387212655108744450520714749777431647219174844876148308222648970332265640004368060973393295262969251015776449704347722191721889893947730947785068246767424041789711053411299312545328484984605865208252105509088932252241379721216
Googomoxmingoogolmox's decimal representation is:
1729503600428578984787095519351933435993887809764195158253003860563670714103189423821927826438015013597928598180476838808482002282685694093072312272422611419589123647771032540594014263490850386223668322958062911111197946730184681188068546814425955537642261517307163656368601503716444625701467762283230816314927099766624798933633153699432185178905041102586196934288681343677978879839688850805202173983475516180259127966142266362386333547725156244676104633633902656781300940569732837907290168829579581799470877450046198574866232071398599699788770642150878717542743078559195570765255163779276698852157907249073485757738796852112241927099697159605290250620597177462831347290925249588102174219737306561524055096002643555684878613780251073987949963358590706998901658869266538282074692103150470069975212358196283076810991264127881262825885747198084767582917260353837737858271728559813084150481485583415952966805201309710535404593629282069950482217256484451203558490061769131261695556413102445020836725034596215200624548534551806088796132244148468362205563369992735273141929751372830638256009093645372674967687714679885512217416401155186498352584416094986632318094925407061464796225267244033979400853643613277263764595433791728378658511506547717924312194858220073465255265337407966790453135186636356720241594658636722194455015721477269577360331668512796974232657097275162782324502609947460380107143882741012550963504218509118715155008649014084989803389957950606032139130937748005780793492908750278736433567651930522745288100980333500716933418426987541234302796660092610683196008247817007463861532393361059891122317646577007901481226235138180869291175784254600452575145845011672813237907358978015255544664200330683737184063357324162379004280539415828576605462393109008045151618568115467224450412891506919727211207164656393577039574128470828343648157211780655022458421633253751463783683406288881229669024359079906275334748231239771971554856393755992293083192295979433457810809690803567666403033070077122148413717213652086311529684909301908709781021248650881918526437157622264085186357365870652552737170351939711534309578439100850730849880742485474452061753232337493180019276783655974893304530250396707048615089051303420622288141689881015535675426455162441072659874668542513371511730679084338733017507477623017866484091741237200935094807095067831778824460346924606095662294177525965105035703086164613728160877771733609964685827316905053485576207014712894012761492752512305787336199297962913725118620226754977576958625120584230392009415085975117800686041570246616573055752728648934214473596779829501706678480961595705378837717259066831463730533762427487258325249452478785791664481767497124101913943735899109974193728188807370113894079347301745203919125007646862356274096274502628388326877219239886390671242527509444405286425832170353856368032126368355868856736581756715972948774592347021827512689091002167728254313331042558550717603226349793436229743477506732808385348181688859072406560818461902900971719094107508449856677167961647703336734238249911129075065045014942158119878057122829240424730652444101626458722143204580547116277973572289789816466721688214330913023100111419073342144011302093406766725854407477593591454639318711828911924312161020910860645922211139518485961351116908006485057359642312324921931103663344844800
Sources
See also
Numbers by André Joyce
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive