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Hyper-tre-exitillion is equal to H(16163) = H(164096), where H(x) equals 103x+3.[1] The name was coined by SuperJedi224. This number is comparable to E4,933#2 in Hyper-E notation.

Full exponent[]

10^3569194486071695295257277979884021392290334061289530712418024463699784074541451060713465786417836119745346312454517927776693002143926062278823574095024695018242614903098014692566429754858594340537857037128446407541109942394492954354142842903536842415428133015214658368715860565939708476087999657370319071054362446089962342892971138271492871840220625607252095971850803640267202552116811832506942637267342380294866640355711453578892070934031551972618081948935579849534875302976896215855340668403109379845177664047725244025869497614190257704665799696941869342075365023416155617317963969595208828116024100853824217043781450694866983335520201093853785131414223234037375545720785231511312932575231668934656133054214966721824717237184198427026004219352049475227864455687044543017007933691475192002679049204434324959233274752966778092684368814028459312771780425420469082764010325854365983104794213844768791508241896825318514949513765186846079878600144126449424600006182980301043712871573641882439181218632448515316115144102493900011040156217994122105725987161904815054564787721171298837722396795153126423705220796223792929258946633608812052553075816063964264026832753776480909065092582401837340473533094838158140966364718981562285595685300836085357970490426110891308581782778077034462438502892093436060586192507127375665409596165151524569675600540591399752942641874114720502103045592677292359120099094562050554649482586910088233244331794854704030834407642822365431485233937826669935494951550186153199551253942108392109921708018394511516550058870621736127920010834856367834587130156283688283920110655520990331935305986305502880066008883291461813027441073719246062638198840268219020721266611488375150204469977758283892992196495042477985396472186936631227823753696761794539252950480369527622104178785871867244398592954661492233274129095904260883311068681378435157647375688344120447344387044079627905538425725732815614366362254684958465062384420942817646974165957496925043317899362479854430725749389164509896449755426219184442664065309455015251388190635114378727538157749428785341749111095644375887327762809350067954281749848742124611898248542652765673456399963144035921650909733476599977966556468976318005063945936402244171353063766091123710487750889377772603503631570326805767743618464650691353829808120825917223418378253350145381319189275244060659411640658671619407808935935959385302929298817275773980686636738701962630354861894896122146479151553708621546209087519921877363175368706022658922284353520801853256560975740100511101661604746214877604741399313539945291824140328185021819928671219489908313329653258433682410087488574281183103148939498620662951945798359839612762679392731068830322289769592916044637512685320606706953608160881703272831317282774592071344888996578944732720881464220425651015363408935611319777287525998097698641251250087159759022669631820174164120413702064840622136564719729105915831833042440942653711658953303339764619676532003033106722650956402500640557033110981267852442504921768345446003762712160040223372025732801324675879043049548207318449716717277432686760816499202470614701105872498905905659017061120855286351454520220585931479711211301471859537140765329863556571040429764567900012416549147649419598214642724449430182905349306388413203338134177587541712382580268060455059638397206916743091574422804473736587921382578421896660857083302640792776403962784120035784461912403392224018650009897047774934779810923076178858431941560337363107813342251243757023410219788964060251012206608330216416422027890922992215027677410517018179395286518802017806677273093685692985720695272560311473106032241197744981293735138643420511152546175804844274852602250550500988075499075592199771618982127208612144805663037139973278963764005811353314034094979286377868683014048337336600618341262386149290227442626297746446564187788164023133516053684693381119812820442955483086446376363733482937340267300672647512716326079191827085849621915995536259972248043431572018582591601774956443601581088763013594944811499439062605101886453841532554345653023056049533517043183181225660168533244656785791475040233624011322075283273758981687751651469786536885075361678356596898294802866317217579264633279607706591961789813703580835007022417064239082293805617326094139832419473100486096370638768988522578185877675160172837528047301447637892456139433775343339502196492327298035779398367070286730366059192461185846564247074590823765573502617381391566504338968820437337165757119274509137217066230860361055582204961802659665083185849015883165206060884404057106889248272259761585123013214745799428818283211534705161190203792409551711634229749376389042874847647713601811632812561397394900526224052616586938157127083111388016689758084450139788236617333096693441637067100727867108965190159233584638952427735451862015252792983192522956260064227208456236962415805560282440396628331243749511171421947466697684275454641802864887039152109829457381341081872009892200451

Approximations[]

Notation Lower bound Upper bound
Arrow notation \(1000\uparrow(1+16\uparrow16\uparrow3)\)
Down-arrow notation \(407\downarrow\downarrow1891\) \(832\downarrow\downarrow1690\)
Steinhaus-Moser Notation 1545[3][3] 1546[3][3]
Copy notation 3[3[4933]] 4[4[4933]]
Taro's multivariable Ackermann function A(3,A(3,16384)) A(3,A(3,16385))
Pound-Star Notation #*((1))*((27))*28 #*((1))*((28))*28
BEAF {1000,1+{16,{16,3}}}
Hyper-E notation E(3+3E[16]3#2)
Bashicu matrix system (0)(1)[127] (0)(1)[128]
Hyperfactorial array notation (1753!)! (1754!)!
Fast-growing hierarchy \(f_2(f_2(16373))\) \(f_2(f_2(16374))\)
Hardy hierarchy \(H_{\omega^22}(16373)\) \(H_{\omega^22}(16374)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^3}2}}(16)\) \(g_{\omega^{\omega^{\omega^3}3}}(16)\)

Sources[]

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers

"-Illion" numbers by SuperJedi224

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