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Planans is equal to [1,2] = [482] = [2304] = 482,304 = 48482 \(\approx 3.800\times 10^{3,873}\) using PlantStar's notation.[1] The term was coined by PlantStar. It is 3,874 digits long.

Decimal expansion

3800239024132943594260697704785016215667576291961416128357140976874353507495500332815132632971525119679626589438777541207145760454813589214629782415509627044737251984388007287579251170507924315601279836840107684202007161397152439944430233442550948742060435622014051504280043178414715437746840935376364324070291646227166623371525146260041341469986010365094787320550784723630128831994586652817430264961863679376100356708489372369387043207868982898786340277982436663129172943915532573886994843841828448779456280192350055417671956916436223509330368954655147892745738508172634114811773020819545479166216656083918810774082634363253467879630711314910375438755663433327048096897551075544307478173204493940702117071680717378261755219918799997431383469871171782834316769702351748458787278004847737088587429401081998314001036305413824917010883315228406109721851107052331662202148623497332854369142480795032518566144286778154771291360826529268680052273786299326923767685945653976737672674572768831051240314147586703009086225615470545355131998924714924082049868147950222947998776780415788903310784126586564407201712681819611789911763636640540964701959007688329376929703467138605974627950727664331582989510106962643967290754453017219214564962357110144199017701631273243688526131787928797581777338791522262947216408126416785194432552302280254068372635620270299386751969424797120418361333434704726477297603516341714319506447137801658906882705240174718763490123727022687574802576593637277986472190490606431624176152169467243576330119672603777610128690473825255182815572338153179452946015832342504905692034179040900084138574488484675550914097244801135532820904237568588848599265117703988618848407598128995852361296587138826559197096374093391870871749538479321977363492532384045698143925940518586001800742060749241862569438896718251680057863850891887302937349376904696754610760804133851226054348398083672492550515288164348725995145828603721358027666304660868113658326131644436376579866387880973474231460145314405263608248527333258613685502602284016379782041655158607150284240163558623667324748983781031489754310229131000516463084225261654718415365217583666410352904478518005207712770180558054601534856116988438548519775760823936534275272379055558337284029635390476787962399357296882449011624128000098112121605857352130880163145339061401379154864709334315554067624234759335947631152700728295455717082935784634810494752702221611677628007922595963747438256998105230213761446690142635226649832759317197599058271626504143195841000063486961515202609249754570844872160962246246649114358631064837018513629733069517452474286290182950612568150918090643009493025674597981874053986639248372787173660960179621194227000823731869593179924084033841904548780143241889046923636166064252090674737236042663727633267292737383089408216212972600002408124086599859159882239177852118516294301688785553865142202947610838575649037606850495372074608455329354003287873363898088096202359709386239655176075367094686711617985063558819566584647717733539573032629034557668692726278923216383875910040527027292482422592593512647464119995654718776191081796489621712436654197765833897862670694904494900131848972078258684366949498075535858369980275388222043144378098623938562069672091079789187148327430952863019045606322950058311092109709902643663417440039345929240734853393046190824044808361317615351530938319584993071174947796138616802718722784768415417605740387001145529770421136388236078829998589927972020816413199739899266101889908925900327960620605610254089427872954436397433578273144807580849413092709744970995250041100738118535122133575320966929890002628235613076941499090347387097140140726935490149063249428414932481022749059533568807414782717029307062261507359739507945287599958846585951935123957876586355241780744896903987869684484277021766557941197450940356582276004239746192842651401880121211280229533575024999625916416

Approximations

Notation Lower bound Upper bound
Scientific notation \(3.800\times10^{3,873}\) \(3.801\times10^{3,873}\)
Arrow notation \(48↑2\,304\) = \(48\uparrow48\uparrow2\)
Steinhaus-Moser Notation 1250[3] 1251[3]
Copy notation 3[3874] 4[3874]
Chained arrow notation \(48\rightarrow2\,304\) = \(48\rightarrow(48\rightarrow2)\)
Taro's multivariable Ackermann function A(3,12865) A(3,12866)
BEAF {48,{48,2}}
Hyper-E notation E[48]2#2
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 1 423! 1 424!
Fast-growing hierarchy \(f_2(12\,854)\) \(f_2(12\,855)\)
Hardy hierarchy \(H_{\omega^2}(12\,854)\) \(H_{\omega^2}(12\,855)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{2}}}(48)\)

Sources

See also

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