This website's bin for everything that doesn't really belong in any of the other pages. This is mostly information about decimal expansions.
Digits of numbers of the form 2^2^10^n
2^2^10^1: 179,769,313,486,231,590,772,930,519,078,902,473,361,797,697,894,230,657,273,430,081,157,732,675,805,500,963,132,708,477,322,407,536,021,120,113,879,871,393,357,658,789,768,814,416,622,492,847,430,639,474,124,377,767,893,424,865,485,276,302,219,601,246,094,119,453,082,952,085,005,768,838,150,682,342,462,881,473,913,110,540,827,237,163,350,510,684,586,298,239,947,245,938,479,716,304,835,356,329,624,224,137,216
2^2^10^2: 2285367694229513703002900466528149551750428001195519405602...61461219559622698885766668612760064080105153266799355055482488460983335387136
2^2^10^3: 30580755041507252620476990323...6379227136
2^2^10^4: 25513230455356342490256080975654705854...17627136
2^2^10^5: 80058218681534169344818384499782706775...01627136
2^2^10^6: 2746920725895354710051707727934...248217295109310091137841627136
2^2^10^7: 1237104893661637273090559537131...105459376218479654376241627136
2^2^10^8: 3340906623246099758221082764927...767025743810655286760241627136
2^2^10^9: 8757440542467225792810260441674...286685069780411610600241627136 (more than 1.3*10301,029,995 digits)
Largest numbers I have directly computed the leading digits of
2^2^2^32: 3159212693372338430041848223251...8478717272631317364736 (more than 9.34*101,292,913,985 digits)
2^2^10^9: 8757440542467225792810260441674...286685069780411610600241627136
2^10^10^8: 754097288897255461887189833223513286662...022607743740081787109376 (3.0102999*1099,999,999 digits)
3^3^2^3^3: 4784568978097791859623620098016204534088372043633848889078862368173533340216961491915951934564407219 ............ 3031483081255919645955820227096333122631318353812561332059648262488886043385826234968521733413273603 (more than 2.9*1064,038,130 digits)
7139511^^3: 4401449855525698493597151369347...50780581881906086299619180213246191111111 (more than 1.7654*1048,931,842 digits)
3^3^100,000,000: 1191486476155990511105305708619239917047961989747825254761954168619392707697253201626446579111126721 ............ 1563443890557066565796936493711760977493885073849228419120303269373099024269646147489974520000000003
11^10^9^8: 2373570079623504840997604286196...0000000000000000000000000000001 (more than 1.041*1043,046,721 digits)
5483721^^3: 7376705702967551333731110782548371063194483180434494041276180181629666875739370788582595111964090900...3246889402441210929502218960487548480985938589322712183663177951454634383287274012840092007584474121 (more than 7.0768976*10^36,955,209 digits) (This is a random number I once thought of as an example of a tetrational number with a large base)
2^2^10^8: 3340906623246099758221082764927...767025743810655286760241627136 (more than 1.109*1030,102,999 digits)
5^4^3^2^2^2: 6743792209728377897472502831996...106619977392256259918212890625 (more than 2.072*1025,916,708 digits)
2^5^2^5^2: 6517012846372754558895532603734...530407839804103263499879186432 (more than 9.1021*1023,453,540 digits)
3^3^3^2^2^2: 1457175316642931......450688027 (approximately 10^20,538,505 digits)
564017^^3: 529009380118005726268700018179139...42297259540538589056055130104777777
8^6^4^3^2: 9232422469605114184153372628063...725742874723281756948902445056
2^32000^32000: 1507299410642524809633430776957...893380022607743740081787109376 (1.89633914*10^144,164 digits)
2^3^4^3^2: 20881306227.........428352
3^10^100,000: 2061165000944531211210766463881...00000000000000000000000000000000000001 (4.77121254719662437*10^99,999 digits)
Digits of numbers of the form n^((n+1)^((n+2)^(n+3)))
2^3^4^5: 39098490222...3472100352
3^4^5^6: 174985901692421583079708823768389861168918785738663108187406359022...7528428740389900286277031923265314680838321255432072915571035319828481
4^5^6^7: 3819332715112066366017245380411...106619977392256259918212890624 (4.4337*10^195,666 digits)
5^6^7^8: 4244819613803062949861284519580...106619977392256259918212890625
6^7^8^9: 2564548755280681735515149672603111370815459747638449794068041080615764487821751782942987949925842824067568623370978006114554406401990302685773704935673855157126778655736709022960679417111674257563207648585488176971733979097718529640088811239274750286602424695946625511690426672161084400559217489963942381882736326228305305674364910958565563774685640636195813154625642802261043155368254948503029383256820470862971753688354943816499033061250971652234843610203925259411269298623695754800557520022635856048371365505374998643164237712016280725977451532043263872485281058187144441220532367668614597729065461271089765486769281277110860864629298878191076425272370223397083569246249436271322275537562949370551718801806123890195176023891270975204657724737153096922086784718664550179990347235243425801967491053833361496360767117726888506512479944141459155301762287625921829835162906646233638724856533445533330194329373809348304411856280171701302005715223069248280014656633389063698445362349388852571096712108928085816297080092437928216469596637398900779433812203459858303529453360871180544856041997034747544289848237320634029918288099945498554541071776373903313048258348639723031359960240010517056204342466160434769971651733660015401055048449520055870108677427300925699785897363687744442749162224279179498971931667698719265375488615037782981387241077403100021381818299705969250175413390079554044664431121694558553498941821812712768213040662129429124768244706544265163188709350802338828247917802007628970448491837957027256155305038648562668564646198713810047037565087438914133681894924462775963654798808288080104368989816087151730047239163404391396844708928708068293463790574456096583583270044592559668193934135665866482547694591225045930907931499738491504058358610617475474501137124606250407259155176249071771664117301749157655721996446295225578051970287336796049433228508469136472586404308046022530673659599755030722226688507584320265583687993005513695865389241155050518392217070987716728163838788928487691566679148625299969771150836216095390381604131728710406622069663555928053283938023083268137535311807537221640054989043663004565697420190084623435591037803443232170786764484077632097465961620161928118635704621460914007584516869087523664396154547295214393619321672524302083402923222466367168517157641901781534857169813723795576532606967020976605462147672336050652036497068359177340145422624356980338765647090080583805128911689752179141153320599777090544890816755564209275138917297880126920042521795756766774126145546317065106778461386165959102644396984756185664043451321314573135204815731539349814625060069534512567118536202316103047626144145164319857241304112841648893891912380165835846689815130827258761050104770842349721177006111032569144217974764960555243435290807279939537094406701255693993041092234756960736609976579303254763220115546770271401892994189999168337361929235929740755415790585496988201456914802156771066643307099384912999990249533740069949627936894314355145918427260945948420662384843466240676524871185080809178461440787173404491854593132903000011190472017958342834364436224254620381562482231001405904382683588052038123584216857220405502254150540824265697839548312640819067437408707811441354359476459941898452242096039570097015934483226955015318016184780179486177231372043437875141246217813972661788605284526247292234440398518275260787818697323040270826494393933345310307567705960383367336690548709477246310132809820704174958219990074073649627257790682481377998915055712559967337068136013871239281925046295102864010259643284530576232456161289501084546979415560753234757763498626094491292843455268134159469569800262529475460912053865647659195606180230165671273621285202431564498500905694409642682625901349008275515709171748544618571792793734754904076803361965830263526916405484185467097809792194774617492880596002244276123386608731289553597693726965403809717097261684439749168962276976901252149087263872682051603690649092608952210345598833850988150415409720780876042638577958089841690563117631123439564127055367771443443235394346715841573054929852072574363432765056860817248171108580944154891287810332301381184795695964152634938726204413125717058145539332828287274961572883782635186760675483031433166080426925192272128466899937771542935326904699252019004245213539252172263335577609739348920 ............ 4496296020610079530637644988398665804967839715684088245737646584425376513676339757192614297613527491082705246883328897241651051757244295743936403859213588385052140652563216439702960898444008281374480843610501816087784181786774836107561363322990655377540940126594413176381963125526288191087998974528658479112360150287490289688290186796644129983368986042348014531740279036467574177689947782418603123299099641064593406550077121113236241237198286340133370714953347797979035886677185365016468674205765647441726338135417250433262512291573680262720105960764177822224725147258791704488393638978774127451258499550795349357099160591238455399366870146616356478494133727054358664012838577670820259493719263226521422120092436532758252616236779334114766638671050415684041955630821425619073909341544618250738584502477719371517753444699229436659566729503151346231143114073276205488488030072050043280071469290173076604939205596358047667809279406320177430681052343602709328562211366358486301235737556769518740640933583588813078998351169884104129091662450481830060110532798551930468076517772947590581758435260591341552738420567431400606891560012195061953473520387520221100977266442465434143707013498579096978394408484573706659910153025491528259926146968835245637731220693183588864540758520183629068620747226820020347677483397781092096708328074800644477329322950951495097168189057272734531392903411969525278730303104673235741094862754953268724962646996098293266504445095919527134124022665629427131756864986144054666243544450015578025456750229733983036890719799573581777680213781772461138843472312920382078638430706316696456932623215082849841460870234166511337404320461560178930939597757539288179179812926344756820522825767702839656057738401903666461360744760099857395521039371363852737947115205497862098111238453386408564861658376185872071874771399204772553099468348206927634012689733255452687023455474303950279689689685811025246760072739994903714853665999155619170028350640206430240779880026611193343609107163957145808012557022649179754417107477143036396371273568725172515240554738488654602725456423352006716041001026010032038335659656526247718190577130665626939908725973277614697802400038461544450330197457079954747593117233053770247871426946414272674269925104009663599694173940619056134287363048154339113011016139245553981008925313573767171244476667737850021204840841541788533515534331282657735043450905418984333868506175424387119046429864528239894584637247668621112172954853984283117573772740475882949413977111775873926294800996324935943560821273258475730640607537734997904345353600398050161306323198371497803659420738189713673770534628080128238300759783515166319437632007692799838004085850026828218225584782434001406859076585309372007297513233238215403920394724966728788462249931368650587291180092416154013016325927709294441967033399930514622499668133148371155605104502534001068552813790465249412034598400102111002006031278621728393358097221541294898509270449576251989719273421383429482796386803525004717755705229188906966186725044498731130394990534105778709333084504886276592671969590741056130218985410471895015010546150226640278614764378985905003710997514315850233572819701888116341960522808005522181351585023921405214622369764799343148307905699192646374012905434811020391429119417035141471085007463428658174978729523396130191261597566220521467467097985826301624841957599629220056915487680947038223071699913378212280652259194821199296535660803594436466352410004534583568795505849432628591766263092898096138351625216638901881737718859375307462329799943789082700828037914850524083550397071329645189640297420052856613123255226177207481094121378653488597964852127656967643788059786606456785689405134207415142933178870769863919825841620314075180338835477467038441417529464357747598221948425212234254205178198023073460236519578098480581347110917471847011255119847809953766022664065472473743969889770838904382820469571399869965812288569465750313932892734103737839230619550584645062708047672351521768448978302567939437653611331875643618707825563306042836321458335699085672276362117140464705213129617176053439153812730683056252898523178540640256838804282627501779298073353144132780934353935463812741550765247584593414336296446086506173694242682869170758513509897220479637933343287923107839908543927530543557060754204000256 (approximately 5.74*10^113,427,138 digits)