34681328342820454400

Names of 34681328342820454400

• Cardinal: 34681328342820454400 can be written as Thirty-four quintillion, six hundred eighty-one quadrillion, three hundred twenty-eight trillion, three hundred forty-two billion, eight hundred twenty million, four hundred fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 3.46813283428204544 × 10¹⁹

Factors of 34681328342820454400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 17386

Divisors of 34681328342820454400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 79 80 100 112 128 140 158 160 175 200 224 256 280 316 320 350 395 400 448 512 553 560 632 640 700 790 800 896 1024 1106 1120 1264 1280 1400 1580 1600 1792 1975 2048 2212 2240 2528 2560 2765 2800 3160 3200 3584 3950 4096 4424 4480 5056 5120 5530 5600 6320 6400 7168 7900 8192 8848 8960 10112 10240 11060 11200 12640 12800 13825 14336 15800 16384 17293 17696 17920 20224 20480 22120 22400 25280 25600 27650 28672 31600 32768 34586 35392 35840 40448 40960 44240 44800 50560 51200 55300 57344 63200 65536 69172 70784 71680 80896 81920 86465 88480 89600 101120 102400 110600 114688 121051 126400 131072 138344 141568 143360 161792 163840 172930 176960 179200 202240 204800 221200 229376 242102 252800 262144 276688 283136 286720 323584 327680 345860 353920 358400 404480 409600 432325 442400 458752 484204 505600 524288 553376 566272 573440 605255 647168 655360 691720 707840 716800 808960 819200 864650 884800 917504 968408 1011200 1048576 1106752 1132544 1146880 1210510 1294336 1310720 1366147 1383440 1415680 1433600 1617920 1638400 1729300 1769600 1835008 1936816 2022400 2097152 2213504 2265088 2293760 2421020 2588672 2621440 2732294 2766880 2831360 2867200 3026275 3235840 3276800 3458600 3539200 3670016 3873632 4044800 4194304 4427008 4530176 4587520 4842040 5177344 5242880 5464588 5533760 5662720 5734400 6052550 6471680 6553600 6830735 6917200 7078400 7340032 7747264 8089600 8388608 8854016 9060352 9175040 9563029 9684080 10354688 10485760 10929176 11067520 11325440 11468800 12105100 12943360 13107200 13661470 13834400 14156800 14680064 15494528 16179200 17708032 18120704 18350080 19126058 19368160 20709376 20971520 21858352 22135040 22650880 22937600 24210200 25886720 26214400 27322940 27668800 28313600 29360128 30989056 32358400 34153675 35416064 36241408 36700160 38252116 38736320 41418752 41943040 43716704 44270080 45301760 45875200 47815145 48420400 51773440 52428800 54645880 55337600 56627200 58720256 61978112 64716800 68307350 70832128 72482816 73400320 76504232 77472640 82837504 87433408 88540160 90603520 91750400 95630290 96840800 103546880 104857600 109291760 110675200 113254400 123956224 129433600 136614700 141664256 144965632 146800640 153008464 154945280 165675008 174866816 177080320 181207040 183500800 191260580 193681600 207093760 209715200 218583520 221350400 226508800 239075725 247912448 258867200 273229400 283328512 289931264 293601280 299047849 306016928 309890560 331350016 349733632 354160640 362414080 367001600 382521160 387363200 414187520 437167040 442700800 453017600 478151450 495824896 517734400 546458800 566657024 579862528 598095698 612033856 619781120 662700032 699467264 708321280 724828160 734003200 765042320 774726400 828375040 874334080 885401600 906035200 956302900 991649792 1035468800 1092917600 1133314048 1159725056 1196191396 1224067712 1239562240 1398934528 1416642560 1449656320 1468006400 1495239245 1530084640 1549452800 1656750080 1748668160 1770803200 1812070400 1912605800 1983299584 2070937600 2093334943 2185835200 2266628096 2319450112 2392382792 2448135424 2479124480 2797869056 2833285120 2899312640 2990478490 3060169280 3098905600 3313500160 3497336320 3541606400 3624140800 3825211600 3966599168 4141875200 4186669886 4371670400 4533256192 4638900224 4784765584 4896270848 4958248960 5595738112 5666570240 5798625280 5980956980 6120338560 6197811200 6994672640 7083212800 7248281600 7476196225 7650423200 7933198336 8283750400 8373339772 8743340800 9066512384 9569531168 9792541696 9916497920 10466674715 11191476224 11333140480 11597250560 11961913960 12240677120 12395622400 13989345280 14166425600 14496563200 14952392450 15300846400 15866396672 16567500800 16746679544 17486681600 18133024768 19139062336 19585083392 19832995840 20933349430 22382952448 22666280960 23194501120 23624780071 23923827920 24481354240 24791244800 27978690560 28332851200 28993126400 29904784900 30601692800 31732793344 33493359088 34973363200 36266049536 38278124672 39170166784 39665991680 41866698860 44765904896 45332561920 47249560142 47847655840 48962708480 49582489600 52333373575 55957381120 56665702400 57986252800 59809569800 61203385600 63465586688 66986718176 69946726400 72532099072 76556249344 78340333568 79331983360 83733397720 89531809792 90665123840 94499120284 95695311680 97925416960 99164979200 104666747150 111914762240 113331404800 115972505600 118123900355 119619139600 122406771200 126931173376 133973436352 139893452800 145064198144 153112498688 156680667136 158663966720 165373460497 167466795440 179063619584 181330247680 188998240568 191390623360 195850833920 198329958400 209333494300 223829524480 226662809600 236247800710 239238279200 244813542400 253862346752 267946872704 279786905600 306224997376 313361334272 317327933440 330746920994 334933590880 358127239168 362660495360 377996481136 382781246720 391701667840 396659916800 418666988600 447659048960 453325619200 472495601420 478476558400 489627084800 507724693504 535893745408 559573811200 590619501775 612449994752 626722668544 634655866880 661493841988 669867181760 716254478336 725320990720 755992962272 765562493440 783403335680 793319833600 826867302485 837333977200 895318097920 906651238400 944991202840 956953116800 979254169600 1015449387008 1071787490816 1119147622400 1181239003550 1224899989504 1253445337088 1269311733760 1322987683976 1339734363520 1432508956672 1511985924544 1531124986880 1566806671360 1586639667200 1653734604970 1674667954400 1790636195840 1813302476800 1889982405680 1913906233600 1958508339200 2143574981632 2238295244800 2362478007100 2449799979008 2506890674176 2538623467520 2645975367952 2679468727040 2865017913344 3023971849088 3062249973760 3133613342720 3173279334400 3307469209940 3349335908800 3581272391680 3626604953600 3779964811360 3827812467200 3917016678400 4134336512425 4287149963264 4476590489600 4724956014200 4899599958016 5013781348352 5077246935040 5291950735904 5358937454080 5730035826688 6047943698176 6124499947520 6267226685440 6346558668800 6614938419880 6698671817600 7162544783360 7559929622720 7655624934400 7834033356800 8268673024850 8574299926528 8953180979200 9449912028400 9799199916032 10027562696704 10583901471808 10717874908160 11460071653376 12095887396352 12248999895040 12534453370880 12693117337600 13229876839760 13397343635200 14325089566720 15119859245440 15311249868800 15668066713600 16537346049700 17148599853056 17906361958400 18899824056800 19598399832064 20055125393408 21167802943616 21435749816320 24191774792704 24497999790080 25068906741760 25386234675200 26459753679520 26794687270400 28650179133440 30239718490880 30622499737600 31336133427200 33074692099400 34297199706112 35812723916800 37799648113600 39196799664128 40110250786816 42335605887232 42871499632640 48383549585408 48995999580160 50137813483520 52919507359040 53589374540800 57300358266880 60479436981760 61244999475200 62672266854400 66149384198800 68594399412224 71625447833600 75599296227200 78393599328256 80220501573632 84671211774464 85742999265280 96767099170816 97991999160320 100275626967040 105839014718080 107178749081600 120958873963520 122489998950400 125344533708800 132298768397600 137188798824448 143250895667200 151198592454400 156787198656512 169342423548928 171485998530560 193534198341632 195983998320640 200551253934080 211678029436160 214357498163200 241917747927040 244979997900800 250689067417600 264597536795200 274377597648896 286501791334400 302397184908800 313574397313024 338684847097856 342971997061120 387068396683264 391967996641280 401102507868160 423356058872320 428714996326400 483835495854080 489959995801600 501378134835200 529195073590400 548755195297792 604794369817600 627148794626048 677369694195712 685943994122240 774136793366528 783935993282560 846712117744640 857429992652800 967670991708160 979919991603200 1002756269670400 1058390147180800 1097510390595584 1209588739635200 1254297589252096 1354739388391424 1371887988244480 1548273586733056 1567871986565120 1693424235489280 1714859985305600 1935341983416320 1959839983206400 2005512539340800 2116780294361600 2195020781191168 2419177479270400 2508595178504192 2709478776782848 2743775976488960 3096547173466112 3135743973130240 3386848470978560 3429719970611200 3870683966832640 3919679966412800 4233560588723200 4390041562382336 4838354958540800 5418957553565696 5487551952977920 6193094346932224 6271487946260480 6773696941957120 6859439941222400 7741367933665280 7839359932825600 8467121177446400 8780083124764672 9676709917081600 10837915107131392 10975103905955840 12386188693864448 12542975892520960 13547393883914240 13718879882444800 15482735867330560 15678719865651200 16934242354892800 17560166249529344 19353419834163200 21675830214262784 21950207811911680 24772377387728896 27094787767828480 27437759764889600 30965471734661120 31357439731302400 33868484709785600 38706839668326400 43351660428525568 43900415623823360 49544754775457792 54189575535656960 54875519529779200 61930943469322240 62714879462604800 67736969419571200 77413679336652800 86703320857051136 87800831247646720 99089509550915584 108379151071313920 109751039059558400 123861886938644480 135473938839142400 154827358673305600 173406641714102272 198179019101831168 216758302142627840 219502078119116800 247723773877288960 270947877678284800 309654717346611200 346813283428204544 433516604285255680 439004156238233600 495447547754577920 541895755356569600 619309434693222400 693626566856409088 867033208570511360 990895095509155840 1083791510713139200 1238618869386444800 1387253133712818176 1734066417141022720 2167583021426278400 2477237738772889600 3468132834282045440 4335166042852556800 4954475477545779200 6936265668564090880 8670332085705113600 17340664171410227200 34681328342820454400
• Sum of all divisors σ(n): 99546807229836220800
• Sum of proper divisors (its aliquot sum) s(n): 64865478887015766400
• 34681328342820454400 is an abundant number, because the sum of its proper divisors (64865478887015766400) is greater than itself. Its abundance is 30184150544195312000

Bases of 34681328342820454400

• Binary: 11110000101001100110101000110000011010100100000000000000000000000₂
• Hexadecimal: 0x1E14CD460D4800000
• Base-36: 7BHQ8URMP47I8

Squares and roots of 34681328342820454400

• 34681328342820454400 squared (34681328342820454400²) is 1202794535622521365836750355022479360000
• 34681328342820454400 cubed (34681328342820454400³) is 41714512218874916927542095026514446985557776409821184000000
• The square root of 34681328342820454400 is 5889085526.8726106691
• The cube root of 34681328342820454400 is 3261108.4448436727

Scales and comparisons

• 34,681,328,342,820,454,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 34,681,328,342,820,454,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 34681328342820454400 cubic inches would be around 271759 feet tall.

Recreational maths with 34681328342820454400

• 34681328342820454400 backwards is 00445402824382318643
• The number of decimal digits it has is: 20
• The sum of 34681328342820454400's digits is 71
• More coming soon!