138513211022822400
138,513,211,022,822,400 is an even composite number composed of five prime numbers multiplied together.
138513211022822400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138513211022822400:
210 × 33 × 52 × 312 × 5933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 593 × 593 × 593)See below for interesting mathematical facts about the number 138513211022822400 from the Numbermatics database.
Names of 138513211022822400
- Cardinal: 138513211022822400 can be written as One hundred thirty-eight quadrillion, five hundred thirteen trillion, two hundred eleven billion, twenty-two million, eight hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.385132110228224 × 1017
Factors of 138513211022822400
Divisors of 138513211022822400
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 128 135 144 150 155 160 180 186 192 200 216 225 240 248 256 270 279 288 300 310 320 360 372 384 400 432 450 465 480 496 512 540 558 576 593 600 620 640 675 720 744 768 775 800 837 864 900 930 960 961 992 1024 1080 1116 1152 1186 1200 1240 1280 1350 1395 1440 1488 1536 1550 1600 1674 1728 1779 1800 1860 1920 1922 1984 2160 2232 2304 2325 2372 2400 2480 2560 2700 2790 2880 2883 2965 2976 3072 3100 3200 3348 3456 3558 3600 3720 3840 3844 3968 4185 4320 4464 4608 4650 4744 4800 4805 4960 5120 5337 5400 5580 5760 5766 5930 5952 6200 6400 6696 6912 6975 7116 7200 7440 7680 7688 7936 8370 8640 8649 8895 8928 9216 9300 9488 9600 9610 9920 10674 10800 11160 11520 11532 11860 11904 12400 12800 13392 13824 13950 14232 14400 14415 14825 14880 15360 15376 15872 16011 16740 17280 17298 17790 17856 18383 18600 18976 19200 19220 19840 20925 21348 21600 22320 23040 23064 23720 23808 24025 24800 25600 25947 26685 26784 27648 27900 28464 28800 28830 29650 29760 30752 31744 32022 33480 34560 34596 35580 35712 36766 37200 37952 38400 38440 39680 41850 42696 43200 43245 44475 44640 46080 46128 47440 47616 48050 49600 51894 53370 53568 55149 55800 56928 57600 57660 59300 59520 61504 64044 66960 69120 69192 71160 71424 72075 73532 74400 75904 76800 76880 79360 80055 83700 85392 86400 86490 88950 89280 91915 92256 94880 95232 96100 99200 103788 106740 107136 110298 111600 113856 115200 115320 118600 119040 123008 128088 129735 133425 133920 138240 138384 142320 142848 144150 147064 148800 151808 153760 158720 160110 165447 167400 170784 172800 172980 177900 178560 183830 184512 189760 192200 198400 207576 213480 214272 216225 220596 223200 227712 230400 230640 237200 238080 246016 256176 259470 266850 267840 275745 276768 284640 285696 288300 294128 297600 303616 307520 320220 330894 334800 341568 345600 345960 351649 355800 357120 367660 369024 379520 384400 396800 400275 415152 426960 428544 432450 441192 446400 455424 459575 461280 474400 476160 492032 496341 512352 518940 533700 535680 551490 553536 569280 569873 576600 588256 595200 607232 615040 640440 648675 661788 669600 683136 691200 691920 703298 711600 714240 735320 738048 759040 768800 793600 800550 827235 830304 853920 857088 864900 882384 892800 910848 919150 922560 948800 984064 992682 1024704 1037880 1054947 1067400 1071360 1102980 1107072 1138560 1139746 1153200 1176512 1190400 1230080 1280880 1297350 1323576 1339200 1366272 1378725 1383840 1406596 1423200 1428480 1470640 1476096 1518080 1537600 1601100 1654470 1660608 1707840 1709619 1729800 1758245 1764768 1785600 1821696 1838300 1845120 1897600 1985364 2049408 2075760 2109894 2134800 2142720 2205960 2214144 2277120 2279492 2306400 2353024 2380800 2460160 2481705 2561760 2594700 2647152 2678400 2732544 2757450 2767680 2813192 2846400 2849365 2941280 2952192 3036160 3075200 3164841 3202200 3308940 3321216 3415680 3419238 3459600 3516490 3529536 3571200 3676600 3690240 3795200 3970728 4098816 4136175 4151520 4219788 4269600 4285440 4411920 4428288 4554240 4558984 4612800 4706048 4920320 4963410 5123520 5128857 5189400 5274735 5294304 5356800 5465088 5514900 5535360 5626384 5692800 5698730 5882560 6150400 6329682 6404400 6617880 6642432 6831360 6838476 6919200 7032980 7059072 7142400 7353200 7380480 7590400 7941456 8197632 8272350 8303040 8439576 8539200 8548095 8791225 8823840 8856576 9108480 9117968 9225600 9412096 9494523 9926820 10247040 10257714 10378800 10549470 10588608 10713600 10901119 11029800 11070720 11252768 11385600 11397460 11765120 12300800 12408525 12659364 12808800 13235760 13284864 13662720 13676952 13838400 14065960 14118144 14246825 14706400 14760960 15180800 15386571 15824205 15882912 16395264 16544700 16606080 16879152 17078400 17096190 17582450 17647680 18235936 18451200 18824192 18989046 19853640 20494080 20515428 20757600 21098940 21177216 21427200 21802238 22059600 22141440 22505536 22771200 22794920 23530240 24601600 24817050 25318728 25617600 25644285 26373675 26471520 26569728 27325440 27353904 27676800 28131920 28236288 28493650 29412800 30773142 31648410 31765824 32703357 33089400 33212160 33758304 34156800 34192380 35164900 35295360 36471872 36902400 37978092 39707280 40988160 41030856 41515200 42197880 42354432 42740475 43604476 44119200 44282880 45011072 45542400 45589840 47060480 47472615 49634100 50637456 51235200 51288570 52747350 52943040 54505595 54707808 55353600 56263840 56472576 56987300 58825600 61546284 63296820 63531648 65406714 66178800 66424320 67516608 68313600 68384760 70329800 70590720 72943744 73804800 75956184 76932855 79121025 79414560 81976320 82061712 83030400 84395760 84708864 85480950 87208952 88238400 90022144 91179680 94120960 94945230 98110071 99268200 101274912 102470400 102577140 105494700 105886080 109011190 109415616 110707200 112527680 113974600 117651200 123092568 126593640 127063296 128221425 130813428 132357600 132848640 135033216 136627200 136769520 140659600 141181440 145887488 151912368 153865710 158242050 158829120 163516785 164123424 166060800 168791520 169417728 170961900 174417904 176476800 180044288 182359360 189890460 196220142 198536400 202549824 204940800 205154280 208527857 210989400 211772160 218022380 218831232 221414400 225055360 227949200 235302400 237363075 246185136 253187280 254126592 256442850 261626856 264715200 270066432 272527975 273539040 281319200 282362880 291774976 294330213 303824736 307731420 316484100 317658240 327033570 328246848 332121600 337583040 337934689 341923800 348835808 352953600 360088576 364718720 379780920 384664275 392440284 397072800 405099648 409881600 410308560 417055714 421978800 423544320 436044760 437662464 450110720 455898400 470604800 474726150 490550355 492370272 506374560 508253184 512885700 523253712 529430400 540132864 545055950 547078080 562638400 583549952 588660426 607649472 615462840 625583571 632968200 635316480 654067140 656493696 664243200 675166080 675869378 683847600 697671616 705907200 729437440 759561840 769328550 784880568 794145600 810199296 817583925 820617120 834111428 843957600 847088640 872089520 875324928 900221440 911796800 949452300 981100710 984740544 1012749120 1013804067 1025771400 1042639285 1046507424 1058860800 1080265728 1090111900 1094156160 1125276800 1177320852 1215298944 1230925680 1251167142 1265936400 1270632960 1308134280 1312987392 1350332160 1351738756 1367695200 1395343232 1411814400 1458874880 1471651065 1519123680 1538657100 1569761136 1588291200 1620398592 1635167850 1641234240 1668222856 1687915200 1689673445 1744179040 1750649856 1800442880 1823593600 1876750713 1898904600 1962201420 1969481088 2025498240 2027608134 2051542800 2085278570 2093014848 2117721600 2180223800 2188312320 2250553600 2354641704 2430597888 2452751775 2461851360 2502334284 2531872800 2541265920 2616268560 2625974784 2700664320 2703477512 2735390400 2790686464 2917749760 2943302130 3038247360 3041412201 3077314200 3127917855 3139522272 3176582400 3240797184 3270335700 3282468480 3336445712 3375830400 3379346890 3488358080 3647187200 3753501426 3797809200 3924402840 3938962176 4050996480 4055216268 4103085600 4170557140 4186029696 4235443200 4360447600 4376624640 4501107200 4709283408 4861195776 4905503550 4923702720 5004668568 5063745600 5069020335 5213196425 5232537120 5251949568 5401328640 5406955024 5470780800 5581372928 5630252139 5886604260 6076494720 6082824402 6154628400 6255835710 6279044544 6353164800 6464363567 6540671400 6564936960 6672891424 6751660800 6758693780 6976716160 7294374400 7358255325 7507002852 7595618400 7848805680 7877924352 8101992960 8110432536 8206171200 8341114280 8372059392 8448367225 8720895200 8753249280 9002214400 9124236603 9383753565 9418566816 9722391552 9811007100 9847405440 10009337136 10127491200 10138040670 10426392850 10465074240 10813910048 10941561600 11162745856 11260504278 11773208520 12152989440 12165648804 12309256800 12511671420 12558089088 12706329600 12928727134 13081342800 13129873920 13345782848 13503321600 13517387560 13953432320 14588748800 14716510650 15014005704 15191236800 15207061005 15639589275 15697611360 15755848704 16203985920 16220865072 16412342400 16682228560 16744118784 16896734450 17441790400 18248473206 18767507130 18837133632 19393090701 19622014200 19694810880 20018674272 20254982400 20276081340 20852785700 20930148480 21627820096 21883123200 22521008556 23546417040 24305978880 24331297608 24618513600 25023342840 25116178176 25345101675 25857454268 26162685600 26259747840 26691565696 27006643200 27034775120 27906864640 28151260695 29433021300 30028011408 30382473600 30414122010 31279178550 31395222720 32321817835 32441730144 32824684800 33364457120 33488237568 33793468900 34883580800 36496946412 37535014260 37674267264 38786181402 39244028400 39389621760 40037348544 40509964800 40552162680 41705571400 41860296960 43255640192 43766246400 45042017112 45621183015 46918767825 47092834080 48611957760 48662595216 49237027200 50046685680 50232356352 50690203350 51714908536 52325371200 53383131392 54069550240 55813729280 56302521390 58179272103 58866042600 60056022816 60764947200 60828244020 62558357100 62790445440 64643635670 64883460288 65649369600 66728914240 67586937800 69767161600 72993892824 75070028520 75348534528 76035305025 77572362804 78488056800 78779243520 80074697088 81019929600 81104325360 83411142800 83720593920 86511280384 90084034224 91242366030 93837535650 94185668160 96965453505 97325190432 98474054400 100093371360 100464712704 101380406700 103429817072 104650742400 106766262784 108139100480 112605042780 116358544206 117732085200 120112045632 121529894400 121656488040 125116714200 125580890880 129287271340 129766920576 131298739200 133457828480 135173875600 139534323200 140756303475 145987785648 150140057040 150697069056 152070610050 155144725608 156976113600 160149394176 161609089175 162208650720 166822285600 167441187840 173022560768 174537816309 180168068448 182484732060 187675071300 188371336320 193930907010 194650380864 196948108800 200186742720 200395270577 202760813400 206859634144 209301484800 213532525568 216278200960 225210085560 228105915075 232717088412 235464170400 240224091264 243059788800 243312976080 250233428400 251161781760 258574542680 259533841152 266915656960 270347751200 279068646400 281512606950 290896360515 291975571296 300280114080 301394138112 304141220100 310289451216 313952227200 320298788352 323218178350 324417301440 333644571200 346045121536 349075632618 360336136896 364969464120 375350142600 376742672640 387861814020 389300761728 393896217600 400373485440 400790541154 405521626800 413719268288 418602969600 432556401920 450420171120 456211830150 465434176824 470928340800 480448182528 484827267525 486625952160 500466856800 502323563520 517149085360 519067682304 533831313920 540695502400 563025213900 581792721030 583951142592 600560228160 601185811731 608282440200 620578902432 627904454400 640597576704 646436356700 648834602880 667289142400 698151265236 720672273792 729938928240 750700285200 753485345280 775723628040 778601523456 800746970880 801581082308 811043253600 827438536576 837205939200 865112803840 872689081545 900840342240 912423660300 930868353648 941856681600 960896365056 969654535050 973251904320 1000933713600 1001976352885 1034298170720 1038135364608 1067662627840 1081391004800 1126050427800 1163585442060 1167902285184 1201120456320 1202371623462 1216564880400 1241157804864 1255808908800 1292872713400 1297669205760 1334578284800 1396302530472 1441344547584 1454481802575 1459877856480 1501400570400 1506970690560 1551447256080 1557203046912 1601493941760 1603162164616 1622086507200 1654877073152 1730225607680 1745378163090 1801680684480 1803557435193 1824847320600 1861736707296 1883713363200 1921792730112 1939309070100 1946503808640 2001867427200 2003952705770 2068596341440 2162782009600 2252100855600 2327170884120 2335804570368 2402240912640 2404743246924 2433129760800 2482315609728 2511617817600 2585745426800 2595338411520 2669156569600 2792605060944 2882689095168 2908963605150 2919755712960 3002801140800 3005929058655 3102894512160 3114406093824 3202987883520 3206324329232 3244173014400 3309754146304 3490756326180 3603361368960 3607114870386 3649694641200 3723473414592 3767426726400 3878618140200 3893007617280 4003734854400 4007905411540 4137192682880 4325564019200 4363445407725 4504201711200 4654341768240 4671609140736 4804481825280 4809486493848 4866259521600 4964631219456 5009881764425 5171490853600 5190676823040 5338313139200 5410672305579 5585210121888 5765378190336 5817927210300 5839511425920 6005602281600 6011858117310 6205789024320 6412648658464 6488346028800 6619508292608 6981512652360 7206722737920 7214229740772 7299389282400 7446946829184 7534853452800 7757236280400 7786015234560 8007469708800 8015810823080 8274385365760 8651128038400 8726890815450 9008403422400 9017787175965 9308683536480 9343218281472 9608963650560 9618972987696 9732519043200 9929262438912 10019763528850 10342981707200 10821344611158 11170420243776 11635854420600 11679022851840 12011204563200 12023716234620 12411578048640 12825297316928 12976692057600 13963025304720 14413445475840 14428459481544 14598778564800 14893893658368 15029645293275 15514472560800 15572030469120 16014939417600 16031621646160 16548770731520 17453781630900 18016806844800 18035574351930 18617367072960 19237945975392 19465038086400 19858524877824 20039527057700 20685963414400 21642689222316 22340840487552 23271708841200 23358045703680 24022409126400 24047432469240 24823156097280 25650594633856 25953384115200 27053361527895 27926050609440 28826890951680 28856918963088 29197557129600 29787787316736 30059290586550 31028945121600 32063243292320 33097541463040 34907563261800 36033613689600 36071148703860 37234734145920 38475891950784 38930076172800 40079054115400 41371926828800 43285378444632 44681680975104 45088935879825 46543417682400 46716091407360 48044818252800 48094864938480 49646312194560 51301189267712 54106723055790 55852101218880 57713837926176 58395114259200 59575574633472 60118581173100 62057890243200 64126486584640 69815126523600 72067227379200 72142297407720 74469468291840 76951783901568 77860152345600 80158108230800 82743853657600 86570756889264 89363361950208 90177871759650 93086835364800 96189729876960 99292624389120 102602378535424 108213446111580 111704202437760 115427675852352 116790228518400 120237162346200 124115780486400 128252973169280 135266807639475 139630253047200 144134454758400 144284594815440 148938936583680 153903567803136 160316216461600 165487707315200 173141513778528 178726723900416 180355743519300 186173670729600 192379459753920 205204757070848 216426892223160 223408404875520 230855351704704 233580457036800 240474324692400 248231560972800 256505946338560 270533615278950 279260506094400 288569189630880 297877873167360 307807135606272 320632432923200 346283027557056 360711487038600 372347341459200 384758919507840 432853784446320 446816809751040 461710703409408 480948649384800 496463121945600 513011892677120 541067230557900 558521012188800 577138379261760 615614271212544 641264865846400 692566055114112 721422974077200 744694682918400 769517839015680 865707568892640 893633619502080 923421406818816 961897298769600 1026023785354240 1082134461115800 1117042024377600 1154276758523520 1282529731692800 1385132110228224 1442845948154400 1489389365836800 1539035678031360 1731415137785280 1846842813637632 1923794597539200 2164268922231600 2234084048755200 2308553517047040 2565059463385600 2770264220456448 2885691896308800 3078071356062720 3462830275570560 3847589195078400 4328537844463200 4468168097510400 4617107034094080 5130118926771200 5540528440912896 5771383792617600 6925660551141120 7695178390156800 8657075688926400 9234214068188160 11542767585235200 13851321102282240 15390356780313600 17314151377852800 23085535170470400 27702642204564480 34628302755705600 46171070340940800 69256605511411200 138513211022822400
- Sum of all divisors σ(n): 526484806966404000
- Sum of proper divisors (its aliquot sum) s(n): 387971595943581600
- 138513211022822400 is an abundant number, because the sum of its proper divisors (387971595943581600) is greater than itself. Its abundance is 249458384920759200
Bases of 138513211022822400
- Binary: 1111011000001100100001000000100111011011011001100000000002
- Hexadecimal: 0x1EC190813B6CC00
- Base-36: 11VUU2OXUYO0
Squares and roots of 138513211022822400
- 138513211022822400 squared (1385132110228224002) is 19185909627852928813973661941760000
- 138513211022822400 cubed (1385132110228224003) is 2657501948947592709668624267545705093659623424000000
-
The
square root of 138513211022822400 is 372173630.2088346505 -
The
cube root of 138513211022822400 is 517404.7353066975
Scales and comparisons
How big is 138513211022822400?- 138,513,211,022,822,400 seconds is equal to 4,404,291,661 years, 1 week, 5 days.
-
To count from 1 to 138,513,211,022,822,400 would take you about thirteen billion, two hundred twelve million, eight hundred seventy-four thousand, nine hundred eighty-three 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 138513211022822400 cubic inches would be around 43117.1 feet tall.
Recreational maths with 138513211022822400
- 138513211022822400 backwards is 004228220112315831
- 138513211022822400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138513211022822400's digits is 45
- More coming soon!
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"Number 138513211022822400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138513211022822400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138513211022822400/
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The information we have on file for 138513211022822400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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