138301916436387840
138,301,916,436,387,840 is an even composite number composed of seven prime numbers multiplied together.
138301916436387840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138301916436387840:
211 × 3 × 5 × 232 × 41 × 53 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 23 × 41 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 138301916436387840 from the Numbermatics database.
Names of 138301916436387840
- Cardinal: 138301916436387840 can be written as One hundred thirty-eight quadrillion, three hundred one trillion, nine hundred sixteen billion, four hundred thirty-six million, three hundred eighty-seven thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3830191643638784 × 1017
Factors of 138301916436387840
Divisors of 138301916436387840
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 41 46 48 53 60 64 69 80 82 92 96 106 115 120 123 128 138 159 160 164 184 192 205 212 230 240 246 256 265 276 318 320 328 345 368 384 410 424 460 480 492 512 529 530 552 615 636 640 656 690 736 768 795 820 848 920 943 960 984 1024 1058 1060 1104 1219 1230 1272 1280 1312 1380 1472 1536 1587 1590 1640 1696 1840 1886 1920 1968 1979 2048 2116 2120 2173 2208 2438 2460 2544 2560 2624 2645 2760 2829 2944 3072 3174 3180 3280 3392 3657 3680 3772 3840 3936 3958 4232 4240 4346 4416 4715 4876 4920 5088 5120 5248 5290 5520 5658 5888 5937 6095 6144 6348 6360 6519 6560 6784 7314 7360 7544 7680 7872 7916 7935 8464 8480 8692 8832 9430 9752 9840 9895 10176 10240 10496 10580 10865 11040 11316 11776 11874 12190 12696 12720 13038 13120 13568 14145 14628 14720 15088 15360 15744 15832 15870 16928 16960 17384 17664 18285 18860 19504 19680 19790 20352 20992 21160 21689 21730 22080 22632 23552 23748 24380 25392 25440 26076 26240 27136 28037 28290 29256 29440 29685 30176 30720 31488 31664 31740 32595 33856 33920 34768 35328 36570 37720 39008 39360 39580 40704 41984 42320 43378 43460 44160 45264 45517 47104 47496 48760 49979 50784 50880 52152 52480 54272 56074 56580 58512 58880 59370 60352 62976 63328 63480 65067 65190 67712 67840 69536 70656 73140 75440 78016 78720 79160 81139 81408 83968 84111 84640 86756 86920 88320 90528 91034 94992 97520 99958 101568 101760 104304 104887 104960 108445 108544 112148 113160 117024 117760 118740 120704 125952 126656 126960 130134 130380 135424 135680 136551 139072 140185 141312 146280 149937 150880 156032 157440 158320 162278 162816 168222 169280 173512 173840 176640 181056 182068 189984 195040 199916 203136 203520 208608 209774 209920 216890 224296 226320 227585 234048 235520 237480 241408 243417 249895 251904 253312 253920 260268 260760 270848 271360 273102 278144 280370 292560 299874 301760 312064 314661 314880 316640 324556 325335 325632 336444 338560 347024 347680 353280 362112 364136 379968 390080 399832 405695 406272 407040 417216 419548 419840 420555 433780 448592 452640 455170 468096 474960 482816 486834 499790 506624 507840 520536 521520 524435 541696 542720 546204 556288 560740 585120 599748 603520 624128 629322 629760 633280 649112 650670 672888 677120 682755 694048 695360 706560 724224 728272 749685 759936 780160 799664 811390 812544 814080 834432 839096 841110 867560 897184 905280 910340 936192 949920 965632 973668 999580 1013248 1015680 1041072 1043040 1046891 1048870 1083392 1092408 1112576 1121480 1149517 1170240 1199496 1207040 1217085 1248256 1258644 1259520 1266560 1298224 1301340 1345776 1354240 1365510 1388096 1390720 1448448 1456544 1499370 1519872 1560320 1573305 1599328 1622780 1625088 1628160 1668864 1678192 1682220 1735120 1794368 1810560 1820680 1866197 1872384 1899840 1931264 1947336 1999160 2026496 2031360 2082144 2086080 2093782 2097740 2184816 2225152 2242960 2299034 2340480 2398992 2412401 2414080 2434170 2496512 2517288 2533120 2596448 2602680 2691552 2708480 2731020 2776192 2781440 2896896 2913088 2998740 3039744 3120640 3140673 3146610 3198656 3245560 3250176 3337728 3356384 3364440 3448551 3470240 3588736 3621120 3641360 3732394 3744768 3799680 3894672 3916441 3998320 4052992 4062720 4164288 4172160 4187564 4195480 4300367 4369632 4450304 4485920 4598068 4680960 4797984 4824802 4828160 4868340 5034576 5066240 5192896 5205360 5234455 5383104 5416960 5462040 5552384 5562880 5598591 5747585 5793792 5826176 5997480 6079488 6241280 6281346 6293220 6397312 6491120 6675456 6712768 6728880 6897102 6940480 7177472 7237203 7242240 7282720 7464788 7489536 7599360 7789344 7832882 7996640 8125440 8328576 8344320 8375128 8390960 8600734 8739264 8971840 9196136 9330985 9361920 9595968 9649604 9656320 9736680 10069152 10132480 10385792 10410720 10468910 10766208 10924080 11104768 11125760 11197182 11495170 11652352 11749323 11994960 12062005 12158976 12482560 12562692 12586440 12794624 12901101 12982240 13350912 13425536 13457760 13794204 13880960 14354944 14474406 14484480 14565440 14929576 15198720 15578688 15665764 15703365 15993280 16250880 16657152 16688640 16750256 16781920 17201468 17242755 17478528 17943680 18392272 18661970 18723840 19191936 19299208 19473360 19582205 20138304 20264960 20771584 20821440 20937820 21501835 21532416 21848160 22209536 22251520 22394364 22990340 23304704 23498646 23989920 24124010 25125384 25172880 25589248 25802202 25964480 26851072 26915520 27588408 27761920 27992955 28709888 28948812 28968960 29130880 29859152 30397440 31157376 31331528 31406730 31986560 33314304 33377280 33500512 33563840 34402936 34485510 34957056 35887360 36186015 36784544 37323940 37447680 38383872 38598416 38946720 39164410 40276608 41543168 41642880 41875640 42922531 43003670 43064832 43696320 44419072 44788728 45980680 46609408 46997292 47979840 48248020 50250768 50345760 51178496 51604404 51928960 53702144 53831040 55176816 55485223 55523840 55985910 57419776 57897624 58261760 58746615 59718304 60794880 62314752 62663056 62813460 63973120 64505505 66628608 66754560 67001024 67127680 68805872 68971020 69914112 71774720 72372030 73569088 74647880 76767744 77196832 77893440 78328820 80553216 83086336 83285760 83751280 85845062 86007340 86129664 87392640 89577456 90078143 91961360 93218816 93994584 95959680 96496040 98908441 100501536 100691520 102356992 103208808 103857920 107404288 107662080 110353632 110970446 111047680 111971820 115795248 116523520 117493230 119436608 124629504 125326112 125626920 127946240 128767593 129011010 133257216 134002048 134255360 137611744 137942040 139828224 143549440 144744060 147138176 149295760 153535488 154393664 155786880 156657640 160574081 161106432 166172672 166455669 166571520 167502560 171690124 172014680 172259328 174785280 179154912 180156286 183922720 187989168 191919360 192992080 197816882 201003072 201383040 206417616 207571373 207715840 214612655 214808576 215324160 220707264 221940892 222095360 223943640 231590496 233047040 234986460 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305545061056 308302235520 318829628928 328855717888 329415768951 329645038080 331487566240 339774755396 340417051720 340901210112 345900069120 354547570848 363983062880 379808413440 381931326320 391479609478 397785079488 398537036160 408500462064 411069647360 424718444245 425106171904 426126512640 436779675456 439221025268 439526717440 443184463560 458317591584 461200092160 472730094464 493283576832 497231349360 506411217920 509662133094 510625577580 530380105984 531382714880 544667282752 545974594320 549026281585 553440110592 568168683520 572896989480 582372900608 587219414217 590912618080 607693461504 611090122112 616604471040 637659257856 658831537902 659290076160 662975132480 679549510792 680834103440 691800138240 709095141696 727966125760 759616826880 763862652640 782959218956 795570158976 797074072320 817000924128 822139294720 849436888490 852253025280 873559350912 878442050536 886368927120 916635183168 922400184320 945460188928 978699023695 986567153664 994462698720 1012822435840 1019324266188 1021251155160 1060760211968 1062765429760 1089334565504 1091949188640 1098052563170 1145793978960 1164745801216 1174438828434 1181825236160 1222180244224 1233208942080 1274155332735 1275318515712 1317663075804 1318580152320 1325950264960 1359099021584 1361668206880 1383600276480 1418190283392 1455932251520 1519233653760 1527725305280 1565918437912 1591140317952 1594148144640 1634001848256 1644278589440 1647078844755 1698873776980 1704506050560 1747118701824 1756884101072 1772737854240 1833270366336 1890920377856 1957398047390 1988925397440 2038648532376 2042502310320 2121520423936 2125530859520 2178669131008 2183898377280 2196105126340 2291587957920 2329491602432 2348877656868 2363650472320 2444360488448 2466417884160 2548310665470 2635326151608 2651900529920 2718198043168 2723336413760 2767200552960 2836380566784 2911864503040 2936097071085 3038467307520 3055450610560 3131836875824 3182280635904 3188296289280 3268003696512 3294157689510 3397747553960 3494237403648 3513768202144 3545475708480 3666540732672 3781840755712 3914796094780 3977850794880 4077297064752 4085004620640 4243040847872 4357338262016 4367796754560 4392210252680 4502015508997 4583175915840 4658983204864 4697755313736 4727300944640 4888720976896 4932835768320 5096621330940 5270652303216 5303801059840 5436396086336 5446672827520 5672761133568 5823729006080 5872194142170 6110901221120 6263673751648 6364561271808 6376592578560 6536007393024 6588315379020 6795495107920 6988474807296 7027536404288 7090951416960 7333081465344 7563681511424 7829592189560 7955701589760 8154594129504 8170009241280 8714676524032 8735593509120 8784420505360 9004031017994 9166351831680 9395510627472 9454601889280 9777441953792 10193242661880 10541304606432 10607602119680 10872792172672 10893345655040 11345522267136 11647458012160 11744388284340 12221802442240 12527347503296 12729122543616 13072014786048 13176630758040 13506046526991 13590990215840 13976949614592 14055072808576 14181902833920 14666162930688 15659184379120 15911403179520 16309188259008 16340018482560 17429353048064 17471187018240 17568841010720 18008062035988 18332703663360 18791021254944 18909203778560 20386485323760 21082609212864 21215204239360 21745584345344 21786691310080 22510077544985 22691044534272 23294916024320 23488776568680 24443604884480 25054695006592 26144029572096 26353261516080 27012093053982 27181980431680 28110145617152 28363805667840 29332325861376 31318368758240 31822806359040 32618376518016 32680036965120 34942374036480 35137682021440 36016124071976 36665407326720 37582042509888 37818407557120 40772970647520 42165218425728 43491168690688 43573382620160 45020155089970 46977553137360 48887209768960 50109390013184 52288059144192 52706523032160 54024186107964 54363960863360 56220291234304 56727611335680 62636737516480 63645612718080 65236753036032 65360073930240 67530232634955 69884748072960 70275364042880 72032248143952 73330814653440 75164085019776 81545941295040 84330436851456 86982337381376 87146765240320 90040310179940 93955106274720 100218780026368 105413046064320 108048372215928 108727921726720 112440582468608 113455222671360 125273475032960 130473506072064 130720147860480 135060465269910 140550728085760 144064496287904 146661629306880 150328170039552 163091882590080 168660873702912 173964674762752 180080620359880 187910212549440 200437560052736 210826092128640 216096744431856 217455843453440 224881164937216 250546950065920 260947012144128 261440295720960 270120930539820 281101456171520 288128992575808 300656340079104 326183765180160 337321747405824 360161240719760 375820425098880 400875120105472 421652184257280 432193488863712 434911686906880 501093900131840 521894024288256 540241861079640 562202912343040 576257985151616 601312680158208 652367530360320 674643494811648 720322481439520 751640850197760 843304368514560 864386977727424 869823373813760 1002187800263680 1080483722159280 1124405824686080 1152515970303232 1202625360316416 1304735060720640 1440644962879040 1503281700395520 1686608737029120 1728773955454848 2004375600527360 2160967444318560 2305031940606464 2609470121441280 2881289925758080 3006563400791040 3373217474058240 3457547910909696 4321934888637120 4610063881212928 5762579851516160 6013126801582080 6915095821819392 8643869777274240 9220127762425856 11525159703032320 13830191643638784 17287739554548480 23050319406064640 27660383287277568 34575479109096960 46100638812129280 69150958218193920 138301916436387840
- Sum of all divisors σ(n): 482996990406359520
- Sum of proper divisors (its aliquot sum) s(n): 344695073969971680
- 138301916436387840 is an abundant number, because the sum of its proper divisors (344695073969971680) is greater than itself. Its abundance is 206393157533583840
Bases of 138301916436387840
- Binary: 1111010110101100011011100001110001111001001011000000000002
- Hexadecimal: 0x1EB58DC38F25800
- Base-36: 11TRXRASK7PC
Squares and roots of 138301916436387840
- 138301916436387840 squared (1383019164363878402) is 19127420089977604972637226899865600
- 138301916436387840 cubed (1383019164363878403) is 2645358854927768702644788735560571172911845474304000
-
The
square root of 138301916436387840 is 371889656.2643116053 -
The
cube root of 138301916436387840 is 517141.5102187255
Scales and comparisons
How big is 138301916436387840?- 138,301,916,436,387,840 seconds is equal to 4,397,573,146 years, 39 weeks, 4 days, 3 hours, 44 minutes.
-
To count from 1 to 138,301,916,436,387,840 would take you about thirteen billion, one hundred ninety-two million, seven hundred nineteen thousand, four hundred forty 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 138301916436387840 cubic inches would be around 43095.1 feet tall.
Recreational maths with 138301916436387840
- 138301916436387840 backwards is 048783634619103831
- The number of decimal digits it has is: 18
- The sum of 138301916436387840's digits is 75
- More coming soon!
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"Number 138301916436387840 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138301916436387840 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138301916436387840/
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Numbermatics. 2024. "Number 138301916436387840 - Facts about the integer". https://numbermatics.com/n/138301916436387840/
The information we have on file for 138301916436387840 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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