138312939405312
138,312,939,405,312 is an even composite number composed of six prime numbers multiplied together.
138312939405312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 138312939405312:
216 × 34 × 72 × 17 × 31 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 31 × 1009)See below for interesting mathematical facts about the number 138312939405312 from the Numbermatics database.
Names of 138312939405312
- Cardinal: 138312939405312 can be written as One hundred thirty-eight trillion, three hundred twelve billion, nine hundred thirty-nine million, four hundred five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38312939405312 × 1014
Factors of 138312939405312
Divisors of 138312939405312
- Number of divisors d(n): 2040
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 31 32 34 36 42 48 49 51 54 56 62 63 64 68 72 81 84 93 96 98 102 108 112 119 124 126 128 136 144 147 153 162 168 186 189 192 196 204 216 217 224 238 248 252 256 272 279 288 294 306 324 336 357 372 378 384 392 408 432 434 441 448 459 476 496 504 512 527 544 558 567 576 588 612 648 651 672 714 744 756 768 784 816 833 837 864 868 882 896 918 952 992 1008 1009 1024 1054 1071 1088 1116 1134 1152 1176 1224 1296 1302 1323 1344 1377 1428 1488 1512 1519 1536 1568 1581 1632 1666 1674 1728 1736 1764 1792 1836 1904 1953 1984 2016 2018 2048 2108 2142 2176 2232 2268 2304 2352 2448 2499 2511 2592 2604 2646 2688 2754 2856 2976 3024 3027 3038 3072 3136 3162 3213 3264 3332 3348 3456 3472 3528 3584 3672 3689 3808 3906 3968 3969 4032 4036 4096 4216 4284 4352 4464 4536 4557 4608 4704 4743 4896 4998 5022 5184 5208 5292 5376 5508 5712 5859 5952 6048 6054 6076 6144 6272 6324 6426 6528 6664 6696 6912 6944 7056 7063 7168 7344 7378 7497 7616 7812 7936 7938 8064 8072 8192 8432 8568 8704 8928 9072 9081 9114 9216 9408 9486 9639 9792 9996 10044 10368 10416 10584 10752 11016 11067 11424 11718 11904 12096 12108 12152 12288 12544 12648 12852 13056 13328 13392 13671 13824 13888 14112 14126 14229 14336 14688 14756 14994 15232 15624 15872 15876 16128 16144 16384 16864 17136 17153 17408 17577 17856 18144 18162 18228 18432 18816 18972 19278 19584 19992 20088 20736 20832 21168 21189 21504 22032 22134 22491 22848 23436 23808 24192 24216 24304 24576 25088 25296 25704 25823 26112 26656 26784 27243 27342 27648 27776 28224 28252 28458 28672 29376 29512 29988 30464 31248 31279 31744 31752 32256 32288 32768 33201 33728 34272 34306 34816 35154 35712 36288 36324 36456 36864 37632 37944 38556 39168 39984 40176 41013 41472 41664 42336 42378 42687 43008 44064 44268 44982 45696 46872 47616 48384 48432 48608 49152 49441 50176 50592 51408 51459 51646 52224 53312 53568 54486 54684 55296 55552 56448 56504 56916 57344 58752 59024 59976 60928 62496 62558 63488 63504 63567 64512 64576 65536 66402 67456 67473 68544 68612 69632 70308 71424 72576 72648 72912 73728 75264 75888 77112 77469 78336 79968 80352 81729 82026 82944 83328 84672 84756 85374 86016 88128 88536 89964 91392 93744 93837 95232 96768 96864 97216 98304 98882 99603 100352 101184 102816 102918 103292 104448 106624 107136 108972 109368 110592 111104 112896 113008 113832 114688 117504 118048 119952 120071 121856 123039 124992 125116 126976 127008 127134 129024 129152 132804 134912 134946 137088 137224 139264 140616 142848 145152 145296 145824 147456 148323 150528 151776 154224 154377 154938 156672 159936 160704 163458 164052 165888 166656 169344 169512 170748 172032 176256 177072 179928 182784 187488 187674 190464 190701 193536 193728 194432 196608 197764 199206 200704 202368 205632 205836 206584 208896 213248 214272 217944 218736 218953 221184 222208 225792 226016 227664 229376 232407 235008 236096 239904 240142 243712 246078 249984 250232 253952 254016 254268 258048 258304 265608 269824 269892 274176 274448 278528 281232 281511 285696 290304 290592 291648 294912 296646 298809 301056 303552 308448 308754 309876 313344 319872 321408 326916 328104 331776 333312 338688 339024 341496 344064 352512 354144 359856 360213 365568 374976 375348 380928 381402 387072 387456 388864 395528 398412 401408 404736 411264 411672 413168 417792 426496 428544 435888 437472 437906 442368 444416 444969 451584 452032 455328 458752 463131 464814 470016 472192 479808 480284 487424 492156 499968 500464 507904 508032 508536 516096 516608 531216 531743 539648 539784 548352 548896 557056 562464 563022 571392 572103 580608 581184 583296 589824 593292 597618 602112 607104 616896 617508 619752 626688 639744 642816 653832 656208 656859 663552 666624 677376 678048 682992 688128 697221 705024 708288 719712 720426 731136 749952 750696 761856 762804 774144 774912 777728 791056 796824 802816 809472 822528 823344 826336 835584 840497 844533 852992 857088 871776 874944 875812 884736 888832 889938 903168 904064 910656 926262 929628 940032 944384 959616 960568 974848 984312 999936 1000928 1015808 1016064 1017072 1032192 1033216 1062432 1063486 1079296 1079568 1080639 1096704 1097792 1114112 1124928 1126044 1142784 1144206 1161216 1162368 1166592 1186584 1195236 1204224 1214208 1233792 1235016 1239504 1253376 1279488 1285632 1307664 1312416 1313718 1327104 1333248 1334907 1354752 1356096 1365984 1376256 1389393 1394442 1410048 1416576 1439424 1440852 1462272 1499904 1501392 1523712 1525608 1532671 1548288 1549824 1555456 1582112 1593648 1595229 1605632 1618944 1645056 1646688 1652672 1671168 1680994 1689066 1705984 1714176 1743552 1749888 1751624 1769472 1777664 1779876 1806336 1808128 1821312 1852524 1859256 1880064 1888768 1919232 1921136 1949696 1968624 1970577 1999872 2001856 2031616 2032128 2034144 2064384 2066432 2091663 2124864 2126972 2158592 2159136 2161278 2193408 2195584 2249856 2252088 2285568 2288412 2322432 2324736 2333184 2373168 2390472 2408448 2428416 2467584 2470032 2479008 2506752 2521491 2533599 2558976 2571264 2615328 2624832 2627436 2654208 2666496 2669814 2709504 2712192 2731968 2778786 2788884 2820096 2833152 2878848 2881704 2924544 2999808 3002784 3047424 3051216 3065342 3096576 3099648 3110912 3164224 3187296 3190458 3211264 3237888 3241917 3290112 3293376 3305344 3342336 3361988 3378132 3411968 3428352 3487104 3499776 3503248 3555328 3559752 3612672 3616256 3642624 3705048 3718512 3722201 3760128 3777536 3838464 3842272 3899392 3937248 3941154 3999744 4003712 4004721 4064256 4068288 4128768 4132864 4183326 4249728 4253944 4317184 4318272 4322556 4386816 4391168 4499712 4504176 4571136 4576824 4598013 4644864 4649472 4666368 4746336 4780944 4785687 4816896 4856832 4935168 4940064 4958016 5013504 5042982 5067198 5117952 5142528 5230656 5249664 5254872 5308416 5332992 5339628 5419008 5424384 5463936 5557572 5577768 5640192 5666304 5757696 5763408 5849088 5911731 5999616 6005568 6094848 6102432 6130684 6193152 6199296 6221824 6328448 6374592 6380916 6475776 6483834 6580224 6586752 6610688 6723976 6756264 6823936 6856704 6974208 6999552 7006496 7110656 7119504 7225344 7232512 7285248 7410096 7437024 7444402 7520256 7555072 7564473 7676928 7684544 7798784 7874496 7882308 7999488 8007424 8009442 8128512 8136576 8265728 8366652 8499456 8507888 8634368 8636544 8645112 8773632 8782336 8999424 9008352 9142272 9153648 9196026 9289728 9298944 9332736 9492672 9561888 9571374 9633792 9713664 9725751 9870336 9880128 9916032 10027008 10085964 10134396 10235904 10285056 10461312 10499328 10509744 10665984 10679256 10838016 10848768 10927872 11115144 11155536 11166603 11280384 11332608 11515392 11526816 11698176 11823462 11999232 12011136 12204864 12261368 12386304 12398592 12443648 12656896 12749184 12761832 12951552 12967668 13160448 13173504 13221376 13447952 13512528 13647872 13713408 13794039 13948416 13999104 14012992 14221312 14239008 14357061 14450688 14465024 14570496 14820192 14874048 14888804 15040512 15110144 15128946 15353856 15369088 15748992 15764616 15998976 16014848 16018884 16257024 16273152 16531456 16733304 16998912 17015776 17268736 17273088 17290224 17547264 17564672 17735193 17998848 18016704 18284544 18307296 18392052 18579456 18597888 18665472 18985344 19123776 19142748 19427328 19451502 19740672 19760256 19832064 20171928 20268792 20471808 20570112 20922624 20998656 21019488 21331968 21358512 21676032 21697536 21855744 22230288 22311072 22333206 22560768 22665216 22693419 23030784 23053632 23396352 23646924 23998464 24022272 24409728 24522736 24797184 24887296 25313792 25498368 25523664 25903104 25935336 26055407 26320896 26347008 26442752 26895904 27025056 27295744 27426816 27588078 27896832 27998208 28025984 28478016 28714122 28901376 28930048 29140992 29640384 29748096 29777608 30081024 30220288 30257892 30707712 30738176 31497984 31529232 31997952 32029696 32037768 32514048 32546304 33062912 33466608 33499809 33997824 34031552 34537472 34546176 34580448 35094528 35129344 35470386 35997696 36033408 36614592 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86142366 86704128 86790144 87422976 88921152 89244288 89332824 90243072 90660864 90773676 92123136 92214528 94587696 95993856 96089088 97638912 98090944 99188736 99549184 100499427 101255168 101993472 102094656 103612416 103741344 104221628 105283584 105388032 105771008 107583616 108100224 110352312 111587328 111992832 112103936 113912064 114856488 115720192 116563968 118561536 118992384 119110432 120881152 121031568 122830848 122952704 124146351 125991936 126116928 127991808 128118784 128151072 130056192 130185216 133866432 133999236 135991296 136126208 136160514 138184704 138321792 140517376 141881544 143990784 144133632 146458368 147136416 148783104 149323776 151882752 152990208 153141984 155418624 155612016 156332442 157925376 158082048 158656512 161375424 162150336 163774464 164560896 165528468 167380992 167989248 168155904 170868096 172284732 173580288 174845952 177842304 178488576 178665648 181321728 181547352 184246272 184429056 189175392 191987712 192178176 195277824 196181888 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468997326 474246144 475969536 476441728 484126272 491323392 491810816 496585404 503967744 504467712 512475136 512604288 520740864 535465728 535996944 543965184 544504832 544642056 552738816 553287168 562069504 567526176 575963136 576534528 585833472 588545664 595132416 602996562 607531008 611960832 612567936 622448064 625329768 631701504 632328192 634626048 645501696 648601344 662113872 669523968 671956992 672623616 683472384 689138928 694321152 699383808 703495989 711369216 713954304 714662592 725286912 726189408 736985088 737716224 756701568 768712704 781111296 784727552 803995416 810041344 815947776 816757248 829930752 833773024 843104256 846168064 860668928 864801792 882818496 892698624 895942656 896831488 911296512 918851904 932511744 937994652 948492288 951939072 952883456 968252544 983621632 993170808 1007935488 1008935424 1024950272 1025208576 1041481728 1070931456 1071993888 1087930368 1089009664 1089284112 1105477632 1106574336 1124139008 1135052352 1151926272 1153069056 1171666944 1177091328 1205993124 1215062016 1223921664 1225135872 1244896128 1250659536 1264656384 1269252096 1291003392 1297202688 1324227744 1339047936 1343913984 1345247232 1366944768 1378277856 1388642304 1398767616 1406991978 1422738432 1427908608 1429325184 1452378816 1473970176 1475432448 1513403136 1537425408 1562222592 1569455104 1607990832 1620082688 1631895552 1633514496 1659861504 1667546048 1686208512 1692336128 1721337856 1729603584 1765636992 1785397248 1793662976 1822593024 1837703808 1875989304 1896984576 1903878144 1905766912 1936505088 1967243264 1986341616 2015870976 2017870848 2049900544 2050417152 2082963456 2110487967 2141862912 2143987776 2175860736 2178019328 2178568224 2210955264 2213148672 2270104704 2306138112 2343333888 2354182656 2411986248 2430124032 2447843328 2450271744 2489792256 2501319072 2529312768 2538504192 2582006784 2594405376 2648455488 2678095872 2687827968 2690494464 2733889536 2756555712 2797535232 2813983956 2845476864 2855817216 2858650368 2904757632 2950864896 3026806272 3074850816 3124445184 3138910208 3215981664 3240165376 3263791104 3267028992 3319723008 3335092096 3372417024 3442675712 3459207168 3531273984 3587325952 3645186048 3675407616 3751978608 3793969152 3807756288 3811533824 3873010176 3934486528 3972683232 4031741952 4035741696 4100834304 4165926912 4220975934 4283725824 4287975552 4356038656 4357136448 4421910528 4426297344 4540209408 4612276224 4686667776 4708365312 4823972496 4860248064 4895686656 4900543488 4979584512 5002638144 5058625536 5077008384 5164013568 5188810752 5296910976 5356191744 5380988928 5467779072 5513111424 5627967912 5690953728 5711634432 5717300736 5809515264 5901729792 6053612544 6149701632 6248890368 6277820416 6431963328 6527582208 6534057984 6639446016 6670184192 6885351424 6918414336 7062547968 7174651904 7290372096 7350815232 7503957216 7587938304 7615512576 7623067648 7746020352 7868973056 7945366464 8063483904 8071483392 8201668608 8441951868 8567451648 8575951104 8712077312 8714272896 8852594688 9080418816 9224552448 9373335552 9416730624 9647944992 9720496128 9791373312 9801086976 9959169024 10005276288 10117251072 10328027136 10377621504 10593821952 10761977856 10935558144 11026222848 11255935824 11381907456 11423268864 11434601472 11619030528 11803459584 12107225088 12497780736 12555640832 12863926656 13068115968 13278892032 13340368384 13770702848 13836828672 14125095936 14349303808 14580744192 14701630464 15007914432 15175876608 15231025152 15246135296 15492040704 15890732928 16142966784 16403337216 16883903736 17134903296 17151902208 17424154624 17428545792 17705189376 18160837632 18449104896 18746671104 18833461248 19295889984 19582746624 19602173952 19918338048 20010552576 20656054272 20755243008 21187643904 21523955712 21871116288 22052445696 22511871648 22763814912 22846537728 22869202944 23238061056 23606919168 24214450176 25111281664 25727853312 26136231936 26557784064 26680736768 27541405696 27673657344 28250191872 29161488384 29403260928 30015828864 30351753216 30492270592 30984081408 31781465856 32285933568 32806674432 33767807472 34269806592 34303804416 34848309248 34857091584 35410378752 36321675264 37493342208 37666922496 38591779968 39204347904 39836676096 40021105152 41312108544 41510486016 42375287808 43047911424 43742232576 44104891392 45023743296 45527629824 45693075456 45738405888 46476122112 48428900352 50222563328 51455706624 52272463872 53115568128 53361473536 55082811392 55347314688 56500383744 58806521856 60031657728 60984541184 61968162816 63562931712 64571867136 65613348864 67535614944 68539613184 68607608832 69714183168 70820757504 72643350528 75333844992 77183559936 78408695808 79673352192 80042210304 82624217088 83020972032 84750575616 87484465152 88209782784 90047486592 91055259648 91476811776 92952244224 96857800704 100445126656 102911413248 104544927744 106231136256 106722947072 113000767488 117613043712 120063315456 121969082368 123936325632 127125863424 129143734272 131226697728 135071229888 137079226368 137215217664 139428366336 145286701056 150667689984 154367119872 156817391616 159346704384 160084420608 165248434176 166041944064 169501151232 176419565568 180094973184 182953623552 185904488448 193715601408 205822826496 212462272512 213445894144 226001534976 235226087424 240126630912 243938164736 247872651264 254251726848 262453395456 270142459776 274430435328 278856732672 290573402112 301335379968 308734239744 313634783232 318693408768 320168841216 339002302464 352839131136 360189946368 365907247104 371808976896 387431202816 411645652992 426891788288 452003069952 470452174848 480253261824 495745302528 508503453696 540284919552 548860870656 557713465344 581146804224 617468479488 637386817536 640337682432 678004604928 705678262272 720379892736 731814494208 743617953792 823291305984 853783576576 904006139904 940904349696 960506523648 1017006907392 1080569839104 1097721741312 1115426930688 1162293608448 1234936958976 1280675364864 1356009209856 1411356524544 1440759785472 1487235907584 1646582611968 1707567153152 1921013047296 2034013814784 2161139678208 2195443482624 2230853861376 2469873917952 2561350729728 2712018419712 2822713049088 2881519570944 3293165223936 3842026094592 4068027629568 4322279356416 4461707722752 4939747835904 5122701459456 5763039141888 6586330447872 7684052189184 8136055259136 8644558712832 9879495671808 11526078283776 15368104378368 17289117425664 19758991343616 23052156567552 34578234851328 46104313135104 69156469702656 138312939405312
- Sum of all divisors σ(n): 525909112629120
- Sum of proper divisors (its aliquot sum) s(n): 387596173223808
- 138312939405312 is an abundant number, because the sum of its proper divisors (387596173223808) is greater than itself. Its abundance is 249283233818496
Bases of 138312939405312
- Binary: 111110111001011011111011001111100000000000000002
- Hexadecimal: 0x7DCB7D9F0000
- Base-36: 1D1034ZK00
Squares and roots of 138312939405312
- 138312939405312 squared (1383129394053122) is 19130469206937509028213817344
- 138312939405312 cubed (1383129394053123) is 2645991428214334798233542656501212751331328
-
The
square root of 138312939405312 is 11760652.1675165617 -
The
cube root of 138312939405312 is 51715.5248961481
Scales and comparisons
How big is 138312939405312?- 138,312,939,405,312 seconds is equal to 4,397,923 years, 33 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,312,939,405,312 would take you about ten million, nine hundred ninety-four thousand, eight hundred 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 138312939405312 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138312939405312
- 138312939405312 backwards is 213504939213831
- 138312939405312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138312939405312's digits is 54
- More coming soon!
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MLA style:
"Number 138312939405312 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138312939405312 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138312939405312/
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The information we have on file for 138312939405312 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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