138987242141579520
138,987,242,141,579,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 138987242141579520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138987242141579520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138987242141579520:
28 × 3 × 5 × 132 × 313 × 1933
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 31 × 31 × 31 × 193 × 193 × 193)See below for interesting mathematical facts about the number 138987242141579520 from the Numbermatics database.
Names of 138987242141579520
- Cardinal: 138987242141579520 can be written as One hundred thirty-eight quadrillion, nine hundred eighty-seven trillion, two hundred forty-two billion, one hundred forty-one million, five hundred seventy-nine thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3898724214157952 × 1017
Factors of 138987242141579520
Divisors of 138987242141579520
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 64 65 78 80 93 96 104 120 124 128 130 155 156 160 169 186 192 193 195 208 240 248 256 260 310 312 320 338 372 384 386 390 403 416 465 480 496 507 520 579 620 624 640 676 744 768 772 780 806 832 845 930 960 961 965 992 1014 1040 1158 1209 1240 1248 1280 1352 1488 1544 1560 1612 1664 1690 1860 1920 1922 1930 1984 2015 2028 2080 2316 2418 2480 2496 2509 2535 2704 2883 2895 2976 3088 3120 3224 3328 3380 3720 3840 3844 3860 3968 4030 4056 4160 4632 4805 4836 4960 4992 5018 5070 5239 5408 5766 5790 5952 5983 6045 6176 6240 6448 6760 7440 7527 7688 7720 7936 8060 8112 8320 9264 9610 9672 9920 9984 10036 10140 10478 10816 11532 11580 11904 11966 12090 12352 12480 12493 12545 12896 13520 14415 14880 15054 15376 15440 15717 16120 16224 16640 17949 18528 19220 19344 19840 20072 20280 20956 21632 23064 23160 23808 23932 24180 24704 24960 24986 25090 25792 26195 27040 28830 29760 29791 29915 30108 30752 30880 31434 32240 32448 32617 35898 37056 37249 37479 37635 38440 38688 39680 40144 40560 41912 43264 46128 46320 47864 48360 49408 49920 49972 50180 51584 52390 54080 57660 59520 59582 59830 60216 61504 61760 62465 62868 64480 64896 65234 71796 74112 74498 74958 75270 76880 77376 77779 78585 80288 81120 83824 89373 89745 92256 92640 95728 96720 97851 99944 100360 103168 104780 108160 111747 115320 119040 119164 119660 120432 123008 123520 124930 125736 128960 129792 130468 143592 148224 148955 148996 149916 150540 153760 154752 155558 157170 160576 162240 162409 163085 167648 178746 179490 184512 185280 185473 186245 187395 191456 193440 195702 199888 200720 209560 216320 223494 230640 233337 238328 239320 240864 246016 247040 249860 251472 257920 260936 287184 297910 297992 299832 301080 307520 309504 311116 314340 321152 324480 324818 326170 335296 357492 358980 369024 370560 370946 372490 374790 382912 386880 387283 388895 391404 399776 401440 419120 446865 446988 461280 466674 476656 478640 481728 484237 487227 489255 499720 502944 515840 521872 556419 558735 574368 595820 595984 599664 602160 615040 622232 628680 642304 648960 649636 652340 670592 714984 717960 738048 741120 741892 744980 749580 765824 773760 774566 777790 782808 799552 802880 812045 838240 893730 893976 922560 927365 933348 953312 957280 963456 968474 974454 978510 999440 1005888 1011127 1043744 1112838 1117470 1148736 1154719 1161849 1166685 1191640 1191968 1199328 1204320 1230080 1244464 1257360 1299272 1304680 1341184 1429968 1435920 1452711 1483784 1489960 1499160 1531648 1547520 1549132 1555580 1565616 1599104 1605760 1624090 1676480 1787460 1787952 1845120 1854730 1866696 1906624 1914560 1926912 1936415 1936948 1948908 1957020 1998880 2011776 2022254 2087488 2225676 2234940 2297472 2309438 2323698 2333370 2383280 2383936 2398656 2408640 2411149 2421185 2436135 2488928 2514720 2598544 2609360 2782095 2859936 2871840 2905422 2967568 2979920 2998320 3033381 3098264 3111160 3131232 3198208 3211520 3248180 3352960 3464157 3574920 3575904 3690240 3709460 3733392 3813248 3829120 3872830 3873896 3897816 3914040 3997760 4023552 4044508 4174976 4451352 4469880 4594944 4618876 4647396 4666740 4766560 4767872 4797312 4817280 4822298 4842370 4872270 4977856 5029440 5034679 5055635 5197088 5218720 5564190 5719872 5743680 5749663 5773595 5809245 5810844 5935136 5959840 5996640 6066762 6196528 6222320 6262464 6295081 6496360 6705920 6928314 7149840 7151808 7189057 7233447 7263555 7418920 7466784 7626496 7658240 7745660 7747792 7795632 7828080 7995520 8089016 8349952 8902704 8939760 9237752 9294792 9333480 9533120 9535744 9594624 9634560 9644596 9684740 9744540 9955712 10058880 10069358 10111270 10394176 10437440 11128380 11439744 11487360 11499326 11547190 11618490 11621688 11870272 11919680 11993280 12055745 12133524 12393056 12444640 12524928 12590162 12992720 13856628 14299680 14303616 14378114 14466894 14527110 14837840 14933568 15011347 15104037 15166905 15491320 15495584 15591264 15656160 15991040 16178032 17248989 17320785 17805408 17879520 18475504 18589584 18666960 18885243 19066240 19289192 19369480 19489080 19911424 20117760 20138716 20222540 20788352 20874880 21567171 22256760 22879488 22974720 22998652 23094380 23236980 23243376 23740544 23839360 23986560 24111490 24267048 24786112 24889280 25049856 25173395 25180324 25985440 27713256 28599360 28607232 28748315 28756228 28933788 29054220 29675680 29867136 30022694 30208074 30333810 30982640 30991168 31182528 31312320 31344937 31475405 32356064 34497978 34641570 35610816 35759040 35796289 35945285 36167235 36951008 37179168 37333920 37770486 38132480 38578384 38738960 38978160 40277432 40445080 41576704 41749760 43134342 44513520 45034041 45997304 46188760 46473960 46486752 47481088 47678720 47973120 48222980 48534096 49572224 49778560 50346790 50360648 51970880 55426512 57198720 57496630 57512456 57867576 58108440 59351360 59734272 60045388 60416148 60667620 61965280 61982336 62365056 62624640 62689874 62950810 64712128 68995956 69283140 71221632 71518080 71592578 71890570 72334470 73902016 74358336 74667840 74745619 75056735 75520185 75540972 77156768 77477920 77956320 80554864 80890160 86244945 86268684 89027040 90068082 91994608 92377520 92947920 92973504 93457741 94034811 94426215 96445960 97068192 99144448 99557120 100693580 100721296 103941760 107388867 107835855 110853024 114397440 114993260 115024912 115735152 116216880 118702720 120090776 120832296 121335240 123930560 123964672 124730112 125249280 125379748 125901620 129424256 137991912 138566280 142443264 143036160 143185156 143781140 144668940 147804032 148716672 149335680 149491238 150113470 151040370 151081944 154313536 154955840 155912640 156724685 161109728 161780320 172489890 172537368 178054080 178981445 180136164 183989216 184755040 185895840 185947008 186915482 188069622 188852430 192891920 194136384 195147511 201387160 201442592 207883520 214777734 215671710 221706048 222860767 224236857 225170205 229986520 230049824 231470304 232433760 237405440 240181552 241664592 242670480 247861120 250759496 251803240 258848512 275983824 277132560 280373223 286370312 287562280 289337880 295608064 297433344 298671360 298982476 300226940 302080740 302163888 308627072 309911680 311825280 313449370 322219456 323560640 344979780 345074736 356108160 357962890 360272328 367978432 369510080 371791680 371894016 373728095 373830964 376139244 377704860 385783840 388272768 390295022 402774320 402885184 429555468 431343420 443412096 445721534 448473714 450340410 459973040 460099648 462940608 464867520 465351757 467288705 470174055 480363104 483329184 485340960 495722240 501518992 503606480 536944335 551967648 554265120 560746446 572740624 575124560 578675760 585442533 597964952 600453880 604161480 604327776 617254144 619823360 623650560 626898740 644438912 647121280 668582301 689959560 690149472 712216320 715925780 720544656 735956864 739020160 743583360 747456190 747661928 752278488 755409720 771567680 776545536 780590044 805548640 805770368 859110936 862686840 886824192 891443068 896947428 900680820 919946080 920199296 925881216 929735040 930703514 934577410 940348110 960726208 966658368 970681920 971693047 975737555 1003037984 1007212960 1073888670 1103935296 1108530240 1109684959 1114303835 1121184285 1121492892 1145481248 1150249120 1157351520 1170885066 1195929904 1200907760 1208322960 1208655552 1214950633 1253797480 1288877824 1294242560 1337164602 1379919120 1380298944 1396055271 1401866115 1431851560 1441089312 1471913728 1478040320 1487166720 1494912380 1495323856 1504556976 1510819440 1543135360 1561180088 1611097280 1611540736 1718221872 1725373680 1782886136 1793894856 1801361640 1839892160 1840398592 1851762432 1859470080 1861407028 1869154820 1880696220 1921452416 1933316736 1941363840 1943386094 1951475110 2006075968 2014425920 2147777340 2207870592 2217060480 2219369918 2228607670 2242368570 2242985784 2290962496 2300498240 2314703040 2326758785 2341770132 2391859808 2401815520 2416645920 2417311104 2429901266 2507594960 2674329204 2759838240 2760597888 2792110542 2803732230 2863703120 2882178624 2897189971 2915079141 2927212665 2989824760 2990647712 3009113952 3021638880 3086270720 3122360176 3222194560 3329054877 3342911505 3436443744 3450747360 3565772272 3587789712 3602723280 3644851899 3679784320 3722814056 3738309640 3761392440 3842904832 3866633472 3882727680 3886772188 3902950220 4012151936 4028851840 4295554680 4415741184 4434120960 4438739836 4457215340 4484737140 4485971568 4581924992 4600996480 4629406080 4653517570 4683540264 4783719616 4803631040 4833291840 4834622208 4858465235 4859802532 5015189920 5348658408 5519676480 5521195776 5548424795 5584221084 5607464460 5727406240 5764357248 5794379942 5830158282 5854425330 5979649520 5981295424 6018227904 6043277760 6049572841 6074753165 6244720352 6444389120 6658109754 6685823010 6872887488 6901494720 6908683777 6980276355 7131544544 7175579424 7205446560 7289703798 7359568640 7445628112 7476619280 7522784880 7773544376 7805900440 8024303872 8057703680 8591109360 8691569913 8877479672 8914430680 8969474280 8971943136 9163849984 9201992960 9258812160 9307035140 9367080528 9567439232 9607262080 9666583680 9716930470 9719605064 10030379840 10697316816 11039352960 11096849590 11168442168 11214928920 11454812480 11528714496 11588759884 11660316564 11708850660 11959299040 11962590848 12036455808 12086555520 12099145682 12149506330 12489440704 13316219508 13371646020 13745774976 13802989440 13817367554 13960552710 14263089088 14351158848 14410893120 14425904467 14485949855 14575395705 14579407596 14891256224 14953238560 15045569760 15547088752 15611800880 16645274385 17182218720 17383139826 17754959344 17828861360 17938948560 17943886272 18148718523 18224259495 18614070280 18734161056 19134878464 19214524160 19333167360 19433860940 19439210128 20060759680 20726051331 21394633632 22078705920 22193699180 22336884336 22429857840 22909624960 23177519768 23320633128 23417701320 23918598080 23925181696 24072911616 24173111040 24198291364 24299012660 24978881408 26632439016 26743292040 27491549952 27605978880 27634735108 27921105420 28526178176 28702317696 28821786240 28851808934 28971899710 29150791410 29158815192 29782512448 29906477120 30091139520 30247864205 31094177504 31223601760 33290548770 34364437440 34543418885 34766279652 35509918688 35657722720 35877897120 35887772544 36297437046 36448518990 37228140560 37468322112 37663469623 38867721880 38878420256 40121519360 41452102662 42789267264 43277713401 43457849565 44387398360 44673768672 44859715680 45819249920 46355039536 46641266256 46835402640 47837196160 48396582728 48598025320 49957762816 53264878032 53486584080 55269470216 55842210840 57052356352 57404635392 57643572480 57703617868 57943799420 58301582820 58317630384 59565024896 59812954240 60182279040 60495728410 62188355008 62447203520 66581097540 68728874880 69086837770 69532559304 71019837376 71315445440 71755794240 71775545088 72129522335 72594874092 72897037980 74456281120 74936644224 75326939246 77735443760 77756840512 82904205324 85578534528 86555426802 86915699130 88774796720 89347537344 89719431360 89812889101 90743592615 92710079072 93282532512 93670805280 95674392320 96793165456 97196050640 103630256655 106529756064 106973168160 110538940432 111684421680 112990408869 115407235736 115887598840 116603165640 116635260768 119130049792 119625908480 120364558080 120991456820 124376710016 124894407040 133162195080 137457749760 138173675540 139065118608 142039674752 142630890880 143511588480 144259044670 145189748184 145794075960 148912562240 149873288448 150653878492 155470887520 155513681024 165808410648 171157069056 173110853604 173831398260 177549593440 178695074688 179438862720 179625778202 181487185230 185420158144 186565065024 187341610560 187536758071 188317348115 193586330912 194392101280 207260513310 213059512128 213946336320 214169197087 216388567005 221077880864 223368843360 225980817738 230814471472 231775197680 233206331280 233270521536 241982913640 248753420032 249788814080 266324390160 269438667303 276347351080 278130237216 284079349504 285261781760 287023176960 288518089340 290379496368 291588151920 297825124480 301307756984 310941775040 311027362048 331616821296 346221707208 347662796520 355099186880 357390149376 358877725440 359251556404 362974370460 370840316288 373130130048 374683221120 375073516142 376634696230 387172661824 388784202560 414521026620 426119024256 427892672640 428338394174 432777134010 442155761728 446737686720 449064445505 451961635476 461628942944 463550395360 466412662560 466541043072 483965827280 532648780320 538877334606 552694702160 556260474432 562610274213 564952044345 577036178680 580758992736 583176303840 595650248960 602615513968 621883550080 642507591261 663233642592 692443414416 695325593040 710198373760 718503112808 725948740920 741680632576 746260260096 749366442240 750147032284 753269392460 774345323648 777568405120 829042053240 852238048512 855785345280 856676788348 865554268020 884311523456 893475373440 898128891010 903923270952 923257885888 927100790720 932825325120 933082086144 937683790355 967931654560 1065297560640 1070845985435 1077754669212 1105389404320 1112520948864 1125220548426 1129904088690 1154072357360 1161517985472 1166352607680 1167567558313 1205231027936 1243767100160 1285015182522 1326467285184 1347193336515 1384886828832 1390651186080 1420396747520 1437006225616 1451897481840 1500294064568 1506538784920 1548690647296 1555136810240 1658084106480 1713353576696 1731108536040 1768623046912 1786950746880 1796257782020 1807846541904 1846515771776 1854201581440 1865650650240 1875367580710 1935863309120 2130595121280 2141691970870 2155509338424 2210778808640 2225041897728 2250441096852 2259808177380 2308144714720 2323035970944 2332705215360 2335135116626 2410462055872 2570030365044 2652934570368 2694386673030 2769773657664 2781302372160 2784199562131 2813051371065 2874012451232 2903794963680 3000588129136 3013077569840 3212537956305 3316168212960 3426707153392 3462217072080 3502702674939 3592515564040 3615693083808 3693031543552 3708403162880 3731301300480 3750735161420 3871726618240 4261190242560 4283383941740 4311018676848 4421557617280 4500882193704 4519616354760 4616289429440 4646071941888 4665410430720 4670270233252 4820924111744 5140060730088 5305869140736 5388773346060 5539547315328 5562604744320 5568399124262 5626102742130 5748024902464 5807589927360 5837837791565 6001176258272 6026155139680 6425075912610 6632336425920 6853414306784 6924434144160 7005405349878 7185031128080 7231386167616 7501470322840 7743453236480 8352598686393 8566767883480 8622037353696 8843115234560 9001764387408 9039232709520 9232578858880 9340540466504 9641848223488 10280121460176 10777546692120 11079094630656 11125209488640 11136798248524 11252205484260 11496049804928 11615179854720 11675675583130 12002352516544 12052310279360 12850151825220 13264672851840 13706828613568 13848868288320 13920997810655 14010810699756 14370062256160 14462772335232 15002940645680 16705197372786 17133535766960 17244074707392 17513513374695 18003528774816 18078465419040 18465157717760 18681080933008 20560242920352 21555093384240 22273596497048 22504410968520 22992099609856 23230359709440 23351351166260 24004705033088 24104620558720 25700303650440 26529345703680 27413657227136 27697736576640 27841995621310 28021621399512 28740124512320 28925544670464 30005881291360 33410394745572 34267071533920 34488149414784 35027026749390 36007057549632 36156930838080 36194594307703 37362161866016 41120485840704 41762993431965 43110186768480 44547192994096 45008821937040 46702702332520 48009410066176 48209241117440 51400607300880 54827314454272 55395473153280 55683991242620 56043242799024 57480249024640 60011762582720 66820789491144 68534143067840 68976298829568 70054053498780 72014115099264 72313861676160 72389188615406 74724323732032 82240971681408 83525986863930 86220373536960 89094385988192 90017643874080 93405404665040 102801214601760 108583782923109 111367982485240 112086485598048 114960498049280 120023525165440 133641578982288 137068286135680 140108106997560 144028230198528 144627723352320 144778377230812 149448647464064 164481943362816 167051973727860 172440747073920 178188771976384 180035287748160 180972971538515 186810809330080 205602429203520 217167565846218 222735964970480 224172971196096 240047050330880 267283157964576 274136572271360 280216213995120 289556754461624 298897294928128 334103947455720 344881494147840 356377543952768 360070575496320 361945943077030 373621618660160 411204858407040 434335131692436 445471929940960 448345942392192 534566315929152 542918914615545 560432427990240 579113508923248 668207894911440 712755087905536 720141150992640 723891886154060 747243237320320 822409716814080 868670263384872 890943859881920 896691884784384 1069132631858304 1085837829231090 1120864855980480 1158227017846496 1336415789822880 1447783772308120 1494486474640640 1737340526769744 1781887719763840 2138265263716608 2171675658462180 2241729711960960 2316454035692992 2672831579645760 2895567544616240 3474681053539488 3563775439527680 4343351316924360 4483459423921920 4632908071385984 5345663159291520 5791135089232480 6949362107078976 8686702633848720 9265816142771968 10691326318583040 11582270178464960 13898724214157952 17373405267697440 23164540356929920 27797448428315904 34746810535394880 46329080713859840 69493621070789760 138987242141579520
- Sum of all divisors σ(n): 499270940243712000
- Sum of proper divisors (its aliquot sum) s(n): 360283698102132480
- 138987242141579520 is an abundant number, because the sum of its proper divisors (360283698102132480) is greater than itself. Its abundance is 221296455960552960
Bases of 138987242141579520
- Binary: 1111011011100100000101001000011000010100011111001000000002
- Hexadecimal: 0x1EDC8290C28F900
- Base-36: 120IV5KYUI2O
Squares and roots of 138987242141579520
- 138987242141579520 squared (1389872421415795202) is 19317453478122058037012440483430400
- 138987242141579520 cubed (1389872421415795203) is 2684879584122447976983144500773501552629443985408000
-
The
square root of 138987242141579520 is 372809927.6328079759 -
The
cube root of 138987242141579520 is 517994.2980514301
Scales and comparisons
How big is 138987242141579520?- 138,987,242,141,579,520 seconds is equal to 4,419,364,384 years, 17 weeks, 2 days, 21 hours, 52 minutes.
-
To count from 1 to 138,987,242,141,579,520 would take you about thirteen billion, two hundred fifty-eight million, ninety-three thousand, one hundred fifty-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 138987242141579520 cubic inches would be around 43166.2 feet tall.
Recreational maths with 138987242141579520
- 138987242141579520 backwards is 025975141242789831
- 138987242141579520 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138987242141579520's digits is 78
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138987242141579520 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138987242141579520 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138987242141579520/
Chicago style:
Numbermatics. 2024. "Number 138987242141579520 - Facts about the integer". https://numbermatics.com/n/138987242141579520/
The information we have on file for 138987242141579520 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!
Keywords: Divisors of 138987242141579520, math, Factors of 138987242141579520, curriculum, school, college, exams, university, Prime factorization of 138987242141579520, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred eighty-seven trillion, two hundred forty-two billion, one hundred forty-one million, five hundred seventy-nine thousand, five hundred twenty.