138361882326619952
138,361,882,326,619,952 is an even composite number composed of six prime numbers multiplied together.
138361882326619952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138361882326619952:
24 × 7 × 115 × 133 × 17 × 593
(2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 17 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138361882326619952 from the Numbermatics database.
Names of 138361882326619952
- Cardinal: 138361882326619952 can be written as One hundred thirty-eight quadrillion, three hundred sixty-one trillion, eight hundred eighty-two billion, three hundred twenty-six million, six hundred nineteen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38361882326619952 × 1017
Factors of 138361882326619952
Divisors of 138361882326619952
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 34 44 52 56 59 68 77 88 91 104 112 118 119 121 136 143 154 169 176 182 187 208 221 236 238 242 272 286 308 338 364 374 413 442 472 476 484 572 616 649 676 728 748 767 826 847 884 944 952 968 1001 1003 1144 1183 1232 1298 1309 1331 1352 1456 1496 1534 1547 1573 1652 1694 1768 1859 1904 1936 2002 2006 2057 2197 2288 2366 2431 2596 2618 2662 2704 2873 2992 3068 3094 3146 3304 3388 3481 3536 3718 4004 4012 4114 4394 4543 4732 4862 5192 5236 5324 5369 5746 6136 6188 6292 6608 6776 6962 7021 7139 7436 8008 8024 8228 8437 8788 9086 9317 9464 9724 9971 10384 10472 10648 10738 11011 11033 11492 12272 12376 12584 13013 13039 13552 13924 14042 14278 14399 14641 14872 15379 16016 16048 16456 16874 17017 17303 17576 18172 18634 18928 19448 19942 20111 20449 20944 21296 21476 22022 22066 22627 22984 24167 24367 24752 25168 26026 26078 26741 27848 28084 28556 28798 29282 29744 30758 31603 32912 33748 34034 34606 35152 36344 37268 37349 38291 38896 39884 40222 40898 42952 44044 44132 45253 45254 45968 48334 48734 49973 52052 52156 53482 55696 56168 57112 57596 58564 59059 59177 61516 63206 67496 68068 69212 69797 72688 74536 74698 76582 77231 78529 79768 80444 81796 85904 88088 88264 90506 90508 91273 92807 96668 97468 99946 102487 104104 104312 106964 109681 112336 114224 115192 117128 118118 118354 121121 121363 123032 126412 129623 134992 136136 138424 139594 143143 143429 149072 149396 153164 154462 157058 158389 159536 160888 161051 163592 169169 169507 176176 176528 181012 181016 182546 185614 187187 190333 193336 194936 199892 204974 205379 208208 208624 213928 219362 221221 224939 230384 234256 236236 236708 242242 242726 246064 248897 252824 259246 261443 265837 268037 272272 276848 279188 286286 286858 294151 298792 306328 308924 314116 316771 316778 321776 322102 327184 338338 339014 347633 362024 362032 365092 371228 374374 380666 386672 389872 399784 409948 410758 410839 414239 421201 427856 438724 442442 449878 472472 473416 484484 485452 497783 497794 505648 518492 522886 531674 536074 549703 558376 572572 573716 588289 588302 597584 612656 617848 628232 633542 633556 644204 649649 650947 676676 678028 695266 724048 730184 742456 748748 761332 767767 769301 799568 819896 821516 821678 828478 842402 849541 863819 877448 884884 899756 907361 944944 946832 968968 970904 995566 995588 1004003 1020877 1036984 1045772 1063348 1072148 1099406 1116752 1127357 1145144 1147432 1176578 1176604 1186549 1206491 1235696 1256464 1267084 1267112 1288408 1299298 1301894 1332331 1334993 1353352 1356056 1390532 1425853 1437653 1460368 1484912 1497496 1522664 1535534 1538602 1574573 1577719 1639792 1643032 1643356 1656956 1684804 1699082 1727638 1742279 1754896 1769768 1799512 1814722 1860859 1864577 1937936 1941808 1991132 1991176 2008006 2041754 2059057 2073968 2091544 2093663 2126696 2144296 2198812 2203591 2254714 2259169 2290288 2294864 2353156 2353208 2373098 2412982 2433431 2474329 2534168 2534224 2576816 2598596 2603788 2664662 2669927 2669986 2706704 2712112 2737867 2781064 2851706 2875306 2875873 2924207 2948407 2994992 3045328 3071068 3077204 3149146 3155438 3235661 3286064 3286712 3313912 3369608 3398164 3455276 3484481 3484558 3491443 3539536 3599024 3629444 3721718 3729154 3823963 3982264 3982352 4016012 4083508 4118023 4118114 4183088 4187326 4253392 4288592 4397624 4407182 4509428 4518338 4519229 4556629 4633211 4706312 4706416 4746196 4825964 4866862 4948658 5068336 5197192 5207576 5329324 5339854 5339972 5385107 5475613 5475734 5562128 5703412 5750612 5751746 5848414 5896814 6046733 6142136 6154408 6298292 6310876 6471179 6471322 6573424 6627824 6739216 6796328 6910552 6968962 6969116 6982886 7146139 7160417 7258888 7443436 7458308 7647757 7647926 7964528 8032024 8167016 8236046 8236228 8374652 8445437 8462311 8795248 8814364 9018856 9036676 9038458 9113258 9266422 9344951 9412624 9492392 9502009 9651928 9733724 9897316 9980971 10000913 10394384 10415152 10658648 10679708 10679944 10770214 10951226 10951468 11044033 11229647 11406824 11501224 11503492 11696828 11793628 12093466 12284272 12308816 12596584 12621752 12942358 12942644 13052039 13271401 13592656 13821104 13937924 13938232 13965772 14292278 14320834 14517776 14655641 14684923 14886872 14916616 15295514 15295852 15425137 15684383 15814183 16064048 16334032 16472092 16472456 16749304 16890874 16924622 17320303 17354909 17628728 18037712 18073352 18076916 18226516 18532844 18689489 18689902 18984784 19004018 19165069 19303856 19467448 19794632 19961942 20001826 20469449 20510347 21317296 21359416 21359888 21540428 21902452 21902936 22088066 22459294 22649627 22813648 23002448 23006984 23393656 23587256 24186932 24239501 24440101 24850859 25193168 25243504 25884716 25885288 26104078 26542802 26767741 27217619 27875848 27876464 27931544 28584556 28641668 29311282 29369197 29369846 29773744 29833232 30591028 30591704 30850274 31368766 31628366 31634603 32166277 32432477 32944184 32944912 33498608 33781748 33849244 34640606 34709051 34709818 35257456 35592271 36146704 36153832 36453032 37065688 37378978 37379804 38008036 38329291 38330138 38405873 38934896 39589264 39923884 40003652 40938898 41020694 42063593 42718832 43080856 43804904 43805872 44176132 44918588 45298253 45299254 45388759 46013968 46787312 47174512 48373864 48479002 48880202 49701718 49711519 50122919 50965321 51769432 51770576 52208156 53085604 53534299 53535482 54435238 55751696 55863088 57169112 57283336 58622564 58738394 58739692 59236177 60231743 61182056 61183408 61700548 62737532 63256732 63269206 64332554 64864954 65888368 66514063 67563496 67698488 69281212 69418102 69419636 70006391 71182969 71184542 72307664 72906064 74131376 74757956 74759608 76016072 76658582 76660276 76811746 78607529 78764587 79847768 80007304 81877796 82041388 84125327 84127186 86161712 87609808 88352264 89837176 90596506 90598508 90777518 92899807 93085421 96747728 96958004 97760404 99403436 99423038 100245838 101930642 102794461 103538864 104416312 106171208 107068598 107070964 108870476 109790681 110010043 114338224 114566672 117245128 117476788 117479384 118472354 120463486 121484363 122364112 123401096 123526117 125475064 126513464 126538412 128665108 129729908 130011869 133028126 135126992 135396976 138562424 138836204 138839272 140012782 142365938 142369084 143572429 145985411 149515912 149519216 152032144 153317164 153320552 153623492 157215058 157529174 159695536 160014608 161534153 163755592 164082776 168250654 168254372 169676507 172528213 173956013 176704528 179674352 181193012 181197016 181555036 185799614 186170842 190523333 190903999 193916008 195520808 198806872 198846076 200491676 203861284 205584379 205588922 208832624 212342416 214137196 214141928 217740952 219581362 220020086 225163939 225613817 234490256 234953576 234958768 236944708 240926972 242963357 242968726 246802192 247052234 249145897 250950128 253026928 253076824 257330216 259459816 260023738 266056252 266634511 268841111 273359449 277124848 277672408 277678544 280025564 284731876 284738168 287144858 291970822 294445151 299031824 306634328 306641104 307246984 314430116 315058348 317721313 323061167 323068306 327511184 328165552 336501308 336508744 339353014 345056426 347912026 347980633 353829047 356757247 362386024 362394032 363110072 371599228 372341684 381046666 381799561 381807998 387832016 391041616 397613744 397692152 400983352 407722568 411168758 411177844 421622201 422464603 428274392 428283856 435481904 439162724 440040172 450327878 451217663 451227634 462699523 469907152 473889416 481853944 485926714 485937452 494104468 498280783 498291794 499276349 506153648 514660432 518919632 520047476 532112504 533269022 537682222 546718898 546826709 551352109 555344816 560051128 560618531 569463752 569476336 574289716 583941644 588877289 588890302 590053867 613268656 614493968 628860232 630116696 635442626 646122334 646136612 651597947 662549173 673002616 673017488 678706028 690112852 695824052 695961266 707658094 713514494 724772048 726220144 743198456 744683368 762093332 763599122 763615996 770070301 783012659 795384304 801966704 815445136 822337516 822355688 843244402 844929206 856548784 864682819 866410457 878325448 880080344 900655756 902435326 902455268 910083083 925378597 925399046 947778832 963707888 971853428 971874904 988208936 996561566 996583588 998552698 1021897877 1023939631 1040094952 1064225008 1066538044 1075364444 1093437796 1093653418 1102704218 1120102256 1121237062 1130739071 1138927504 1148579432 1167883288 1177754578 1177780604 1180107734 1207697491 1210110473 1257720464 1260233392 1270885252 1292244668 1292273224 1303195894 1325098346 1336327993 1346005232 1357412056 1380225704 1391648104 1391922532 1415316188 1427028988 1430130559 1486396912 1489366736 1524186664 1527198244 1527231992 1540140602 1566025318 1579296719 1605839521 1644675032 1644711376 1686488804 1689858412 1729365638 1732820914 1756650896 1760160688 1801311512 1804870652 1804910536 1820166166 1850757194 1850798092 1866441577 1897810343 1913516143 1943706856 1943749808 1976417872 1993123132 1993167176 1997105396 2043795754 2047879262 2080189904 2099943989 2133076088 2150728888 2186875592 2187306836 2205408436 2242474124 2261428169 2261478142 2297158864 2335766576 2355509156 2355561208 2360215468 2415394982 2420220946 2476803329 2481751987 2541770504 2584489336 2584546448 2606391788 2650196692 2672596927 2672655986 2714824112 2760451408 2783296208 2783845064 2830632376 2854057976 2860261118 2932979621 2957252221 3006953939 3048373328 3054396488 3054463984 3080281204 3132050636 3158523641 3158593438 3211679042 3238896661 3289350064 3372977608 3379716824 3458731276 3465641828 3494934443 3553672837 3602623024 3609741304 3609821072 3640332332 3701514388 3701596184 3732883154 3795620686 3827032286 3827786963 3887413712 3924329717 3986246264 3986334352 3994210792 4087591508 4095758524 4130377069 4199795171 4199887978 4266152176 4301457776 4373751184 4374613672 4410816872 4484948248 4522856338 4522956284 4637844211 4647110633 4711018312 4711122416 4720430936 4830789964 4840441892 4953606658 4963394293 4963503974 5083541008 5168978672 5212783576 5300393384 5345193854 5345311972 5481088613 5492039839 5567690128 5661264752 5708115952 5720522236 5865959242 5914504442 6013907878 6015093799 6064873199 6108792976 6160562408 6264101272 6317047282 6317186876 6423358084 6477650179 6477793322 6490592537 6745955216 6759433648 6917462552 6931283656 6989868886 7107345674 7167577417 7219482608 7280664664 7288040903 7403028776 7403192368 7465766308 7591241372 7654064572 7655573926 7670700271 7848659434 7972492528 7988421584 8175183016 8191517048 8260754138 8399590342 8399775956 8470773311 8613139249 8749227344 8821633744 8969896496 9045712676 9045912568 9275688422 9294221266 9422036624 9440861872 9530515027 9661579928 9680883784 9907213316 9926788586 9927007948 10010913913 10179164567 10425567152 10600786768 10690387708 10690623944 10962177226 10984079678 11240876647 11263335941 11441044472 11731918484 11829008884 12027815756 12030187598 12129746398 12321124816 12528202544 12634094564 12634373752 12846716168 12955300358 12955586644 12981185074 13284672401 13311215203 13834925104 13862567312 13979737772 14214691348 14335154834 14561329328 14576081806 14699607923 14806057552 14931532616 15182482744 15308129144 15311147852 15341400542 15697318868 15731436149 16350366032 16383034096 16521508276 16799180684 16799551912 16941546622 17226278498 17372263909 18091425352 18091825136 18551376844 18588442532 19061030054 19323159856 19361767568 19814426632 19853577172 19854015896 20021827826 20358329134 20530857347 20875913773 21048677573 21380775416 21381247888 21924354452 21968159356 22481753294 22526671882 22882088944 23463836968 23658017768 24055631512 24060375196 24259492796 24875709859 25268189128 25268747504 25693432336 25910600716 25911173288 25962370148 26569344802 26622430406 27299271857 27959475544 28429382696 28670309668 29152163612 29398566197 29399215846 29863065232 30364965488 30616258288 30622295704 30682801084 31394637736 31462872298 32262775831 32529774431 33043016552 33076493329 33598361368 33599103824 33883093244 34452556996 34743760051 34744527818 36182850704 37102753688 37176885064 38122060108 38444278873 39090401207 39628853264 39707154344 39708031792 40043655652 40716658268 41061714694 41751827546 42097355146 42105656593 42761550832 43848708904 43936318712 44963506588 45053343764 45434147759 46197746881 46927673936 47316035536 48111263024 48120750392 48518985592 49751419718 50536378256 51016286321 51118216963 51821201432 51822346576 51924740296 53138689604 53244860812 53694901897 54597337223 54598543714 55918951088 56858765392 57340619336 58304327224 58797132394 58798431692 60291974743 60412438229 61244591408 61365602168 62789275472 62925744596 64525551662 65059548862 66086033104 66152986658 66713605189 67196722736 67766186488 68905113992 69487520102 69489055636 71254151969 71396517907 74205507376 74353770128 76244120216 76888557746 78180802414 78843351587 79414308688 80087311304 81433316536 82123429388 83503655092 84194710292 84211313186 84377702981 87697417808 87872637424 89927013176 90106687528 90868295518 92395493762 93178506421 94744531739 96241500784 97037971184 99502839436 102032572642 102236433926 103642402864 103849480592 106277379208 106489721624 107389803794 109194674446 109197087428 110120053043 111970810237 114681238672 116608654448 117594264788 117596863384 120583949486 120824876458 122731204336 123896695351 125851489192 129051103324 130119097724 132305973316 133427210378 135532372976 137810227984 138975040204 138978111272 142508303938 142793035814 146131396411 146423367233 152488240432 153777115492 156361604828 157686703174 160174622608 162866633072 164246858776 167007310184 168389420584 168422626372 168755405962 173045797639 179854026352 180213375056 181736591036 184790987524 186357012842 189489063478 191094902999 199005678872 204065145284 204472867852 212554758416 212979443248 214779607588 218389348892 218394174856 220240106086 223941620474 225839430817 231535453303 235188529576 235193726768 241167898972 241649752916 247793390702 251702978384 258102206648 260238195448 264611946632 266854420756 273632808449 277950080408 277956222544 285016607876 285586071628 292262792822 292846734466 307554230984 312723209656 315373406348 323384228167 328493717552 334014620368 336778841168 336845252744 337510811924 346091595278 354890534141 357827518741 363473182072 369581975048 372714025684 378978126956 382181360561 382189805998 398011357744 408130290568 408945735704 422887067603 429559215176 429994413277 436778697784 436788349712 440480212172 447883240948 451678861634 463070906606 470377059152 482335797944 483299505832 495586781404 499775625349 508175215691 516204413296 520476390896 529223893264 533708841512 547265616898 555900160816 562300386593 570033215752 571172143256 584525585644 585693468932 590643920867 600570709453 615108461968 625446419312 630746812696 646768456334 663211722173 664536820519 673690505488 675021623848 692183190556 709781068282 715655037482 726946364144 739163950096 745428051368 757956253912 764362721122 764379611996 783795671659 785361696977 816260581136 817891471408 845774135206 859118430352 859988826554 867276867457 873557395568 880960424344 895766481896 903357723268 926141813212 928154732791 964671595888 966599011664 991173562808 999551250698 1016350431382 1024963570631 1067417683024 1094531233796 1124600773186 1140066431504 1142344286512 1169051171288 1171386937864 1181287841734 1201141418906 1211320583473 1231678912607 1261493625392 1293536912668 1326423444346 1329073641038 1350043247696 1384366381112 1419562136564 1431310074964 1490856102736 1515912507824 1528725442244 1528759223992 1567591343318 1570723393954 1610657039563 1691548270412 1719977653108 1734553734914 1761920848688 1791532963792 1806715446536 1852283626424 1856309465582 1903503774029 1982347125616 1999102501396 2032700862764 2049927141262 2189062467592 2249201546372 2338102342576 2342773875728 2362575683468 2402282837812 2422641166946 2463357825214 2484233738987 2587073825336 2652846888692 2658147282076 2768732762224 2839124273128 2862620149928 3009960892939 3057450884488 3057518447984 3135182686636 3141446787908 3221314079126 3383096540824 3439955306216 3469107469828 3557226509837 3613430893072 3704567252848 3712618931164 3807007548058 3936102706151 3998205002792 4065401725528 4099854282524 4203994966171 4378124935184 4498403092744 4651757743633 4725151366936 4804565675624 4845282333892 4926715650428 4968467477974 5174147650672 5305693777384 5316294564152 5497531878839 5589927372601 5678248546256 5725240299856 6019921785878 6114901768976 6270365373272 6282893575816 6442628158252 6497083129537 6606277803983 6766193081648 6879910612432 6938214939656 7114453019674 7309905025709 7425237862328 7614015096116 7872205412302 7996410005584 8130803451056 8199708565048 8407989932342 8621752388249 8638978666747 8996806185488 9303515487266 9450302733872 9609131351248 9690564667784 9853431300856 9936934955948 10209702060701 10611387554768 10632589128304 10995063757678 11179854745202 11274599276941 12039843571756 12540730746544 12565787151632 12885256316504 12994166259074 13212555607966 13324526418203 13876429879312 14228906039348 14619810051418 14850475724656 15228030192232 15744410824604 16399417130096 16815979864684 17243504776498 17277957333494 18607030974532 19381129335568 19706862601712 19873869911896 20419404121402 20938541514319 21990127515356 22359709490404 22549198553882 24079687143512 25770512633008 25988332518148 26425111215932 26649052836406 28457812078696 29239620102836 30456060384464 31488821649208 33631959729368 34487009552996 34555914666988 37214061949064 39129491608207 39747739823792 40838808242804 41877083028638 43980255030712 44719418980808 45098397107764 46243944627881 48159374287024 51169335179963 51976665036296 52850222431864 53298105672812 56915624157392 58479240205672 60472850667229 62977643298416 67263919458736 68974019105992 69111829333976 71467914424907 72669055843813 74428123898128 78258983216414 81677616485608 83754166057276 87960510061424 89438837961616 90196794215528 92487889255762 95028765334217 102338670359926 103953330072592 105700444863728 106596211345624 112306722667711 116958480411344 120945701334458 137948038211984 138223658667952 142935828849814 145338111687626 146569790600233 156517966432828 163355232971216 167508332114552 180393588431056 184975778511524 190057530668434 204677340719852 213192422691248 224613445335422 241891402668916 285871657699628 290676223375252 293139581200466 313035932865656 335016664229104 369951557023048 380115061336868 409354681439704 449226890670844 483782805337832 508683390906691 571743315399256 581352446750504 586279162400932 626071865731312 665201357339519 739903114046096 760230122673736 786147058673977 818709362879408 898453781341688 967565610675664 1017366781813382 1143486630798512 1162704893501008 1172558324801864 1235373949344821 1330402714679038 1520460245347472 1572294117347954 1796907562683376 2034733563626764 2345116649603728 2470747898689642 2660805429358076 3144588234695908 4069467127253528 4941495797379284 5321610858716152 6289176469391816 8138934254507056 8647617645413747 9882991594758568 10643221717432304 12578352938783632 17295235290827494 19765983189517136 34590470581654988 69180941163309976 138361882326619952
- Sum of all divisors σ(n): 393221292126566400
- Sum of proper divisors (its aliquot sum) s(n): 254859409799946448
- 138361882326619952 is an abundant number, because the sum of its proper divisors (254859409799946448) is greater than itself. Its abundance is 116497527473326496
Bases of 138361882326619952
- Binary: 1111010111000111101100110000111101000100001010111001100002
- Hexadecimal: 0x1EB8F661E885730
- Base-36: 11UD6Z8ZBYNK
Squares and roots of 138361882326619952
- 138361882326619952 squared (1383618823266199522) is 19144010480965426621619921044482304
- 138361882326619952 cubed (1383618823266199523) is 2648801325426917388680658721218998070928727997329408
-
The
square root of 138361882326619952 is 371970270.7564408997 -
The
cube root of 138361882326619952 is 517216.2413358567
Scales and comparisons
How big is 138361882326619952?- 138,361,882,326,619,952 seconds is equal to 4,399,479,876 years, 30 weeks, 2 days, 14 hours, 52 minutes, 32 seconds.
-
To count from 1 to 138,361,882,326,619,952 would take you about thirteen billion, one hundred ninety-eight million, four hundred thirty-nine thousand, six hundred twenty-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 138361882326619952 cubic inches would be around 43101.4 feet tall.
Recreational maths with 138361882326619952
- 138361882326619952 backwards is 259916623288163831
- The number of decimal digits it has is: 18
- The sum of 138361882326619952's digits is 83
- 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 138361882326619952 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138361882326619952 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138361882326619952/
Chicago style:
Numbermatics. 2024. "Number 138361882326619952 - Facts about the integer". https://numbermatics.com/n/138361882326619952/
The information we have on file for 138361882326619952 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 138361882326619952, math, Factors of 138361882326619952, curriculum, school, college, exams, university, Prime factorization of 138361882326619952, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixty-one trillion, eight hundred eighty-two billion, three hundred twenty-six million, six hundred nineteen thousand, nine hundred fifty-two.