137939520305664
137,939,520,305,664 is an even composite number composed of six prime numbers multiplied together.
137939520305664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137939520305664:
29 × 33 × 72 × 112 × 31 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 31 × 233 × 233)See below for interesting mathematical facts about the number 137939520305664 from the Numbermatics database.
Names of 137939520305664
- Cardinal: 137939520305664 can be written as One hundred thirty-seven trillion, nine hundred thirty-nine billion, five hundred twenty million, three hundred five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.37939520305664 × 1014
Factors of 137939520305664
Divisors of 137939520305664
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 49 54 56 62 63 64 66 72 77 84 88 93 96 98 99 108 112 121 124 126 128 132 144 147 154 168 176 186 189 192 196 198 216 217 224 231 233 242 248 252 256 264 279 288 294 297 308 336 341 352 363 372 378 384 392 396 432 434 441 448 462 466 484 496 504 512 528 539 558 576 588 594 616 651 672 682 693 699 704 726 744 756 768 784 792 837 847 864 868 882 896 924 932 968 992 1008 1023 1056 1078 1089 1116 1152 1176 1188 1232 1302 1323 1344 1364 1386 1398 1408 1452 1488 1512 1519 1536 1568 1584 1617 1631 1674 1694 1728 1736 1764 1792 1848 1864 1936 1953 1984 2016 2046 2079 2097 2112 2156 2178 2232 2304 2352 2376 2387 2464 2541 2563 2604 2646 2688 2728 2772 2796 2816 2904 2976 3024 3038 3069 3136 3168 3234 3262 3267 3348 3388 3456 3472 3528 3584 3696 3728 3751 3872 3906 3968 4032 4092 4158 4194 4224 4312 4356 4464 4557 4608 4704 4752 4774 4851 4893 4928 5082 5126 5208 5292 5376 5456 5544 5592 5632 5808 5859 5929 5952 6048 6076 6138 6272 6291 6336 6468 6524 6534 6696 6776 6912 6944 7056 7161 7223 7392 7456 7502 7623 7689 7744 7812 7936 8064 8184 8316 8388 8448 8624 8712 8928 9114 9207 9408 9504 9548 9702 9786 9856 10164 10252 10416 10584 10752 10912 11088 11184 11253 11417 11616 11718 11858 11904 12096 12152 12276 12544 12582 12672 12936 13048 13068 13392 13552 13671 13824 13888 14112 14322 14446 14553 14679 14784 14912 15004 15246 15378 15488 15624 15872 16128 16368 16632 16709 16776 16896 17248 17424 17787 17856 17941 18228 18414 18816 19008 19096 19404 19572 19712 20328 20504 20832 21168 21483 21669 21824 22176 22368 22506 22834 22869 23067 23232 23436 23716 23808 24192 24304 24552 25088 25164 25344 25872 26096 26136 26257 26784 27104 27342 27776 28193 28224 28644 28892 29106 29358 29568 29824 30008 30492 30756 30976 31248 32256 32736 33264 33418 33552 33759 34251 34496 34848 35574 35712 35882 36456 36828 37632 38016 38192 38808 39144 39424 40656 41008 41013 41664 42336 42966 43338 43648 44037 44352 44736 45012 45668 45738 46134 46464 46872 47432 47616 48384 48608 49104 50127 50328 50561 50688 51744 52192 52272 52514 53361 53568 53823 54208 54289 54684 55552 56386 56448 57288 57784 58212 58716 59136 59648 60016 60984 61512 61952 62496 64449 65007 65472 66528 66836 67104 67518 68502 68992 69201 69696 71148 71424 71764 72912 73656 75264 76032 76384 77616 78288 78771 79453 81312 82016 82026 83328 84579 84672 85932 86676 87296 88074 88704 89472 90024 91336 91476 92268 92928 93744 94864 96768 97216 98208 100254 100656 101122 101277 102753 103488 104384 104544 105028 106722 107136 107646 108416 108578 109368 111104 112772 112896 114576 115568 116424 117432 118272 119296 120032 121968 123024 124992 125587 128898 130014 130944 133056 133672 134208 135036 137004 137984 138402 139392 142296 142848 143528 145824 147312 150381 151683 152064 152768 155232 156576 157542 158906 160083 161469 162624 162867 164032 164052 166656 169158 169344 171864 173352 174592 176148 177408 178944 180048 182672 182952 183799 184536 185856 187488 189728 194432 195021 196416 197351 200508 201312 202244 202554 205506 206976 208768 209088 210056 213444 214272 215292 216832 217156 218736 225544 225792 229152 231136 232848 234864 236313 238359 240064 243936 246048 249984 251174 253737 257796 260028 261888 266112 267344 268416 270072 274008 275968 276804 278784 284592 287056 291648 294624 300762 303366 305536 308259 310464 313152 315084 317812 320166 322938 325248 325734 328064 328104 333312 338316 338688 343728 346704 352296 353927 354816 357888 360096 365344 365904 367598 369072 374976 376761 379456 380023 388864 390042 392832 394702 401016 402624 404488 405108 411012 413952 417536 418176 420112 426888 428544 430584 433664 434312 437472 451088 451143 455049 458304 462272 465696 469728 472626 476718 480128 484407 487872 488601 492096 499968 502348 507474 515592 520056 523776 532224 534688 536832 540144 548016 551397 553608 556171 557568 569184 574112 583296 589248 592053 597179 601524 606732 611072 616518 620928 626304 630168 635624 640332 645876 650496 651468 656128 656208 676632 677376 687456 693408 704592 707854 708939 715077 720192 730688 731808 735196 738144 749952 753522 758912 760046 761211 777728 780084 785664 789404 802032 805248 808976 810216 822024 827904 835072 836352 840224 853776 861168 868624 873983 874944 902176 902286 910098 916608 924544 931392 939456 945252 953436 960256 968814 975744 977202 984192 999936 1004696 1014948 1031184 1040112 1061781 1064448 1069376 1073664 1080288 1096032 1102794 1107216 1112342 1130283 1138368 1140069 1148224 1166592 1178496 1184106 1194358 1203048 1213464 1222144 1233036 1241856 1252608 1260336 1271248 1280664 1291752 1300992 1302936 1312256 1312416 1353264 1365147 1374912 1381457 1386816 1409184 1415708 1417878 1430154 1440384 1461376 1463616 1465803 1470392 1476288 1499904 1507044 1517824 1520092 1522422 1560168 1571328 1578808 1604064 1610496 1617952 1620432 1644048 1654191 1668513 1672704 1680448 1682959 1707552 1722336 1737248 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11780713 11810304 12056352 12160736 12179376 12235762 12433113 12481344 12540759 12630464 12741372 12832512 12943616 12963456 13137938 13152384 13233528 13348104 13443584 13463672 13563396 13660416 13680828 13778688 13897984 13983728 14209272 14332296 14434816 14436576 14561568 15016617 15124032 15146631 15254976 15501024 15572788 15635232 15731694 15960966 16075136 16123833 16239168 16498944 16577484 16641792 16721012 16988496 17161848 17284608 17536512 17644704 17715456 17797472 18084528 18241104 18353643 18512549 18945696 19109728 19112058 19248768 19415424 19706907 19728576 19850292 20022156 20165376 20195508 20339968 20490624 20521242 20668032 20846976 20975592 20998656 21281288 21313908 21498444 21652224 21842352 22103312 22546944 22651328 22686048 22882464 23359182 23452848 23526272 23561426 23597541 23941449 24112704 24321472 24358752 24471524 24866226 24962688 25081518 25260928 25482744 25665024 25887232 25926912 26275876 26304768 26467056 26696208 26927344 27126792 27320832 27361656 27557376 27795968 27967456 28418544 28664592 28873152 29123136 29261771 30033234 30248064 30293262 30509952 31002048 31145576 31270464 31463388 31921932 32150272 32247666 32478336 32997888 33154968 33283584 33442024 33976992 34323696 35038773 35289408 35342139 35430912 35594944 36169056 36482208 36707286 37025098 37299339 37622277 37891392 38219456 38224116 38497536 38830848 39413814 39457152 39700584 40044312 40330752 40391016 40679936 40981248 41042484 41336064 41693952 41951184 42562576 42627816 42825167 42996888 43304448 43684704 44206624 45302656 45372096 45439893 45764928 45982783 46718364 46905696 47052544 47122852 47195082 47882898 48225408 48642944 48717504 48943048 49732452 49925376 50163036 50521856 50965488 51853824 52551752 52609536 52934112 53392416 53854688 54253584 54723312 55060929 55537647 55934912 56837088 57329184 57746304 58246272 58523542 59120721 60066468 60496128 60586524 61019904 62004096 62291152 62540928 62926776 63843864 64300544 64495332 64956672 66309936 66884048 67953984 68647392 70077546 70578816 70684278 71189888 71824347 72338112 72964416 73414572 74050196 74598678 75244554 75782784 76438912 76448232 76995072 77661696 78827628 78914304 79401168 80088624 80782032 81962496 82084968 82464991 82672128 83387904 83902368 85125152 85255632 85650334 85993776 87369408 87785313 88413248 90605312 90744192 90879786 91529856 91965566 93436728 93811392 94105088 94245704 94390164 95765796 96450816 97285888 97435008 97886096 99464904 99850752 100326072 101043712 101930976 105103504 105116319 105868224 106026417 106784832 107709376 108507168 109446624 110121858 111075294 111869824 112866831 113674176 114658368 115492608 116492544 117047084 118241442 120132936 120992256 121173048 122039808 124008192 124582304 125081856 125853552 127687728 128475501 128990664 129587843 129913344 132619872 133768096 135907968 137294784 137948349 140155092 141157632 141368556 142379776 143648694 144676224 145928832 146829144 148100392 149197356 150489108 151565568 152877824 152896464 157655256 157828608 158802336 160177248 161564064 164169936 164929982 165182787 166612941 167804736 170250304 170511264 171300668 171987552 174738816 175570626 176826496 177362163 181210624 181488384 181759572 183059712 183931132 186873456 187622784 188491408 188780328 191531592 192901632 194571776 194870016 195772192 198929808 200652144 203638039 203861952 210207008 210232638 211736448 212052834 213569664 215418752 217014336 218893248 220243716 222150588 223739648 225733662 227348352 229316736 230985216 232985088 234094168 236482884 240265872 242346096 247394973 248016384 249164608 250163712 251707104 255375456 256951002 257981328 259175686 263355939 265239744 267536192 271815936 274589568 275896698 280310184 282315264 282737112 284759552 287297388 289352448 291857664 293658288 296200784 298394712 300978216 303131136 305755648 305792928 315310512 317604672 318079251 320354496 321879481 323128128 328339872 329859964 330365574 333225882 335609472 340500608 341022528 342601336 343975104 349477632 351141252 353652992 354724326 362976768 363519144 366119424 367862264 373746912 375245568 376982816 377560656 383063184 385426503 388763529 389740032 391544384 397859616 401304288 407276078 407723904 413845047 420414016 420465276 423472896 424105668 427139328 430837504 434028672 437786496 440487432 444301176 447479296 451467324 454696704 458633472 468188336 472965768 480531744 484692192 494789946 498329216 499838823 503414208 510750912 513902004 515962656 518351372 526711878 530479488 535072384 543631872 549179136 551793396 560620368 565474224 574594776 578704896 583715328 587316576 592401568 596789424 601956432 610914117 611585856 630621024 635209344 636158502 640708992 643758962 646256256 656679744 659719928 660731148 666451764 671218944 681001216 682045056 685202672 687950208 698955264 702282504 707305984 709448652 727038288 735724528 742184919 747493824 750491136 753965632 755121312 766126368 770853006 777527058 783088768 790067817 795719232 802608576 814552156 815447808 827690094 840828032 840930552 846945792 848211336 854278656 861675008 868057344 875572992 880974864 888602352 902934648 907114901 909393408 917266944 936376672 945931536 961063488 965638443 969384384 989579892 996658432 999677646 1006828416 1021501824 1027804008 1031925312 1036702744 1053423756 1060958976 1070144768 1098358272 1103586792 1121240736 1130948448 1149189552 1156279509 1166290587 1174633152 1184803136 1193578848 1203912864 1221828234 1223171712 1241535141 1261242048 1270418688 1272317004 1281417984 1287517924 1292512512 1313359488 1319439856 1321462296 1332903528 1342437888 1362002432 1364090112 1370405344 1375900416 1404565008 1418897304 1425466273 1454076576 1471449056 1484369838 1494987648 1507931264 1510242624 1532252736 1541706012 1555054116 1566177536 1580135634 1591438464 1605217152 1629104312 1630895616 1655380188 1681656064 1681861104 1696422672 1736114688 1751145984 1761949728 1777204704 1805869296 1814229802 1832742351 1872753344 1891863072 1922126976 1931276886 1938768768 1979159784 1993316864 1999355292 2013656832 2043003648 2055608016 2063850624 2073405488 2106847512 2121917952 2140289536 2207173584 2226554757 2242481472 2261896896 2298379104 2312559018 2332581174 2349266304 2369606272 2387157696 2407825728 2443656468 2446343424 2483070282 2522484096 2540837376 2544634008 2562835968 2575035848 2585025024 2626718976 2638879712 2642924592 2665807056 2721344703 2728180224 2740810688 2751800832 2809130016 2837794608 2850932546 2896915329 2908153152 2942898112 2968739676 2989975296 3015862528 3020485248 3064505472 3083412024 3110108232 3132355072 3160271268 3182876928 3210434304 3258208624 3310760376 3363312128 3363722208 3392845344 3498871761 3523899456 3554409408 3611738592 3628459604 3665484702 3745506688 3783726144 3844253952 3862553772 3877537536 3958319568 3998710584 4027313664 4086007296 4111216032 4127701248 4146810976 4213695024 4276398819 4414347168 4453109514 4484962944 4523793792 4596758208 4625118036 4665162348 4698532608 4739212544 4774315392 4815651456 4887312936 4892686848 4966140564 5044968192 5089268016 5150071696 5253437952 5277759424 5285849184 5331614112 5442689406 5481621376 5498227053 5618260032 5675589216 5701865092 5793830658 5816306304 5885796224 5937479352 5979950592 6031725056 6040970496 6129010944 6166824048 6220216464 6320542536 6365753856 6420868608 6516417248 6621520752 6727444416 6785690688 6997743522 7047798912 7108818816 7223477184 7256919208 7330969404 7491013376 7567452288 7688507904 7725107544 7755075072 7916639136 7997421168 8164034109 8222432064 8255402496 8293621952 8427390048 8552797638 8690745987 8828694336 8906219028 8969925888 9047587584 9193516416 9250236072 9330324696 9397065216 9478425088 9548630784 9631302912 9774625872 9932281128 9978263911 10089936384 10178536032 10300143392 10555518848 10571698368 10663228224 10885378812 10963242752 10996454106 11236520064 11351178432 11403730184 11587661316 11632612608 11771592448 11874958704 12081940992 12258021888 12333648096 12440432928 12641085072 12829196457 13032834496 13243041504 13454888832 13571381376 13995487044 14095597824 14217637632 14446954368 14513838416 14661938808 14982026752 15134904576 15450215088 15833278272 15994842336 16328068218 16444864128 16587243904 16854780096 17105595276 17381491974 17657388672 17812438056 17939851776 18095175168 18387032832 18500472144 18660649392 19097261568 19262605824 19549251744 19864562256 19956527822 20357072064 20600286784 21111037696 21143396736 21326456448 21770757624 21926485504 21992908212 22473040128 22702356864 22807460368 23175322632 23265225216 23543184896 23749917408 24492102327 24667296192 24880865856 25282170144 25658392914 26065668992 26486083008 26909777664 27142762752 27990974088 28191195648 28435275264 28893908736 29027676832 29323877616 29934791733 30269809152 30900430176 31666556544 31989684672 32656136436 32889728256 33174487808 33709560192 34211190552 34762983948 35314777344 35624876112 36774065664 37000944288 37321298784 38487589371 39098503488 39729124512 39913055644 40714144128 41200573568 42222075392 42286793472 42652912896 43541515248 43985816424 44946080256 45404713728 45614920736 46350645264 47499834816 48984204654 49334592384 49761731712 50564340288 51316785828 52131337984 52972166016 53819555328 54285525504 55981948176 57787817472 58055353664 58647755232 59869583466 61800860352 63333113088 63979369344 65312272872 65779456512 66348975616 67419120384 68422381104 69525967896 70629554688 71249752224 74001888576 74642597568 76975178742 78197006976 79458249024 79826111288 81428288256 82401147136 84573586944 85305825792 87083030496 87971632848 89804375199 90809427456 91229841472 92701290528 94999669632 97968409308 98669184768 99523463424 101128680576 102633571656 104262675968 105944332032 111963896352 116110707328 117295510464 119739166932 123601720704 126666226176 127958738688 130624545744 134838240768 136844762208 139051935792 142499504448 148003777152 149285195136 153950357484 156394013952 158916498048 159652222576 162856576512 164802294272 174166060992 175943265696 179608750398 182459682944 185402581056 189999339264 195936818616 197338369536 199046926848 202257361152 205267143312 211888664064 223927792704 232221414656 234591020928 239478333864 247203441408 255917477376 261249091488 269413125597 273689524416 278103871584 284999008896 296007554304 298570390272 307900714968 312788027904 317832996096 319304445152 348332121984 351886531392 359217500796 364919365888 370805162112 379998678528 391873637232 404514722304 410534286624 447855585408 464442829312 469182041856 478956667728 494406882816 522498182976 538826251194 547379048832 556207743168 569998017792 592015108608 597140780544 615801429936 635665992192 638608890304 696664243968 703773062784 718435001592 729838731776 741610324224 783747274464 821068573248 895711170816 938364083712 957913335456 1044996365952 1077652502388 1094758097664 1112415486336 1139996035584 1231602859872 1277217780608 1393328487936 1407546125568 1436870003184 1483220648448 1567494548928 1642137146496 1791422341632 1915826670912 2089992731904 2155305004776 2189516195328 2224830972672 2463205719744 2554435561216 2815092251136 2873740006368 3134989097856 3284274292992 3831653341824 4179985463808 4310610009552 4449661945344 4926411439488 5108871122432 5747480012736 6269978195712 6568548585984 7663306683648 8621220019104 9852822878976 11494960025472 12539956391424 15326613367296 17242440038208 19705645757952 22989920050944 34484880076416 45979840101888 68969760152832 137939520305664
- Sum of all divisors σ(n): 541242440766720
- Sum of proper divisors (its aliquot sum) s(n): 403302920461056
- 137939520305664 is an abundant number, because the sum of its proper divisors (403302920461056) is greater than itself. Its abundance is 265363400155392
Bases of 137939520305664
- Binary: 111110101110100100011000001101110111010000000002
- Hexadecimal: 0x7D748C1BBA00
- Base-36: 1CW8JGWAO0
Squares and roots of 137939520305664
- 137939520305664 squared (1379395203056642) is 19027311262156690975990480896
- 137939520305664 cubed (1379395203056643) is 2624618188208452187652321249848564272594944
-
The
square root of 137939520305664 is 11744765.6556299155 -
The
cube root of 137939520305664 is 51668.9421971673
Scales and comparisons
How big is 137939520305664?- 137,939,520,305,664 seconds is equal to 4,386,050 years, 3 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,939,520,305,664 would take you about ten million, nine hundred sixty-five thousand, one hundred twenty-five 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 137939520305664 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137939520305664
- 137939520305664 backwards is 466503025939731
- 137939520305664 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137939520305664's digits is 63
- More coming soon!
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"Number 137939520305664 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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The information we have on file for 137939520305664 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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