138742667165952000
138,742,667,165,952,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138742667165952000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138742667165952000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138742667165952000:
211 × 32 × 53 × 372 × 3533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 37 × 37 × 353 × 353 × 353)See below for interesting mathematical facts about the number 138742667165952000 from the Numbermatics database.
Names of 138742667165952000
- Cardinal: 138742667165952000 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, six hundred sixty-seven billion, one hundred sixty-five million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38742667165952 × 1017
Factors of 138742667165952000
Divisors of 138742667165952000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 37 40 45 48 50 60 64 72 74 75 80 90 96 100 111 120 125 128 144 148 150 160 180 185 192 200 222 225 240 250 256 288 296 300 320 333 353 360 370 375 384 400 444 450 480 500 512 555 576 592 600 640 666 706 720 740 750 768 800 888 900 925 960 1000 1024 1059 1110 1125 1152 1184 1200 1280 1332 1369 1412 1440 1480 1500 1536 1600 1665 1765 1776 1800 1850 1920 2000 2048 2118 2220 2250 2304 2368 2400 2560 2664 2738 2775 2824 2880 2960 3000 3072 3177 3200 3330 3530 3552 3600 3700 3840 4000 4107 4236 4440 4500 4608 4625 4736 4800 5120 5295 5328 5476 5550 5648 5760 5920 6000 6144 6354 6400 6660 6845 7060 7104 7200 7400 7680 8000 8214 8325 8472 8825 8880 9000 9216 9250 9472 9600 10240 10590 10656 10952 11100 11296 11520 11840 12000 12321 12708 12800 13061 13320 13690 13875 14120 14208 14400 14800 15360 15885 16000 16428 16650 16944 17650 17760 18000 18432 18500 18944 19200 20535 21180 21312 21904 22200 22592 23040 23680 24000 24642 25416 25600 26122 26475 26640 27380 27750 28240 28416 28800 29600 30720 31770 32000 32856 33300 33888 34225 35300 35520 36000 37000 37888 38400 39183 41070 41625 42360 42624 43808 44125 44400 45184 46080 47360 48000 49284 50832 51200 52244 52950 53280 54760 55500 56480 56832 57600 59200 61605 63540 64000 65305 65712 66600 67776 68450 70600 71040 72000 74000 75776 76800 78366 79425 82140 83250 84720 85248 87616 88250 88800 90368 92160 94720 96000 98568 101664 102675 104488 105900 106560 109520 111000 112960 113664 115200 117549 118400 123210 124609 127080 128000 130610 131424 132375 133200 135552 136900 141200 142080 144000 148000 153600 156732 158850 164280 166500 169440 170496 171125 175232 176500 177600 180736 189440 192000 195915 197136 203328 205350 208976 211800 213120 219040 222000 225920 227328 230400 235098 236800 246420 249218 254160 256000 261220 262848 264750 266400 271104 273800 282400 284160 288000 296000 308025 313464 317700 326525 328560 333000 338880 340992 342250 350464 353000 355200 361472 373827 378880 384000 391830 394272 397125 406656 410700 417952 423600 426240 438080 444000 451840 460800 470196 473600 483257 492840 498436 508320 513375 522440 525696 529500 532800 542208 547600 564800 568320 576000 587745 592000 616050 623045 626928 635400 653050 657120 666000 677760 681984 684500 700928 706000 710400 722944 747654 768000 783660 788544 794250 813312 821400 835904 847200 852480 876160 888000 903680 940392 947200 966514 979575 985680 996872 1016640 1026750 1044880 1051392 1059000 1065600 1084416 1095200 1121481 1129600 1136640 1152000 1175490 1184000 1232100 1246090 1253856 1270800 1306100 1314240 1332000 1355520 1369000 1401856 1412000 1420800 1449771 1495308 1540125 1567320 1577088 1588500 1626624 1632625 1642800 1671808 1694400 1704960 1752320 1776000 1807360 1869135 1880784 1894400 1933028 1959150 1971360 1993744 2033280 2053500 2089760 2102784 2118000 2131200 2168832 2190400 2242962 2259200 2304000 2350980 2368000 2416285 2464200 2492180 2507712 2541600 2612200 2628480 2664000 2711040 2738000 2803712 2824000 2841600 2899542 2938725 2990616 3080250 3115225 3134640 3154176 3177000 3253248 3265250 3285600 3343616 3388800 3409920 3504640 3552000 3614720 3738270 3761568 3866056 3918300 3942720 3987488 4066560 4107000 4179520 4205568 4236000 4262400 4349313 4380800 4485924 4518400 4610533 4701960 4736000 4832570 4897875 4928400 4984360 5015424 5083200 5224400 5256960 5328000 5422080 5476000 5607405 5648000 5683200 5799084 5877450 5981232 6160500 6230450 6269280 6308352 6354000 6506496 6530500 6571200 6687232 6777600 7009280 7104000 7248855 7476540 7523136 7732112 7836600 7885440 7974976 8133120 8214000 8359040 8411136 8472000 8524800 8698626 8761600 8971848 9036800 9221066 9345675 9403920 9472000 9665140 9795750 9856800 9968720 10030848 10166400 10448800 10513920 10656000 10844160 10952000 11214810 11296000 11598168 11754900 11962464 12081425 12321000 12460900 12538560 12616704 12708000 13061000 13142400 13374464 13555200 13831599 14018560 14208000 14497710 14693625 14953080 15046272 15464224 15576125 15673200 15770880 15949952 16266240 16428000 16718080 16944000 17049600 17397252 17523200 17943696 18073600 18442132 18691350 18807840 19330280 19591500 19713600 19937440 20061696 20332800 20897600 21027840 21312000 21746565 21904000 22429620 22592000 23052665 23196336 23509800 23924928 24162850 24642000 24921800 25077120 25233408 25416000 26122000 26284800 26748928 27110400 27663198 28037025 28416000 28995420 29387250 29906160 30092544 30928448 31152250 31346400 31541760 31899904 32532480 32856000 33436160 33888000 34794504 35046400 35887392 36244275 36884264 37382700 37615680 38660560 39183000 39427200 39874880 40123392 40665600 41494797 41795200 42055680 42624000 43493130 43808000 43986977 44859240 45184000 46105330 46392672 46728375 47019600 47849856 48325700 49284000 49843600 50154240 50832000 52244000 52569600 54220800 55326396 56074050 57990840 58774500 59812320 60185088 60407125 61856896 62304500 62692800 63083520 63799808 65712000 66872320 67776000 69157995 69589008 70092800 71774784 72488550 73768528 74765400 75231360 77321120 78366000 78854400 79749760 80246784 81331200 82989594 83590400 85248000 86986260 87616000 87973954 89718480 90368000 92210660 92785344 93456750 94039200 95699712 96651400 98568000 99687200 100308480 101664000 104488000 105139200 108732825 110652792 112148100 115263325 115981680 117549000 119624640 120370176 120814250 123713792 124609000 125385600 126167040 127599616 131424000 131960931 133744640 135552000 138315990 139178016 140185125 143549568 144977100 147537056 149530800 150462720 154642240 156732000 157708800 159499520 162662400 165979188 167180800 170589721 173972520 175232000 175947908 179436960 181221375 184421320 185570688 186913500 188078400 191399424 193302800 197136000 199374400 200616960 203328000 207473985 208976000 210278400 217465650 219934885 221305584 224296200 230526650 231963360 235098000 239249280 240740352 241628500 247427584 249218000 250771200 255199232 262848000 263921862 271104000 276631980 278356032 280370250 287099136 289954200 295074112 299061600 300925440 309284480 313464000 315417600 318999040 331958376 334361600 341179442 345789975 347945040 350464000 351895816 358873920 362442750 368842640 371141376 373827000 376156800 382798848 386605600 394272000 395882793 398748800 401233920 406656000 414947970 417952000 434931300 439869770 442611168 448592400 461053300 463926720 470196000 478498560 483257000 494855168 498436000 501542400 511769163 525696000 527843724 543664125 553263960 556712064 560740500 574198272 576316625 579908400 590148224 598123200 601850880 618568960 626928000 630835200 637998080 659804655 663916752 668723200 682358884 691579950 695890080 703791632 717747840 724885500 737685280 742282752 747654000 752313600 765597696 773211200 788544000 791765586 797497600 813312000 829895940 835904000 852948605 869862600 879739540 885222336 897184800 922106600 927853440 940392000 956997120 966514000 989710336 996872000 1003084800 1023538326 1037369925 1051392000 1055687448 1087328250 1099674425 1106527920 1113424128 1121481000 1148396544 1152633250 1159816800 1180296448 1196246400 1203701760 1237137920 1253856000 1275996160 1319609310 1327833504 1364717768 1383159900 1391780160 1407583264 1435495680 1449771000 1475370560 1484565504 1495308000 1504627200 1535307489 1546422400 1577088000 1583531172 1594995200 1627518149 1659791880 1671808000 1705897210 1728949875 1739725200 1759479080 1770444672 1794369600 1844213200 1855706880 1880784000 1913994240 1933028000 1979413965 1993744000 2006169600 2047076652 2074739850 2111374896 2174656500 2199348850 2213055840 2226848256 2242962000 2296793088 2305266500 2319633600 2360592896 2392492800 2474275840 2507712000 2558845815 2639218620 2655667008 2729435536 2766319800 2783560320 2815166528 2870991360 2899542000 2950741120 2969131008 2990616000 3009254400 3070614978 3092844800 3154176000 3167062344 3189990400 3255036298 3299023275 3319583760 3343616000 3411794420 3457899750 3479450400 3518958160 3540889344 3588739200 3688426400 3711413760 3761568000 3827988480 3866056000 3958827930 3987488000 4094153304 4149479700 4222749792 4264743025 4349313000 4398697700 4426111680 4453696512 4485924000 4610533000 4639267200 4721185792 4784985600 4882554447 4948551680 5015424000 5117691630 5186849625 5278437240 5311334016 5458871072 5498372125 5532639600 5567120640 5630333056 5741982720 5799084000 5901482240 5981232000 6018508800 6141229956 6185689600 6334124688 6379980800 6510072596 6598046550 6639167520 6823588840 6915799500 6958900800 7037916320 7081778688 7177478400 7376852800 7422827520 7523136000 7676537445 7732112000 7917655860 7974976000 8137590745 8188306608 8298959400 8445499584 8529486050 8698626000 8797395400 8852223360 8907393024 8971848000 9221066000 9278534400 9442371584 9569971200 9765108894 9897069825 10030848000 10235383260 10373699250 10556874480 10622668032 10917742144 10996744250 11065279200 11134241280 11260666112 11483965440 11598168000 11802964480 11962464000 12282459912 12371379200 12668249376 12794229075 13020145192 13196093100 13278335040 13647177680 13831599000 13917801600 14075832640 14163557376 14354956800 14647663341 14753705600 14845655040 15046272000 15353074890 15464224000 15835311720 15949952000 16275181490 16376613216 16495116375 16597918800 16890999168 17058972100 17397252000 17594790800 17704446720 17943696000 18442132000 18557068800 19139942400 19530217788 19794139650 20470766520 20747398500 21113748960 21245336064 21323715125 21835484288 21993488500 22130558400 22268482560 22521332224 23196336000 23605928960 23924928000 24412772235 24564919824 24742758400 25336498752 25588458150 26040290384 26392186200 26556670080 27294355360 27663198000 27835603200 28151665280 28327114752 28709913600 29295326682 29507411200 30092544000 30706149780 30928448000 31670623440 31899904000 32550362980 32753226432 32990232750 33195837600 33781998336 34117944200 34794504000 35189581600 35408893440 35887392000 36884264000 37114137600 38382687225 39060435576 39588279300 40687953725 40941533040 41494797000 42227497920 42490672128 42647430250 43670968576 43986977000 44261116800 44536965120 45042664448 46392672000 47211857920 47849856000 48825544470 49129839648 49485349125 50672997504 51176916300 52080580768 52784372400 53113340160 54588710720 55326396000 55671206400 56303330560 57419827200 58590653364 59014822400 60218171513 61412299560 61856896000 63341246880 63971145375 65100725960 65506452864 65980465500 66391675200 67563996672 68235888400 69589008000 70379163200 70817786880 71774784000 73238316705 73768528000 74228275200 76765374450 78120871152 79176558600 81375907450 81883066080 82989594000 84454995840 84981344256 85294860500 87341937152 87973954000 88522233600 90085328896 92785344000 95699712000 97651088940 98259679296 98970698250 101345995008 102353832600 104161161536 105568744800 106226680320 109177421440 110652792000 111342412800 112606661120 117181306728 118029644800 120436343026 122063861175 122824599120 123713792000 126682493760 127942290750 130201451920 131012905728 131960931000 132783350400 135127993344 136471776800 139178016000 140758326400 141635573760 143549568000 146476633410 147537056000 153530748900 156241742304 158353117200 162751814900 163766132160 165979188000 168909991680 170589721000 174683874304 175947908000 177044467200 180654514539 185570688000 191913436125 195302177880 196519358592 197941396500 202691990016 203439768625 204707665200 208322323072 211137489600 212453360640 218354842880 221305584000 222684825600 225213322240 234362613456 236059289600 240872686052 244127722350 245649198240 253364987520 255884581500 260402903840 262025811456 263921862000 265566700800 270255986688 272943553600 278356032000 281516652800 287099136000 292953266820 295074112000 301090857565 307061497800 312483484608 316706234400 325503629800 327532264320 331958376000 337819983360 341179442000 349367748608 351895816000 354088934400 361309029078 366191583525 371141376000 383826872250 390604355760 393038717184 395882793000 405383980032 406879537250 409415330400 416644646144 422274979200 424906721280 436709685760 442611168000 450426644480 468725226912 481745372104 488255444700 491298396480 506729975040 511769163000 520805807680 524051622912 527843724000 531133401600 541963543617 545887107200 556712064000 563033305600 585906533640 590148224000 602181715130 610319305875 614122995600 624966969216 633412468800 651007259600 655064528640 663916752000 675639966720 682358884000 703791632000 708177868800 722618058156 732383167050 767653744500 781208711520 786077434368 791765586000 810767960064 813759074500 818830660800 833289292288 844549958400 873419371520 885222336000 903272572695 937450453824 963490744208 976510889400 982596792960 1013459950080 1023538326000 1041611615360 1048103245824 1055687448000 1062266803200 1083927087234 1091774214400 1113424128000 1126066611200 1171813067280 1180296448000 1204363430260 1220638611750 1228245991200 1249933938432 1266824937600 1302014519200 1310129057280 1327833504000 1351279933440 1364717768000 1407583264000 1445236116312 1464766334100 1505454287825 1535307489000 1562417423040 1572154868736 1583531172000 1627518149000 1637661321600 1666578584576 1689099916800 1746838743040 1770444672000 1806545145390 1830957917625 1874900907648 1926981488416 1953021778800 1965193585920 2026919900160 2047076652000 2083223230720 2111374896000 2124533606400 2167854174468 2183548428800 2252133222400 2343626134560 2408726860520 2441277223500 2456491982400 2499867876864 2533649875200 2604029038400 2620258114560 2655667008000 2709817718085 2729435536000 2815166528000 2890472232624 2929532668200 3010908575650 3070614978000 3124834846080 3144309737472 3167062344000 3255036298000 3275322643200 3333157169152 3378199833600 3540889344000 3613090290780 3661915835250 3749801815296 3853962976832 3906043557600 3930387171840 4053839800320 4094153304000 4166446461440 4222749792000 4335708348936 4367096857600 4516362863475 4687252269120 4817453721040 4882554447000 4912983964800 4999735753728 5067299750400 5208058076800 5240516229120 5311334016000 5419635436170 5458871072000 5630333056000 5780944465248 5859065336400 6021817151300 6141229956000 6249669692160 6334124688000 6510072596000 6550645286400 6756399667200 7226180581560 7323831670500 7499603630592 7527271439125 7707925953664 7812087115200 7860774343680 8188306608000 8332892922880 8445499584000 8671416697872 8734193715200 9032725726950 9374504538240 9634907442080 9765108894000 9825967929600 9999471507456 10134599500800 10416116153600 10622668032000 10839270872340 10917742144000 11260666112000 11561888930496 11718130672800 12043634302600 12282459912000 12499339384320 12668249376000 13020145192000 13101290572800 13549088590425 14452361163120 14647663341000 14999207261184 15054542878250 15415851907328 15624174230400 15721548687360 16376613216000 16665785845760 16890999168000 17342833395744 18065451453900 18749009076480 19269814884160 19530217788000 19651935859200 20269199001600 20832232307200 21678541744680 21835484288000 22581814317375 23123777860992 23436261345600 24087268605200 24564919824000 24998678768640 25336498752000 26040290384000 26202581145600 27098177180850 28904722326240 29295326682000 29998414522368 30109085756500 30831703814656 31248348460800 32753226432000 33781998336000 34685666791488 36130902907800 37498018152960 38539629768320 39060435576000 39303871718400 41664464614400 43357083489360 43670968576000 45163628634750 46247555721984 46872522691200 48174537210400 49129839648000 49997357537280 50672997504000 52080580768000 54196354361700 57809444652480 58590653364000 60218171513000 61663407629312 62496696921600 65506452864000 67745442952125 69371333582976 72261805815600 74996036305920 77079259536640 78120871152000 78607743436800 83328929228800 86714166978720 90327257269500 92495111443968 93745045382400 96349074420800 98259679296000 101345995008000 104161161536000 108392708723400 115618889304960 117181306728000 120436343026000 123326815258624 124993393843200 131012905728000 135490885904250 138742667165952 144523611631200 149992072611840 154158519073280 156241742304000 173428333957440 180654514539000 184990222887936 187490090764800 192698148841600 196519358592000 208322323072000 216785417446800 231237778609920 234362613456000 240872686052000 249986787686400 270981771808500 277485334331904 289047223262400 308317038146560 312483484608000 346856667914880 361309029078000 369980445775872 374980181529600 385396297683200 393038717184000 416644646144000 433570834893600 462475557219840 468725226912000 481745372104000 541963543617000 554970668663808 578094446524800 616634076293120 624966969216000 693713335829760 722618058156000 749960363059200 770792595366400 867141669787200 924951114439680 937450453824000 963490744208000 1083927087234000 1109941337327616 1156188893049600 1249933938432000 1387426671659520 1445236116312000 1541585190732800 1734283339574400 1849902228879360 1874900907648000 1926981488416000 2167854174468000 2312377786099200 2774853343319040 2890472232624000 3083170381465600 3468566679148800 3749801815296000 3853962976832000 4335708348936000 4624755572198400 5549706686638080 5780944465248000 6937133358297600 7707925953664000 8671416697872000 9249511144396800 11561888930496000 13874266716595200 15415851907328000 17342833395744000 23123777860992000 27748533433190400 34685666791488000 46247555721984000 69371333582976000 138742667165952000
- Sum of all divisors σ(n): 515432871742042800
- Sum of proper divisors (its aliquot sum) s(n): 376690204576090800
- 138742667165952000 is an abundant number, because the sum of its proper divisors (376690204576090800) is greater than itself. Its abundance is 237947537410138800
Bases of 138742667165952000
- Binary: 1111011001110100110111000011111111001110111101000000000002
- Hexadecimal: 0x1ECE9B87F9DE800
- Base-36: 11Y465E13I80
Squares and roots of 138742667165952000
- 138742667165952000 squared (1387426671659520002) is 19249527692322135175508066304000000
- 138742667165952000 cubed (1387426671659520003) is 2670730813717626076980745175675707387281408000000000
-
The
square root of 138742667165952000 is 372481767.5617854991 -
The
cube root of 138742667165952000 is 517690.2825543907
Scales and comparisons
How big is 138742667165952000?- 138,742,667,165,952,000 seconds is equal to 4,411,587,656 years, 32 weeks, 5 days, 8 hours.
-
To count from 1 to 138,742,667,165,952,000 would take you about thirteen billion, two hundred thirty-four million, seven hundred sixty-two thousand, nine hundred sixty-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 138742667165952000 cubic inches would be around 43140.9 feet tall.
Recreational maths with 138742667165952000
- 138742667165952000 backwards is 000259561766247831
- 138742667165952000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138742667165952000's digits is 72
- 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 138742667165952000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138742667165952000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138742667165952000/
Chicago style:
Numbermatics. 2024. "Number 138742667165952000 - Facts about the integer". https://numbermatics.com/n/138742667165952000/
The information we have on file for 138742667165952000 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 138742667165952000, math, Factors of 138742667165952000, curriculum, school, college, exams, university, Prime factorization of 138742667165952000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-two trillion, six hundred sixty-seven billion, one hundred sixty-five million, nine hundred fifty-two thousand.