138644240384000
138,644,240,384,000 is an even composite number composed of six prime numbers multiplied together.
138644240384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138644240384000:
214 × 53 × 13 × 172 × 37 × 487
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 37 × 487)See below for interesting mathematical facts about the number 138644240384000 from the Numbermatics database.
Names of 138644240384000
- Cardinal: 138644240384000 can be written as One hundred thirty-eight trillion, six hundred forty-four billion, two hundred forty million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38644240384 × 1014
Factors of 138644240384000
Divisors of 138644240384000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 64 65 68 74 80 85 100 104 125 128 130 136 148 160 170 185 200 208 221 250 256 260 272 289 296 320 325 340 370 400 416 425 442 481 487 500 512 520 544 578 592 629 640 650 680 740 800 832 850 884 925 962 974 1000 1024 1040 1088 1105 1156 1184 1258 1280 1300 1360 1445 1480 1600 1625 1664 1700 1768 1850 1924 1948 2000 2048 2080 2125 2176 2210 2312 2368 2405 2435 2516 2560 2600 2720 2890 2960 3145 3200 3250 3328 3400 3536 3700 3757 3848 3896 4000 4096 4160 4250 4352 4420 4624 4625 4736 4810 4870 5032 5120 5200 5440 5525 5780 5920 6290 6331 6400 6500 6656 6800 7072 7225 7400 7514 7696 7792 8000 8177 8192 8279 8320 8500 8704 8840 9248 9250 9472 9620 9740 10064 10240 10400 10693 10880 11050 11560 11840 12025 12175 12580 12662 12800 13000 13312 13600 14144 14450 14800 15028 15392 15584 15725 16000 16354 16384 16558 16640 17000 17408 17680 18019 18496 18500 18785 18944 19240 19480 20128 20480 20800 21386 21760 22100 23120 23680 24050 24350 25160 25324 25600 26000 26624 27200 27625 28288 28900 29600 30056 30784 31168 31450 31655 32000 32708 33116 33280 34000 34816 35360 36038 36125 36992 37000 37570 37888 38480 38960 40256 40885 40960 41395 41600 42772 43520 44200 46240 47360 48100 48700 50320 50648 51200 52000 53248 53465 54400 55250 56576 57800 59200 60112 60125 60875 61568 62336 62900 63310 64000 65416 66232 66560 68000 69632 70720 72076 72250 73984 74000 75140 75776 76960 77920 78625 80512 81770 81920 82790 83200 85544 87040 88400 90095 92480 93925 94720 96200 97400 100640 101296 102400 104000 106496 106930 107627 108800 110500 113152 115600 118400 120224 120250 121750 123136 124672 125800 126620 128000 130832 132464 133120 136000 139009 139264 140743 141440 144152 144500 147968 148000 150280 151552 153920 155840 157250 158275 161024 163540 165580 166400 171088 174080 176800 180190 184960 187850 189440 192400 194800 201280 202592 204425 204800 206975 208000 212992 213860 215254 217600 221000 226304 231200 234247 236800 240448 240500 243500 246272 249344 251600 253240 256000 261664 264928 266240 267325 272000 278018 278528 281486 282880 288304 289000 295936 296000 300560 303104 306323 307840 311680 314500 316550 322048 327080 331160 332800 342176 348160 353600 360380 369920 375700 378880 384800 389600 402560 405184 408850 409600 413950 416000 427720 430508 435200 442000 450475 452608 462400 468494 469625 473600 480896 481000 487000 492544 498688 503200 506480 512000 523328 529856 532480 534650 538135 544000 556036 562972 565760 576608 578000 591872 592000 601120 606208 612646 615680 623360 629000 633100 644096 654160 662320 665600 684352 695045 696320 703715 707200 720760 739840 751400 757760 769600 779200 791375 805120 810368 817700 827900 832000 855440 861016 870400 884000 900950 905216 924800 936988 939250 947200 961792 962000 974000 985088 997376 1006400 1012960 1022125 1024000 1034875 1046656 1059712 1064960 1069300 1076270 1088000 1112072 1125944 1131520 1153216 1156000 1171235 1183744 1184000 1202240 1225292 1231360 1246720 1258000 1266200 1288192 1308320 1324640 1331200 1336625 1368704 1390090 1392640 1407430 1414400 1441520 1479680 1502800 1515520 1531615 1539200 1558400 1582750 1610240 1620736 1635400 1655800 1664000 1710880 1722032 1740800 1768000 1801900 1810432 1829659 1849600 1873976 1878500 1894400 1923584 1924000 1948000 1970176 1994752 2012800 2025920 2044250 2048000 2069750 2093312 2119424 2138600 2152540 2176000 2224144 2251888 2252375 2263040 2306432 2312000 2342470 2367488 2368000 2404480 2450584 2462720 2493440 2516000 2532400 2576384 2616640 2649280 2662400 2673250 2690675 2737408 2780180 2814860 2828800 2883040 2959360 3005600 3031040 3063230 3078400 3116800 3165500 3220480 3241472 3270800 3311600 3328000 3421760 3444064 3475225 3481600 3518575 3536000 3603800 3620864 3659318 3699200 3747952 3757000 3788800 3847168 3848000 3896000 3940352 3982199 3989504 4025600 4051840 4088500 4139500 4186624 4238848 4277200 4305080 4352000 4448288 4503776 4504750 4526080 4612864 4624000 4684940 4734976 4736000 4808960 4901168 4925440 4986880 5032000 5064800 5152768 5207491 5233280 5298560 5324800 5346500 5381350 5474816 5560360 5629720 5657600 5766080 5856175 5918720 6011200 6126460 6156800 6233600 6331000 6440960 6482944 6541600 6623200 6656000 6843520 6888128 6950450 6963200 7037150 7072000 7207600 7318636 7398400 7495904 7514000 7577600 7658075 7694336 7696000 7792000 7880704 7964398 7979008 8051200 8103680 8177000 8279000 8373248 8477696 8554400 8610160 8704000 8896576 9007552 9009500 9052160 9148295 9225728 9248000 9369880 9472000 9617920 9802336 9850880 9973760 10064000 10129600 10305536 10414982 10466560 10597120 10693000 10762700 10949632 11120720 11259440 11315200 11532160 11712350 11837440 12022400 12252920 12313600 12467200 12662000 12881920 12965888 13083200 13246400 13312000 13453375 13687040 13776256 13900900 14074300 14144000 14415200 14637272 14796800 14991808 15028000 15155200 15316150 15388672 15392000 15584000 15928796 16102400 16207360 16354000 16558000 16746496 16955392 17108800 17220320 17376125 17408000 17592875 17793152 18015104 18019000 18104320 18296590 18451456 18496000 18739760 18944000 19235840 19604672 19701760 19910995 19947520 20128000 20259200 20829964 20933120 21194240 21386000 21525400 21899264 22241440 22518880 22630400 23064320 23424700 23674880 24044800 24505840 24627200 24934400 25324000 25763840 25931776 26037455 26166400 26492800 26624000 26906750 27374080 27552512 27801800 28148600 28288000 28830400 29274544 29280875 29593600 29983616 30056000 30632300 30777344 30784000 31168000 31857592 32204800 32414720 32708000 33116000 33492992 33910784 34217600 34440640 34752250 34816000 35185750 35586304 36030208 36038000 36593180 36902912 36992000 37479520 37888000 38290375 38471680 39209344 39403520 39821990 39895040 40256000 40518400 41659928 41866240 42388480 42772000 43050800 43798528 44482880 45037760 45260800 45741475 46128640 46849400 48089600 49011680 49254400 49868800 50648000 51527680 51863552 52074910 52332800 52985600 53813500 54748160 55105024 55603600 56297200 56576000 57660800 58549088 58561750 59187200 59967232 60112000 61264600 61554688 61568000 62336000 63715184 64409600 64829440 65416000 66232000 66985984 67697383 67821568 68435200 68881280 69504500 70371500 71172608 72060416 72076000 73186360 73805824 73984000 74959040 75776000 76580750 76943360 78418688 79643980 80512000 81036800 83319856 83732480 84776960 85544000 86101600 87597056 88965760 90075520 90521600 91482950 92257280 93698800 96179200 98023360 98508800 99554975 99737600 101296000 103727104 104149820 104665600 105971200 107627000 109496320 110210048 111207200 112594400 113152000 115321600 117098176 117123500 118374400 119934464 120224000 122529200 123136000 124672000 127430368 128819200 129658880 130187275 130832000 132464000 133971968 135394766 135643136 136870400 137762560 139009000 140743000 142345216 144120832 144152000 146372720 147611648 147968000 149918080 153161500 153886720 156837376 159287960 161024000 162073600 166639712 167464960 169553920 171088000 172203200 175194112 177931520 180151040 182965900 184514560 187397600 192358400 196046720 197017600 199109950 199475200 202592000 208299640 209331200 211942400 215254000 218992640 220420096 222414400 225188800 226304000 228707375 230643200 234196352 234247000 239868928 240448000 245058400 246272000 249344000 254860736 257638400 259317760 260374550 261664000 264928000 270789532 273740800 275525120 278018000 281486000 284690432 288241664 288304000 292745440 295223296 295936000 299836160 306323000 307773440 313674752 318575920 322048000 324147200 333279424 334929920 338486915 339107840 342176000 344406400 355863040 360302080 365931800 369029120 374795200 384716800 392093440 398219900 405184000 416599280 418662400 423884800 430508000 437985280 440840192 444828800 450377600 452608000 457414750 461286400 468392704 468494000 479737856 480896000 490116800 492544000 497774875 498688000 509721472 518635520 520749100 523328000 529856000 541579064 547481600 551050240 556036000 562972000 569380864 576483328 576608000 585490880 591872000 599672320 612646000 627349504 637151840 644096000 648294400 650936375 666558848 669859840 676973830 678215680 684352000 688812800 711726080 720604160 731863600 738058240 749590400 769433600 784186880 796439800 810368000 833198560 837324800 847769600 861016000 875970560 881680384 889657600 900755200 914829500 922572800 936785408 936988000 959475712 961792000 980233600 985088000 995549750 997376000 1019442944 1041498200 1046656000 1059712000 1083158128 1094963200 1102100480 1112072000 1125944000 1138761728 1152966656 1153216000 1170981760 1199344640 1225292000 1254699008 1274303680 1288192000 1296588800 1301872750 1333117696 1353947660 1368704000 1377625600 1423452160 1441208320 1463727200 1476116480 1499180800 1538867200 1568373760 1592879600 1620736000 1666397120 1674649600 1692434575 1695539200 1722032000 1763360768 1779315200 1801510400 1829659000 1845145600 1873570816 1873976000 1918951424 1923584000 1960467200 1991099500 2038885888 2082996400 2093312000 2119424000 2166316256 2189926400 2204200960 2224144000 2251888000 2277523456 2305933312 2306432000 2341963520 2398689280 2450584000 2509398016 2548607360 2593177600 2603745500 2666235392 2707895320 2737408000 2755251200 2846904320 2882416640 2927454400 2998361600 3136747520 3185759200 3241472000 3332794240 3349299200 3384869150 3391078400 3444064000 3558630400 3603020800 3659318000 3690291200 3747141632 3747952000 3837902848 3847168000 3920934400 3982199000 4077771776 4165992800 4186624000 4238848000 4332632512 4379852800 4408401920 4448288000 4503776000 4612864000 4683927040 4797378560 4901168000 5018796032 5097214720 5207491000 5332470784 5415790640 5474816000 5510502400 5693808640 5764833280 5854908800 5996723200 6273495040 6371518400 6482944000 6665588480 6769738300 6888128000 7117260800 7206041600 7318636000 7380582400 7494283264 7495904000 7694336000 7841868800 7964398000 8155543552 8331985600 8373248000 8462172875 8477696000 8665265024 8816803840 8896576000 9007552000 9225728000 9367854080 9594757120 9802336000 10194429440 10414982000 10664941568 10831581280 10949632000 11021004800 11387617280 11529666560 11709817600 11993446400 12546990080 12743036800 12965888000 13331176960 13539476600 13776256000 14234521600 14412083200 14637272000 14988566528 14991808000 15683737600 15928796000 16311087104 16663971200 16746496000 16924345750 16955392000 17330530048 17793152000 18015104000 18451456000 18735708160 19189514240 19604672000 20388858880 20829964000 21329883136 21663162560 21899264000 22042009600 23419635200 23986892800 25093980160 25486073600 26662353920 27078953200 27552512000 28469043200 28824166400 29274544000 29977133056 29983616000 31367475200 31857592000 32622174208 33327942400 33848691500 34661060096 35586304000 36030208000 36902912000 37471416320 39209344000 40777717760 41659928000 42659766272 43326325120 44084019200 46839270400 47973785600 50972147200 53324707840 54157906400 55105024000 56938086400 57648332800 58549088000 59967232000 62734950400 63715184000 65244348416 66655884800 67697383000 69322120192 71172608000 72060416000 74942832640 78418688000 81555435520 83319856000 85319532544 86652650240 93678540800 95947571200 101944294400 106649415680 108315812800 110210048000 117098176000 119934464000 125469900800 127430368000 133311769600 135394766000 138644240384 142345216000 144120832000 149885665280 156837376000 163110871040 166639712000 173305300480 187357081600 203888588800 213298831360 216631625600 220420096000 234196352000 239868928000 254860736000 266623539200 270789532000 277288480768 284690432000 288241664000 313674752000 326221742080 333279424000 346610600960 374714163200 407777177600 426597662720 433263251200 468392704000 479737856000 509721472000 533247078400 541579064000 554576961536 627349504000 666558848000 693221201920 749428326400 815554355200 866526502400 936785408000 1019442944000 1066494156800 1083158128000 1109153923072 1333117696000 1386442403840 1631108710400 1733053004800 1873570816000 2038885888000 2132988313600 2166316256000 2666235392000 2772884807680 3466106009600 3747141632000 4077771776000 4332632512000 5332470784000 5545769615360 6932212019200 8155543552000 8665265024000 10664941568000 13864424038400 17330530048000 27728848076800 34661060096000 69322120192000 138644240384000
- Sum of all divisors σ(n): 407409460209024
- Sum of proper divisors (its aliquot sum) s(n): 268765219825024
- 138644240384000 is an abundant number, because the sum of its proper divisors (268765219825024) is greater than itself. Its abundance is 130120979441024
Bases of 138644240384000
- Binary: 111111000011000101000001011001011000000000000002
- Hexadecimal: 0x7E18A0B2C000
- Base-36: 1D58A91B7K
Squares and roots of 138644240384000
- 138644240384000 squared (1386442403840002) is 19222225391656376467456000000
- 138644240384000 cubed (1386442403840003) is 2665050837916235206880370416943104000000000
-
The
square root of 138644240384000 is 11774728.8879192459 -
The
cube root of 138644240384000 is 51756.7833698177
Scales and comparisons
How big is 138644240384000?- 138,644,240,384,000 seconds is equal to 4,408,457 years, 51 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,644,240,384,000 would take you about eleven million, twenty-one thousand, one hundred forty-four 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 138644240384000 cubic inches would be around 4313.1 feet tall.
Recreational maths with 138644240384000
- 138644240384000 backwards is 000483042446831
- The number of decimal digits it has is: 15
- The sum of 138644240384000's digits is 47
- More coming soon!
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