137505438720

Names of 137505438720

• Cardinal: 137505438720 can be written as One hundred thirty-seven billion, five hundred five million, four hundred thirty-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3750543872 × 10¹¹

Factors of 137505438720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 208

Divisors of 137505438720

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 61 64 65 71 72 78 80 90 96 104 106 117 120 122 128 130 142 144 156 159 160 180 183 192 195 208 212 213 234 240 244 256 260 265 284 288 305 312 318 320 355 360 366 384 390 416 424 426 468 477 480 488 512 520 530 549 568 576 585 610 624 636 639 640 689 710 720 732 768 780 793 795 832 848 852 915 923 936 954 960 976 1024 1040 1060 1065 1098 1136 1152 1170 1220 1248 1272 1278 1280 1378 1420 1440 1464 1536 1560 1586 1590 1664 1696 1704 1830 1846 1872 1908 1920 1952 2067 2080 2120 2130 2196 2272 2304 2340 2379 2385 2440 2496 2544 2556 2560 2745 2756 2769 2840 2880 2928 3072 3120 3172 3180 3195 3233 3328 3392 3408 3445 3660 3692 3744 3763 3816 3840 3904 3965 4134 4160 4240 4260 4331 4392 4544 4608 4615 4680 4758 4770 4880 4992 5088 5112 5120 5490 5512 5538 5680 5760 5856 6201 6240 6344 6360 6390 6466 6656 6784 6816 6890 7137 7320 7384 7488 7526 7632 7680 7808 7930 8268 8307 8320 8480 8520 8662 8784 9088 9216 9230 9360 9516 9540 9699 9760 9984 10176 10224 10335 10980 11024 11076 11289 11360 11520 11712 11895 12402 12480 12688 12720 12780 12932 12993 13312 13568 13632 13780 13845 14274 14640 14768 14976 15052 15264 15360 15616 15860 16165 16536 16614 16640 16960 17040 17324 17568 18176 18460 18720 18815 19032 19080 19398 19520 19968 20352 20448 20670 21655 21960 22048 22152 22578 22720 23040 23424 23790 24804 24960 25376 25440 25560 25864 25986 27136 27264 27560 27690 28548 29097 29280 29536 29952 30104 30528 31005 31232 31720 32330 33072 33228 33280 33867 33920 34080 34648 35136 35685 36352 36920 37440 37630 38064 38160 38796 38979 39040 39936 40704 40896 41340 41535 42029 43310 43920 44096 44304 45156 45440 46080 46848 47580 48495 48919 49608 49920 50752 50880 51120 51728 51972 54272 54528 55120 55380 56303 56445 57096 58194 58560 59072 59904 60208 61056 62010 62464 63440 64660 64965 66144 66456 66560 67734 67840 68160 69296 70272 71370 72704 73840 74880 75260 76128 76320 77592 77958 78080 81408 81792 82680 83070 84058 86620 87840 88192 88608 90312 90880 93696 95160 96990 97838 99216 99840 101504 101760 102240 103456 103944 109056 110240 110760 112606 112890 114192 116388 117120 118144 119808 120416 122112 124020 126087 126880 129320 129930 132288 132912 135468 135680 136320 138592 140544 142740 145485 146757 147680 149760 150520 152256 152640 155184 155916 156160 162816 163584 165360 166140 168116 168909 169335 173240 175680 176384 177216 180624 181760 187392 190320 193980 194895 195676 198432 199680 203008 203520 204480 206912 207888 210145 218112 220480 221520 225212 225780 228384 229543 232776 234240 236288 240832 244224 244595 248040 252174 253760 258640 259860 264576 265824 270936 271360 272640 277184 281088 281515 285480 290970 293514 295360 299520 301040 304512 305280 310368 311832 312320 327168 330720 332280 336232 337818 338670 346480 351360 352768 354432 361248 363520 378261 380640 387960 389790 391352 396864 406016 407040 408960 413824 415776 420290 440271 440960 443040 450424 451560 456768 459086 465552 468480 472576 481664 488448 489190 496080 504348 506727 507520 517280 519720 529152 531648 541872 545280 554368 562176 563030 570960 581940 587028 590720 599040 602080 609024 610560 620736 623664 630435 654336 661440 664560 672464 675636 677340 688629 692960 702720 705536 708864 722496 733785 756522 761280 775920 779580 782704 793728 812032 814080 817920 827648 831552 840580 844545 880542 881920 886080 900848 903120 913536 918172 931104 936960 945152 963328 978380 992160 1008696 1013454 1015040 1034560 1039440 1058304 1063296 1083744 1090560 1108736 1126060 1141920 1147715 1163880 1174056 1181440 1204160 1218048 1221120 1241472 1247328 1260870 1322880 1329120 1344928 1351272 1354680 1377258 1385920 1405440 1417728 1444992 1467570 1513044 1522560 1551840 1559160 1565408 1587456 1635840 1655296 1663104 1681160 1689090 1761084 1763840 1772160 1801696 1806240 1827072 1836344 1862208 1891305 1926656 1956760 1984320 2017392 2026908 2030080 2065887 2069120 2078880 2116608 2126592 2167488 2201355 2217472 2252120 2283840 2295430 2327760 2348112 2362880 2408320 2436096 2442240 2482944 2494656 2521740 2533635 2645760 2658240 2689856 2702544 2709360 2754516 2771840 2810880 2835456 2889984 2935140 2984059 3026088 3045120 3103680 3118320 3130816 3174912 3271680 3310592 3326208 3362320 3378180 3443145 3522168 3527680 3544320 3603392 3612480 3654144 3672688 3724416 3782610 3853312 3913520 3968640 4034784 4053816 4060160 4131774 4138240 4157760 4253184 4334976 4402710 4434944 4504240 4567680 4590860 4655520 4696224 4725760 4816640 4965888 4989312 5043480 5067270 5291520 5316480 5379712 5405088 5418720 5509032 5543680 5779968 5870280 5968118 6052176 6090240 6207360 6236640 6261632 6349824 6652416 6724640 6756360 6886290 7044336 7088640 7206784 7224960 7308288 7345376 7448832 7565220 7827040 7937280 8069568 8107632 8263548 8276480 8315520 8506368 8669952 8805420 8952177 9008480 9135360 9181720 9311040 9392448 9633280 9931776 9978624 10086960 10134540 10329435 10583040 10632960 10759424 10810176 10837440 11018064 11087360 11559936 11740560 11936236 12104352 12180480 12414720 12473280 12523264 13304832 13449280 13512720 13772580 14088672 14177280 14413568 14449920 14690752 14897664 14920295 15130440 15654080 15874560 16139136 16215264 16527096 16552960 16631040 17339904 17610840 17904354 18016960 18270720 18363440 18622080 18784896 19266560 19957248 20173920 20269080 20658870 21265920 21518848 21620352 21674880 22036128 22174720 23481120 23872472 24208704 24829440 24946560 25046528 26856531 26898560 27025440 27545160 28177344 28827136 28899840 29381504 29795328 29840590 30260880 31308160 31749120 32278272 32430528 33054192 33262080 34679808 35221680 35808708 36033920 36541440 36726880 37244160 37569792 39914496 40347840 40538160 41317740 42531840 43037696 43240704 43349760 44072256 44760885 46962240 47744944 48417408 49658880 49893120 50093056 53713062 53797120 54050880 55090320 56354688 57654272 57799680 58763008 59681180 60521760 62616320 64556544 64861056 66108384 66524160 70443360 71617416 72067840 73453760 74488320 75139584 80695680 81076320 82635480 86481408 86699520 88144512 89521770 93924480 95489888 96834816 99786240 107426124 107594240 108101760 110180640 112709376 117526016 119362360 121043520 125232640 129113088 129722112 132216768 134282655 140886720 143234832 144135680 146907520 148976640 150279168 161391360 162152640 165270960 172962816 173399040 176289024 179043540 187848960 190979776 193669632 199572480 214852248 215188480 216203520 220361280 225418752 235052032 238724720 242087040 250465280 259444224 264433536 268565310 281773440 286469664 288271360 293815040 322782720 324305280 330541920 352578048 358087080 375697920 381959552 387339264 429704496 432407040 440722560 450837504 477449440 484174080 518888448 528867072 537130620 563546880 572939328 587630080 645565440 648610560 661083840 705156096 716174160 751395840 763919104 859408992 864814080 881445120 954898880 968348160 1057734144 1074261240 1127093760 1145878656 1175260160 1297221120 1322167680 1432348320 1527838208 1718817984 1762890240 1909797760 1936696320 2115468288 2148522480 2254187520 2291757312 2594442240 2644335360 2864696640 3055676416 3437635968 3525780480 3819595520 4297044960 4583514624 5288670720 5729393280 6875271936 7639191040 8594089920 9167029248 10577341440 11458786560 13750543872 15278382080 17188179840 22917573120 27501087744 34376359680 45835146240 68752719360 137505438720
• Sum of all divisors σ(n): 538838262144
• Sum of proper divisors (its aliquot sum) s(n): 401332823424
• 137505438720 is an abundant number, because the sum of its proper divisors (401332823424) is greater than itself. Its abundance is 263827384704

Bases of 137505438720

• Binary: 10000000000011111101100111110000000000₂
• Hexadecimal: 0x2003F67C00
• Base-36: 1R636RK0

Squares and roots of 137505438720

• 137505438720 squared (137505438720²) is 18907745677579675238400
• 137505438720 cubed (137505438720³) is 2599917864601776911411312590848000
• The square root of 137505438720 is 370817.2578508179
• The cube root of 137505438720 is 5161.4686282939

Scales and comparisons

• 137,505,438,720 seconds is equal to 4,372 years, 12 weeks, 6 days, 3 hours, 12 minutes.
• To count from 1 to 137,505,438,720 would take you about eight thousand, seven 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 137505438720 cubic inches would be around 430.1 feet tall.

Recreational maths with 137505438720

• 137505438720 backwards is 027834505731
• 137505438720 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137505438720's digits is 45
• More coming soon!