137985617000

Names of 137985617000

• Cardinal: 137985617000 can be written as One hundred thirty-seven billion, nine hundred eighty-five million, six hundred seventeen thousand.

Scientific notation

• Scientific notation: 1.37985617 × 10¹¹

Factors of 137985617000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 79

Divisors of 137985617000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 17 20 22 25 28 34 35 37 40 44 49 50 55 56 68 70 74 77 85 88 98 100 110 119 121 125 136 140 148 154 170 175 185 187 196 200 220 238 242 245 250 259 275 280 296 308 340 350 370 374 385 392 407 425 440 476 484 490 500 518 539 550 595 605 616 629 680 700 740 748 770 814 833 847 850 875 925 935 952 968 980 1000 1036 1078 1100 1190 1210 1225 1258 1295 1309 1369 1375 1400 1480 1496 1540 1628 1666 1694 1700 1750 1813 1850 1870 1925 1960 2035 2057 2072 2125 2156 2200 2380 2420 2450 2516 2590 2618 2695 2738 2750 2849 2975 3025 3080 3145 3256 3332 3388 3400 3500 3626 3700 3740 3850 4070 4114 4165 4235 4250 4312 4403 4477 4625 4675 4760 4840 4900 5032 5180 5236 5390 5476 5500 5698 5929 5950 6050 6125 6290 6475 6545 6664 6776 6845 6919 7000 7252 7400 7480 7700 8140 8228 8330 8470 8500 8806 8954 9065 9163 9250 9350 9583 9625 9800 10175 10285 10360 10472 10780 10952 11000 11396 11858 11900 12100 12250 12580 12950 13090 13475 13690 13838 14245 14399 14504 14875 15059 15125 15400 15725 16280 16456 16660 16940 17000 17612 17908 18130 18326 18500 18700 19166 19250 19943 20350 20570 20825 21175 21560 22015 22385 22792 23273 23375 23716 23800 24200 24500 25160 25900 26180 26950 27380 27676 28490 28798 29645 29750 30118 30250 30821 31339 31450 32375 32725 33320 33880 34225 34595 35224 35816 36260 36652 37000 37400 38332 38500 39886 40700 41140 41650 42350 44030 44770 45325 45815 46546 46750 47432 47915 48433 49000 50875 51425 51800 52360 53900 54760 55352 56980 57596 59290 59500 60236 60500 61642 62678 62900 64750 65450 67081 67375 68450 69190 71225 71995 72520 73304 75295 76109 76664 77000 78625 79772 81400 82280 83300 84700 88060 89540 90650 91630 93092 93500 95830 96866 99715 100793 101750 102850 104125 105413 105875 107800 110075 111925 113960 115192 116365 118580 119000 120472 121000 123284 125356 125800 129500 130900 134162 134750 136900 138380 142450 143990 148225 150590 152218 154105 156695 157250 159544 162911 163625 165649 166600 169400 171125 172975 176120 179080 181300 183260 186184 187000 191660 193732 199430 201586 203500 205700 208250 210826 211750 219373 220150 223850 226625 229075 232730 237160 239575 242165 246568 250712 256003 257125 259000 261800 268324 269500 273800 276760 284900 287980 296450 301180 304436 308210 313390 314500 325822 327250 331298 335405 339031 342250 345950 356125 359975 362600 366520 376475 380545 383320 387464 398860 403172 407000 411400 416500 421652 423500 438746 440300 447700 453250 458150 465460 479150 484330 498575 503965 512006 514250 527065 532763 536648 539000 550375 559625 569800 575960 581825 592900 602360 608872 616420 626780 629000 651644 654500 662596 670810 678062 684500 691900 712250 719950 737891 741125 752950 761090 770525 783475 797720 806344 814555 828245 833000 843304 847000 864875 877492 880600 895400 906500 916300 930920 958300 968660 997150 1007930 1024012 1028500 1054130 1065526 1096865 1100750 1119250 1140377 1145375 1159543 1163650 1185800 1197875 1210825 1232840 1253560 1280015 1303288 1309000 1325192 1341620 1356124 1369000 1383800 1424500 1439900 1475782 1482250 1505900 1522180 1541050 1566950 1629110 1656490 1677025 1695155 1729750 1754984 1792021 1799875 1813000 1832600 1882375 1902725 1916600 1937320 1994300 2015860 2048024 2057000 2108260 2131052 2193730 2201500 2238500 2280754 2290750 2319086 2327300 2395750 2421650 2492875 2519825 2560030 2635325 2663815 2683240 2712248 2816033 2849000 2879800 2909125 2951564 2964500 3011800 3044360 3082100 3133900 3258220 3312980 3354050 3390310 3459500 3584042 3599750 3689455 3729341 3764750 3805450 3852625 3917375 3988600 4031720 4072775 4141225 4216520 4262104 4387460 4403000 4477000 4561508 4581500 4638172 4654600 4791500 4843300 4985750 5039650 5120060 5270650 5327630 5484325 5632066 5701885 5797715 5818250 5903128 5929000 6054125 6164200 6267800 6400075 6516440 6625960 6708100 6780620 6919000 7168084 7199500 7378910 7458682 7529500 7610900 7705250 7834750 8116801 8145550 8282450 8385125 8475775 8774920 8960105 9123016 9163000 9276344 9513625 9583000 9686600 9971500 10079300 10240120 10541300 10655260 10968650 11264132 11403770 11595430 11636500 12108250 12544147 12599125 12800150 13176625 13319075 13416200 13561240 14080165 14336168 14399000 14757820 14917364 15059000 15221800 15410500 15669500 16233602 16291100 16564900 16770250 16951550 17920210 18447275 18646705 19027250 19712231 19943000 20158600 20363875 20706125 21082600 21310520 21937300 22528264 22807540 23190860 23273000 24216500 25088294 25198250 25600300 26353250 26638150 27421625 28160330 28509425 28988575 29515640 29834728 30821000 31339000 32000375 32467204 32582200 33129800 33540500 33903100 35840420 36894550 37293410 38054500 39424462 40584005 40727750 41412250 42378875 43874600 44800525 45615080 46381720 48433000 50176588 50396500 51200600 52706500 53276300 54843250 56320660 57018850 57977150 62720735 64000750 64934408 66595375 67081000 67806200 70400825 71680840 73789100 74586820 76109000 78848924 81168010 81455500 82824500 84757750 89601050 92236375 93233525 98561155 100353176 100793000 105413000 106552600 109686500 112641320 114037700 115954300 125441470 128001500 133190750 137985617 140801650 142547125 144942875 147578200 149173640 157697848 162336020 162911000 165649000 169515500 179202100 184472750 186467050 197122310 202920025 219373000 224002625 228075400 231908600 250882940 256003000 266381500 275971234 281603300 285094250 289885750 313603675 324672040 339031000 352004125 358404200 368945500 372934100 394244620 405840050 448005250 466167625 492805775 501765880 532763000 551942468 563206600 570188500 579771500 627207350 689928085 704008250 737891000 745868200 788489240 811680100 896010500 932335250 985611550 1014600125 1103884936 1140377000 1159543000 1254414700 1379856170 1408016500 1568018375 1623360200 1792021000 1864670500 1971223100 2029200250 2464028875 2508829400 2759712340 2816033000 3136036750 3449640425 3729341000 3942446200 4058400500 4928057750 5519424680 6272073500 6899280850 8116801000 9856115500 12544147000 13798561700 17248202125 19712231000 27597123400 34496404250 68992808500 137985617000
• Sum of all divisors σ(n): 449271590040
• Sum of proper divisors (its aliquot sum) s(n): 311285973040
• 137985617000 is an abundant number, because the sum of its proper divisors (311285973040) is greater than itself. Its abundance is 173300356040

Bases of 137985617000

• Binary: 10000000100000100101010110110001101000₂
• Hexadecimal: 0x2020956C68
• Base-36: 1RE12NHK

Squares and roots of 137985617000

• 137985617000 squared (137985617000²) is 19040030498870689000000
• 137985617000 cubed (137985617000³) is 2627250356085489824880113000000000
• The square root of 137985617000 is 371464.1530484469
• The cube root of 137985617000 is 5167.4697140023

Scales and comparisons

• 137,985,617,000 seconds is equal to 4,387 years, 26 weeks, 5 days, 18 hours, 3 minutes, 20 seconds.
• To count from 1 to 137,985,617,000 would take you about eight thousand, seven hundred seventy-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 137985617000 cubic inches would be around 430.6 feet tall.

Recreational maths with 137985617000

• 137985617000 backwards is 000716589731
• The number of decimal digits it has is: 12
• The sum of 137985617000's digits is 47
• More coming soon!