137315640000

Names of 137315640000

• Cardinal: 137315640000 can be written as One hundred thirty-seven billion, three hundred fifteen million, six hundred forty thousand.

Scientific notation

• Scientific notation: 1.3731564 × 10¹¹

Factors of 137315640000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 221

Divisors of 137315640000

• Number of divisors d(n): 1260
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 110 112 120 121 125 132 140 147 150 154 160 165 168 175 176 192 193 196 200 210 220 224 231 240 242 245 250 264 275 280 294 300 308 320 330 336 350 352 363 375 385 386 392 400 420 440 448 462 480 484 490 500 525 528 539 550 560 579 588 600 605 616 625 660 672 700 704 726 735 750 770 772 784 800 825 840 847 875 880 924 960 965 968 980 1000 1050 1056 1078 1100 1120 1155 1158 1176 1200 1210 1225 1232 1250 1320 1344 1351 1375 1400 1452 1470 1500 1540 1544 1568 1600 1617 1650 1680 1694 1750 1760 1815 1848 1875 1925 1930 1936 1960 2000 2100 2112 2123 2156 2200 2240 2310 2316 2352 2400 2420 2450 2464 2500 2541 2625 2640 2695 2702 2750 2800 2895 2904 2940 3000 3025 3080 3088 3136 3234 3300 3360 3388 3500 3520 3630 3675 3696 3750 3850 3860 3872 3920 4000 4053 4125 4200 4235 4246 4312 4375 4400 4620 4632 4704 4800 4825 4840 4900 4928 5000 5082 5250 5280 5390 5404 5500 5600 5775 5790 5808 5880 5929 6000 6050 6125 6160 6176 6369 6468 6600 6720 6755 6776 6875 7000 7260 7350 7392 7500 7700 7720 7744 7840 8000 8085 8106 8250 8400 8470 8492 8624 8750 8800 9075 9240 9264 9408 9457 9625 9650 9680 9800 10000 10164 10500 10560 10615 10780 10808 11000 11200 11550 11580 11616 11760 11858 12000 12100 12250 12320 12352 12705 12738 12936 13125 13200 13475 13510 13552 13750 14000 14475 14520 14700 14784 14861 15000 15125 15400 15440 15680 16170 16212 16500 16800 16940 16984 17248 17500 17600 17787 18150 18375 18480 18528 18914 19250 19300 19360 19600 20000 20265 20328 20625 21000 21175 21230 21560 21616 22000 23100 23160 23232 23353 23520 23716 24000 24125 24200 24500 24640 25410 25476 25872 26250 26400 26950 27020 27104 27500 28000 28371 28875 28950 29040 29400 29645 29722 30000 30250 30625 30800 30880 31845 32340 32424 33000 33600 33775 33880 33968 34496 35000 35574 36300 36750 36960 37056 37828 38500 38600 38720 39200 40000 40425 40530 40656 41250 42000 42350 42460 43120 43232 44000 44583 45375 46200 46320 46706 47040 47285 47432 48125 48250 48400 49000 50820 50952 51744 52500 52800 53075 53900 54040 54208 55000 56000 56742 57750 57900 58080 58800 59290 59444 60000 60500 61250 61600 61760 63525 63690 64680 64848 66000 67375 67550 67760 67936 70000 70059 71148 72375 72600 73500 73920 74305 75625 75656 77000 77200 78400 80850 81060 81312 82500 84000 84700 84920 86240 86464 88000 88935 89166 90750 91875 92400 92640 93412 94570 94864 96250 96500 96800 98000 101325 101640 101904 103488 104027 105000 105875 106150 107800 108080 110000 113484 115500 115800 116160 116765 117600 118580 118888 120000 120625 121000 122500 123200 127050 127380 129360 129696 132000 134750 135100 135520 135872 140000 140118 141855 142296 144375 144750 145200 147000 148225 148610 151250 151312 154000 154400 159225 161700 162120 162624 163471 165000 168000 168875 169400 169840 172480 177870 178332 181500 183750 184800 185280 186824 189140 189728 192500 193000 193600 196000 202125 202650 203280 203808 208054 210000 211750 212300 215600 216160 220000 222915 226875 226968 231000 231600 233530 235200 236425 237160 237776 241250 242000 245000 254100 254760 258720 259392 264000 265375 269500 270200 271040 280000 280236 283710 284592 288750 289500 290400 294000 296450 297220 302500 302624 308000 308800 312081 317625 318450 323400 324240 326942 330000 336875 337750 338800 339680 350295 355740 356664 361875 363000 367500 369600 371525 373648 378280 379456 385000 386000 392000 404250 405300 406560 407616 416108 420000 423500 424600 431200 432320 440000 444675 445830 453750 453936 462000 463200 467060 472850 474320 475552 482500 484000 490000 490413 506625 508200 509520 517440 520135 529375 530750 539000 540400 560472 567420 569184 577500 579000 580800 583825 588000 592900 594440 605000 605248 616000 624162 635250 636900 646800 648480 653884 660000 673750 675500 677600 679360 700590 709275 711480 713328 723750 726000 735000 741125 743050 747296 756560 770000 772000 796125 808500 810600 813120 817355 832216 840000 844375 847000 849200 862400 889350 891660 907500 907872 924000 926400 934120 945700 948640 951104 965000 968000 980000 980826 1010625 1013250 1016400 1019040 1040270 1058750 1061500 1078000 1080800 1114575 1120944 1134840 1138368 1144297 1155000 1158000 1167650 1176000 1182125 1185800 1188880 1210000 1248324 1270500 1273800 1293600 1296960 1307768 1320000 1326875 1347500 1351000 1355200 1401180 1418550 1422960 1426656 1447500 1452000 1470000 1482250 1486100 1494592 1513120 1540000 1544000 1560405 1588125 1592250 1617000 1621200 1634710 1664432 1688750 1694000 1698400 1751475 1778700 1783320 1815000 1815744 1848000 1857625 1868240 1891400 1897280 1930000 1960000 1961652 2021250 2026500 2032800 2038080 2080540 2117500 2123000 2156000 2161600 2223375 2229150 2241888 2269680 2288594 2310000 2316000 2335300 2364250 2371600 2377760 2420000 2452065 2496648 2533125 2541000 2547600 2587200 2600675 2615536 2653750 2695000 2702000 2802360 2837100 2845920 2853312 2895000 2904000 2919125 2940000 2964500 2972200 3026240 3080000 3120810 3176250 3184500 3234000 3242400 3269420 3328864 3377500 3388000 3396800 3432891 3502950 3546375 3557400 3566640 3630000 3705625 3715250 3736480 3782800 3860000 3923304 3980625 4042500 4053000 4065600 4086775 4161080 4235000 4246000 4312000 4446750 4458300 4483776 4539360 4577188 4620000 4632000 4670600 4728500 4743200 4755520 4840000 4904130 4993296 5066250 5082000 5095200 5201350 5231072 5307500 5390000 5404000 5572875 5604720 5674200 5691840 5721485 5790000 5838250 5880000 5910625 5929000 5944400 6241620 6352500 6369000 6468000 6484800 6538840 6657728 6755000 6776000 6865782 7005900 7092750 7114800 7133280 7260000 7411250 7430500 7472960 7565600 7720000 7802025 7846608 7961250 8085000 8106000 8173550 8322160 8470000 8492000 8757375 8893500 8916600 9078720 9154376 9240000 9288125 9341200 9457000 9486400 9808260 9986592 10132500 10164000 10190400 10402700 10462144 10615000 10780000 10808000 11116875 11145750 11209440 11348400 11442970 11580000 11676500 11821250 11858000 11888800 12260325 12483240 12705000 12738000 12936000 13003375 13077680 13510000 13731564 14011800 14185500 14229600 14266560 14520000 14595625 14822500 14861000 15131200 15604050 15693216 15922500 16170000 16212000 16347100 16644320 16940000 16984000 17164455 17514750 17731875 17787000 17833200 18308752 18576250 18682400 18914000 19616520 19973184 20265000 20328000 20433875 20805400 21230000 21560000 22233750 22291500 22418880 22696800 22885940 23160000 23353000 23642500 23716000 23777600 24520650 24966480 25410000 25476000 26006750 26155360 27020000 27463128 27864375 28023600 28371000 28459200 28607425 29191250 29645000 29722000 31208100 31386432 31845000 32340000 32424000 32694200 33288640 33880000 34328910 35029500 35463750 35574000 35666400 36617504 37152500 37364800 37828000 39010125 39233040 40530000 40867750 41610800 42460000 43786875 44467500 44583000 45393600 45771880 46706000 47285000 47432000 49041300 49932960 50820000 50952000 52013500 52310720 54040000 54926256 55728750 56047200 56742000 57214850 58382500 59290000 59444000 61301625 62416200 63690000 64680000 65016875 65388400 68657820 70059000 70927500 71148000 71332800 73235008 74305000 75656000 78020250 78466080 81060000 81735500 83221600 84920000 85822275 87573750 88935000 89166000 91543760 93412000 94570000 98082600 99865920 101640000 102169375 104027000 109852512 111457500 112094400 113484000 114429700 116765000 118580000 118888000 122603250 124832400 127380000 130033750 130776800 137315640 140118000 141855000 142296000 143037125 148610000 156040500 156932160 162120000 163471000 166443200 171644550 175147500 177870000 178332000 183087520 186824000 189140000 195050625 196165200 204338750 208054000 219705024 222915000 226968000 228859400 233530000 237160000 245206500 249664800 254760000 260067500 261553600 274631280 280236000 283710000 286074250 297220000 306508125 312081000 326942000 343289100 350295000 355740000 356664000 366175040 378280000 390101250 392330400 408677500 416108000 429111375 445830000 457718800 467060000 490413000 499329600 520135000 549262560 560472000 567420000 572148500 594440000 613016250 624162000 653884000 686578200 700590000 711480000 715185625 780202500 784660800 817355000 832216000 858222750 891660000 915437600 934120000 980826000 1040270000 1098525120 1134840000 1144297000 1226032500 1248324000 1307768000 1373156400 1401180000 1430371250 1560405000 1634710000 1716445500 1783320000 1830875200 1961652000 2080540000 2145556875 2288594000 2452065000 2496648000 2746312800 2802360000 2860742500 3120810000 3269420000 3432891000 3923304000 4161080000 4291113750 4577188000 4904130000 5492625600 5721485000 6241620000 6538840000 6865782000 8582227500 9154376000 9808260000 11442970000 12483240000 13731564000 17164455000 19616520000 22885940000 27463128000 34328910000 45771880000 68657820000 137315640000
• Sum of all divisors σ(n): 583502838072
• Sum of proper divisors (its aliquot sum) s(n): 446187198072
• 137315640000 is an abundant number, because the sum of its proper divisors (446187198072) is greater than itself. Its abundance is 308871558072

Bases of 137315640000

• Binary: 1111111111000101001100110001011000000₂
• Hexadecimal: 0x1FF8A662C0
• Base-36: 1R2Y6PXC

Squares and roots of 137315640000

• 137315640000 squared (137315640000²) is 18855584988609600000000
• 137315640000 cubed (137315640000³) is 2589166720285319934144000000000000
• The square root of 137315640000 is 370561.2499978917
• The cube root of 137315640000 is 5159.0927435619

Scales and comparisons

• 137,315,640,000 seconds is equal to 4,366 years, 11 weeks, 9 hours, 20 minutes.
• To count from 1 to 137,315,640,000 would take you about eight thousand, seven hundred thirty-two 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 137315640000 cubic inches would be around 429.9 feet tall.

Recreational maths with 137315640000

• 137315640000 backwards is 000046513731
• 137315640000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137315640000's digits is 30
• More coming soon!