137039469840

Names of 137039469840

• Cardinal: 137039469840 can be written as One hundred thirty-seven billion, thirty-nine million, four hundred sixty-nine thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3703946984 × 10¹¹

Factors of 137039469840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 888

Divisors of 137039469840

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 29 30 35 36 39 40 42 45 48 52 54 56 58 60 63 65 70 72 78 80 84 87 90 91 104 105 108 112 116 117 120 126 130 135 140 144 145 156 168 174 180 182 189 195 203 208 210 216 232 234 240 252 260 261 270 273 280 290 312 315 336 348 351 360 364 377 378 390 406 420 432 435 455 464 468 504 520 522 540 546 560 580 585 609 624 630 696 702 720 728 754 756 780 783 812 819 829 840 841 870 910 936 945 1008 1015 1040 1044 1080 1092 1131 1160 1170 1218 1260 1305 1365 1392 1404 1456 1508 1512 1560 1566 1624 1638 1658 1680 1682 1740 1755 1820 1827 1872 1885 1890 2030 2088 2160 2184 2262 2320 2340 2436 2457 2487 2520 2523 2610 2639 2730 2808 3016 3024 3045 3120 3132 3248 3276 3316 3364 3393 3480 3510 3640 3654 3770 3780 3915 4060 4095 4145 4176 4205 4368 4524 4680 4872 4914 4974 5040 5046 5220 5278 5460 5481 5616 5655 5803 5887 6032 6090 6264 6552 6632 6728 6786 6960 7020 7280 7308 7461 7540 7560 7569 7830 7917 8120 8190 8290 8410 9048 9135 9360 9744 9828 9948 10092 10179 10440 10556 10777 10920 10933 10962 11310 11606 11774 12180 12285 12435 12528 12615 13104 13195 13264 13456 13572 14040 14616 14922 15080 15120 15138 15660 15834 16240 16380 16580 16820 16965 17409 17661 18096 18270 19656 19896 20184 20358 20880 21112 21554 21840 21866 21924 22383 22620 22707 23212 23548 23751 24041 24360 24570 24870 25230 26390 27144 27405 28080 29015 29232 29435 29844 30160 30276 31320 31668 32331 32760 32799 33160 33640 33930 34818 35322 36540 37305 37845 39312 39585 39792 40368 40716 42224 43108 43732 43848 44766 45240 45414 46424 47096 47502 48082 48720 49140 49740 50460 50895 52227 52780 52983 53885 54288 54665 54810 58030 58870 59688 60552 62640 63336 64662 65520 65598 66320 67280 67860 69636 70644 71253 72123 73080 74610 75439 75690 76531 79170 81432 86216 87045 87464 87696 88305 89532 90480 90828 92848 94192 95004 96164 96993 98280 98397 99480 100920 101790 104454 105560 105966 107770 109330 109620 111915 113535 116060 117740 118755 119376 120205 121104 126672 129324 131196 135720 139272 141288 142506 144246 146160 149220 150878 151380 153062 156681 158340 158949 161655 162864 163995 168287 172432 174090 174928 176610 179064 181656 190008 192328 193986 196560 196794 198960 201840 203580 208908 211120 211932 215540 216369 218660 219240 223830 226317 227070 229593 232120 235480 237510 240410 258648 261135 262392 264915 271440 278544 282576 285012 288492 290979 295191 298440 301756 302760 306124 312533 313362 316680 317898 323310 327990 336574 348180 353220 356265 358128 360615 363312 377195 380016 382655 384656 387972 393588 407160 417816 423864 431080 432738 437320 438480 447660 452634 454140 459186 464240 470960 475020 480820 484965 491985 504861 517296 522270 524784 529830 570024 576984 581958 590382 596880 603512 605520 612248 625066 626724 633360 635796 646620 649107 655980 673148 678951 688779 696360 697189 706440 712530 721230 754390 765310 775944 783405 787176 794745 814320 835632 841435 847728 862160 865476 874640 895320 905268 908280 918372 937599 950040 961640 969930 983970 1009722 1044540 1059660 1081845 1131585 1140048 1147965 1153968 1163916 1180764 1207024 1224496 1250132 1253448 1271592 1293240 1298214 1311960 1346296 1357902 1377558 1392720 1394378 1412880 1425060 1442460 1454895 1475955 1508780 1514583 1530620 1551888 1562665 1566810 1574352 1589490 1682870 1730952 1790640 1810536 1816560 1836744 1875198 1900080 1923280 1939860 1967940 2019444 2036853 2066337 2089080 2091567 2119320 2163690 2187731 2263170 2295930 2327832 2361528 2500264 2506896 2524305 2543184 2586480 2596428 2623920 2692592 2715804 2755116 2788756 2812797 2850120 2884920 2909790 2951910 3017560 3029166 3061240 3125330 3133620 3178980 3245535 3365740 3394755 3443895 3461904 3485945 3621072 3673488 3750396 3879720 3935880 4038888 4073706 4132674 4178160 4183134 4238640 4327380 4375462 4526340 4543749 4591860 4655664 4687995 4723056 4880323 5000528 5048610 5192856 5431608 5510232 5577512 5625594 5700240 5769840 5819580 5903820 6035120 6058332 6122480 6250660 6267240 6274701 6357960 6491070 6563193 6731480 6789510 6887790 6971890 7500792 7572915 7759440 7871760 8077776 8147412 8265348 8366268 8438391 8654760 8750924 9052680 9063457 9087498 9183720 9375990 9760646 10097220 10184265 10331685 10385712 10457835 10863216 10938655 11020464 11155024 11251188 11639160 11807640 12116664 12501320 12534480 12549402 12715920 12982140 13126386 13462960 13579020 13775580 13943780 14063985 14640969 15001584 15145830 16294824 16530696 16732536 16876782 17309520 17501848 18105360 18126914 18174996 18367440 18751980 18824103 19521292 19689579 20194440 20368530 20663370 20915670 21877310 22502376 22718745 23278320 23615280 24233328 24401615 25002640 25098804 25964280 26252772 27158040 27190371 27551160 27887560 28127970 29281938 30291660 31373505 32589648 32815965 33061392 33465072 33753564 35003696 36253828 36349992 37503960 37648206 39042584 39379158 40388880 40737060 41326740 41831340 42191955 43754620 43922907 45004752 45317285 45437490 48803230 50197608 51928560 52505544 54316080 54380742 55102320 55775120 56255940 58563876 59068737 60583320 62747010 63444199 65631930 67507128 72507656 72699984 73204845 75007920 75296412 78085168 78758316 81474120 81571113 82653480 83662680 84383910 87509240 87845814 90634570 90874980 94120515 97606460 98447895 100395216 105011088 108761484 112511880 117127752 118137474 121166640 125494020 126888398 131263860 131768721 135014256 135951855 145015312 146409690 150592824 157516632 162948240 163142226 165306960 167325360 168767820 175018480 175691628 181269140 181749960 188241030 190332597 195212920 196895790 217522968 219614535 225023760 234255504 236274948 244713339 250988040 253776796 262527720 263537442 271903710 292819380 295343685 301185648 315033264 317220995 326284452 337535640 351383256 362538280 363499920 376482060 380665194 390425840 393791580 407855565 435045936 439229070 472549896 489426678 501976080 507553592 525055440 527074884 543807420 570997791 585638760 590687370 634441990 652568904 658843605 675071280 702766512 725076560 752964120 761330388 787583160 815711130 878458140 945099792 951662985 978853356 1015107184 1054149768 1087614840 1141995582 1171277520 1181374740 1223566695 1268883980 1305137808 1317687210 1505928240 1522660776 1575166320 1631422260 1712993373 1756916280 1903325970 1957706712 2108299536 2175229680 2283991164 2362749480 2447133390 2537767960 2635374420 2854988955 3045321552 3262844520 3425986746 3513832560 3806651940 3915413424 4567982328 4725498960 4894266780 5075535920 5270748840 5709977910 6525689040 6851973492 7613303880 8564966865 9135964656 9788533560 10541497680 11419955820 13703946984 15226607760 17129933730 19577067120 22839911640 27407893968 34259867460 45679823280 68519734920 137039469840
• Sum of all divisors σ(n): 602403110400
• Sum of proper divisors (its aliquot sum) s(n): 465363640560
• 137039469840 is an abundant number, because the sum of its proper divisors (465363640560) is greater than itself. Its abundance is 328324170720

Bases of 137039469840

• Binary: 1111111101000001100000101110100010000₂
• Hexadecimal: 0x1FE8305D10
• Base-36: 1QYDRFO0

Squares and roots of 137039469840

• 137039469840 squared (137039469840²) is 18779816294028269625600
• 137039469840 cubed (137039469840³) is 2573576068626227627464799291904000
• The square root of 137039469840 is 370188.4247785175
• The cube root of 137039469840 is 5155.6317546607

Scales and comparisons

• 137,039,469,840 seconds is equal to 4,357 years, 22 weeks, 2 days, 23 hours, 24 minutes.
• To count from 1 to 137,039,469,840 would take you about eight thousand, seven hundred fourteen 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 137039469840 cubic inches would be around 429.6 feet tall.

Recreational maths with 137039469840

• 137039469840 backwards is 048964930731
• 137039469840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137039469840's digits is 54
• More coming soon!