137439643320

Names of 137439643320

• Cardinal: 137439643320 can be written as One hundred thirty-seven billion, four hundred thirty-nine million, six hundred forty-three thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3743964332 × 10¹¹

Factors of 137439643320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 216

Divisors of 137439643320

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 49 54 56 59 60 63 67 70 72 73 81 84 90 98 105 108 118 120 126 134 135 140 146 147 162 168 177 180 189 196 201 210 216 219 236 243 245 252 268 270 280 292 294 295 315 324 335 354 360 365 378 392 402 405 413 420 438 441 469 472 486 490 504 511 531 536 540 567 584 588 590 603 630 648 657 670 708 730 735 756 804 810 826 840 876 882 885 938 945 972 980 1005 1022 1062 1080 1095 1134 1176 1180 1206 1215 1239 1260 1314 1323 1340 1407 1416 1460 1470 1512 1533 1593 1608 1620 1652 1701 1752 1764 1770 1809 1876 1890 1944 1960 1971 2010 2044 2065 2124 2190 2205 2268 2345 2360 2412 2430 2478 2520 2555 2628 2646 2655 2680 2814 2835 2891 2920 2940 3015 3066 3186 3240 3283 3285 3304 3402 3528 3540 3577 3618 3717 3752 3780 3942 3953 3969 4020 4088 4130 4221 4248 4307 4380 4410 4536 4599 4690 4779 4824 4860 4891 4956 5110 5256 5292 5310 5427 5628 5670 5782 5880 5913 6030 6132 6195 6372 6566 6570 6615 6804 7035 7080 7154 7236 7434 7560 7665 7884 7906 7938 7965 8040 8260 8442 8505 8614 8673 8760 8820 9045 9198 9380 9558 9720 9782 9849 9855 9912 10220 10584 10620 10731 10854 11151 11256 11340 11564 11826 11859 11907 12060 12264 12390 12663 12744 12921 13132 13140 13230 13608 13797 14070 14308 14337 14455 14472 14673 14868 15330 15768 15812 15876 15930 16281 16415 16520 16884 17010 17228 17346 17640 17739 17885 18090 18396 18585 18760 19116 19564 19698 19710 19765 19845 20440 21105 21240 21462 21535 21708 22302 22680 22995 23128 23652 23718 23814 23895 24120 24455 24780 25326 25842 26019 26264 26280 26460 27135 27594 27671 28140 28616 28674 28910 29346 29547 29565 29736 30149 30660 31624 31752 31860 32193 32562 32830 33453 33768 34020 34237 34456 34692 35478 35577 35770 36180 36792 37170 37989 38232 38763 39128 39396 39420 39530 39690 41391 42210 42924 43070 43365 43416 44019 44604 45990 47304 47436 47628 47790 48910 49245 49560 50652 51684 52038 52920 53655 54270 55188 55342 55755 56280 57348 57820 58692 59094 59130 59295 59535 60298 61320 63315 63720 64386 64605 65124 65660 66906 68040 68474 68985 69384 70956 71154 71540 71685 72360 73365 74340 75978 77526 78057 78792 78840 79060 79380 81405 82782 83013 84420 85848 86140 86730 88038 88641 88695 89208 90447 91980 94872 95256 95580 96579 97820 98490 100359 101304 102711 103368 104076 106731 107310 108540 110376 110684 111510 113967 114696 115640 116289 117384 118188 118260 118590 119070 120596 124173 126630 128772 129210 130095 130248 131320 132057 133812 136948 137970 138355 141912 142308 143080 143370 146730 147735 148680 150745 151956 155052 156114 158120 158760 160965 162810 165564 166026 167265 168840 171185 172280 173460 176076 177282 177390 177885 180894 183960 189945 191160 193158 193697 193815 195640 196980 200718 205422 206955 208152 211043 213462 214620 217080 220095 221368 223020 227934 232578 234171 236376 236520 237180 238140 239659 241192 248346 249039 253260 257544 258420 260190 264114 265923 267624 271341 273896 275940 276710 284616 286740 288569 289737 293460 295470 301490 303912 308133 310104 312228 320193 321930 325620 331128 332052 334530 342370 346920 348867 352152 354564 354780 355770 361788 379890 386316 387394 387630 390285 393960 396171 401436 410844 413910 415065 422086 426924 429240 440190 443205 446040 452235 455868 465156 468342 474360 476280 479318 482895 496692 498078 501795 506520 513555 516840 520380 528228 531846 533655 542682 551880 553420 569835 573480 577138 579474 581091 581445 586920 590940 602980 616266 620865 624456 633129 640386 643860 651240 660285 664104 669060 684740 697734 702513 709128 709560 711540 718977 723576 747117 759780 772632 774788 775260 780570 792342 797769 802872 814023 821688 827820 830130 844172 853848 865707 869211 880380 886410 904470 911736 924399 930312 936684 958636 960579 965790 968485 993384 996156 1003590 1027110 1040760 1046601 1055215 1056456 1063692 1067310 1085364 1106840 1139670 1154276 1158948 1162182 1162890 1170855 1181880 1188513 1198295 1205960 1232532 1241730 1245195 1266258 1280772 1287720 1320570 1329615 1338120 1356705 1369480 1395468 1405026 1423080 1437954 1442845 1448685 1494234 1519560 1540665 1549576 1550520 1561140 1584684 1595538 1600965 1628046 1655640 1660260 1688344 1731414 1738422 1743273 1744335 1760760 1772820 1808940 1848798 1873368 1899387 1917272 1921158 1931580 1936970 1980855 1992312 2007180 2019983 2054220 2093202 2110430 2127384 2134620 2156931 2170728 2241351 2279340 2308552 2317896 2324364 2325780 2341710 2377026 2396590 2442069 2465064 2483460 2490390 2532516 2561544 2597121 2641140 2659230 2713410 2773197 2790936 2810052 2875908 2885690 2897370 2905455 2988468 3081330 3122280 3165645 3169368 3191076 3201930 3256092 3320520 3462828 3476844 3486546 3488670 3512565 3545640 3594885 3617880 3697596 3735585 3798774 3842316 3863160 3873940 3961710 3988845 4014360 4039966 4070115 4108440 4186404 4220860 4269240 4313862 4328535 4346055 4482702 4558680 4621995 4648728 4651560 4683420 4754052 4793180 4802895 4884138 4966920 4980780 5065032 5194242 5229819 5233005 5282280 5318460 5426820 5546394 5620104 5698161 5751816 5771380 5794740 5810910 5942565 5976936 6059949 6162660 6331290 6382152 6403860 6470793 6512184 6724053 6925656 6953688 6973092 6977340 7025130 7189770 7326207 7395192 7471170 7597548 7684632 7747880 7791363 7923420 7977690 8079932 8140230 8319591 8372808 8441720 8627724 8657070 8692110 8716365 8965404 9243990 9366840 9496935 9508104 9586360 9605790 9768276 9961560 10099915 10388484 10459638 10466010 10636920 10784655 10853640 11092788 11206755 11396322 11542760 11589480 11621820 11885130 12119898 12210345 12325320 12662580 12807720 12941586 12985605 13448106 13865985 13946184 13954680 14050260 14139881 14379540 14652414 14942340 15195096 15582726 15689457 15846840 15955380 16159864 16280460 16639182 17094483 17255448 17314140 17384220 17432730 17930808 18179847 18487980 18993870 19211580 19412379 19536552 20199830 20776968 20919276 20932020 21569310 22185576 22413510 22792644 23243640 23374089 23770260 24239796 24420690 25325160 25883172 25971210 26149095 26896212 27731970 28100520 28279762 28490805 28759080 29304828 29884680 30299745 31165452 31378914 31910760 32353965 32560920 33278364 33620265 34188966 34628280 34768440 34865460 36359694 36631035 36975960 37987740 38423160 38824758 38956815 40399660 41597955 41838552 41864040 42419643 43138620 44827020 45585288 46748178 47068371 47540520 48479592 48841380 51283449 51766344 51942420 52298190 53792424 54539541 55463940 56559524 56981610 58237137 58609656 60599490 62330904 62757828 64707930 66556728 67240530 68377932 69730920 70122267 70699405 72719388 73262070 75975480 77649516 77913630 78447285 80799320 83195910 84839286 85472415 86277240 89654040 90899235 93496356 94136742 97061895 97682760 102566898 103884840 104596380 109079082 110927880 113119048 113963220 116474274 116870445 121198980 125515656 127258929 129415860 134481060 136755864 140244534 141398810 145438776 146524140 155299032 155827260 156894570 163618623 166391820 169678572 170944830 181798470 186992712 188273484 194123790 205133796 209192760 212098215 218158164 227926440 232948548 233740890 235341855 242397960 254517858 256417245 258831720 268962120 272697705 280489068 282797620 291185685 293048280 311654520 313789140 327237246 332783640 339357144 341889660 350611335 363596940 376546968 381776787 388247580 410267592 424196430 436316328 465897096 467481780 470683710 490855869 509035716 512834490 545395410 560978136 565595240 582371370 627578280 636294645 654474492 683779320 701222670 727193880 763553574 776495160 818093115 848392860 934963560 941367420 981711738 1018071432 1025668980 1090790820 1145330361 1164742740 1272589290 1308948984 1402445340 1527107148 1636186230 1696785720 1882734840 1908883935 1963423476 2051337960 2181581640 2290660722 2329485480 2454279345 2545178580 2804890680 3054214296 3272372460 3435991083 3817767870 3926846952 4581321444 4908558690 5090357160 5726651805 6544744920 6871982166 7635535740 9162642888 9817117380 11453303610 13743964332 15271071480 17179955415 19634234760 22906607220 27487928664 34359910830 45813214440 68719821660 137439643320
• Sum of all divisors σ(n): 563781254400
• Sum of proper divisors (its aliquot sum) s(n): 426341611080
• 137439643320 is an abundant number, because the sum of its proper divisors (426341611080) is greater than itself. Its abundance is 288901967760

Bases of 137439643320

• Binary: 10000000000000000010101000011010111000₂
• Hexadecimal: 0x20000A86B8
• Base-36: 1R500JI0

Squares and roots of 137439643320

• 137439643320 squared (137439643320²) is 18889655555928820622400
• 137439643320 cubed (137439643320³) is 2596187522044513417650916402368000
• The square root of 137439643320 is 370728.5304909779
• The cube root of 137439643320 is 5160.6452546243

Scales and comparisons

• 137,439,643,320 seconds is equal to 4,370 years, 8 weeks, 14 hours, 42 minutes.
• To count from 1 to 137,439,643,320 would take you about eight thousand, seven hundred forty 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 137439643320 cubic inches would be around 430.1 feet tall.

Recreational maths with 137439643320

• 137439643320 backwards is 023346934731
• 137439643320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137439643320's digits is 45
• More coming soon!