137957359680

Names of 137957359680

• Cardinal: 137957359680 can be written as One hundred thirty-seven billion, nine hundred fifty-seven million, three hundred fifty-nine thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3795735968 × 10¹¹

Factors of 137957359680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 166

Divisors of 137957359680

• Number of divisors d(n): 924
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 149 160 162 168 180 189 192 196 210 216 224 240 243 245 252 270 280 288 294 298 315 320 324 336 360 378 392 405 420 432 441 447 448 480 486 490 504 540 560 567 576 588 596 630 648 672 720 729 735 745 756 784 810 840 864 882 894 945 960 972 980 1008 1043 1080 1120 1134 1176 1192 1215 1260 1296 1323 1341 1344 1440 1458 1470 1490 1512 1568 1620 1680 1701 1728 1764 1788 1890 1944 1960 2016 2086 2160 2187 2205 2235 2240 2268 2352 2384 2430 2520 2592 2646 2682 2835 2880 2916 2940 2980 3024 3129 3136 3240 3360 3402 3528 3576 3645 3780 3888 3920 3969 4023 4032 4172 4320 4374 4410 4470 4536 4704 4768 4860 5040 5103 5184 5215 5292 5364 5670 5832 5880 5960 6048 6258 6480 6561 6615 6705 6720 6804 7056 7152 7290 7301 7560 7776 7840 7938 8046 8344 8505 8640 8748 8820 8940 9072 9387 9408 9536 9720 10080 10206 10430 10584 10728 10935 11340 11664 11760 11907 11920 12069 12096 12516 12960 13122 13230 13410 13608 14112 14304 14580 14602 15120 15309 15552 15645 15680 15876 16092 16688 17010 17496 17640 17880 18144 18774 19440 19683 19845 20115 20160 20412 20860 21168 21456 21870 21903 22680 23328 23520 23814 23840 24138 25032 25515 25920 26244 26460 26820 27216 28161 28224 28608 29160 29204 30240 30618 31290 31752 32184 32805 33376 34020 34992 35280 35721 35760 36207 36288 36505 37548 38880 39366 39690 40230 40824 41720 42336 42912 43740 43806 45360 45927 46656 46935 47040 47628 47680 48276 50064 51030 52488 52920 53640 54432 56322 58320 58408 59049 59535 60345 60480 61236 62580 63504 64368 65610 65709 66752 68040 69984 70560 71442 71520 72414 73010 75096 76545 77760 78732 79380 80460 81648 83440 84483 84672 85824 87480 87612 90720 91854 93870 95256 96552 98415 100128 102060 104976 105840 107163 107280 108621 108864 109515 112644 116640 116816 118098 119070 120690 122472 125160 127008 128736 131220 131418 136080 137781 139968 140805 141120 142884 143040 144828 146020 150192 153090 157464 158760 160920 163296 166880 168966 174960 175224 178605 181035 181440 183708 187740 190512 193104 196830 197127 200256 204120 209952 211680 214326 214560 217242 219030 225288 229635 233280 233632 236196 238140 241380 244944 250320 253449 254016 257472 262440 262836 272160 275562 281610 285768 289656 292040 295245 300384 306180 314928 317520 321489 321840 325863 326592 328545 333760 337932 349920 350448 357210 362070 367416 375480 381024 386208 393660 394254 408240 413343 419904 422415 423360 428652 429120 434484 438060 450576 459270 467264 472392 476280 482760 489888 500640 506898 524880 525672 535815 543105 544320 551124 563220 571536 579312 584080 590490 591381 600768 612360 629856 635040 642978 643680 651726 657090 675864 688905 699840 700896 714420 724140 734832 750960 760347 762048 772416 787320 788508 816480 826686 844830 857304 868968 876120 901152 918540 944784 952560 964467 965520 977589 979776 985635 1001280 1013796 1049760 1051344 1071630 1086210 1102248 1126440 1143072 1158624 1168160 1180980 1182762 1224720 1259712 1267245 1270080 1285956 1287360 1303452 1314180 1351728 1377810 1401792 1428840 1448280 1469664 1501920 1520694 1574640 1577016 1607445 1629315 1632960 1653372 1689660 1714608 1737936 1752240 1774143 1802304 1837080 1889568 1905120 1928934 1931040 1955178 1971270 2027592 2066715 2099520 2102688 2143260 2172420 2204496 2252880 2281041 2286144 2317248 2336320 2361960 2365524 2449440 2534490 2571912 2606904 2628360 2703456 2755620 2857680 2893401 2896560 2932767 2939328 2956905 3003840 3041388 3149280 3154032 3214890 3258630 3306744 3379320 3429216 3475872 3504480 3548286 3674160 3779136 3801735 3810240 3857868 3862080 3910356 3942540 4055184 4133430 4205376 4286520 4344840 4408992 4505760 4562082 4723920 4731048 4822335 4887945 4898880 5068980 5143824 5213808 5256720 5322429 5406912 5511240 5715360 5786802 5793120 5865534 5913810 6082776 6298560 6308064 6429780 6517260 6613488 6758640 6843123 6858432 6951744 7008960 7096572 7348320 7603470 7715736 7820712 7885080 8110368 8266860 8573040 8689680 8798301 8817984 8870715 9011520 9124164 9447840 9462096 9644670 9775890 10137960 10287648 10427616 10513440 10644858 11022480 11405205 11430720 11573604 11586240 11731068 11827620 12165552 12616128 12859560 13034520 13226976 13517280 13686246 14193144 14467005 14663835 14696640 15206940 15431472 15641424 15770160 15967287 16220736 16533720 17146080 17379360 17596602 17741430 18248328 18895680 18924192 19289340 19551780 20275920 20529369 20575296 20855232 21026880 21289716 22044960 22810410 23147208 23462136 23655240 24331104 25719120 26069040 26453952 26612145 27034560 27372492 28386288 28934010 29327670 30413880 30862944 31282848 31540320 31934574 33067440 34215615 34292160 34758720 35193204 35482860 36496656 37848384 38578680 39103560 40551840 41058738 42579432 43991505 44089920 45620820 46294416 46924272 47310480 47901861 48662208 51438240 52138080 53224290 54744984 56772576 57868020 58655340 60827760 61588107 61725888 62565696 63080640 63869148 66134880 68431230 70386408 70965720 72993312 77157360 78207120 79836435 81103680 82117476 85158864 87983010 91241640 92588832 93848544 94620960 95803722 102646845 102876480 104276160 106448580 109489968 113545152 115736040 117310680 121655520 123176214 127738296 132269760 136862460 140772816 141931440 143705583 145986624 154314720 156414240 159672870 164234952 170317728 175966020 182483280 185177664 187697088 189241920 191607444 205293690 212897160 218979936 231472080 234621360 239509305 243311040 246352428 255476592 273724920 281545632 283862880 287411166 307940535 308629440 312828480 319345740 328469904 340635456 351932040 364966560 383214888 410587380 425794320 431116749 437959872 462944160 469242720 479018610 492704856 510953184 547449840 563091264 567725760 574822332 615881070 638691480 656939808 703864080 718527915 729933120 766429776 821174760 851588640 862233498 925888320 938485440 958037220 985409712 1021906368 1094899680 1149644664 1231762140 1277382960 1313879616 1407728160 1437055830 1532859552 1642349520 1703177280 1724466996 1916074440 1970819424 2155583745 2189799360 2299289328 2463524280 2554765920 2815456320 2874111660 3065719104 3284699040 3448933992 3832148880 3941638848 4311167490 4598578656 4927048560 5109531840 5748223320 6569398080 6897867984 7664297760 8622334980 9197157312 9854097120 11496446640 13795735968 15328595520 17244669960 19708194240 22992893280 27591471936 34489339920 45985786560 68978679840 137957359680
• Sum of all divisors σ(n): 577061952300
• Sum of proper divisors (its aliquot sum) s(n): 439104592620
• 137957359680 is an abundant number, because the sum of its proper divisors (439104592620) is greater than itself. Its abundance is 301147232940

Bases of 137957359680

• Binary: 10000000011110111001100100000001000000₂
• Hexadecimal: 0x201EE64040
• Base-36: 1RDK9000

Squares and roots of 137957359680

• 137957359680 squared (137957359680²) is 19032233089876889702400
• 137957359680 cubed (137957359680³) is 2625636625893743839593684959232000
• The square root of 137957359680 is 371426.1160446315
• The cube root of 137957359680 is 5167.1169506321

Scales and comparisons

• 137,957,359,680 seconds is equal to 4,386 years, 32 weeks, 16 hours, 48 minutes.
• To count from 1 to 137,957,359,680 would take you about eight thousand, seven hundred seventy-three 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 137957359680 cubic inches would be around 430.6 feet tall.

Recreational maths with 137957359680

• 137957359680 backwards is 086953759731
• 137957359680 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137957359680's digits is 63
• More coming soon!