137163916890

Names of 137163916890

• Cardinal: 137163916890 can be written as One hundred thirty-seven billion, one hundred sixty-three million, nine hundred sixteen thousand, eight hundred ninety.

Scientific notation

• Scientific notation: 1.3716391689 × 10¹¹

Factors of 137163916890

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 41

Divisors of 137163916890

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 27 30 33 35 39 42 45 49 54 55 63 65 66 70 77 78 81 90 91 98 99 105 110 117 121 126 130 135 143 147 154 162 165 169 182 189 195 198 210 231 234 242 245 270 273 286 294 297 315 330 338 351 363 378 385 390 405 429 441 455 462 490 495 507 539 546 567 585 594 605 630 637 693 702 715 726 735 770 810 819 845 847 858 882 891 910 945 990 1001 1014 1053 1078 1089 1134 1155 1170 1183 1210 1274 1287 1323 1365 1386 1430 1470 1485 1521 1573 1617 1638 1690 1694 1755 1782 1815 1859 1890 1911 2002 2079 2106 2145 2178 2197 2205 2310 2366 2457 2535 2541 2574 2646 2695 2730 2835 2970 3003 3042 3146 3185 3234 3267 3465 3510 3549 3630 3718 3822 3861 3969 4095 4158 4235 4290 4394 4410 4455 4563 4719 4851 4914 5005 5070 5082 5265 5390 5445 5577 5670 5733 5915 5929 6006 6237 6370 6435 6534 6591 6615 6930 7007 7098 7371 7605 7623 7722 7865 7938 8085 8190 8281 8470 8910 9009 9126 9295 9438 9555 9702 9801 10010 10395 10530 10647 10890 10985 11011 11154 11466 11583 11830 11858 12285 12474 12705 12870 13013 13182 13230 13689 14014 14157 14553 14742 15015 15210 15246 15379 15730 16170 16335 16562 16731 17199 17745 17787 18018 18590 19110 19305 19602 19773 19845 20449 20790 21021 21294 21970 22022 22815 22869 23166 23595 24167 24255 24570 24843 25410 26026 27027 27378 27885 28314 28561 28665 29106 29645 30030 30758 31185 31941 32670 32955 33033 33462 34398 35035 35490 35574 36855 38115 38610 39039 39546 39690 40898 41405 42042 42471 43659 45045 45630 45738 46137 47190 48334 48510 49005 49686 50193 51597 53235 53361 54054 55055 55770 57122 57330 57915 59290 59319 61347 62370 63063 63882 65065 65910 66066 68445 68607 70070 70785 72501 72765 73710 74529 76230 76895 77077 78078 81081 82810 83655 84942 85683 85995 87318 88935 90090 91091 92274 95823 98010 98865 99099 100386 102245 103194 105105 106470 106722 107653 110110 114345 115830 117117 118638 120835 122694 124215 126126 127413 130130 135135 136890 137214 138411 141570 142805 143143 145002 145530 149058 150579 153790 154154 159705 160083 162162 165165 167310 169169 171366 171990 177870 177957 182182 184041 189189 191646 195195 197730 198198 199927 204490 210210 212355 215306 217503 218295 223587 228690 230685 231231 234234 241670 248430 250965 254826 257049 257985 265837 266805 270270 273273 276822 285610 286286 296595 297297 301158 306735 314171 315315 319410 320166 322959 330330 338338 343035 351351 355914 362505 368082 372645 378378 385385 390390 399854 405405 415233 424710 428415 429429 435006 436590 447174 455455 461370 462462 479115 480249 495495 501930 507507 514098 515970 531674 533610 538265 546546 552123 567567 585585 593190 594594 599781 613470 628342 630630 637065 645918 652509 670761 686070 692055 693693 702702 715715 725010 745290 752895 770770 771147 797511 800415 810810 819819 830466 845845 856830 858858 889785 891891 910910 920205 942513 945945 958230 960498 968877 990990 999635 1002001 1015014 1054053 1076530 1087515 1104246 1117935 1135134 1156155 1171170 1184183 1199562 1245699 1274130 1285245 1288287 1305018 1329185 1341522 1366365 1384110 1387386 1399489 1431430 1486485 1505790 1522521 1542294 1570855 1595022 1600830 1614795 1639638 1656369 1691690 1756755 1779570 1783782 1799343 1840410 1860859 1885026 1891890 1937754 1957527 1999270 2004002 2076165 2081079 2108106 2147145 2175030 2199197 2235870 2312310 2313441 2368366 2392533 2401245 2459457 2491398 2537535 2570490 2576574 2658370 2732730 2760615 2798978 2827539 2837835 2906631 2972970 2998905 3006003 3045042 3141710 3229590 3262545 3312738 3353805 3455881 3468465 3513510 3552549 3598686 3721718 3855735 3864861 3915054 3987555 4099095 4152330 4162158 4198467 4294290 4398394 4459455 4567563 4626882 4712565 4785066 4802490 4844385 4918914 5010005 5075070 5270265 5398029 5521230 5582577 5655078 5675670 5813262 5920915 5997810 6012006 6228495 6243237 6441435 6525090 6597591 6707610 6911762 6936930 6997445 7105098 7177599 7378371 7612605 7711470 7729722 7975110 8198190 8281845 8396934 8482617 8719893 8918910 8996715 9018009 9135126 9304295 9425130 9688770 9787635 10020010 10367643 10405395 10540530 10657647 10796058 10995985 11165154 11567205 11594583 11841830 11962665 12297285 12456990 12486474 12595401 12882870 13026013 13195182 13702689 13994890 14137695 14355198 14533155 14756742 15030015 15225210 15394379 16194087 16563690 16747731 16965234 17279405 17439786 17762745 17993430 18036018 18608590 19324305 19575270 19792773 20735286 20810790 20992335 21315294 21532797 21991970 22837815 23134410 23189166 23925330 24191167 24594570 25190802 25447851 26052026 26990145 27054027 27405378 27912885 28275390 29066310 30060030 30788758 31102929 31216185 31972941 32388174 32987955 33495462 34558810 35525490 35887995 36891855 37786203 38648610 39078039 39585546 41984670 42413085 43065594 43599465 45090045 45675630 46183137 48382334 50243193 50895702 51838215 53288235 53980290 54108054 55825770 57972915 59378319 62205858 62432370 62977005 63945882 65130065 65975910 68513445 71775990 72573501 73783710 75572406 76971895 78156078 80970435 81162081 83738655 84826170 87198930 90180090 92366274 93308787 95918823 98963865 100486386 103676430 106576470 107663985 113358609 115945830 117234117 118756638 120955835 125954010 127239255 130260130 135270135 137026890 138549411 145147002 150729579 153943790 155514645 159864705 161940870 162324162 167477310 169338169 178134957 186617574 188931015 191837646 195390195 197927730 215327970 217720503 226717218 230915685 234468234 241911670 251215965 254478510 270540270 277098822 279926361 296891595 301459158 311029290 319729410 338676338 351702351 356269914 362867505 377862030 390780390 405810405 415648233 435441006 461831370 466543935 479594115 502431930 508014507 559852722 566793045 586170585 593783190 653161509 692747055 703404702 725735010 753647895 811620810 831296466 846690845 890674785 933087870 959188230 1016029014 1055107053 1088602515 1133586090 1172341170 1246944699 1306323018 1385494110 1399631805 1507295790 1524043521 1693381690 1758511755 1781349570 1959484527 2078241165 2110214106 2177205030 2493889398 2540072535 2799263610 3048087042 3265807545 3517023510 3918969054 4156482330 4572130563 5080145070 5275535265 6234723495 6531615090 7620217605 9144261126 9797422635 10551070530 12469446990 13716391689 15240435210 19594845270 22860652815 27432783378 45721305630 68581958445 137163916890
• Sum of all divisors σ(n): 510879784338
• Sum of proper divisors (its aliquot sum) s(n): 373715867448
• 137163916890 is an abundant number, because the sum of its proper divisors (373715867448) is greater than itself. Its abundance is 236551950558

Bases of 137163916890

• Binary: 1111111101111100110110100011001011010₂
• Hexadecimal: 0x1FEF9B465A
• Base-36: 1R0FURMI

Squares and roots of 137163916890

• 137163916890 squared (137163916890²) is 18813940096606827272100
• 137163916890 cubed (137163916890³) is 2580593715784417426956909815769000
• The square root of 137163916890 is 370356.4727259401
• The cube root of 137163916890 is 5157.1919111271

Scales and comparisons

• 137,163,916,890 seconds is equal to 4,361 years, 20 weeks, 1 day, 8 hours, 1 minute, 30 seconds.
• To count from 1 to 137,163,916,890 would take you about eight thousand, seven hundred twenty-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 137163916890 cubic inches would be around 429.8 feet tall.

Recreational maths with 137163916890

• 137163916890 backwards is 098619361731
• 137163916890 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137163916890's digits is 54
• More coming soon!