137501824320819

Names of 137501824320819

• Cardinal: 137501824320819 can be written as One hundred thirty-seven trillion, five hundred one billion, eight hundred twenty-four million, three hundred twenty thousand, eight hundred nineteen.

Scientific notation

• Scientific notation: 1.37501824320819 × 10¹⁴

Factors of 137501824320819

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 8207

Divisors of 137501824320819

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 9 17 21 51 63 83 97 119 153 249 291 357 581 679 747 873 1071 1411 1649 1743 2037 3769 4231 4233 4947 5229 6111 8051 9877 11307 11543 12693 12699 14841 24153 26383 29617 29631 33921 34629 38079 56357 64073 71927 72459 79149 88851 88893 103887 136867 169071 192219 215781 237447 266553 312827 351173 365593 410407 410601 448511 503489 507213 576657 647343 938481 958069 1053519 1096779 1231221 1231803 1345533 1510467 2189789 2458211 2559151 2815443 2872849 2874207 3160557 3290337 3693663 4036599 4531401 5318059 5969941 6215081 6569367 6976919 7374633 7677453 8618547 8622621 15946639 15954177 17909823 18645243 19708101 20930757 22123899 23032359 25855641 30344219 34063781 37226413 41789587 43505567 47839917 47862531 48838433 53729469 55935729 62792271 91032657 102191343 111626473 111679239 125368761 130516701 143519751 146515299 212409533 238446467 271092863 273097971 306574029 334879419 335037717 376106283 391550103 439545897 515851723 579084277 637228599 715339401 813278589 1004638257 1323571037 1546823983 1547555169 1737252831 1897650041 1911685797 2146018203 2439835767 3610962061 3970713111 4053589939 4640471949 4642665507 5211758493 5692950123 9264997259 10827767881 10832886183 11912139333 12160769817 13921415847 17078850369 22500707629 26296007711 27794991777 32483303643 32498658549 36482309451 67502122887 78888023133 83384975331 97449910929 128386390589 157504953403 184072053977 202506368661 236664069399 385159171767 472514860209 552216161931 898704734123 1155477515301 1417544580627 1656648485793 2182568640013 2696114202369 6547705920039 8088342607107 15277980480091 19643117760117 45833941440273 137501824320819
• Sum of all divisors σ(n): 245865852610560
• Sum of proper divisors (its aliquot sum) s(n): 108364028289741
• 137501824320819 is a deficient number, because the sum of its proper divisors (108364028289741) is less than itself. Its deficiency is 29137796031078

Bases of 137501824320819

• Binary: 11111010000111010100011011001010000010100110011₂
• Hexadecimal: 0x7D0EA3650533
• Base-36: 1CQNGS0BAR

Squares and roots of 137501824320819

• 137501824320819 squared (137501824320819²) is 18906751691553371450636830761
• 137501824320819 cubed (137501824320819³) is 2599712849569319138744551266638665471913259
• The square root of 137501824320819 is 11726117.1886016473
• The cube root of 137501824320819 is 51614.2340397005

Scales and comparisons

• 137,501,824,320,819 seconds is equal to 4,372,132 years, 36 weeks, 13 minutes, 39 seconds.
• To count from 1 to 137,501,824,320,819 would take you about ten million, nine hundred thirty thousand, three hundred thirty-one 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 137501824320819 cubic inches would be around 4301.2 feet tall.

Recreational maths with 137501824320819

• 137501824320819 backwards is 918023428105731
• The number of decimal digits it has is: 15
• The sum of 137501824320819's digits is 54
• More coming soon!