137311947198391

Names of 137311947198391

• Cardinal: 137311947198391 can be written as One hundred thirty-seven trillion, three hundred eleven billion, nine hundred forty-seven million, one hundred ninety-eight thousand, three hundred ninety-one.

Scientific notation

• Scientific notation: 1.37311947198391 × 10¹⁴

Factors of 137311947198391

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 2230

Divisors of 137311947198391

• Number of divisors d(n): 256
• Complete list of divisors:
  1 7 19 29 31 43 113 127 133 203 217 301 551 589 791 817 889 899 1247 1333 1861 2147 2413 3277 3503 3683 3857 3937 4123 4859 5461 5719 6293 8729 9331 13027 14351 15029 16891 17081 22939 23693 24521 25327 25781 27559 34013 35359 38227 38657 53969 57691 62263 66557 69977 74803 80023 92321 100457 101587 103759 114173 119567 140911 150629 158369 165851 169291 177289 210293 236347 247513 270599 272669 377783 403837 416179 435841 444881 465899 489839 523621 560161 617093 646247 711109 726313 734483 799211 986377 1025411 1054403 1096129 1108583 1185037 1472051 1520437 1654429 1673039 1908683 1930153 2169287 2320667 2480713 2677309 2861951 2913253 3009011 3114167 3216529 3995567 4319651 4368241 4490593 4909439 5141381 6098497 6519083 6854063 7177877 7326757 7672903 7907401 8452739 9042599 10162921 10643059 11711273 11724767 12901549 13511071 15185009 16244669 17364991 17895697 18741163 19129883 20033657 21063077 22515703 26707211 27968969 30577687 31434151 31787741 34366073 42689479 44092673 45633581 47133547 47978441 51287299 55351807 59169173 63298193 71140447 71940677 82073369 82996579 90310843 93279341 115871443 123862577 125269879 130227197 133909181 139208383 171809381 186950477 189053407 193095499 212475953 222514187 245129431 262235371 280320569 294724709 308648711 315050551 329934829 340018243 363467777 503584739 507437009 554766607 580976053 652955387 774509119 811100101 827923541 867038039 911590379 974458681 1148410073 1202665667 1323373849 1351668493 1366872863 1487331671 1715906017 1835647597 1962243983 2063072963 2205353857 2380127701 2544274439 3552059063 3592014733 3883366249 4037043107 4982472049 5326090811 5421563833 5599769471 5795464787 5985960469 8038870511 8129296501 9136465979 9568110041 10540565533 14715673261 15730547279 21819791387 24009782689 25144103131 28259301749 33303892117 34877304343 35600712263 37282635677 39198386297 41901723283 56905075507 63955261853 73783958731 103009712827 110113830953 152738539709 154456633519 168068478823 173592853601 233127244819 249204985841 456185871091 632773950223 676413532997 1032420655627 1081196434633 1215149975207 3193301097637 4429417651561 4734894730979 7226944589389 19615992456913 137311947198391
• Sum of all divisors σ(n): 183627782553600
• Sum of proper divisors (its aliquot sum) s(n): 46315835355209
• 137311947198391 is a deficient number, because the sum of its proper divisors (46315835355209) is less than itself. Its deficiency is 90996111843182

Bases of 137311947198391

• Binary: 11111001110001001101101110101100000111110110111₂
• Hexadecimal: 0x7CE26DD60FB7
• Base-36: 1CO88K2LYV

Squares and roots of 137311947198391

• 137311947198391 squared (137311947198391²) is 18854570843413717993912988881
• 137311947198391 cubed (137311947198391³) is 2588957836099146908448817578369853084090471
• The square root of 137311947198391 is 11718018.0576064569
• The cube root of 137311947198391 is 51590.4649566957

Scales and comparisons

• 137,311,947,198,391 seconds is equal to 4,366,095 years, 9 weeks, 5 days, 3 hours, 6 minutes, 31 seconds.
• To count from 1 to 137,311,947,198,391 would take you about ten million, nine hundred fifteen thousand, two hundred thirty-seven 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 137311947198391 cubic inches would be around 4299.2 feet tall.

Recreational maths with 137311947198391

• 137311947198391 backwards is 193891749113731
• The number of decimal digits it has is: 15
• The sum of 137311947198391's digits is 67
• More coming soon!