137931284272474

Names of 137931284272474

• Cardinal: 137931284272474 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, two hundred eighty-four million, two hundred seventy-two thousand, four hundred seventy-four.

Scientific notation

• Scientific notation: 1.37931284272474 × 10¹⁴

Factors of 137931284272474

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 385

Divisors of 137931284272474

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 7 11 14 22 31 49 62 77 83 98 121 154 166 217 242 251 341 343 434 502 539 581 682 686 847 913 961 1078 1162 1519 1694 1757 1826 1922 2387 2573 2761 3038 3514 3751 3773 4067 4774 5146 5522 5929 6391 6727 6889 7502 7546 7781 8134 10043 10571 10633 11858 12299 12782 13454 13778 15562 16709 18011 19327 20086 20833 21142 21266 24598 26257 28303 28469 30371 33418 36022 38654 41503 41666 44737 47089 48223 52514 54467 56606 56938 60742 70301 73997 75779 79763 83006 85591 86093 89474 94178 96446 108934 116281 116963 126077 135289 140602 145831 147994 151558 159526 171182 172186 183799 198121 212597 213559 229163 232562 233926 241211 252154 270578 291662 311333 313159 329623 337561 367598 381269 396242 425194 427118 458326 482422 492107 517979 530453 558341 599137 622666 626318 645823 659246 675122 762538 813967 833569 877393 882539 941501 947023 984214 1020817 1035958 1060906 1116682 1198274 1286593 1291646 1386847 1488179 1494913 1604141 1627934 1667138 1688477 1729139 1754786 1765078 1883002 1894046 2041634 2179331 2349149 2362927 2520793 2573186 2653321 2668883 2773694 2976358 2989826 3208282 3376954 3444749 3458278 3625853 3713171 3908387 4193959 4358662 4520761 4698298 4725854 5041586 5306642 5337766 5697769 5834983 6141751 6590507 6620329 6889498 7104053 7145719 7251706 7426342 7816774 8387918 9041522 9651323 9707929 10417253 10464391 11228987 11395538 11669966 11819339 12103973 12283502 13181014 13240658 14208106 14291438 15255317 16444043 17645551 18573247 19020529 19302646 19415858 20020513 20834506 20928782 22457974 23638678 24207946 25840639 25992197 27358709 29186531 29357713 30510634 31645327 32888086 35291102 37146494 38041058 39884383 40041026 40844881 42992257 46133549 46342303 49728371 51681278 51984394 53603309 54717418 58373062 58715426 63290654 67559261 72823619 73250737 78144583 78602909 79768766 81689762 82735373 84727811 85984514 92267098 92684606 99456742 106787219 107206618 115108301 123518857 130012729 133143703 135118522 140143591 145647238 146501474 156289166 157205818 165470746 169455622 180884473 204305717 209225819 213574438 220225643 221517289 230216602 247037714 260025458 266287406 280287182 285914167 300945799 322934843 324396121 348098597 361768946 375223163 408611434 418451638 440451286 443034578 472914827 509765333 547012081 571828334 589636399 593094677 601891598 645869686 648792242 696197194 750446326 801059809 805758107 864631999 910089103 932005921 945829654 981005137 1019530666 1094024162 1179272798 1186189354 1266191311 1430140019 1464580733 1541579501 1602119618 1611516214 1661702579 1729263998 1820178206 1864011842 1962010274 2270772847 2422482073 2436690179 2532382622 2626562141 2860280038 2929161466 3083159002 3310403789 3323405158 3568357331 3829084567 4127454793 4541545694 4844964146 4873380358 5253124282 5607418663 6486000389 6524041447 6620807578 6867035959 7136714662 7658169134 8254909586 8863339177 10010980133 10252065131 10791056507 11214837326 11631918053 12972000778 13048082894 13734071918 16957374511 17726678354 18278728369 18385934987 20021960266 20504130262 21582113014 23263836106 24978501317 26803591969 28892183551 33914749022 36557456738 36771869974 39251930641 45402002723 49957002634 53607183938 57784367102 71764455917 75537395549 78503861282 81423426371 90804005446 118701621577 127951098583 143528911834 151074791098 162846852742 201066012059 202245284857 237403243154 255902197166 274763514487 317814019061 402132024118 404490569714 549527028974 569963984597 635628038122 830911351039 895657690081 1139927969194 1407462084413 1661822702078 1791315380162 2224698133427 2814924168826 4449396266854 6269603830567 9852234590891 12539207661134 19704469181782 68965642136237 137931284272474
• Sum of all divisors σ(n): 278485342228800
• Sum of proper divisors (its aliquot sum) s(n): 140554057956326
• 137931284272474 is an abundant number, because the sum of its proper divisors (140554057956326) is greater than itself. Its abundance is 2622773683852

Bases of 137931284272474

• Binary: 11111010111001010100001001100111101010101011010₂
• Hexadecimal: 0x7D72A133D55A
• Base-36: 1CW4R9DISA

Squares and roots of 137931284272474

• 137931284272474 squared (137931284272474²) is 19025039181054033427474080676
• 137931284272474 cubed (137931284272474³) is 2624148087576919829848937528477840642112424
• The square root of 137931284272474 is 11744415.0247031887
• The cube root of 137931284272474 is 51667.9138344191

Scales and comparisons

• 137,931,284,272,474 seconds is equal to 4,385,788 years, 9 weeks, 6 days, 7 hours, 14 minutes, 34 seconds.
• To count from 1 to 137,931,284,272,474 would take you about ten million, nine hundred sixty-four thousand, four hundred seventy 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 137931284272474 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137931284272474

• 137931284272474 backwards is 474272482139731
• The number of decimal digits it has is: 15
• The sum of 137931284272474's digits is 64
• More coming soon!