137688705852584985

Names of 137688705852584985

• Cardinal: 137688705852584985 can be written as One hundred thirty-seven quadrillion, six hundred eighty-eight trillion, seven hundred five billion, eight hundred fifty-two million, five hundred eighty-four thousand, nine hundred eighty-five.

Scientific notation

• Scientific notation: 1.37688705852584985 × 10¹⁷

Factors of 137688705852584985

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7792397

Divisors of 137688705852584985

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 5 7 9 15 19 21 35 45 49 57 63 79 95 105 133 147 171 237 245 281 285 315 361 395 399 441 553 665 711 735 843 855 931 1083 1185 1197 1405 1501 1659 1805 1967 1995 2205 2527 2529 2765 2793 3249 3555 3871 4215 4503 4655 4977 5339 5415 5901 5985 7505 7581 8295 8379 9835 10507 11613 12635 12645 13509 13769 13965 16017 16245 17689 17703 19355 22199 22515 22743 24885 26695 28519 29505 31521 34839 37373 37905 41307 41895 48051 52535 53067 58065 66597 67545 68845 73549 80085 85557 88445 88515 94563 101441 110995 112119 113715 123921 142595 155393 157605 159201 174195 186865 199633 199791 206535 220647 240255 256671 261611 265335 304323 332985 336357 367745 421781 427785 466179 472815 507205 560595 598899 619605 661941 710087 776965 784833 796005 912969 998165 998955 1087751 1103235 1265343 1283355 1308055 1397431 1398537 1521615 1681785 1796697 2108905 2130261 2330895 2354499 2952467 2994495 3263253 3309705 3550435 3796029 3924165 4192293 4564845 4970609 5438755 6326715 6390783 6987155 6992685 7792003 8013839 8857401 8983485 9789759 10651305 11772495 12576879 14762335 14911827 16316265 18980145 20667269 20961465 23376009 24041517 24853045 26572203 31953915 38960015 40069195 44287005 44735481 48948795 54544021 56096873 62001807 62884395 70128027 72124551 74559135 103336345 116880045 120207585 132861015 148048057 163632063 168290619 186005421 223677405 272720105 280484365 310009035 350640135 360622755 381808147 392678111 444144171 490896189 504871857 615568237 740240285 818160315 841453095 930027105 1036336399 1145424441 1178034333 1332432513 1846704711 1909040735 1963390555 2189552843 2220720855 2454480945 2524359285 2812913083 3077841185 3109009197 3436273323 3534102999 4308977659 5181681995 5540114133 5727122205 5890171665 6568658529 6662162565 7254354793 8438739249 9233523555 9327027591 10947764215 11695796503 12926932977 14064565415 15326869901 15545045985 17181366615 17670514995 19690391581 19705975587 21544888295 21763064379 25316217747 27700570665 30162843613 32843292645 35087389509 36271773965 38780798931 41601504017 42193696245 45980609703 46635137955 58478982515 59071174743 64634664885 65289193137 76634349505 81870575521 90488530839 98451957905 98529877935 105262168527 107288089307 108815321895 124804512051 126581088735 137832741067 137941829109 150814218065 172974674597 175436947545 177213524229 193903994655 208007520085 222220133557 229903048515 245611726563 271465592517 291210528119 295355873715 321864267921 326445965685 374413536153 409352877605 413498223201 452442654195 518924023791 526310842635 536440446535 573094028647 624022560255 666660400671 689163705335 689709145545 736835179689 790428576323 864873372985 873631584357 886067621145 965592803763 1111100667785 1210822722179 1228058632815 1240494669603 1357327962585 1456052640595 1555540934899 1556772071373 1609321339605 1719282085941 1872067680765 1999981202013 2038473696833 2067491116005 2371285728969 2594620118955 2620894753071 2865470143235 3286518817343 3333302003355 3632468166537 3684175898445 3952142881615 4368157921785 4666622804697 4827964018815 5157846257823 5533000034261 6054113610895 6115421090499 6202473348015 7113857186907 7777704674495 7783860356865 8475759055253 8596410429705 9859556452029 9999906010065 10192368484165 10888786544293 10897404499611 11856428644845 13104473765355 13999868414091 16432594086715 16599000102783 18162340832685 18346263271497 23005631721401 23333114023485 25427277165759 25789231289115 27665000171305 29578669356087 30577105452495 32666359632879 35569285934535 38731000239827 42378795276265 49297782260145 49797000308349 54443932721465 54487022498055 62443857529517 69016895164203 69999342070455 76281831497277 82995000513915 91731316357485 97999078898637 115028158607005 116193000719481 127136385828795 147893346780435 161039422049807 163331798164395 187331572588551 193655001199135 207050685492609 248985001541745 312219287647585 345084475821015 348579002158443 381409157486385 437107002706619 483118266149421 489995394493185 561994717765653 580965003597405 805197110249035 936657862942755 1035253427463045 1311321008119857 1449354798448263 1742895010792215 2185535013533095 2415591330747105 2809973588828265 3059749018946333 3933963024359571 6556605040599285 7246773992241315 9179247056838999 15298745094731665 19669815121797855 27537741170516997 45896235284194995 137688705852584985
• Sum of all divisors σ(n): 297771203463402240
• Sum of proper divisors (its aliquot sum) s(n): 160082497610817255
• 137688705852584985 is an abundant number, because the sum of its proper divisors (160082497610817255) is greater than itself. Its abundance is 22393791758232270

Bases of 137688705852584985

• Binary: 111101001001010110010011000000001111011010011010000011001₂
• Hexadecimal: 0x1E92B2601ED3419
• Base-36: 11NQKM8VLD09

Squares and roots of 137688705852584985

• 137688705852584985 squared (137688705852584985²) is 18958179719359670701090006647450225
• 137688705852584985 cubed (137688705852584985³) is 2610327230879355859717094158022575833374875369871625
• The square root of 137688705852584985 is 371064288.0318516785
• The cube root of 137688705852584985 is 516376.0677324287

Scales and comparisons

• 137,688,705,852,584,985 seconds is equal to 4,378,074,946 years, 51 weeks, 5 hours, 9 minutes, 45 seconds.
• To count from 1 to 137,688,705,852,584,985 would take you about thirteen billion, one hundred thirty-four million, two hundred twenty-four thousand, eight hundred forty 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 137688705852584985 cubic inches would be around 43031.3 feet tall.

Recreational maths with 137688705852584985

• 137688705852584985 backwards is 589485258507886731
• The number of decimal digits it has is: 18
• The sum of 137688705852584985's digits is 99
• More coming soon!