137508978674964961

Names of 137508978674964961

• Cardinal: 137508978674964961 can be written as One hundred thirty-seven quadrillion, five hundred eight trillion, nine hundred seventy-eight billion, six hundred seventy-four million, nine hundred sixty-four thousand, nine hundred sixty-one.

Scientific notation

• Scientific notation: 1.37508978674964961 × 10¹⁷

Factors of 137508978674964961

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 956

Divisors of 137508978674964961

• Number of divisors d(n): 135
• Complete list of divisors:
  1 19 23 31 361 437 529 589 713 883 961 8303 10051 11191 13547 16399 16777 18259 20309 22103 27373 29791 190969 257393 311581 318763 346921 385871 419957 467107 508369 520087 566029 629579 685193 779689 848563 923521 5920039 7331549 7979183 8875033 9659011 9881653 10754551 11962001 13018667 14480317 14814091 15759439 16122697 17546899 17932847 19516949 21240983 24170359 26305453 168625627 183521209 227278019 247354673 275126023 281467729 299429341 306331243 333391081 340724093 370822031 403578677 412455481 448889827 459236821 488542609 499803607 555918257 605025419 749281129 815469043 5227394437 5689157479 6473757767 7045618589 7667994863 7836654139 8528906713 8725499599 9282309571 9496268533 10562446883 11495482961 12786119911 13915584637 14236341451 15493911817 17233465967 18755787989 23227714999 148896428641 162049227547 176363881849 200686490777 218414176259 242936278309 264396108103 270490487569 294384324523 327435853373 356359971791 396369717241 431383123747 441326584981 534237444977 720059164969 4615789287871 5023526053957 6221281214087 6770839464029 7531024627579 8196279351193 8385205114639 10150511454563 12287461234471 13681124134411 16561360794287 143089467924001 155729307672667 192859717636697 233461763454949 259941358553809 314665855091453 380911298268601 4435773505644031 5978651246737607 7237314667103419 137508978674964961
• Sum of all divisors σ(n): 156946209489368145
• Sum of proper divisors (its aliquot sum) s(n): 19437230814403184
• 137508978674964961 is a deficient number, because the sum of its proper divisors (19437230814403184) is less than itself. Its deficiency is 118071747860561777

Bases of 137508978674964961

• Binary: 111101000100001111011000000000011010110010001100111100001₂
• Hexadecimal: 0x1E887B0035919E1
• Base-36: 11LYV4PYGFS1

Squares and roots of 137508978674964961

• 137508978674964961 squared (137508978674964961²) is 18908719216231968401417414577731521
• 137508978674964961 cubed (137508978674964961³) is 2600118667475741914151163549002100586274925540235681
• 137508978674964961 is a perfect square number. Its square root is 370822031
• The cube root of 137508978674964961 is 516151.2920383581

Scales and comparisons

• 137,508,978,674,964,961 seconds is equal to 4,372,360,178 years, 34 weeks, 4 days, 7 hours, 36 minutes, 1 second.
• To count from 1 to 137,508,978,674,964,961 would take you about thirteen billion, one hundred seventeen million, eighty thousand, five hundred thirty-five 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 137508978674964961 cubic inches would be around 43012.6 feet tall.

Recreational maths with 137508978674964961

• 137508978674964961 backwards is 169469476879805731
• The number of decimal digits it has is: 18
• The sum of 137508978674964961's digits is 100
• More coming soon!