137538312828518101238973441

Names of 137538312828518101238973441

• Cardinal: 137538312828518101238973441 can be written as One hundred thirty-seven septillion, five hundred thirty-eight sextillion, three hundred twelve quintillion, eight hundred twenty-eight quadrillion, five hundred eighteen trillion, one hundred one billion, two hundred thirty-eight million, nine hundred seventy-three thousand, four hundred forty-one.

Scientific notation

• Scientific notation: 1.37538312828518101238973441 × 10²⁶

Factors of 137538312828518101238973441

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 49807

Divisors of 137538312828518101238973441

• Number of divisors d(n): 162
• Complete list of divisors:
  1 3 9 61 109 183 327 549 981 3721 6649 11163 11881 19531 19947 30103 33489 35643 58593 59841 90309 106929 175779 270927 405589 724741 1191391 1216767 1836283 2128879 2174223 3281227 3574173 3650301 5508849 6386637 6522669 9843681 10722519 16526547 19159911 29531043 44209201 72674851 112013263 129861619 132627603 200154847 218024553 232047811 336039789 357653743 389584857 397882809 587941693 600464541 654073659 696143433 906190609 1008119367 1072961229 1168754571 1763825079 1801393623 2088430299 2718571827 3218883687 5291475237 7921558759 8155715481 12209445667 14154916471 21816878323 23764676277 35864443273 36628337001 42464749413 55277627149 64085644537 65450634969 71294028831 98774776381 107593329819 109885011003 127394248239 165832881447 192256933611 196351904907 296324329143 322779989457 497498644341 576770800833 863449904731 888972987429 1330829577703 2187731039653 2590349714193 3371935256089 3909224316757 3992488733109 6025261359241 6563193118959 6985335254533 7771049142579 10115805768267 10766450625529 11727672950271 11977466199327 17698808784379 18075784077723 19689579356877 20956005763599 30347417304801 32299351876587 35183018850813 53096426353137 54227352233169 62868017290797 96898055629761 159289279059411 238462683322177 367540942913701 426105450526513 656753488157269 715388049966531 1079627335847119 1102622828741103 1278316351579539 1929170157497311 1970260464471807 2146164149899593 3238882007541357 3307868486223309 3834949054738617 5787510472491933 5910781393415421 9716646022624071 17362531417475799 25992432482117293 40061962777593409 65857267486674259 77977297446351879 117679379607335971 120185888332780227 197571802460022777 210279547167206899 233931892339055637 353038138822007913 360557664998340681 592715407380068331 630838641501620697 1059114416466023739 1892515924504862091 7178442156047494231 12827052377199620839 21535326468142482693 38481157131598862517 64605979404427448079 115443471394796587551 782450195009176871179 2347350585027530613537 7042051755082591840611
• Sum of all divisors σ(n): 137541708740809187877809754
• Sum of proper divisors (its aliquot sum) s(n): 3395912291086638836313
• 137538312828518101238973441 is a deficient number, because the sum of its proper divisors (3395912291086638836313) is less than itself. Its deficiency is 137534916916227014600137128

Bases of 137538312828518101238973441

• Binary: 111000111000100110111101110000011100001000001001100011111010001011101001000010000000001₂
• Hexadecimal: 0x71C4DEE0E104C7D1748401
• Base-36: HA4XTXAVHFNS80I69

Squares and roots of 137538312828518101238973441

• 137538312828518101238973441 squared (137538312828518101238973441²) is 18916787495715306898149275456577028110619387503380481
• 137538312828518101238973441 cubed (137538312828518101238973441³) is 2601783036296291400824608778724331505942016009637897007720442871581813676805121
• 137538312828518101238973441 is a perfect square number. Its square root is 11727672950271
• The cube root of 137538312828518101238973441 is 516187992.1503253179

Scales and comparisons

• 137,538,312,828,518,101,238,973,441 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,538,312,828,518,101,238,973,441 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137538312828518101238973441 cubic inches would be around 43015666 feet tall.

Recreational maths with 137538312828518101238973441

• 137538312828518101238973441 backwards is 144379832101815828213835731
• The number of decimal digits it has is: 27
• The sum of 137538312828518101238973441's digits is 108
• More coming soon!