137238667266403125

Names of 137238667266403125

• Cardinal: 137238667266403125 can be written as One hundred thirty-seven quadrillion, two hundred thirty-eight trillion, six hundred sixty-seven billion, two hundred sixty-six million, four hundred three thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.37238667266403125 × 10¹⁷

Factors of 137238667266403125

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7696

Divisors of 137238667266403125

• Number of divisors d(n): 270
• Complete list of divisors:
  1 3 5 9 15 25 27 45 75 81 97 125 135 225 291 375 405 485 625 675 873 1125 1455 1875 2025 2425 2619 3125 3375 4365 5625 7275 7591 7857 9375 9409 10125 12125 13095 16875 21825 22773 28125 28227 36375 37955 39285 47045 50625 60625 65475 68319 84375 84681 109125 113865 141135 181875 189775 196425 204957 235225 253125 254043 303125 327375 341595 423405 545625 569325 614871 705675 736327 762129 909375 948875 982125 1024785 1176125 1270215 1636875 1707975 2117025 2208981 2728125 2846625 3074355 3528375 3681635 3810645 4744375 4910625 5123925 5880625 6351075 6626943 8184375 8539875 10585125 11044905 14233125 15371775 17641875 18408175 19053225 19880829 23721875 24553125 25619625 29403125 31755375 33134715 42699375 52925625 55224525 57623281 59642487 71165625 71423719 76858875 88209375 92040875 95266125 99404145 128098125 158776875 165673575 172869843 213496875 214271157 264628125 276122625 288116405 298212435 357118595 384294375 460204375 476330625 497020725 518609529 640490625 642813471 793884375 828367875 864349215 1071355785 1380613125 1440582025 1491062175 1555828587 1785592975 1921471875 1928440413 2301021875 2381653125 2485103625 2593047645 3214067355 4141839375 4321746075 4667485761 5356778925 5589458257 5785321239 6903065625 7202910125 7455310875 7779142935 8927964875 9642202065 12425518125 12965238225 16070336775 16768374771 20709196875 21608730375 23337428805 26783894625 27947291285 28926606195 36014550625 37276554375 38895714675 44639824375 48211010325 50305124313 62127590625 64826191125 80351683875 83841873855 108043651875 116687144025 133919473125 139736456425 144633030975 150915372939 180072753125 186382771875 194478573375 223199121875 241055051625 251525621565 324130955625 401758419375 419209369275 452746118817 540218259375 542177450929 583435720125 669597365625 698682282125 723165154875 754576864695 972392866875 1205275258125 1257628107825 1620654778125 1626532352787 2008792096875 2096046846375 2263730594085 2710887254645 2917178600625 3493411410625 3615825774375 3772884323475 4861964334375 4879597058361 6026376290625 6288140539125 8132661763935 10480234231875 11318652970425 13554436273225 14585893003125 14638791175083 17467057053125 18079128871875 18864421617375 24397985291805 31440702695625 40663308819675 43916373525249 52401171159375 56593264852125 67772181366125 73193955875415 94322108086875 121989926459025 157203513478125 203316544098375 219581867626245 282966324260625 338860906830625 365969779377075 471610540434375 609949632295125 1016582720491875 1097909338131225 1414831621303125 1694304534153125 1829848896885375 3049748161475625 5082913602459375 5489546690656125 9149244484426875 15248740807378125 27447733453280625 45746222422134375 137238667266403125
• Sum of all divisors σ(n): 258950230276608486
• Sum of proper divisors (its aliquot sum) s(n): 121711563010205361
• 137238667266403125 is a deficient number, because the sum of its proper divisors (121711563010205361) is less than itself. Its deficiency is 15527104256197764

Bases of 137238667266403125

• Binary: 111100111100100011101011100111011110111001010101100110101₂
• Hexadecimal: 0x1E791D73BDCAB35
• Base-36: 11JB1PDH16B9

Squares and roots of 137238667266403125

• 137238667266403125 squared (137238667266403125²) is 18834451793058508590239375009765625
• 137238667266403125 cubed (137238667266403125³) is 2584815062772666387265141033532460358070343017578125
• The square root of 137238667266403125 is 370457375.7754097207
• The cube root of 137238667266403125 is 515812.8581249815

Scales and comparisons

• 137,238,667,266,403,125 seconds is equal to 4,363,765,112 years, 13 hours, 18 minutes, 45 seconds.
• To count from 1 to 137,238,667,266,403,125 would take you about thirteen billion, ninety-one million, two hundred ninety-five thousand, three hundred thirty-six 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 137238667266403125 cubic inches would be around 42984.4 feet tall.

Recreational maths with 137238667266403125

• 137238667266403125 backwards is 521304662766832731
• The number of decimal digits it has is: 18
• The sum of 137238667266403125's digits is 72
• More coming soon!