138591724874207241

Names of 138591724874207241

• Cardinal: 138591724874207241 can be written as One hundred thirty-eight quadrillion, five hundred ninety-one trillion, seven hundred twenty-four billion, eight hundred seventy-four million, two hundred seven thousand, two hundred forty-one.

Scientific notation

• Scientific notation: 1.38591724874207241 × 10¹⁷

Factors of 138591724874207241

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 139

Divisors of 138591724874207241

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 7 13 21 37 39 49 79 91 111 147 169 237 259 273 343 481 507 553 637 777 1027 1029 1183 1443 1659 1813 1911 2401 2923 3081 3367 3549 3871 4459 5439 6241 6253 7189 7203 8281 8769 10101 11613 12691 13351 13377 18723 18759 20461 21567 23569 24843 27097 31213 37999 38073 40053 43687 43771 50323 57967 61383 70707 81133 81291 88837 93457 93639 113997 131061 131313 143227 150969 164983 173901 189679 230917 243399 265993 266511 280371 305809 306397 352261 405769 429681 493039 493987 494949 567931 569037 654199 692751 797979 917427 919191 1002589 1054729 1056783 1154881 1217307 1479117 1481961 1616419 1703793 1861951 1962597 2140663 2144779 2465827 3001921 3007767 3164187 3451273 3457909 3464643 3975517 4579393 4849257 5585853 6409507 6421989 6434337 7018123 7383103 7397481 9005763 10353819 10373727 11314933 11926551 13033657 13738179 14984641 15013453 18242443 19228521 21013447 21054369 22149309 24158911 24205363 27828619 32055751 33944799 38950081 39024973 39100971 44866549 44953923 45040359 51681721 54727329 63040341 72476733 72616089 79204531 83323591 83485857 91235599 96167253 116850243 117074919 127697101 134599647 147094129 155045163 169112377 169437541 194800333 237151759 237613593 249970773 272650567 273174811 273706797 314065843 361772047 383091303 441282387 506351053 507337131 508312623 554431717 583265137 584400999 711455277 817951701 819524433 893879707 942197529 1029658903 1085316141 1183786639 1186062787 1441152997 1519053159 1660062313 1663295151 1749795411 1908553969 1912223677 2198460901 2532404329 2681639121 3077056399 3082972867 3088976709 3544457371 3551359917 3558188361 4082855959 4323458991 4980186939 5725661907 5736671031 6257157949 6582563689 6595382703 7207612321 7597212987 9231169197 9248918601 10088070979 10633372113 11620436191 12248567877 13359877783 13385565739 15389226307 18734988961 18771473847 19747691067 21539394793 21580810069 21622836963 24811201597 28579991713 30264212937 34861308573 40001733187 40079633349 40156697217 43800105643 46077945823 46167678921 56204966883 64618184379 64742430207 70616496853 74433604791 81343053337 85739975139 93519144481 93698960173 113851086763 120005199561 131144922727 131400316929 138233837469 150775763551 151065670483 173678411179 200059941991 211849490559 243554856493 244029160011 280012132309 280557433443 281096880519 322545620761 341553260289 393434768181 452327290653 453197011449 494315477971 520022531431 521035233537 569401373359 600179825973 730664569479 796957607341 840036396927 918014459089 967636862283 1055430344857 1057459693381 1215748878253 1480064127919 1482946433913 1560067594293 1704883995451 1708204120077 1960084926163 2257819345327 2390872822023 2754043377267 3166291034571 3172379080143 3460208345797 3640157720017 3647246634759 4440192383757 5114651986353 5578703251387 5880254778489 6426101213623 6773458035981 7388012413999 7402217853667 10360448895433 10380625037391 10920473160051 11934187968157 13720594483141 15804735417289 16736109754161 19240833662947 19278303640869 22164037241997 22206653561001 25481104040119 31081346686299 35802563904471 39050922759709 41161783449423 44982708495361 47414206251867 57722500988841 72523142268031 76443312120357 83539315777099 96044161381987 117152768279127 134685835640629 134948125486083 178367728280833 217569426804093 250617947331297 273356459317963 288132484145961 404057506921887 507661995876217 535103184842499 584775210439693 820069377953889 942800849484403 1248574097965831 1522985987628651 1754325631319079 2828402548453209 3553633971133519 3745722293897493 6599605946390821 10660901913400557 19798817839172463 46197241624735747 138591724874207241
• Sum of all divisors σ(n): 242815122773677440
• Sum of proper divisors (its aliquot sum) s(n): 104223397899470199
• 138591724874207241 is a deficient number, because the sum of its proper divisors (104223397899470199) is less than itself. Its deficiency is 34368326974737042

Bases of 138591724874207241

• Binary: 111101100011000000111000010000001111011111001000000001001₂
• Hexadecimal: 0x1EC607081EF9009
• Base-36: 11WMNZGHT1XL

Squares and roots of 138591724874207241

• 138591724874207241 squared (138591724874207241²) is 19207666203607954091185268216832081
• 138591724874207241 cubed (138591724874207241³) is 2662023589966042255515273317282899671979407291298521
• The square root of 138591724874207241 is 372279095.4031762995
• The cube root of 138591724874207241 is 517502.4775245509

Scales and comparisons

• 138,591,724,874,207,241 seconds is equal to 4,406,788,158 years, 33 weeks, 4 days, 18 hours, 27 minutes, 21 seconds.
• To count from 1 to 138,591,724,874,207,241 would take you about thirteen billion, two hundred twenty million, three hundred sixty-four thousand, four hundred seventy-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 138591724874207241 cubic inches would be around 43125.2 feet tall.

Recreational maths with 138591724874207241

• 138591724874207241 backwards is 142702478427195831
• The number of decimal digits it has is: 18
• The sum of 138591724874207241's digits is 75
• More coming soon!