138503728517876901

Names of 138503728517876901

• Cardinal: 138503728517876901 can be written as One hundred thirty-eight quadrillion, five hundred three trillion, seven hundred twenty-eight billion, five hundred seventeen million, eight hundred seventy-six thousand, nine hundred one.

Scientific notation

• Scientific notation: 1.38503728517876901 × 10¹⁷

Factors of 138503728517876901

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 2658337

Divisors of 138503728517876901

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 9 37 43 109 111 129 173 193 327 333 387 519 579 981 1557 1591 1737 4033 4687 4773 6401 7141 7439 8299 12099 14061 14319 18857 19203 21037 21423 22317 24897 33389 36297 42183 56571 57609 63111 64269 66951 74691 100167 169713 173419 189333 275243 300501 307063 520257 697709 778369 810851 825729 904591 921189 1235393 1435727 1560771 2093127 2335107 2432553 2477187 2657779 2713773 2763567 3639401 3706179 4307181 6279381 7005321 7297659 7973337 8141319 10918203 11118537 12921543 23920011 30001487 32754609 33469867 53121899 90004461 98337823 100409601 114284497 134657837 156494243 159365697 270013383 289697911 295013469 301228803 342853491 403973511 459795767 469482729 478097091 512951347 869093733 885040407 1028560473 1211920533 1379387301 1408448187 1538854041 2607281199 4138161903 4228526389 4616562123 5790286991 10718822707 12457010173 12685579167 17012443379 17370860973 18979199839 19771217981 22056907921 32156468121 37371030519 38056737501 50117738603 51037330137 52112582919 55911696823 56937599517 59313653943 66170723763 88740583031 96469404363 112113091557 150353215809 153111990411 167735090469 170812798551 177940961829 198512171289 266221749093 451059647427 460909376401 503205271407 731535065297 798665247279 816105593077 1382728129203 1854356328311 2068732782451 2155062759929 2194605195891 2404202963389 2448316779231 3283401572147 3815845070333 4148184387609 5563068984933 6206198347353 6465188279787 6583815587673 7212608890167 7344950337693 9672723550379 9850204716441 11447535210999 16689206954799 18618595042059 19395564839361 21637826670501 29018170651137 29550614149323 34342605632997 79737322117373 87054511953411 88955509645393 141186267602321 239211966352119 266866528936179 357890771364023 415927112666297 423558802806963 717635899056357 800599586808537 1073672314092069 1247781337998891 1270676408420889 3221016942276207 3743344013996673 15389303168652989 46167909505958967 138503728517876901
• Sum of all divisors σ(n): 214507419196012800
• Sum of proper divisors (its aliquot sum) s(n): 76003690678135899
• 138503728517876901 is a deficient number, because the sum of its proper divisors (76003690678135899) is less than itself. Its deficiency is 62500037839741002

Bases of 138503728517876901

• Binary: 111101100000100000110100001000010011000000000110010100101₂
• Hexadecimal: 0x1EC106842600CA5
• Base-36: 11VRH2HN8VJ9

Squares and roots of 138503728517876901

• 138503728517876901 squared (138503728517876901²) is 19183282813353747135370340589363801
• 138503728517876901 cubed (138503728517876901³) is 2656956194862401215404312815459823058484366823460701
• The square root of 138503728517876901 is 372160890.6345169701
• The cube root of 138503728517876901 is 517392.9279975133

Scales and comparisons

• 138,503,728,517,876,901 seconds is equal to 4,403,990,146 years, 36 weeks, 5 days, 8 hours, 28 minutes, 21 seconds.
• To count from 1 to 138,503,728,517,876,901 would take you about thirteen billion, two hundred eleven million, nine hundred seventy thousand, four 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 138503728517876901 cubic inches would be around 43116.1 feet tall.

Recreational maths with 138503728517876901

• 138503728517876901 backwards is 109678715827305831
• The number of decimal digits it has is: 18
• The sum of 138503728517876901's digits is 81
• More coming soon!