138516048523375128

Names of 138516048523375128

• Cardinal: 138516048523375128 can be written as One hundred thirty-eight quadrillion, five hundred sixteen trillion, forty-eight billion, five hundred twenty-three million, three hundred seventy-five thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38516048523375128 × 10¹⁷

Factors of 138516048523375128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 682449

Divisors of 138516048523375128

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2187 2754 2916 3672 4131 4374 5508 5832 8262 8748 11016 12393 16524 17496 24786 33048 37179 49572 74358 99144 148716 297432 682427 1364854 2047281 2729708 4094562 5459416 6141843 8189124 11601259 12283686 16378248 18425529 23202518 24567372 34803777 36851058 46405036 49134744 55276587 69607554 73702116 92810072 104411331 110553174 139215108 147404232 165829761 208822662 221106348 278430216 313233993 331659522 417645324 442212696 497489283 626467986 663319044 835290648 939701979 994978566 1252935972 1326638088 1492467849 1879403958 1989957132 2505871944 2819105937 2984935698 3758807916 3979914264 5638211874 5969871396 7517615832 8457317811 11276423748 11939742792 16914635622 22552847496 25371953433 33829271244 50743906866 67658542488 101487813732 202975627464 465706610329 931413220658 1397119830987 1862826441316 2794239661974 3725652882632 4191359492961 5588479323948 7917012375593 8382718985922 11176958647896 12574078478883 15834024751186 16765437971844 23751037126779 25148156957766 31668049502372 33530875943688 37722235436649 47502074253558 50296313915532 63336099004744 71253111380337 75444470873298 95004148507116 100592627831064 113166706309947 142506222760674 150888941746596 190008297014232 213759334141011 226333412619894 285012445521348 301777883493192 339500118929841 427518668282022 452666825239788 570024891042696 641278002423033 679000237859682 855037336564044 905333650479576 1018500356789523 1282556004846066 1358000475719364 1710074673128088 1923834007269099 2037000713579046 2565112009692132 2716000951438728 3847668014538198 4074001427158092 5130224019384264 5771502021807297 7695336029076396 8148002854316184 11543004043614594 15390672058152792 17314506065421891 23086008087229188 34629012130843782 46172016174458376 69258024261687564 138516048523375128
• Sum of all divisors σ(n): 412430378465599200
• Sum of proper divisors (its aliquot sum) s(n): 273914329942224072
• 138516048523375128 is an abundant number, because the sum of its proper divisors (273914329942224072) is greater than itself. Its abundance is 135398281418848944

Bases of 138516048523375128

• Binary: 111101100000110111001110010111011111011010011001000011000₂
• Hexadecimal: 0x1EC1B9CBBED3218
• Base-36: 11VVUA80FDI0

Squares and roots of 138516048523375128

• 138516048523375128 squared (138516048523375128²) is 19186695698530012978029812609016384
• 138516048523375128 cubed (138516048523375128³) is 2657665272380816124220595422999533040990395930097152
• The square root of 138516048523375128 is 372177442.2548673599
• The cube root of 138516048523375128 is 517408.2683660751

Scales and comparisons

• 138,516,048,523,375,128 seconds is equal to 4,404,381,884 years, 40 weeks, 1 day, 13 hours, 58 minutes, 48 seconds.
• To count from 1 to 138,516,048,523,375,128 would take you about thirteen billion, two hundred thirteen million, one hundred forty-five thousand, six hundred fifty-four 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 138516048523375128 cubic inches would be around 43117.4 feet tall.

Recreational maths with 138516048523375128

• 138516048523375128 backwards is 821573325840615831
• 138516048523375128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138516048523375128's digits is 72
• More coming soon!