138657258429562521

Names of 138657258429562521

• Cardinal: 138657258429562521 can be written as One hundred thirty-eight quadrillion, six hundred fifty-seven trillion, two hundred fifty-eight billion, four hundred twenty-nine million, five hundred sixty-two thousand, five hundred twenty-one.

Scientific notation

• Scientific notation: 1.38657258429562521 × 10¹⁷

Factors of 138657258429562521

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 122631850860

Divisors of 138657258429562521

• Number of divisors d(n): 64
• Complete list of divisors:
  1 3 9 11 27 33 47 81 99 141 243 297 423 517 729 891 1269 1551 2187 2673 3807 4653 8019 11421 13959 24057 34263 41877 102789 125631 376893 1130679 122631850799 367895552397 1103686657191 1348950358789 3311059971573 4046851076367 5763696987553 9933179914719 12140553229101 17291090962659 29799539744157 36421659687303 51873272887977 63400666863083 89398619232471 109264979061909 155619818663931 190202000589249 268195857697413 327794937185727 466859455991793 570606001767747 983384811557181 1400578367975379 1711818005303241 2950154434671543 4201735103926137 5135454015909723 12605205311778411 15406362047729169 46219086143187507 138657258429562521
• Sum of all divisors σ(n): 231685903079424000
• Sum of proper divisors (its aliquot sum) s(n): 93028644649861479
• 138657258429562521 is a deficient number, because the sum of its proper divisors (93028644649861479) is less than itself. Its deficiency is 45628613779701042

Bases of 138657258429562521

• Binary: 111101100100111000000101010111010001110010011111010011001₂
• Hexadecimal: 0x1EC9C0ABA393E99
• Base-36: 11X9W95ON0K9

Squares and roots of 138657258429562521

• 138657258429562521 squared (138657258429562521²) is 19225835315202486787378795447875441
• 138657258429562521 cubed (138657258429562521³) is 2665801615824240819048382634000916929133476529946761
• The square root of 138657258429562521 is 372367101.7014829157
• The cube root of 138657258429562521 is 517584.0322572931

Scales and comparisons

• 138,657,258,429,562,521 seconds is equal to 4,408,871,922 years, 51 weeks, 6 days, 18 hours, 55 minutes, 21 seconds.
• To count from 1 to 138,657,258,429,562,521 would take you about thirteen billion, two hundred twenty-six million, six hundred fifteen thousand, seven hundred sixty-eight 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 138657258429562521 cubic inches would be around 43132 feet tall.

Recreational maths with 138657258429562521

• 138657258429562521 backwards is 125265924852756831
• 138657258429562521 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138657258429562521's digits is 81
• More coming soon!