138788518514688001

Names of 138788518514688001

• Cardinal: 138788518514688001 can be written as One hundred thirty-eight quadrillion, seven hundred eighty-eight trillion, five hundred eighteen billion, five hundred fourteen million, six hundred eighty-eight thousand and one.

Scientific notation

• Scientific notation: 1.38788518514688001 × 10¹⁷

Factors of 138788518514688001

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 14666737

Divisors of 138788518514688001

• Number of divisors d(n): 32
• Complete list of divisors:
  1 23 89 1093 2047 4231 25139 97277 97313 376559 2237371 4624483 8660857 14661301 106363109 337209923 411578987 1304855789 9466316701 16024801993 30011683147 62031964531 368570445839 1426207377377 1426735184213 5520844843259 32802769679671 67800937232383 126979431394957 1559421556344809 6034283413682087 138788518514688001
• Sum of all divisors σ(n): 146618668706434560
• Sum of proper divisors (its aliquot sum) s(n): 7830150191746559
• 138788518514688001 is a deficient number, because the sum of its proper divisors (7830150191746559) is less than itself. Its deficiency is 130958368322941442

Bases of 138788518514688001

• Binary: 111101101000100110110110000011000111110001000000000000001₂
• Hexadecimal: 0x1ED136C18F88001
• Base-36: 11YKF97IADC1

Squares and roots of 138788518514688001

• 138788518514688001 squared (138788518514688001²) is 19262252871501894047248774373376001
• 138788518514688001 cubed (138788518514688001³) is 2673379539291042734200499087489505067489439576064001
• The square root of 138788518514688001 is 372543310.9246332999
• The cube root of 138788518514688001 is 517747.3046270295

Scales and comparisons

• 138,788,518,514,688,001 seconds is equal to 4,413,045,587 years, 36 weeks, 1 second.
• To count from 1 to 138,788,518,514,688,001 would take you about thirteen billion, two hundred thirty-nine million, one hundred thirty-six thousand, seven hundred sixty-three 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 138788518514688001 cubic inches would be around 43145.6 feet tall.

Recreational maths with 138788518514688001

• 138788518514688001 backwards is 100886415815887831
• The number of decimal digits it has is: 18
• The sum of 138788518514688001's digits is 82
• More coming soon!