138993117768

Names of 138993117768

• Cardinal: 138993117768 can be written as One hundred thirty-eight billion, nine hundred ninety-three million, one hundred seventeen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38993117768 × 10¹¹

Factors of 138993117768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 887

Divisors of 138993117768

• Number of divisors d(n): 108
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 829 954 1272 1658 1908 2487 2809 3316 3816 4974 5618 6632 7461 8427 9948 11236 14922 16854 19896 22472 25281 29844 33708 43937 50562 59688 67416 87874 101124 131811 175748 202248 263622 351496 395433 527244 687241 790866 1054488 1374482 1581732 2061723 2328661 2748964 3163464 4123446 4657322 5497928 6185169 6985983 8246892 9314644 12370338 13971966 16493784 18629288 20957949 24740676 27943932 36423773 41915898 49481352 55887864 72847546 83831796 109271319 145695092 167663592 218542638 291390184 327813957 437085276 655627914 874170552 1311255828 1930459969 2622511656 3860919938 5791379907 7721839876 11582759814 15443679752 17374139721 23165519628 34748279442 46331039256 69496558884 138993117768
• Sum of all divisors σ(n): 384139718235
• Sum of proper divisors (its aliquot sum) s(n): 245146600467
• 138993117768 is an abundant number, because the sum of its proper divisors (245146600467) is greater than itself. Its abundance is 106153482699

Bases of 138993117768

• Binary: 10000001011100101000101010101001001000₂
• Hexadecimal: 0x205CA2AA48
• Base-36: 1RUOWW20

Squares and roots of 138993117768

• 138993117768 squared (138993117768²) is 19319086786869117301824
• 138993117768 cubed (138993117768³) is 2685220104937511937134629633208832
• The square root of 138993117768 is 372817.8077399201
• The cube root of 138993117768 is 5180.0159727797

Scales and comparisons

• 138,993,117,768 seconds is equal to 4,419 years, 28 weeks, 4 days, 15 hours, 22 minutes, 48 seconds.
• To count from 1 to 138,993,117,768 would take you about eight thousand, eight hundred thirty-nine 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 138993117768 cubic inches would be around 431.7 feet tall.

Recreational maths with 138993117768

• 138993117768 backwards is 867711399831
• The number of decimal digits it has is: 12
• The sum of 138993117768's digits is 63
• More coming soon!