13824131072

Names of 13824131072

• Cardinal: 13824131072 can be written as Thirteen billion, eight hundred twenty-four million, one hundred thirty-one thousand and seventy-two.

Scientific notation

• Scientific notation: 1.3824131072 × 10¹⁰

Factors of 13824131072

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 472

Divisors of 13824131072

• Number of divisors d(n): 96
• Complete list of divisors:
  1 2 4 8 16 31 32 62 64 124 128 248 256 439 496 512 878 961 992 1024 1756 1922 1984 2048 3512 3844 3968 4096 7024 7688 7936 8192 13609 14048 15376 15872 16384 27218 28096 30752 31744 32768 54436 56192 61504 63488 108872 112384 123008 126976 217744 224768 246016 253952 421879 435488 449536 492032 507904 843758 870976 899072 984064 1015808 1687516 1741952 1798144 1968128 3375032 3483904 3596288 3936256 6750064 6967808 7192576 7872512 13500128 13935616 14385152 15745024 27000256 27871232 31490048 54000512 55742464 108001024 111484928 216002048 222969856 432004096 445939712 864008192 1728016384 3456032768 6912065536 13824131072
• Sum of all divisors σ(n): 28633552200
• Sum of proper divisors (its aliquot sum) s(n): 14809421128
• 13824131072 is an abundant number, because the sum of its proper divisors (14809421128) is greater than itself. Its abundance is 985290056

Bases of 13824131072

• Binary: 1100110111111110111000000000000000₂
• Hexadecimal: 0x337FB8000
• Base-36: 6CMJ3SW

Squares and roots of 13824131072

• 13824131072 squared (13824131072²) is 191106599895835869184
• 13824131072 cubed (13824131072³) is 2641882685684296602598661685248
• The square root of 13824131072 is 117576.0650472705
• The cube root of 13824131072 is 2400.0075851613

Scales and comparisons

• 13,824,131,072 seconds is equal to 439 years, 29 weeks, 2 days, 12 hours, 24 minutes, 32 seconds.
• To count from 1 to 13,824,131,072 would take you about eight hundred seventy-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 13824131072 cubic inches would be around 200 feet tall.

Recreational maths with 13824131072

• 13824131072 backwards is 27013142831
• 13824131072 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13824131072's digits is 32
• More coming soon!