398163288768

Names of 398163288768

• Cardinal: 398163288768 can be written as Three hundred ninety-eight billion, one hundred sixty-three million, two hundred eighty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.98163288768 × 10¹¹

Factors of 398163288768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 296252459

Divisors of 398163288768

• Number of divisors d(n): 56
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 296252447 592504894 888757341 1185009788 1777514682 2073767129 2370019576 3555029364 4147534258 4740039152 6221301387 7110058728 8295068516 9480078304 12442602774 14220117456 16590137032 18960156608 24885205548 28440234912 33180274064 49770411096 56880469824 66360548128 99540822192 132721096256 199081644384 398163288768
• Sum of all divisors σ(n): 1203969948672
• Sum of proper divisors (its aliquot sum) s(n): 805806659904
• 398163288768 is an abundant number, because the sum of its proper divisors (805806659904) is greater than itself. Its abundance is 407643371136

Bases of 398163288768

• Binary: 101110010110100011000011010001011000000₂
• Hexadecimal: 0x5CB461A2C0
• Base-36: 52WW53UO

Squares and roots of 398163288768

• 398163288768 squared (398163288768²) is 158534004522549754957824
• 398163288768 cubed (398163288768³) is 63122420622259396050919716972920832
• The square root of 398163288768 is 631001.8136011971
• The cube root of 398163288768 is 7356.7681884603

Scales and comparisons

• 398,163,288,768 seconds is equal to 12,660 years, 18 weeks, 5 days, 9 hours, 32 minutes, 48 seconds.
• To count from 1 to 398,163,288,768 would take you about twenty-five thousand, three hundred twenty 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 398163288768 cubic inches would be around 613.1 feet tall.

Recreational maths with 398163288768

• 398163288768 backwards is 867882361893
• The number of decimal digits it has is: 12
• The sum of 398163288768's digits is 69
• More coming soon!