13782167017091001

Names of 13782167017091001

• Cardinal: 13782167017091001 can be written as Thirteen quadrillion, seven hundred eighty-two trillion, one hundred sixty-seven billion, seventeen million, ninety-one thousand and one.

Scientific notation

• Scientific notation: 1.3782167017091001 × 10¹⁶

Factors of 13782167017091001

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 50183

Divisors of 13782167017091001

• Number of divisors d(n): 48
• Complete list of divisors:
  1 3 9 1297 2549 3891 7647 11673 14593 22941 31741 43779 95223 131337 285669 3306053 9918159 18927121 29754477 37197557 41168077 56781363 80907809 111592671 123504231 170344089 242723427 334778013 370512693 463196413 728170281 1389589239 4168767717 48245231429 104937428273 144735694287 314812284819 434207082861 600765747661 944436854457 1180687656737 1802297242983 3542062970211 5406891728949 10626188910633 1531351890787889 4594055672363667 13782167017091001
• Sum of all divisors σ(n): 19932733230867600
• Sum of proper divisors (its aliquot sum) s(n): 6150566213776599
• 13782167017091001 is a deficient number, because the sum of its proper divisors (6150566213776599) is less than itself. Its deficiency is 7631600803314402

Bases of 13782167017091001

• Binary: 110000111101101100111011010001010010011110111110111001₂
• Hexadecimal: 0x30F6CED149EFB9
• Base-36: 3RPDC4CYVG9

Squares and roots of 13782167017091001

• 13782167017091001 squared (13782167017091001²) is 189948127686991060250436315182001
• 13782167017091001 cubed (13782167017091001³) is 2617896820365838160125067016434240489378894273001
• The square root of 13782167017091001 is 117397474.4919625645
• The cube root of 13782167017091001 is 239757.6663709435

Scales and comparisons

• 13,782,167,017,091,001 seconds is equal to 438,230,280 years, 5 weeks, 2 days, 1 hour, 43 minutes, 21 seconds.
• To count from 1 to 13,782,167,017,091,001 would take you about one billion, three hundred fourteen million, six hundred ninety thousand, eight hundred forty 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 13782167017091001 cubic inches would be around 19979.8 feet tall.

Recreational maths with 13782167017091001

• 13782167017091001 backwards is 10019071076128731
• The number of decimal digits it has is: 17
• The sum of 13782167017091001's digits is 54
• More coming soon!