13357985906215584

Names of 13357985906215584

• Cardinal: 13357985906215584 can be written as Thirteen quadrillion, three hundred fifty-seven trillion, nine hundred eighty-five billion, nine hundred six million, two hundred fifteen thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.3357985906215584 × 10¹⁶

Factors of 13357985906215584

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 268103442419

Divisors of 13357985906215584

• Number of divisors d(n): 72
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 49824 268103442241 536206884482 804310326723 1072413768964 1608620653446 2144827537928 2412930980169 3217241306892 4289655075856 4825861960338 6434482613784 8579310151712 9651723920676 12868965227568 19303447841352 25737930455136 38606895682704 46381895507693 77213791365408 92763791015386 139145686523079 185527582030772 278291373046158 371055164061544 417437059569237 556582746092316 742110328123088 834874119138474 1113165492184632 1484220656246176 1669748238276948 2226330984369264 3339496476553896 4452661968738528 6678992953107792 13357985906215584
• Sum of all divisors σ(n): 38206349140138452
• Sum of proper divisors (its aliquot sum) s(n): 24848363233922868
• 13357985906215584 is an abundant number, because the sum of its proper divisors (24848363233922868) is greater than itself. Its abundance is 11490377327707284

Bases of 13357985906215584

• Binary: 101111011101010000010001110100110110101100101010100000₂
• Hexadecimal: 0x2F750474DACAA0
• Base-36: 3NJ0E0BL2G0

Squares and roots of 13357985906215584

• 13357985906215584 squared (13357985906215584²) is 178435787470654176903164684461056
• 13357985906215584 cubed (13357985906215584³) is 2383542734197477784478578091901215109211588296704
• The square root of 13357985906215584 is 115576753.3123144275
• The cube root of 13357985906215584 is 237272.2746066327

Scales and comparisons

• 13,357,985,906,215,584 seconds is equal to 424,742,632 years, 44 weeks, 2 days, 23 hours, 26 minutes, 24 seconds.
• To count from 1 to 13,357,985,906,215,584 would take you about one billion, two hundred seventy-four million, two hundred twenty-seven thousand, eight hundred ninety-eight 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 13357985906215584 cubic inches would be around 19772.7 feet tall.

Recreational maths with 13357985906215584

• 13357985906215584 backwards is 48551260958975331
• The number of decimal digits it has is: 17
• The sum of 13357985906215584's digits is 81
• More coming soon!