513337517604864000001

Names of 513337517604864000001

• Cardinal: 513337517604864000001 can be written as Five hundred thirteen quintillion, three hundred thirty-seven quadrillion, five hundred seventeen trillion, six hundred four billion, eight hundred sixty-four million and one.

Scientific notation

• Scientific notation: 5.13337517604864000001 × 10²⁰

Factors of 513337517604864000001

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 73705807871

Divisors of 513337517604864000001

• Number of divisors d(n): 8
• Complete list of divisors:
  1 1697 4104343 6965070071 73701701831 125071788007207 302497063998152033 513337517604864000001
• Sum of all divisors σ(n): 513640139821321037184
• Sum of proper divisors (its aliquot sum) s(n): 302622216457037183
• 513337517604864000001 is a deficient number, because the sum of its proper divisors (302622216457037183) is less than itself. Its deficiency is 513034895388406962818

Bases of 513337517604864000001

• Binary: 110111101001111111101001110000111101110011110110000000000000000000001₂
• Hexadecimal: 0x1BD3FD387B9EC00001
• Base-36: 30C3IQYO000001

Squares and roots of 513337517604864000001

• 513337517604864000001 squared (513337517604864000001²) is 263515406980724057132263133531209728000001
• 513337517604864000001 cubed (513337517604864000001³) is 135272344870120337478694289057780575835119793388040814592000001
• The square root of 513337517604864000001 is 22656952963.8224742465
• The cube root of 513337517604864000001 is 8006960.1802555401

Scales and comparisons

• 513,337,517,604,864,000,001 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 513,337,517,604,864,000,001 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 513337517604864000001 cubic inches would be around 667246.7 feet tall.

Recreational maths with 513337517604864000001

• 513337517604864000001 backwards is 100000468406715733315
• The number of decimal digits it has is: 21
• The sum of 513337517604864000001's digits is 64
• More coming soon!