513152864216000

Names of 513152864216000

• Cardinal: 513152864216000 can be written as Five hundred thirteen trillion, one hundred fifty-two billion, eight hundred sixty-four million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 5.13152864216 × 10¹⁴

Factors of 513152864216000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4010

Divisors of 513152864216000

• Number of divisors d(n): 84
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 4003 8000 8006 16012 20015 32024 40030 64048 80060 100075 128096 160120 200150 256192 320240 400300 500375 640480 800600 1000750 1280960 1601200 2001500 3202400 4003000 6404800 8006000 16012000 16024009 32024000 32048018 64096036 80120045 128192072 160240090 256384144 320480180 400600225 512768288 640960360 801200450 1025536576 1281920720 1602400900 2003001125 2563841440 3204801800 4006002250 5127682880 6409603600 8012004500 12819207200 16024009000 25638414400 32048018000 64096036000 128192072000
• Sum of all divisors σ(n): 513342219137556
• Sum of proper divisors (its aliquot sum) s(n): 189354921556
• 513152864216000 is a deficient number, because the sum of its proper divisors (189354921556) is less than itself. Its deficiency is 512963509294444

Bases of 513152864216000

• Binary: 1110100101011010110110110001011111110001111000000₂
• Hexadecimal: 0x1D2B5B62FE3C0
• Base-36: 51WB6651A8

Squares and roots of 513152864216000

• 513152864216000 squared (513152864216000²) is 263325862053084533294656000000
• 513152864216000 cubed (513152864216000³) is 135126420334687634497722341486429696000000000
• The square root of 513152864216000 is 22652877.6144665559
• 513152864216000 is a perfect cube number. Its cube root is 80060

Scales and comparisons

• 513,152,864,216,000 seconds is equal to 16,316,673 years, 41 weeks, 2 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 513,152,864,216,000 would take you about forty million, seven hundred ninety-one thousand, six hundred eighty-four 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 513152864216000 cubic inches would be around 6671.7 feet tall.

Recreational maths with 513152864216000

• 513152864216000 backwards is 000612468251315
• The number of decimal digits it has is: 15
• The sum of 513152864216000's digits is 44
• More coming soon!