13681673504177664

Names of 13681673504177664

• Cardinal: 13681673504177664 can be written as Thirteen quadrillion, six hundred eighty-one trillion, six hundred seventy-three billion, five hundred four million, one hundred seventy-seven thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.3681673504177664 × 10¹⁶

Factors of 13681673504177664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 394

Divisors of 13681673504177664

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 389 512 768 778 1167 1536 1556 2334 3112 4668 6224 9336 12448 18672 24896 37344 49792 74688 99584 149376 151321 199168 298752 302642 453963 597504 605284 907926 1210568 1815852 2421136 3631704 4842272 7263408 9684544 14526816 19369088 29053632 38738176 58107264 58863869 77476352 116214528 117727738 176591607 232429056 235455476 353183214 470910952 706366428 941821904 1412732856 1883643808 2825465712 3767287616 5650931424 7534575232 11301862848 15069150464 22603725696 22898045041 30138300928 45207451392 45796090082 68694135123 90414902784 91592180164 137388270246 183184360328 274776540492 366368720656 549553080984 732737441312 1099106161968 1465474882624 2198212323936 2930949765248 4396424647872 5861899530496 8792849295744 8907339520949 11723799060992 17585698591488 17814679041898 26722018562847 35171397182976 35629358083796 53444037125694 71258716167592 106888074251388 142517432335184 213776148502776 285034864670368 427552297005552 570069729340736 855104594011104 1140139458681472 1710209188022208 2280278917362944 3420418376044416 4560557834725888 6840836752088832 13681673504177664
• Sum of all divisors σ(n): 36542773611784440
• Sum of proper divisors (its aliquot sum) s(n): 22861100107606776
• 13681673504177664 is an abundant number, because the sum of its proper divisors (22861100107606776) is greater than itself. Its abundance is 9179426603429112

Bases of 13681673504177664

• Binary: 110000100110110110100011011001001001100011111000000000₂
• Hexadecimal: 0x309B68D9263E00
• Base-36: 3QPQY1E1N9C

Squares and roots of 13681673504177664

• 13681673504177664 squared (13681673504177664²) is 187188189874917119698860876496896
• 13681673504177664 cubed (13681673504177664³) is 2561047697706631233345838588103976760205528530944
• The square root of 13681673504177664 is 116968685.9983374525
• The cube root of 13681673504177664 is 239173.5083627167

Scales and comparisons

• 13,681,673,504,177,664 seconds is equal to 435,034,897 years, 12 weeks, 2 days, 15 hours, 34 minutes, 24 seconds.
• To count from 1 to 13,681,673,504,177,664 would take you about one billion, three hundred five million, one hundred four thousand, six hundred ninety-one 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 13681673504177664 cubic inches would be around 19931.1 feet tall.

Recreational maths with 13681673504177664

• 13681673504177664 backwards is 46677140537618631
• The number of decimal digits it has is: 17
• The sum of 13681673504177664's digits is 75
• More coming soon!