12822125874688

Names of 12822125874688

• Cardinal: 12822125874688 can be written as Twelve trillion, eight hundred twenty-two billion, one hundred twenty-five million, eight hundred seventy-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.2822125874688 × 10¹³

Factors of 12822125874688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 21460

Divisors of 12822125874688

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1378 1664 1696 1861 2756 3328 3392 3722 5512 6656 6784 7444 11024 13568 14888 19531 22048 24193 27136 29776 39062 44096 48386 59552 78124 88192 96772 98633 119104 156248 176384 193544 197266 238208 253903 312496 352768 387088 394532 476416 507806 624992 774176 789064 952832 1015612 1035143 1249984 1282229 1548352 1578128 2031224 2070286 2499968 2564458 3096704 3156256 4062448 4140572 4999936 5128916 6193408 6312512 8124896 8281144 9999872 10257832 12386816 12625024 13456859 16249792 16562288 20515664 25250048 26913718 32499584 33124576 36347191 41031328 50500096 53827436 64999168 66249152 72694382 82062656 107654872 129998336 132498304 145388764 164125312 215309744 264996608 290777528 328250624 430619488 472513483 529993216 581555056 656501248 861238976 945026966 1163110112 1722477952 1890053932 1926401123 2326220224 3444955904 3780107864 3852802246 4652440448 6889911808 7560215728 7705604492 9304880896 15120431456 15411208984 18609761792 25043214599 30240862912 30822417968 50086429198 60481725824 61644835936 100172858396 120963451648 123289671872 200345716792 241926903296 246579343744 400691433584 493158687488 801382867168 986317374976 1602765734336 3205531468672 6411062937344 12822125874688
• Sum of all divisors σ(n): 28127026442592
• Sum of proper divisors (its aliquot sum) s(n): 15304900567904
• 12822125874688 is an abundant number, because the sum of its proper divisors (15304900567904) is greater than itself. Its abundance is 2482774693216

Bases of 12822125874688

• Binary: 10111010100101100010010000100000111000000000₂
• Hexadecimal: 0xBA962420E00
• Base-36: 4JMEIOS1S

Squares and roots of 12822125874688

• 12822125874688 squared (12822125874688²) is 164406911946343509079097344
• 12822125874688 cubed (12822125874688³) is 2108046119644762762874132301313497628672
• The square root of 12822125874688 is 3580799.6138695055
• The cube root of 12822125874688 is 23405.6125740509

Scales and comparisons

• 12,822,125,874,688 seconds is equal to 407,703 years, 48 weeks, 6 days, 15 hours, 51 minutes, 28 seconds.
• To count from 1 to 12,822,125,874,688 would take you about one million, nineteen thousand, two hundred fifty-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 12822125874688 cubic inches would be around 1950.5 feet tall.

Recreational maths with 12822125874688

• 12822125874688 backwards is 88647852122821
• 12822125874688 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12822125874688's digits is 64
• More coming soon!