13706507143968800

Names of 13706507143968800

• Cardinal: 13706507143968800 can be written as Thirteen quadrillion, seven hundred six trillion, five hundred seven billion, one hundred forty-three million, nine hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.37065071439688 × 10¹⁶

Factors of 13706507143968800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 591331

Divisors of 13706507143968800

• Number of divisors d(n): 162
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 591317 1182634 2365268 2956585 4139219 4730536 5913170 8278438 9461072 11826340 14782925 16556876 18922144 20696095 23652680 28974533 29565850 33113752 41392190 47305360 57949066 59131700 66227504 82784380 94610720 103480475 115898132 118263400 132455008 144872665 165568760 206960950 231796264 236526800 289745330 331137520 413921900 463592528 473053600 579490660 662275040 724363325 827843800 927185056 1158981320 1448726650 1655687600 2317962640 2897453300 3311375200 4635925280 5794906600 11589813200 23179626400 349655794489 699311588978 1398623177956 1748278972445 2447590561423 2797246355912 3496557944890 4895181122846 5594492711824 6993115889780 8741394862225 9790362245692 11188985423648 12237952807115 13986231779560 17133133929961 17482789724450 19580724491384 24475905614230 27972463559120 34266267859922 34965579448900 39161448982768 48951811228460 55944927118240 61189764035575 68532535719844 69931158897800 78322897965536 85665669649805 97903622456920 122379528071150 137065071439688 139862317795600 171331339299610 195807244913840 244759056142300 274130142879376 279724635591200 342662678599220 391614489827680 428328348249025 489518112284600 548260285758752 685325357198440 856656696498050 979036224569200 1370650714396880 1713313392996100 1958072449138400 2741301428793760 3426626785992200 6853253571984400 13706507143968800
• Sum of all divisors σ(n): 38924098524421047
• Sum of proper divisors (its aliquot sum) s(n): 25217591380452247
• 13706507143968800 is an abundant number, because the sum of its proper divisors (25217591380452247) is greater than itself. Its abundance is 11511084236483447

Bases of 13706507143968800

• Binary: 110000101100011111111011100001011011010111100000100000₂
• Hexadecimal: 0x30B1FEE16D7820
• Base-36: 3QYJUGDZPCW

Squares and roots of 13706507143968800

• 13706507143968800 squared (13706507143968800²) is 187868338087667750690215373440000
• 13706507143968800 cubed (13706507143968800³) is 2575018718124163830985512713132453135708672000000
• The square root of 13706507143968800 is 117074792.9486480023
• The cube root of 13706507143968800 is 239318.1290419031

Scales and comparisons

• 13,706,507,143,968,800 seconds is equal to 435,824,530 years, 8 weeks, 5 days, 2 hours, 53 minutes, 20 seconds.
• To count from 1 to 13,706,507,143,968,800 would take you about one billion, three hundred seven million, four hundred seventy-three thousand, five hundred ninety 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 13706507143968800 cubic inches would be around 19943.2 feet tall.

Recreational maths with 13706507143968800

• 13706507143968800 backwards is 00886934170560731
• The number of decimal digits it has is: 17
• The sum of 13706507143968800's digits is 68
• More coming soon!