106836188509920800

Names of 106836188509920800

• Cardinal: 106836188509920800 can be written as One hundred six quadrillion, eight hundred thirty-six trillion, one hundred eighty-eight billion, five hundred nine million, nine hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.068361885099208 × 10¹⁷

Factors of 106836188509920800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 19077890805357

Divisors of 106836188509920800

• Number of divisors d(n): 72
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 19077890805343 38155781610686 76311563221372 95389454026715 133545235637401 152623126442744 190778908053430 267090471274802 305246252885488 381557816106860 476947270133575 534180942549604 610492505770976 667726178187005 763115632213720 953894540267150 1068361885099208 1335452356374010 1526231264427440 1907789080534300 2136723770198416 2670904712748020 3052462528854880 3338630890935025 3815578161068600 4273447540396832 5341809425496040 6677261781870050 7631156322137200 10683618850992080 13354523563740100 15262312644274400 21367237701984160 26709047127480200 53418094254960400 106836188509920800
• Sum of all divisors σ(n): 298072965942694656
• Sum of proper divisors (its aliquot sum) s(n): 191236777432773856
• 106836188509920800 is an abundant number, because the sum of its proper divisors (191236777432773856) is greater than itself. Its abundance is 84400588922853056

Bases of 106836188509920800

• Binary: 101111011100011101111001010001001010010100101111000100000₂
• Hexadecimal: 0x17B8EF2894A5E20
• Base-36: T7Y9NG25UZK

Squares and roots of 106836188509920800

• 106836188509920800 squared (106836188509920800²) is 11413971175327333167840022272640000
• 106836188509920800 cubed (106836188509920800³) is 1219425176134073240757846164255472725602406912000000
• The square root of 106836188509920800 is 326858055.5989416027
• The cube root of 106836188509920800 is 474503.5455834873

Scales and comparisons

• 106,836,188,509,920,800 seconds is equal to 3,397,060,328 years, 30 weeks, 3 days, 13 hours, 33 minutes, 20 seconds.
• To count from 1 to 106,836,188,509,920,800 would take you about ten billion, one hundred ninety-one million, one hundred eighty thousand, nine hundred eighty-five 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 106836188509920800 cubic inches would be around 39542 feet tall.

Recreational maths with 106836188509920800

• 106836188509920800 backwards is 008029905881638601
• The number of decimal digits it has is: 18
• The sum of 106836188509920800's digits is 74
• More coming soon!