9009009009009

Names of 9009009009009

• Cardinal: 9009009009009 can be written as Nine trillion, nine billion, nine million, nine thousand and nine.

Scientific notation

• Scientific notation: 9.009009009009 × 10¹²

Factors of 9009009009009

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 2906507

Divisors of 9009009009009

• Number of divisors d(n): 48
• Complete list of divisors:
  1 3 9 31 41 93 123 271 279 369 813 1271 2439 3813 8401 11111 11439 25203 33333 75609 99999 344441 1033323 2906161 3099969 8718483 26155449 90090991 119152601 270272973 357457803 787569631 810818919 1072373409 2362708893 3693730631 7088126679 11081191893 24414658561 32290354871 33243575679 73243975683 96871064613 219731927049 290613193839 1001001001001 3003003003003 9009009009009
• Sum of all divisors σ(n): 13811197790208
• Sum of proper divisors (its aliquot sum) s(n): 4802188781199
• 9009009009009 is a deficient number, because the sum of its proper divisors (4802188781199) is less than itself. Its deficiency is 4206820227810

Bases of 9009009009009

• Binary: 10000011000110010010110010000010000101110001₂
• Hexadecimal: 0x83192C82171
• Base-36: 36YOJCWA9

Squares and roots of 9009009009009

• 9009009009009 squared (9009009009009²) is 81162243324405324243162081
• 9009009009009 cubed (9009009009009³) is 731191381300948135864132942294376187729
• The square root of 9009009009009 is 3001501.1259383195
• The cube root of 9009009009009 is 20807.7764692693

Scales and comparisons

• 9,009,009,009,009 seconds is equal to 286,458 years, 32 weeks, 1 day, 14 hours, 30 minutes, 9 seconds.
• To count from 1 to 9,009,009,009,009 would take you about seven hundred sixteen thousand, one hundred forty-six 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 9009009009009 cubic inches would be around 1734 feet tall.

Recreational maths with 9009009009009

• 9009009009009 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 13
• The sum of 9009009009009's digits is 45
• More coming soon!