137829934900101333147

Names of 137829934900101333147

• Cardinal: 137829934900101333147 can be written as One hundred thirty-seven quintillion, eight hundred twenty-nine quadrillion, nine hundred thirty-four trillion, nine hundred billion, one hundred one million, three hundred thirty-three thousand, one hundred forty-seven.

Scientific notation

• Scientific notation: 1.37829934900101333147 × 10²⁰

Factors of 137829934900101333147

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 106076083

Divisors of 137829934900101333147

• Number of divisors d(n): 32
• Complete list of divisors:
  1 3 743 2229 14057 41491 42171 124473 10444351 30827813 31333053 92483439 106019789 318059367 583238987 1749716961 78772703227 236318109681 433346567341 1300039702023 1490320173973 4398867065399 4470960521919 13196601196197 1107307889261939 3268358229591457 3321923667785817 9805074688774371 61834874338313743 185504623014941229 45943311633367111049 137829934900101333147
• Sum of all divisors σ(n): 184038114303445501440
• Sum of proper divisors (its aliquot sum) s(n): 46208179403344168293
• 137829934900101333147 is a deficient number, because the sum of its proper divisors (46208179403344168293) is less than itself. Its deficiency is 91621755496757164854

Bases of 137829934900101333147

• Binary: 1110111100011000110010010111000100110001111110000010100000010011011₂
• Hexadecimal: 0x778C64B898FC1409B
• Base-36: T360Q8NCQNKBF

Squares and roots of 137829934900101333147

• 137829934900101333147 squared (137829934900101333147²) is 18997090954566171492108454529006680923609
• 137829934900101333147 cubed (137829934900101333147³) is 2618367809559159309509815575649638028728830992816114166567523
• The square root of 137829934900101333147 is 11740099441.6615284965
• The cube root of 137829934900101333147 is 5165525.5855836351

Scales and comparisons

• 137,829,934,900,101,333,147 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,829,934,900,101,333,147 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137829934900101333147 cubic inches would be around 430460.5 feet tall.

Recreational maths with 137829934900101333147

• 137829934900101333147 backwards is 741333101009439928731
• The number of decimal digits it has is: 21
• The sum of 137829934900101333147's digits is 78
• More coming soon!