34014938813827296

Names of 34014938813827296

• Cardinal: 34014938813827296 can be written as Thirty-four quadrillion, fourteen trillion, nine hundred thirty-eight billion, eight hundred thirteen million, eight hundred twenty-seven thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 3.4014938813827296 × 10¹⁶

Factors of 34014938813827296

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 27255559946995

Divisors of 34014938813827296

• Number of divisors d(n): 48
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 27255559946977 54511119893954 81766679840931 109022239787908 163533359681862 218044479575816 327066719363724 354322279310701 436088959151632 654133438727448 708644558621402 872177918303264 1062966837932103 1308266877454896 1417289117242804 2125933675864206 2616533754909792 2834578234485608 4251867351728412 5669156468971216 8503734703456824 11338312937942432 17007469406913648 34014938813827296
• Sum of all divisors σ(n): 96157615492938384
• Sum of proper divisors (its aliquot sum) s(n): 62142676679111088
• 34014938813827296 is an abundant number, because the sum of its proper divisors (62142676679111088) is greater than itself. Its abundance is 28127737865283792

Bases of 34014938813827296

• Binary: 1111000110110000110100000011001000011100000100011100000₂
• Hexadecimal: 0x78D868190E08E0
• Base-36: 9AXAF6223MO

Squares and roots of 34014938813827296

• 34014938813827296 squared (34014938813827296²) is 1157016062508414694610163714671616
• 34014938813827296 cubed (34014938813827296³) is 39355830572839103895243761085660018628324777230336
• The square root of 34014938813827296 is 184431393.2437406277
• The cube root of 34014938813827296 is 324008.6201976307

Scales and comparisons

• 34,014,938,813,827,296 seconds is equal to 1,081,569,839 years, 8 weeks, 4 days, 8 hours, 1 minute, 36 seconds.
• To count from 1 to 34,014,938,813,827,296 would take you about three billion, two hundred forty-four million, seven hundred nine thousand, five hundred seventeen 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 34014938813827296 cubic inches would be around 27000.7 feet tall.

Recreational maths with 34014938813827296

• 34014938813827296 backwards is 69272831883941043
• 34014938813827296 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34014938813827296's digits is 78
• More coming soon!