390138390118400001

Names of 390138390118400001

• Cardinal: 390138390118400001 can be written as Three hundred ninety quadrillion, one hundred thirty-eight trillion, three hundred ninety billion, one hundred eighteen million, four hundred thousand and one.

Scientific notation

• Scientific notation: 3.90138390118400001 × 10¹⁷

Factors of 390138390118400001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 2951291776

Divisors of 390138390118400001

• Number of divisors d(n): 16
• Complete list of divisors:
  1 3 13 39 3393451 10180353 44114863 132344589 2947898309 8843694927 38322678017 114968034051 10003548464574359 30010645393723077 130046130039466667 390138390118400001
• Sum of all divisors σ(n): 560198879288502720
• Sum of proper divisors (its aliquot sum) s(n): 170060489170102719
• 390138390118400001 is a deficient number, because the sum of its proper divisors (170060489170102719) is less than itself. Its deficiency is 220077900948297282

Bases of 390138390118400001

• Binary: 10101101010000011001100110001111100010000000000000000000001₂
• Hexadecimal: 0x56A0CCC7C400001
• Base-36: 2YPGIM5TRNCX

Squares and roots of 390138390118400001

• 390138390118400001 squared (390138390118400001²) is 152207963444176871546295340236800001
• 390138390118400001 cubed (390138390118400001³) is 59382169821311442564306979539745610972470850355200001
• The square root of 390138390118400001 is 624610590.7830894289
• The cube root of 390138390118400001 is 730700.7658253381

Scales and comparisons

• 390,138,390,118,400,001 seconds is equal to 12,405,194,028 years, 25 weeks, 3 days, 8 hours, 53 minutes, 21 seconds.
• To count from 1 to 390,138,390,118,400,001 would take you about thirty-seven billion, two hundred fifteen million, five hundred eighty-two thousand and 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 390138390118400001 cubic inches would be around 60891.7 feet tall.

Recreational maths with 390138390118400001

• 390138390118400001 backwards is 100004811093831093
• The number of decimal digits it has is: 18
• The sum of 390138390118400001's digits is 51
• More coming soon!