46638599396432001

Names of 46638599396432001

• Cardinal: 46638599396432001 can be written as Forty-six quadrillion, six hundred thirty-eight trillion, five hundred ninety-nine billion, three hundred ninety-six million, four hundred thirty-two thousand and one.

Scientific notation

• Scientific notation: 4.6638599396432001 × 10¹⁶

Factors of 46638599396432001

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 400406381

Divisors of 46638599396432001

• Number of divisors d(n): 32
• Complete list of divisors:
  1 3 7 21 163 489 1141 3423 34031 102093 238217 714651 5547053 16641159 38829371 116488113 400372177 1201116531 2802605239 8407815717 65260664851 195781994553 456824653957 1370473961871 13625065555487 40875196666461 95375458888409 286126376665227 2220885685544381 6662657056633143 15546199798810667 46638599396432001
• Sum of all divisors σ(n): 71506445366980608
• Sum of proper divisors (its aliquot sum) s(n): 24867845970548607
• 46638599396432001 is a deficient number, because the sum of its proper divisors (24867845970548607) is less than itself. Its deficiency is 21770753425883394

Bases of 46638599396432001

• Binary: 10100101101100011000111100011101110110001001100010000001₂
• Hexadecimal: 0xA5B18F1DD89881
• Base-36: CR804S3OM0X

Squares and roots of 46638599396432001

• 46638599396432001 squared (46638599396432001²) is 2175158953660867407971529416864001
• 46638599396432001 cubed (46638599396432001³) is 101446367063351393525397505827660737932358061296001
• The square root of 46638599396432001 is 215959717.0687904031
• The cube root of 46638599396432001 is 359955.2397962133

Scales and comparisons

• 46,638,599,396,432,001 seconds is equal to 1,482,963,198 years, 7 weeks, 4 days, 8 hours, 53 minutes, 21 seconds.
• To count from 1 to 46,638,599,396,432,001 would take you about four billion, four hundred forty-eight million, eight hundred eighty-nine thousand, five hundred ninety-four 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 46638599396432001 cubic inches would be around 29996.3 feet tall.

Recreational maths with 46638599396432001

• 46638599396432001 backwards is 10023469399583664
• The number of decimal digits it has is: 17
• The sum of 46638599396432001's digits is 78
• More coming soon!