972753980303761920001

Names of 972753980303761920001

• Cardinal: 972753980303761920001 can be written as Nine hundred seventy-two quintillion, seven hundred fifty-three quadrillion, nine hundred eighty trillion, three hundred three billion, seven hundred sixty-one million, nine hundred twenty thousand and one.

Scientific notation

• Scientific notation: 9.72753980303761920001 × 10²⁰

Factors of 972753980303761920001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 5074931867916

Divisors of 972753980303761920001

• Number of divisors d(n): 16
• Complete list of divisors:
  1 19 23 437 438623 8333837 10088329 191678251 5074931429251 96423697155769 116723422872773 2217745034582687 2225981648292361373 42293651317554866087 51197577910724311579 972753980303761920001
• Sum of all divisors σ(n): 1068473627147630039040
• Sum of proper divisors (its aliquot sum) s(n): 95719646843868119039
• 972753980303761920001 is a deficient number, because the sum of its proper divisors (95719646843868119039) is less than itself. Its deficiency is 877034333459893800962

Bases of 972753980303761920001

• Binary: 1101001011101110101100010111110011011011111101000011101101000000000001₂
• Hexadecimal: 0x34BBAC5F36FD0ED001
• Base-36: 5PAJ177JNCZY81

Squares and roots of 972753980303761920001

• 972753980303761920001 squared (972753980303761920001²) is 946250306196811633399100012002693923840001
• 972753980303761920001 cubed (972753980303761920001³) is 920468751716601989511153115039511842688538307443955170485760001
• The square root of 972753980303761920001 is 31189004156.9743281215
• The cube root of 972753980303761920001 is 9908342.3893412569

Scales and comparisons

• 972,753,980,303,761,920,001 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 972,753,980,303,761,920,001 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 972753980303761920001 cubic inches would be around 825695.2 feet tall.

Recreational maths with 972753980303761920001

• 972753980303761920001 backwards is 100029167303089357279
• The number of decimal digits it has is: 21
• The sum of 972753980303761920001's digits is 82
• More coming soon!