901349198889216007

Names of 901349198889216007

• Cardinal: 901349198889216007 can be written as Nine hundred one quadrillion, three hundred forty-nine trillion, one hundred ninety-eight billion, eight hundred eighty-nine million, two hundred sixteen thousand and seven.

Scientific notation

• Scientific notation: 9.01349198889216007 × 10¹⁷

Factors of 901349198889216007

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1023

Divisors of 901349198889216007

• Number of divisors d(n): 50
• Complete list of divisors:
  1 7 19 133 361 997 2527 6859 6979 18943 48013 130321 132601 359917 912247 994009 2519419 6838423 6958063 18886171 47868961 129930037 132203197 358837249 909510259 991026973 2511860743 6817907731 6937188811 18829512487 47725354117 129540246889 131806587409 357760737253 906781728223 988053892081 2504325160771 6797454007807 6916377244567 18773023949539 47582178054649 129151626148333 131411167646773 356687455041241 904061383038331 2496812185288687 6777061645783579 47439431520485053 128764171269888001 901349198889216007
• Sum of all divisors σ(n): 1088433159873161768
• Sum of proper divisors (its aliquot sum) s(n): 187083960983945761
• 901349198889216007 is a deficient number, because the sum of its proper divisors (187083960983945761) is less than itself. Its deficiency is 714265237905270246

Bases of 901349198889216007

• Binary: 110010000010001111000101001000100010010111111110100000000111₂
• Hexadecimal: 0xC823C52225FE807
• Base-36: 6UJ1MHLZYY2V

Squares and roots of 901349198889216007

• 901349198889216007 squared (901349198889216007²) is 812430378338231474307129879105024049
• 901349198889216007 cubed (901349198889216007³) is 732283470668427609096510609238259507065024920490752343
• The square root of 901349198889216007 is 949394122.0005609487
• The cube root of 901349198889216007 is 965971.6019444223

Scales and comparisons

• 901,349,198,889,216,007 seconds is equal to 28,660,116,468 years, 28 weeks, 3 days, 2 hours, 40 minutes, 7 seconds.
• To count from 1 to 901,349,198,889,216,007 would take you about eighty-five billion, nine hundred eighty million, three hundred forty-nine thousand, four hundred 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 901349198889216007 cubic inches would be around 80497.6 feet tall.

Recreational maths with 901349198889216007

• 901349198889216007 backwards is 700612988891943109
• The number of decimal digits it has is: 18
• The sum of 901349198889216007's digits is 85
• More coming soon!