122285625
122,285,625 is an odd composite number composed of four prime numbers multiplied together.
122285625 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 122285625:
3 × 54 × 72 × 113
(3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11)See below for interesting mathematical facts about the number 122285625 from the Numbermatics database.
Names of 122285625
- Cardinal: 122285625 can be written as One hundred twenty-two million, two hundred eighty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.22285625 × 108
Factors of 122285625
Divisors of 122285625
- Number of divisors d(n): 120
-
Complete list of divisors:
1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 125 147 165 175 231 245 275 363 375 385 525 539 605 625 735 825 847 875 1155 1225 1331 1375 1617 1815 1875 1925 2541 2625 2695 3025 3675 3993 4125 4235 4375 5775 5929 6125 6655 6875 8085 9075 9317 9625 12705 13125 13475 15125 17787 18375 19965 20625 21175 27951 28875 29645 30625 33275 40425 45375 46585 48125 63525 65219 67375 75625 88935 91875 99825 105875 139755 144375 148225 166375 195657 202125 226875 232925 317625 326095 336875 444675 499125 529375 698775 741125 831875 978285 1010625 1164625 1588125 1630475 2223375 2495625 3493875 3705625 4891425 5823125 8152375 11116875 17469375 24457125 40761875 122285625
- Sum of all divisors σ(n): 260691552
- Sum of proper divisors (its aliquot sum) s(n): 138405927
- 122285625 is an abundant number, because the sum of its proper divisors (138405927) is greater than itself. Its abundance is 16120302
Bases of 122285625
- Binary: 1110100100111101110001110012
- Hexadecimal: 0x749EE39
- Base-36: 20T06X
Squares and roots of 122285625
- 122285625 squared (1222856252) is 14953774081640625
- 122285625 cubed (1222856253) is 1828631609682224853515625
-
The
square root of 122285625 is 11058.2830945857 -
The
cube root of 122285625 is 496.3543159149
Scales and comparisons
How big is 122285625?- 122,285,625 seconds is equal to 3 years, 46 weeks, 1 day, 8 hours, 13 minutes, 45 seconds.
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To count from 1 to 122,285,625 would take you about 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 122285625 cubic inches would be around 41.4 feet tall.
Recreational maths with 122285625
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