400968225
400,968,225 is an odd composite number composed of four prime numbers multiplied together.
400968225 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 400968225:
36 × 52 × 72 × 449
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 449)See below for interesting mathematical facts about the number 400968225 from the Numbermatics database.
Names of 400968225
- Cardinal: 400968225 can be written as Four hundred million, nine hundred sixty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 4.00968225 × 108
Factors of 400968225
Divisors of 400968225
- Number of divisors d(n): 126
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 243 245 315 405 441 449 525 567 675 729 735 945 1215 1225 1323 1347 1575 1701 2025 2205 2245 2835 3143 3645 3675 3969 4041 4725 5103 6075 6615 6735 8505 9429 11025 11225 11907 12123 14175 15715 18225 19845 20205 22001 25515 28287 33075 33675 35721 36369 42525 47145 59535 60615 66003 78575 84861 99225 101025 109107 110005 127575 141435 178605 181845 198009 235725 254583 297675 303075 327321 330015 424305 545535 550025 594027 707175 763749 893025 909225 990045 1272915 1636605 1650075 1782081 2121525 2291247 2727675 2970135 3818745 4950225 5346243 6364575 8183025 8910405 11456235 14850675 16038729 19093725 26731215 44552025 57281175 80193645 133656075 400968225
- Sum of all divisors σ(n): 869098950
- Sum of proper divisors (its aliquot sum) s(n): 468130725
- 400968225 is an abundant number, because the sum of its proper divisors (468130725) is greater than itself. Its abundance is 67162500
Bases of 400968225
- Binary: 101111110011001001010001000012
- Hexadecimal: 0x17E64A21
- Base-36: 6MQ529
Squares and roots of 400968225
- 400968225 squared (4009682252) is 160775517459650625
- 400968225 cubed (4009682253) is 64465873859252620226390625
-
The
square root of 400968225 is 20024.1909948941 -
The
cube root of 400968225 is 737.4003159341
Scales and comparisons
How big is 400968225?- 400,968,225 seconds is equal to 12 years, 38 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
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To count from 1 to 400,968,225 would take you about nineteen 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 400968225 cubic inches would be around 61.5 feet tall.
Recreational maths with 400968225
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