145952625
145,952,625 is an odd composite number composed of five prime numbers multiplied together.
145952625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 145952625:
3 × 53 × 72 × 132 × 47
(3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 47)See below for interesting mathematical facts about the number 145952625 from the Numbermatics database.
Names of 145952625
- Cardinal: 145952625 can be written as One hundred forty-five million, nine hundred fifty-two thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.45952625 × 108
Factors of 145952625
Divisors of 145952625
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 13 15 21 25 35 39 47 49 65 75 91 105 125 141 147 169 175 195 235 245 273 325 329 375 455 507 525 611 637 705 735 845 875 975 987 1175 1183 1225 1365 1625 1645 1833 1911 2275 2303 2535 2625 3055 3185 3525 3549 3675 4225 4277 4875 4935 5875 5915 6125 6825 6909 7943 8225 8281 9165 9555 11375 11515 12675 12831 15275 15925 17625 17745 18375 21125 21385 23829 24675 24843 29575 29939 34125 34545 39715 41125 41405 45825 47775 55601 57575 63375 64155 76375 79625 88725 89817 106925 119145 123375 124215 147875 149695 166803 172725 198575 207025 229125 238875 278005 287875 320775 389207 443625 449085 534625 595725 621075 748475 834015 863625 992875 1035125 1167621 1390025 1603875 1946035 2245425 2978625 3105375 3742375 4170075 5838105 6950125 9730175 11227125 20850375 29190525 48650875 145952625
- Sum of all divisors σ(n): 312429312
- Sum of proper divisors (its aliquot sum) s(n): 166476687
- 145952625 is an abundant number, because the sum of its proper divisors (166476687) is greater than itself. Its abundance is 20524062
Bases of 145952625
- Binary: 10001011001100001111011100012
- Hexadecimal: 0x8B30F71
- Base-36: 2EW9RL
Squares and roots of 145952625
- 145952625 squared (1459526252) is 21302168744390625
- 145952625 cubed (1459526253) is 3109107446436765744140625
-
The
square root of 145952625 is 12081.0854230901 -
The
cube root of 145952625 is 526.5067824153
Scales and comparisons
How big is 145952625?- 145,952,625 seconds is equal to 4 years, 33 weeks, 2 days, 6 hours, 23 minutes, 45 seconds.
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To count from 1 to 145,952,625 would take you about six 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 145952625 cubic inches would be around 43.9 feet tall.
Recreational maths with 145952625
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