385319025
385,319,025 is an odd composite number composed of six prime numbers multiplied together.
385319025 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 385319025:
35 × 52 × 7 × 13 × 17 × 41
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 17 × 41)See below for interesting mathematical facts about the number 385319025 from the Numbermatics database.
Names of 385319025
- Cardinal: 385319025 can be written as Three hundred eighty-five million, three hundred nineteen thousand and twenty-five.
Scientific notation
- Scientific notation: 3.85319025 × 108
Factors of 385319025
Divisors of 385319025
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 35 39 41 45 51 63 65 75 81 85 91 105 117 119 123 135 153 175 189 195 205 221 225 243 255 273 287 315 325 351 357 369 405 425 455 459 525 533 567 585 595 615 663 675 697 765 819 861 945 975 1025 1053 1071 1105 1107 1215 1275 1365 1377 1435 1547 1575 1599 1701 1755 1785 1845 1989 2025 2091 2275 2295 2457 2583 2665 2835 2925 2975 3075 3159 3213 3315 3321 3485 3731 3825 4095 4131 4305 4641 4725 4797 4879 5265 5355 5525 5535 5967 6075 6273 6825 6885 7175 7371 7735 7749 7995 8505 8775 8925 9061 9225 9639 9945 9963 10455 11193 11475 12285 12915 13325 13923 14175 14391 14637 15795 16065 16575 16605 17425 17901 18655 18819 20475 20655 21525 22113 23205 23247 23985 24395 26325 26775 27183 27675 28917 29835 31365 33579 34425 36855 38675 38745 39975 41769 42525 43173 43911 45305 48195 49725 49815 52275 53703 55965 56457 61425 63427 64575 69615 69741 71955 73185 78975 80325 81549 83025 89505 93275 94095 100737 103275 110565 116025 116235 119925 121975 125307 129519 131733 135915 144585 149175 156825 167895 169371 184275 190281 193725 208845 215865 219555 226525 240975 244647 249075 268515 279825 282285 302211 317135 348075 348705 359775 365925 375921 395199 407745 447525 470475 503685 552825 570843 581175 626535 647595 658665 679575 722925 733941 839475 846855 906633 951405 1044225 1079325 1097775 1185597 1223235 1342575 1411425 1511055 1585675 1712529 1743525 1879605 1975995 2038725 2201823 2518425 2854215 3132675 3237975 3293325 3669705 4234275 4533165 4757025 5137587 5927985 6116175 7555275 8562645 9398025 9879975 11009115 14271075 15412761 18348525 22665825 25687935 29639925 42813225 55045575 77063805 128439675 385319025
- Sum of all divisors σ(n): 955438848
- Sum of proper divisors (its aliquot sum) s(n): 570119823
- 385319025 is an abundant number, because the sum of its proper divisors (570119823) is greater than itself. Its abundance is 184800798
Bases of 385319025
- Binary: 101101111011110000000011100012
- Hexadecimal: 0x16F78071
- Base-36: 6DEQ29
Squares and roots of 385319025
- 385319025 squared (3853190252) is 148470751026950625
- 385319025 cubed (3853190253) is 57208605026722363548140625
-
The
square root of 385319025 is 19629.5446967065 -
The
cube root of 385319025 is 727.6795178199
Scales and comparisons
How big is 385319025?- 385,319,025 seconds is equal to 12 years, 13 weeks, 17 hours, 3 minutes, 45 seconds.
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To count from 1 to 385,319,025 would take you about eighteen 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 385319025 cubic inches would be around 60.6 feet tall.
Recreational maths with 385319025
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