45462690
45,462,690 is an even composite number composed of six prime numbers multiplied together.
45462690 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 45462690:
2 × 32 × 5 × 72 × 132 × 61
(2 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 61)See below for interesting mathematical facts about the number 45462690 from the Numbermatics database.
Names of 45462690
- Cardinal: 45462690 can be written as Forty-five million, four hundred sixty-two thousand, six hundred ninety.
Scientific notation
- Scientific notation: 4.546269 × 107
Factors of 45462690
Divisors of 45462690
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 61 63 65 70 78 90 91 98 105 117 122 126 130 147 169 182 183 195 210 234 245 273 294 305 315 338 366 390 427 441 455 490 507 546 549 585 610 630 637 735 793 819 845 854 882 910 915 1014 1098 1170 1183 1274 1281 1365 1470 1521 1586 1638 1690 1830 1911 2135 2205 2366 2379 2535 2562 2730 2745 2989 3042 3185 3549 3822 3843 3965 4095 4270 4410 4758 5070 5490 5551 5733 5915 5978 6370 6405 7098 7137 7605 7686 7930 8190 8281 8967 9555 10309 10647 11102 11466 11830 11895 12810 14274 14945 15210 16562 16653 17745 17934 19110 19215 20618 21294 23790 24843 26901 27755 28665 29890 30927 33306 35490 35685 38430 38857 41405 44835 49686 49959 51545 53235 53802 55510 57330 61854 71370 72163 74529 77714 82810 83265 89670 92781 99918 103090 106470 116571 124215 134505 144326 149058 154635 166530 185562 194285 216489 233142 248430 249795 269010 309270 349713 360815 372645 388570 432978 463905 499590 505141 582855 649467 699426 721630 745290 927810 1010282 1082445 1165710 1298934 1515423 1748565 2164890 2525705 3030846 3247335 3497130 4546269 5051410 6494670 7577115 9092538 15154230 22731345 45462690
- Sum of all divisors σ(n): 151332948
- Sum of proper divisors (its aliquot sum) s(n): 105870258
- 45462690 is an abundant number, because the sum of its proper divisors (105870258) is greater than itself. Its abundance is 60407568
Bases of 45462690
- Binary: 101011010110110100101000102
- Hexadecimal: 0x2B5B4A2
- Base-36: R2F8I
Squares and roots of 45462690
- 45462690 squared (454626902) is 2066856182036100
- 45462690 cubed (454626903) is 93964841878490783109000
-
The
square root of 45462690 is 6742.6026132347 -
The
cube root of 45462690 is 356.9042419063
Scales and comparisons
How big is 45462690?- 45,462,690 seconds is equal to 1 year, 23 weeks, 1 day, 4 hours, 31 minutes, 30 seconds.
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To count from 1 to 45,462,690 would take you about two 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 45462690 cubic inches would be around 29.7 feet tall.
Recreational maths with 45462690
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