45642168
45,642,168 is an even composite number composed of five prime numbers multiplied together.
45642168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 45642168:
23 × 32 × 112 × 132 × 31
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 13 × 31)See below for interesting mathematical facts about the number 45642168 from the Numbermatics database.
Names of 45642168
- Cardinal: 45642168 can be written as Forty-five million, six hundred forty-two thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.5642168 × 107
Factors of 45642168
Divisors of 45642168
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 24 26 31 33 36 39 44 52 62 66 72 78 88 93 99 104 117 121 124 132 143 156 169 186 198 234 242 248 264 279 286 312 338 341 363 372 396 403 429 468 484 507 558 572 676 682 726 744 792 806 858 936 968 1014 1023 1089 1116 1144 1209 1287 1352 1364 1452 1521 1573 1612 1716 1859 2028 2046 2178 2232 2418 2574 2728 2904 3042 3069 3146 3224 3432 3627 3718 3751 4056 4092 4356 4433 4719 4836 5148 5239 5577 6084 6138 6292 7254 7436 7502 8184 8712 8866 9438 9672 10296 10478 11154 11253 12168 12276 12584 13299 14157 14508 14872 15004 15717 16731 17732 18876 20449 20956 22308 22506 24552 26598 28314 29016 30008 31434 33462 33759 35464 37752 39897 40898 41912 44616 45012 47151 48763 53196 56628 57629 61347 62868 66924 67518 79794 81796 90024 94302 97526 106392 113256 115258 122694 125736 133848 135036 146289 159588 163592 172887 184041 188604 195052 230516 245388 270072 292578 319176 345774 368082 377208 390104 438867 461032 490776 518661 585156 633919 691548 736164 877734 1037322 1170312 1267838 1383096 1472328 1755468 1901757 2074644 2535676 3510936 3803514 4149288 5071352 5705271 7607028 11410542 15214056 22821084 45642168
- Sum of all divisors σ(n): 151875360
- Sum of proper divisors (its aliquot sum) s(n): 106233192
- 45642168 is an abundant number, because the sum of its proper divisors (106233192) is greater than itself. Its abundance is 60591024
Bases of 45642168
- Binary: 101011100001110001101110002
- Hexadecimal: 0x2B871B8
- Base-36: R69Q0
Squares and roots of 45642168
- 45642168 squared (456421682) is 2083207499740224
- 45642168 cubed (456421683) is 95082106682003260165632
-
The
square root of 45642168 is 6755.8987559021 -
The
cube root of 45642168 is 357.3732884273
Scales and comparisons
How big is 45642168?- 45,642,168 seconds is equal to 1 year, 23 weeks, 3 days, 6 hours, 22 minutes, 48 seconds.
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To count from 1 to 45,642,168 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 45642168 cubic inches would be around 29.8 feet tall.
Recreational maths with 45642168
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