164385312
164,385,312 is an even composite number composed of six prime numbers multiplied together.
164385312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 164385312:
25 × 3 × 7 × 13 × 31 × 607
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 31 × 607)See below for interesting mathematical facts about the number 164385312 from the Numbermatics database.
Names of 164385312
- Cardinal: 164385312 can be written as One hundred sixty-four million, three hundred eighty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.64385312 × 108
Factors of 164385312
Divisors of 164385312
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 32 39 42 48 52 56 62 78 84 91 93 96 104 112 124 156 168 182 186 208 217 224 248 273 312 336 364 372 403 416 434 496 546 607 624 651 672 728 744 806 868 992 1092 1209 1214 1248 1302 1456 1488 1612 1736 1821 2184 2418 2428 2604 2821 2912 2976 3224 3472 3642 4249 4368 4836 4856 5208 5642 6448 6944 7284 7891 8463 8498 8736 9672 9712 10416 11284 12747 12896 14568 15782 16926 16996 18817 19344 19424 20832 22568 23673 25494 29136 31564 33852 33992 37634 38688 45136 47346 50988 55237 56451 58272 63128 67704 67984 75268 90272 94692 101976 110474 112902 126256 131719 135408 135968 150536 165711 189384 203952 220948 225804 244621 252512 263438 270816 301072 331422 378768 395157 407904 441896 451608 489242 526876 602144 662844 733863 757536 790314 883792 903216 978484 1053752 1325688 1467726 1580628 1712347 1767584 1806432 1956968 2107504 2651376 2935452 3161256 3424694 3913936 4215008 5137041 5302752 5870904 6322512 6849388 7827872 10274082 11741808 12645024 13698776 20548164 23483616 27397552 41096328 54795104 82192656 164385312
- Sum of all divisors σ(n): 549126144
- Sum of proper divisors (its aliquot sum) s(n): 384740832
- 164385312 is an abundant number, because the sum of its proper divisors (384740832) is greater than itself. Its abundance is 220355520
Bases of 164385312
- Binary: 10011100110001010010001000002
- Hexadecimal: 0x9CC5220
- Base-36: 2PVCIO
Squares and roots of 164385312
- 164385312 squared (1643853122) is 27022530801337344
- 164385312 cubed (1643853123) is 4442107156807449310691328
-
The
square root of 164385312 is 12821.2835550891 -
The
cube root of 164385312 is 547.7987077491
Scales and comparisons
How big is 164385312?- 164,385,312 seconds is equal to 5 years, 11 weeks, 5 days, 14 hours, 35 minutes, 12 seconds.
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To count from 1 to 164,385,312 would take you about seven 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 164385312 cubic inches would be around 45.6 feet tall.
Recreational maths with 164385312
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The information we have on file for 164385312 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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