146142304
146,142,304 is an even composite number composed of five prime numbers multiplied together.
146142304 is an even 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 146142304:
25 × 72 × 11 × 37 × 229
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 37 × 229)See below for interesting mathematical facts about the number 146142304 from the Numbermatics database.
Names of 146142304
- Cardinal: 146142304 can be written as One hundred forty-six million, one hundred forty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 1.46142304 × 108
Factors of 146142304
Divisors of 146142304
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 37 44 49 56 74 77 88 98 112 148 154 176 196 224 229 259 296 308 352 392 407 458 518 539 592 616 784 814 916 1036 1078 1184 1232 1568 1603 1628 1813 1832 2072 2156 2464 2519 2849 3206 3256 3626 3664 4144 4312 5038 5698 6412 6512 7252 7328 8288 8473 8624 10076 11221 11396 12824 13024 14504 16946 17248 17633 19943 20152 22442 22792 25648 29008 33892 35266 39886 40304 44884 45584 51296 58016 59311 67784 70532 79772 80608 89768 91168 93203 118622 123431 135568 141064 159544 179536 186406 237244 246862 271136 282128 319088 359072 372812 415177 474488 493724 564256 638176 652421 745624 830354 948976 987448 1304842 1491248 1660708 1897952 1974896 2609684 2982496 3321416 3949792 4566947 5219368 6642832 9133894 10438736 13285664 18267788 20877472 36535576 73071152 146142304
- Sum of all divisors σ(n): 376624080
- Sum of proper divisors (its aliquot sum) s(n): 230481776
- 146142304 is an abundant number, because the sum of its proper divisors (230481776) is greater than itself. Its abundance is 84339472
Bases of 146142304
- Binary: 10001011010111110100011000002
- Hexadecimal: 0x8B5F460
- Base-36: 2F0C4G
Squares and roots of 146142304
- 146142304 squared (1461423042) is 21357573018428416
- 146142304 cubed (1461423043) is 3121244928761363173310464
-
The
square root of 146142304 is 12088.9331208343 -
The
cube root of 146142304 is 526.7347651801
Scales and comparisons
How big is 146142304?- 146,142,304 seconds is equal to 4 years, 33 weeks, 4 days, 11 hours, 5 minutes, 4 seconds.
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To count from 1 to 146,142,304 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 146142304 cubic inches would be around 43.9 feet tall.
Recreational maths with 146142304
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