146137152
146,137,152 is an even composite number composed of five prime numbers multiplied together.
146137152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 146137152:
26 × 3 × 7 × 227 × 479
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 227 × 479)See below for interesting mathematical facts about the number 146137152 from the Numbermatics database.
Names of 146137152
- Cardinal: 146137152 can be written as One hundred forty-six million, one hundred thirty-seven thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.46137152 × 108
Factors of 146137152
Divisors of 146137152
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 227 336 448 454 479 672 681 908 958 1344 1362 1437 1589 1816 1916 2724 2874 3178 3353 3632 3832 4767 5448 5748 6356 6706 7264 7664 9534 10059 10896 11496 12712 13412 14528 15328 19068 20118 21792 22992 25424 26824 30656 38136 40236 43584 45984 50848 53648 76272 80472 91968 101696 107296 108733 152544 160944 214592 217466 305088 321888 326199 434932 643776 652398 761131 869864 1304796 1522262 1739728 2283393 2609592 3044524 3479456 4566786 5219184 6089048 6958912 9133572 10438368 12178096 18267144 20876736 24356192 36534288 48712384 73068576 146137152
- Sum of all divisors σ(n): 444764160
- Sum of proper divisors (its aliquot sum) s(n): 298627008
- 146137152 is an abundant number, because the sum of its proper divisors (298627008) is greater than itself. Its abundance is 152489856
Bases of 146137152
- Binary: 10001011010111100000010000002
- Hexadecimal: 0x8B5E040
- Base-36: 2F085C
Squares and roots of 146137152
- 146137152 squared (1461371522) is 21356067194671104
- 146137152 cubed (1461371523) is 3120914837749864715255808
-
The
square root of 146137152 is 12088.7200315005 -
The
cube root of 146137152 is 526.7285753927
Scales and comparisons
How big is 146137152?- 146,137,152 seconds is equal to 4 years, 33 weeks, 4 days, 9 hours, 39 minutes, 12 seconds.
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To count from 1 to 146,137,152 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 146137152 cubic inches would be around 43.9 feet tall.
Recreational maths with 146137152
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