30146400
30,146,400 is an even composite number composed of five prime numbers multiplied together.
30146400 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 30146400:
25 × 32 × 52 × 53 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 79)See below for interesting mathematical facts about the number 30146400 from the Numbermatics database.
Names of 30146400
- Cardinal: 30146400 can be written as Thirty million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.01464 × 107
Factors of 30146400
Divisors of 30146400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 72 75 79 80 90 96 100 106 120 144 150 158 159 160 180 200 212 225 237 240 265 288 300 316 318 360 395 400 424 450 474 477 480 530 600 632 636 711 720 790 795 800 848 900 948 954 1060 1185 1200 1264 1272 1325 1422 1440 1580 1590 1696 1800 1896 1908 1975 2120 2370 2385 2400 2528 2544 2650 2844 3160 3180 3555 3600 3792 3816 3950 3975 4187 4240 4740 4770 5088 5300 5688 5925 6320 6360 7110 7200 7584 7632 7900 7950 8374 8480 9480 9540 10600 11376 11850 11925 12561 12640 12720 14220 15264 15800 15900 16748 17775 18960 19080 20935 21200 22752 23700 23850 25122 25440 28440 31600 31800 33496 35550 37683 37920 38160 41870 42400 47400 47700 50244 56880 62805 63200 63600 66992 71100 75366 76320 83740 94800 95400 100488 104675 113760 125610 127200 133984 142200 150732 167480 188415 189600 190800 200976 209350 251220 284400 301464 314025 334960 376830 381600 401952 418700 502440 568800 602928 628050 669920 753660 837400 942075 1004880 1205856 1256100 1507320 1674800 1884150 2009760 2512200 3014640 3349600 3768300 5024400 6029280 7536600 10048800 15073200 30146400
- Sum of all divisors σ(n): 109680480
- Sum of proper divisors (its aliquot sum) s(n): 79534080
- 30146400 is an abundant number, because the sum of its proper divisors (79534080) is greater than itself. Its abundance is 49387680
Bases of 30146400
- Binary: 11100101111111111011000002
- Hexadecimal: 0x1CBFF60
- Base-36: HY540
Squares and roots of 30146400
- 30146400 squared (301464002) is 908805432960000
- 30146400 cubed (301464003) is 27397212104185344000000
-
The
square root of 30146400 is 5490.5737405119 -
The
cube root of 30146400 is 311.2278737839
Scales and comparisons
How big is 30146400?- 30,146,400 seconds is equal to 49 weeks, 5 days, 22 hours.
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To count from 1 to 30,146,400 would take you about twenty-two weeks!
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 30146400 cubic inches would be around 25.9 feet tall.
Recreational maths with 30146400
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