313201200
313,201,200 is an even composite number composed of six prime numbers multiplied together.
313201200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 313201200:
24 × 3 × 52 × 13 × 17 × 1181
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 17 × 1181)See below for interesting mathematical facts about the number 313201200 from the Numbermatics database.
Names of 313201200
- Cardinal: 313201200 can be written as Three hundred thirteen million, two hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 3.132012 × 108
Factors of 313201200
Divisors of 313201200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 34 39 40 48 50 51 52 60 65 68 75 78 80 85 100 102 104 120 130 136 150 156 170 195 200 204 208 221 240 255 260 272 300 312 325 340 390 400 408 425 442 510 520 600 624 650 663 680 780 816 850 884 975 1020 1040 1105 1181 1200 1275 1300 1326 1360 1560 1700 1768 1950 2040 2210 2362 2550 2600 2652 3120 3315 3400 3536 3543 3900 4080 4420 4724 5100 5200 5304 5525 5905 6630 6800 7086 7800 8840 9448 10200 10608 11050 11810 13260 14172 15353 15600 16575 17680 17715 18896 20077 20400 22100 23620 26520 28344 29525 30706 33150 35430 40154 44200 46059 47240 53040 56688 59050 60231 61412 66300 70860 76765 80308 88400 88575 92118 94480 100385 118100 120462 122824 132600 141720 153530 160616 177150 184236 200770 230295 236200 240924 245648 261001 265200 283440 301155 307060 321232 354300 368472 383825 401540 460590 472400 481848 501925 522002 602310 614120 708600 736944 767650 783003 803080 921180 963696 1003850 1044004 1151475 1204620 1228240 1305005 1417200 1505775 1535300 1566006 1606160 1842360 2007700 2088008 2302950 2409240 2610010 3011550 3070600 3132012 3684720 3915015 4015400 4176016 4605900 4818480 5220020 6023100 6141200 6264024 6525025 7830030 8030800 9211800 10440040 12046200 12528048 13050050 15660060 18423600 19575075 20880080 24092400 26100100 31320120 39150150 52200200 62640240 78300300 104400400 156600600 313201200
- Sum of all divisors σ(n): 1144989216
- Sum of proper divisors (its aliquot sum) s(n): 831788016
- 313201200 is an abundant number, because the sum of its proper divisors (831788016) is greater than itself. Its abundance is 518586816
Bases of 313201200
- Binary: 100101010101100010010001100002
- Hexadecimal: 0x12AB1230
- Base-36: 56GZLC
Squares and roots of 313201200
- 313201200 squared (3132012002) is 98094991681440000
- 313201200 cubed (3132012003) is 30723469108617025728000000
-
The
square root of 313201200 is 17697.4913476459 -
The
cube root of 313201200 is 679.1115848955
Scales and comparisons
How big is 313201200?- 313,201,200 seconds is equal to 9 years, 49 weeks, 6 days, 20 minutes.
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To count from 1 to 313,201,200 would take you about fourteen 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 313201200 cubic inches would be around 56.6 feet tall.
Recreational maths with 313201200
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The information we have on file for 313201200 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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