314040320
314,040,320 is an even composite number composed of five prime numbers multiplied together.
314040320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 314040320:
213 × 5 × 11 × 17 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 41)See below for interesting mathematical facts about the number 314040320 from the Numbermatics database.
Names of 314040320
- Cardinal: 314040320 can be written as Three hundred fourteen million, forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.1404032 × 108
Factors of 314040320
Divisors of 314040320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 32 34 40 41 44 55 64 68 80 82 85 88 110 128 136 160 164 170 176 187 205 220 256 272 320 328 340 352 374 410 440 451 512 544 640 656 680 697 704 748 820 880 902 935 1024 1088 1280 1312 1360 1394 1408 1496 1640 1760 1804 1870 2048 2176 2255 2560 2624 2720 2788 2816 2992 3280 3485 3520 3608 3740 4096 4352 4510 5120 5248 5440 5576 5632 5984 6560 6970 7040 7216 7480 7667 8192 8704 9020 10240 10496 10880 11152 11264 11968 13120 13940 14080 14432 14960 15334 17408 18040 20480 20992 21760 22304 22528 23936 26240 27880 28160 28864 29920 30668 34816 36080 38335 40960 41984 43520 44608 45056 47872 52480 55760 56320 57728 59840 61336 69632 72160 76670 83968 87040 89216 90112 95744 104960 111520 112640 115456 119680 122672 139264 144320 153340 167936 174080 178432 191488 209920 223040 225280 230912 239360 245344 288640 306680 335872 348160 356864 382976 419840 446080 450560 461824 478720 490688 577280 613360 696320 713728 765952 839680 892160 923648 957440 981376 1154560 1226720 1427456 1531904 1679360 1784320 1847296 1914880 1962752 2309120 2453440 2854912 3568640 3694592 3829760 3925504 4618240 4906880 5709824 7137280 7659520 7851008 9236480 9813760 14274560 15702016 18472960 19627520 28549120 31404032 39255040 62808064 78510080 157020160 314040320
- Sum of all divisors σ(n): 891759456
- Sum of proper divisors (its aliquot sum) s(n): 577719136
- 314040320 is an abundant number, because the sum of its proper divisors (577719136) is greater than itself. Its abundance is 263678816
Bases of 314040320
- Binary: 100101011011111100000000000002
- Hexadecimal: 0x12B7E000
- Base-36: 56YZ28
Squares and roots of 314040320
- 314040320 squared (3140403202) is 98621322585702400
- 314040320 cubed (3140403203) is 30971071703637209120768000
-
The
square root of 314040320 is 17721.1828047679 -
The
cube root of 314040320 is 679.7175297377
Scales and comparisons
How big is 314040320?- 314,040,320 seconds is equal to 9 years, 51 weeks, 1 day, 17 hours, 25 minutes, 20 seconds.
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To count from 1 to 314,040,320 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 314040320 cubic inches would be around 56.6 feet tall.
Recreational maths with 314040320
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