514142400
514,142,400 is an even composite number composed of six prime numbers multiplied together.
514142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 514142400:
26 × 3 × 52 × 43 × 47 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 43 × 47 × 53)See below for interesting mathematical facts about the number 514142400 from the Numbermatics database.
Names of 514142400
- Cardinal: 514142400 can be written as Five hundred fourteen million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 5.141424 × 108
Factors of 514142400
Divisors of 514142400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 47 48 50 53 60 64 75 80 86 94 96 100 106 120 129 141 150 159 160 172 188 192 200 212 215 235 240 258 265 282 300 318 320 344 376 400 424 430 470 480 516 530 564 600 636 645 688 705 752 795 800 848 860 940 960 1032 1060 1075 1128 1175 1200 1272 1290 1325 1376 1410 1504 1590 1600 1696 1720 1880 2021 2064 2120 2150 2256 2279 2350 2400 2491 2544 2580 2650 2752 2820 3008 3180 3225 3392 3440 3525 3760 3975 4042 4128 4240 4300 4512 4558 4700 4800 4982 5088 5160 5300 5640 6063 6360 6450 6837 6880 7050 7473 7520 7950 8084 8256 8480 8600 9024 9116 9400 9964 10105 10176 10320 10600 11280 11395 12126 12455 12720 12900 13674 13760 14100 14946 15040 15900 16168 16960 17200 18232 18800 19928 20210 20640 21200 22560 22790 24252 24910 25440 25800 27348 28200 29892 30315 31800 32336 34185 34400 36464 37365 37600 39856 40420 41280 42400 45120 45580 48504 49820 50525 50880 51600 54696 56400 56975 59784 60630 62275 63600 64672 68370 68800 72928 74730 75200 79712 80840 84800 91160 97008 99640 101050 103200 107113 109392 112800 113950 119568 121260 124550 127200 129344 136740 145856 149460 151575 159424 161680 170925 182320 186825 194016 199280 202100 206400 214226 218784 225600 227900 239136 242520 249100 254400 273480 298920 303150 321339 323360 341850 364640 373650 388032 398560 404200 428452 437568 455800 478272 485040 498200 535565 546960 597840 606300 642678 646720 683700 729280 747300 797120 808400 856904 911600 970080 996400 1071130 1093920 1195680 1212600 1285356 1367400 1494600 1606695 1616800 1713808 1823200 1940160 1992800 2142260 2187840 2391360 2425200 2570712 2677825 2734800 2989200 3213390 3233600 3427616 3646400 3985600 4284520 4850400 5141424 5355650 5469600 5978400 6426780 6855232 8033475 8569040 9700800 10282848 10711300 10939200 11956800 12853560 16066950 17138080 20565696 21422600 25707120 32133900 34276160 42845200 51414240 64267800 85690400 102828480 128535600 171380800 257071200 514142400
- Sum of all divisors σ(n): 1796027904
- Sum of proper divisors (its aliquot sum) s(n): 1281885504
- 514142400 is an abundant number, because the sum of its proper divisors (1281885504) is greater than itself. Its abundance is 767743104
Bases of 514142400
- Binary: 111101010010100110000110000002
- Hexadecimal: 0x1EA530C0
- Base-36: 8I3UTC
Squares and roots of 514142400
- 514142400 squared (5141424002) is 264342407477760000
- 514142400 cubed (5141424003) is 135909639802393473024000000
-
The
square root of 514142400 is 22674.7083773971 -
The
cube root of 514142400 is 801.1142805863
Scales and comparisons
How big is 514142400?- 514,142,400 seconds is equal to 16 years, 18 weeks, 17 hours, 20 minutes.
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To count from 1 to 514,142,400 would take you about twenty-four 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 514142400 cubic inches would be around 66.8 feet tall.
Recreational maths with 514142400
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