42064513509200
42,064,513,509,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 42064513509200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
42064513509200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42064513509200:
24 × 52 × 7 × 132 × 17 × 5229043
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 17 × 5229043)See below for interesting mathematical facts about the number 42064513509200 from the Numbermatics database.
Names of 42064513509200
- Cardinal: 42064513509200 can be written as Forty-two trillion, sixty-four billion, five hundred thirteen million, five hundred nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.20645135092 × 1013
Factors of 42064513509200
Divisors of 42064513509200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 34 35 40 50 52 56 65 68 70 80 85 91 100 104 112 119 130 136 140 169 170 175 182 200 208 221 238 260 272 280 325 338 340 350 364 400 425 442 455 476 520 560 595 650 676 680 700 728 845 850 884 910 952 1040 1105 1183 1190 1300 1352 1360 1400 1456 1547 1690 1700 1768 1820 1904 2210 2275 2366 2380 2600 2704 2800 2873 2975 3094 3380 3400 3536 3640 4225 4420 4550 4732 4760 5200 5525 5746 5915 5950 6188 6760 6800 7280 7735 8450 8840 9100 9464 9520 11050 11492 11830 11900 12376 13520 14365 15470 16900 17680 18200 18928 20111 22100 22984 23660 23800 24752 28730 29575 30940 33800 36400 38675 40222 44200 45968 47320 47600 57460 59150 61880 67600 71825 77350 80444 88400 94640 100555 114920 118300 123760 143650 154700 160888 201110 229840 236600 287300 309400 321776 402220 473200 502775 574600 618800 804440 1005550 1149200 1608880 2011100 4022200 5229043 8044400 10458086 20916172 26145215 36603301 41832344 52290430 67977559 73206602 83664688 88893731 104580860 130726075 135955118 146413204 177787462 183016505 209161720 261452150 271910236 292826408 339887795 355574924 366033010 418323440 444468655 475842913 522904300 543820472 585652816 622256117 679775590 711149848 732066020 883708267 888937310 915082525 951685826 1045808600 1087640944 1155618503 1244512234 1359551180 1422299696 1464132040 1699438975 1767416534 1777874620 1830165050 1903371652 2091617200 2222343275 2311237006 2379214565 2489024468 2719102360 2928264080 3111280585 3398877950 3534833068 3555749240 3660330100 3806743304 4418541335 4444686550 4622474012 4758429130 4978048936 5438204720 5778092515 6185957869 6222561170 6797755900 7069666136 7111498480 7320660200 7613486608 8089329521 8837082670 8889373100 9244948024 9516858260 9956097872 11556185030 11896072825 12371915738 12445122340 13595511800 14139332272 14641320400 15023040539 15556402925 16178659042 17674165340 17778746200 18489896048 19033716520 22092706675 23112370060 23792145650 24743831476 24890244680 27191023600 28890462575 30046081078 30929789345 31112805850 32357318084 35348330680 35557492400 38067433040 40446647605 44185413350 46224740120 47584291300 49487662952 49780489360 57780925150 60092162156 61859578690 62225611700 64714636168 70696661360 75115202695 80893295210 88370826700 92449480240 95168582600 98975325904 105161283773 115561850300 120184324312 123719157380 124451223400 129429272336 150230405390 154648946725 161786590420 176741653400 190337165200 202233238025 210322567546 231123700600 240368648624 247438314760 248902446800 300460810780 309297893450 323573180840 353483306800 375576013475 404466476050 420645135092 462247401200 494876629520 525806418865 600921621560 618595786900 647146361680 751152026950 808932952100 841290270184 1051612837730 1201843243120 1237191573800 1502304053900 1617865904200 1682580540368 2103225675460 2474383147600 2629032094325 3004608107800 3235731808400 4206451350920 5258064188650 6009216215600 8412902701840 10516128377300 21032256754600 42064513509200
- Sum of all divisors σ(n): 132421732555968
- Sum of proper divisors (its aliquot sum) s(n): 90357219046768
- 42064513509200 is an abundant number, because the sum of its proper divisors (90357219046768) is greater than itself. Its abundance is 48292705537568
Bases of 42064513509200
- Binary: 10011001000001111010000110001010100111010100002
- Hexadecimal: 0x2641E862A750
- Base-36: EWS659POW
Squares and roots of 42064513509200
- 42064513509200 squared (420645135092002) is 1769423296765669298484640000
- 42064513509200 cubed (420645135092003) is 74429930170292696872886826368698688000000
-
The
square root of 42064513509200 is 6485716.1138304535 -
The
cube root of 42064513509200 is 34778.0550167837
Scales and comparisons
How big is 42064513509200?- 42,064,513,509,200 seconds is equal to 1,337,521 years, 21 weeks, 4 days, 5 hours, 53 minutes, 20 seconds.
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To count from 1 to 42,064,513,509,200 would take you about three million, three hundred forty-three thousand, eight hundred three 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 42064513509200 cubic inches would be around 2898.2 feet tall.
Recreational maths with 42064513509200
- 42064513509200 backwards is 00290531546024
- The number of decimal digits it has is: 14
- The sum of 42064513509200's digits is 41
- More coming soon!
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