134382139516800
134,382,139,516,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134382139516800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
134382139516800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 134382139516800:
27 × 33 × 52 × 72 × 113 × 257 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 113 × 257 × 1093)See below for interesting mathematical facts about the number 134382139516800 from the Numbermatics database.
Names of 134382139516800
- Cardinal: 134382139516800 can be written as One hundred thirty-four trillion, three hundred eighty-two billion, one hundred thirty-nine million, five hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.343821395168 × 1014
Factors of 134382139516800
Divisors of 134382139516800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 113 120 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 226 240 245 252 257 270 280 288 294 300 315 320 336 339 350 360 378 384 392 400 420 432 441 448 450 452 480 490 504 514 525 540 560 565 576 588 600 630 640 672 675 678 700 720 735 756 771 784 791 800 840 864 882 896 900 904 945 960 980 1008 1017 1028 1050 1080 1093 1120 1130 1152 1176 1200 1225 1260 1285 1323 1344 1350 1356 1400 1440 1470 1512 1542 1568 1575 1582 1600 1680 1695 1728 1764 1799 1800 1808 1890 1920 1960 2016 2034 2056 2100 2160 2186 2205 2240 2260 2313 2352 2373 2400 2450 2520 2570 2646 2688 2700 2712 2800 2825 2880 2940 3024 3051 3084 3136 3150 3164 3200 3279 3360 3390 3456 3528 3598 3600 3616 3675 3780 3855 3920 3955 4032 4068 4112 4200 4320 4372 4410 4480 4520 4626 4704 4725 4746 4800 4900 5040 5085 5140 5292 5397 5400 5424 5465 5537 5600 5650 5760 5880 6048 6102 6168 6272 6300 6328 6425 6558 6615 6720 6780 6939 7056 7119 7196 7200 7232 7350 7560 7651 7710 7840 7910 8064 8136 8224 8400 8475 8640 8744 8820 8995 9040 9252 9408 9450 9492 9600 9800 9837 10080 10170 10280 10584 10794 10800 10848 10930 11025 11074 11200 11300 11565 11760 11865 12096 12204 12336 12593 12600 12656 12850 13116 13230 13440 13560 13878 14112 14238 14392 14400 14464 14700 15120 15255 15302 15420 15680 15820 16191 16272 16395 16448 16611 16800 16950 17280 17488 17640 17990 18080 18504 18816 18900 18984 19275 19600 19674 19775 20160 20340 20560 21168 21357 21588 21600 21696 21860 22050 22148 22400 22600 22953 23130 23520 23730 24192 24408 24672 25186 25200 25312 25425 25700 26232 26460 26985 27120 27325 27685 27756 28224 28476 28784 28800 29041 29400 29511 30240 30510 30604 30840 31360 31640 32382 32544 32790 32896 33075 33222 33600 33900 34695 34976 35280 35595 35980 36160 37008 37779 37800 37968 38255 38550 39200 39348 39550 40320 40680 41120 42336 42714 43176 43200 43392 43720 44100 44296 44975 45200 45906 46260 47040 47460 48573 48816 49185 49344 49833 50372 50400 50624 50850 51400 52464 52920 53557 53970 54240 54650 55370 55512 56448 56952 57568 57825 58082 58800 59022 59325 60480 61020 61208 61680 62965 63280 64764 65088 65580 66150 66444 67200 67800 68859 69390 69952 70560 71190 71960 72320 74016 75558 75600 75936 76275 76510 77100 78400 78696 79100 80955 81360 81975 82240 83055 84672 85428 86352 86400 87123 87440 88200 88592 89950 90400 91812 92520 94080 94920 97146 97632 98370 98688 99666 100744 100800 101248 101700 102800 104928 105840 106785 107114 107940 108480 109300 110740 111024 113337 113904 114765 115136 115650 116164 117600 118044 118650 120960 122040 122416 123360 123509 125930 126560 129528 130176 131160 132300 132888 134925 135600 137718 138425 138780 139904 141120 142380 143920 145205 147555 148032 149499 151116 151200 151872 152550 153020 154200 156800 157392 158200 160671 161910 162720 163950 164480 166110 169344 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4085060175 4098265920 4129244700 4149902400 4247223120 4285144755 4357397520 4390999200 4404527680 4443853820 4553628800 4570821072 4627324800 4666046511 4668640200 4719136800 4761271950 4841552800 4853969280 4917919104 4955093640 4979882880 5078690080 5122832400 5228877024 5285433216 5309028900 5332624584 5335588800 5446746900 5505659600 5554817275 5662964160 5713526340 5809863360 5854665600 5946112368 5999202657 6067461600 6094428096 6147398880 6193867050 6221395348 6224853600 6292182400 6348362600 6536096280 6606791520 6665780730 6795556992 6830443200 6856231608 6971836032 7078705200 7110166112 7141907925 7262329200 7432640460 7469824320 7618035120 7684248600 7776744185 7928149824 7998936876 8089948800 8170120350 8196531840 8258489400 8299804800 8494446240 8570289510 8714795040 8781998400 8809055360 8887707640 9141642144 9290800575 9332093022 9337280400 9438273600 9522543900 9683105600 9910187280 9998671095 10157380160 10245664800 10457754048 10618057800 10665249168 10671177600 10893493800 11011319200 11109634550 11325928320 11427052680 11619726720 11892224736 11998405314 12134923200 12188856192 12294797760 12387734100 12442790696 12449707200 12696725200 13072192560 13213583040 13331561460 13660886400 13712463216 13998139533 14157410400 14220332224 14283815850 14524658400 14865280920 14939648640 15236070240 15368497200 15553488370 15856299648 15997873752 16340240700 16516978800 16664451825 16988892480 17140579020 17429590080 17563996800 17775415280 18283284288 18581601150 18664186044 18674560800 18876547200 19045087800 19366211200 19820374560 19997342190 20314760320 20491329600 20915508096 21236115600 21330498336 21425723775 21786987600 22022638400 22219269100 22854105360 23330232555 23784449472 23996810628 24269846400 24589595520 24775468200 24885581392 24899414400 25393450400 26144385120 26427166080 26663122920 27424926432 27996279066 28314820800 28440664448 28567631700 29049316800 29730561840 29996013285 30472140480 30736994400 31106976740 31995747504 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132135830400 133315614600 137124632160 139981395330 142203322240 148652809200 149313488352 149980066425 152360702400 155534883700 159978737520 167977674396 169888924800 171405790200 174295900800 177754152800 182832842880 186641860440 191974485024 198203745600 199084651136 199973421900 209972092995 213304983360 223970232528 228541053600 233302325550 237844494720 239968106280 248855813920 255965980032 261443851200 266631229200 274249264320 279962790660 297305618400 298626976704 299960132850 304721404800 311069767400 319957475040 335955348792 342811580400 349953488325 355508305600 373283720880 383948970048 396407491200 399946843800 419944185990 426609966720 447940465056 457082107200 466604651100 479936212560 497711627840 522887702400 533262458400 548498528640 559925581320 594611236800 597253953408 599920265700 622139534800 639914950080 671910697584 685623160800 699906976650 711016611200 746567441760 767897940096 799893687600 839888371980 895880930112 914164214400 933209302200 959872425120 995423255680 1049860464975 1066524916800 1119851162640 1189222473600 1199840531400 1244279069600 1279829900160 1343821395168 1371246321600 1399813953300 1493134883520 1599787375200 1679776743960 1791761860224 1866418604400 1919744850240 2099720929950 2133049833600 2239702325280 2399681062800 2488558139200 2687642790336 2742492643200 2799627906600 2986269767040 3199574750400 3359553487920 3732837208800 3839489700480 4199441859900 4479404650560 4799362125600 4977116278400 5375285580672 5599255813200 6399149500800 6719106975840 7465674417600 8398883719800 8958809301120 9598724251200 11198511626400 13438213951680 14931348835200 16797767439600 19197448502400 22397023252800 26876427903360 33595534879200 44794046505600 67191069758400 134382139516800
- Sum of all divisors σ(n): 579934039435200
- Sum of proper divisors (its aliquot sum) s(n): 445551899918400
- 134382139516800 is an abundant number, because the sum of its proper divisors (445551899918400) is greater than itself. Its abundance is 311169760401600
Bases of 134382139516800
- Binary: 111101000111000010001111011000010100111100000002
- Hexadecimal: 0x7A3847B0A780
- Base-36: 1BMUAW82O0
Squares and roots of 134382139516800
- 134382139516800 squared (1343821395168002) is 18058559421112700137482240000
- 134382139516800 cubed (1343821395168003) is 2426747851600389913371500916762181632000000
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The
square root of 134382139516800 is 11592331.0648376499 -
The
cube root of 134382139516800 is 51220.8974749081
Scales and comparisons
How big is 134382139516800?- 134,382,139,516,800 seconds is equal to 4,272,936 years, 19 weeks.
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To count from 1 to 134,382,139,516,800 would take you about ten million, six hundred eighty-two thousand, three hundred forty 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 134382139516800 cubic inches would be around 4268.4 feet tall.
Recreational maths with 134382139516800
- 134382139516800 backwards is 008615931283431
- 134382139516800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134382139516800's digits is 54
- More coming soon!
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The information we have on file for 134382139516800 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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