42728446512000
42,728,446,512,000 is an even composite number composed of seven prime numbers multiplied together.
42728446512000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42728446512000:
27 × 33 × 53 × 23 × 41 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 41 × 53 × 1979)See below for interesting mathematical facts about the number 42728446512000 from the Numbermatics database.
Names of 42728446512000
- Cardinal: 42728446512000 can be written as Forty-two trillion, seven hundred twenty-eight billion, four hundred forty-six million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2728446512 × 1013
Factors of 42728446512000
Divisors of 42728446512000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 41 45 46 48 50 53 54 60 64 69 72 75 80 82 90 92 96 100 106 108 115 120 123 125 128 135 138 144 150 159 160 164 180 184 192 200 205 207 212 216 225 230 240 246 250 265 270 276 288 300 318 320 328 345 360 368 369 375 384 400 410 414 424 432 450 460 477 480 492 500 530 540 552 575 576 600 615 621 636 640 656 675 690 720 736 738 750 795 800 820 828 848 864 900 920 943 954 960 984 1000 1025 1035 1060 1080 1104 1107 1125 1150 1152 1200 1219 1230 1242 1272 1312 1325 1350 1380 1431 1440 1472 1476 1500 1590 1600 1640 1656 1696 1725 1728 1800 1840 1845 1886 1908 1920 1968 1979 2000 2050 2070 2120 2160 2173 2208 2214 2250 2300 2385 2400 2438 2460 2484 2544 2624 2650 2700 2760 2829 2862 2875 2880 2944 2952 3000 3075 3105 3180 3200 3280 3312 3375 3392 3450 3456 3600 3657 3680 3690 3772 3816 3936 3958 3975 4000 4100 4140 4240 4320 4346 4416 4428 4500 4600 4715 4770 4800 4876 4920 4968 5088 5125 5175 5248 5300 5400 5520 5535 5658 5724 5750 5760 5904 5937 6000 6095 6150 6210 6360 6519 6560 6624 6625 6750 6784 6900 7155 7200 7314 7360 7380 7544 7632 7872 7916 7950 8000 8200 8280 8480 8487 8625 8640 8692 8832 8856 9000 9200 9225 9430 9540 9600 9752 9840 9895 9936 10176 10250 10350 10600 10800 10865 10971 11040 11070 11316 11448 11500 11808 11874 11925 12000 12190 12300 12420 12720 13038 13120 13248 13250 13500 13800 14145 14310 14400 14628 14720 14760 15088 15264 15375 15525 15744 15832 15900 16000 16400 16560 16960 16974 17250 17280 17384 17712 17811 18000 18285 18400 18450 18860 19080 19504 19557 19680 19790 19872 19875 20352 20500 20700 21200 21600 21730 21942 22080 22140 22632 22896 23000 23575 23616 23748 23850 24000 24380 24600 24840 25440 25461 25875 26076 26240 26496 26500 27000 27600 27675 28290 28620 28800 29256 29520 29685 30176 30475 30528 30750 31050 31664 31800 32595 32800 32913 33120 33920 33948 34500 34768 35424 35622 35775 36000 36570 36800 36900 37720 38160 39008 39114 39360 39580 39744 39750 41000 41400 42400 42435 43200 43460 43884 44160 44280 45264 45517 45792 46000 46125 47150 47232 47496 47700 48000 48760 49200 49475 49680 49979 50880 50922 51750 52152 53000 53433 54000 54325 54855 55200 55350 56580 57240 58512 58671 59040 59370 59625 60352 60950 61056 61500 62100 63328 63600 65190 65600 65826 66240 67896 69000 69536 70725 70848 71244 71550 72000 73140 73600 73800 75440 76320 77625 78016 78228 78720 79160 79488 79500 81139 82000 82800 84800 84870 86400 86920 87768 88560 89055 90528 91034 91425 91584 92000 92250 94300 94992 95400 97520 97785 98400 98950 99360 99958 101760 101844 103500 104304 104887 106000 106866 108000 108650 109710 110400 110700 113160 114480 117024 117342 117875 118080 118740 119250 120704 121900 123000 124200 126656 127200 127305 130380 131200 131652 132480 135792 136551 138000 138375 139072 141450 141696 142488 143100 144000 146280 147600 148425 149937 150880 152375 152640 155250 156032 156456 158320 159000 162278 162975 164000 164565 165600 169600 169740 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839096000 839788650 854928000 860073400 863637120 868464360 876301200 890175969 895774560 899622000 904650375 906223680 926361984 928879272 933098500 938736000 943983000 964960400 967582575 973668000 983167200 989084410 1006915200 1007746380 1032088080 1042157232 1074929472 1075091750 1079546400 1085580450 1092408000 1095376500 1119718200 1132779600 1157952480 1161099090 1168401600 1186901292 1194366080 1199496000 1206200500 1228959000 1238505696 1258644000 1259682975 1290110100 1298224000 1302696540 1310889600 1343661840 1349433000 1376117440 1389542976 1399647750 1402081920 1415974500 1439395200 1447440600 1460502000 1483626615 1492957600 1510372800 1543936640 1548132120 1582535056 1612394208 1612637625 1628370675 1638612000 1651340928 1678192000 1679577300 1720146800 1736928720 1752602400 1780351938 1791549120 1799244000 1809300750 1812447360 1857758544 1866197000 1887966000 1929920800 1935165150 1947336000 1966334400 1978168820 2015492760 2064176160 2084314464 2099471625 2149858944 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21364223256 21590928000 21711609000 22254399225 22394364000 22655592000 23159049600 23221981800 23738025840 24727110250 24770113920 25193659500 25802202000 26053930800 26705279070 26873236800 28485631008 28948812000 29027477250 29672532300 29859152000 30962642400 31650701120 32247884160 32567413500 33591546000 34402936000 34738574400 35052048000 35607038760 37090665375 37155170880 37980841344 38598416000 38703303000 39563376400 40309855200 41283523200 41686289280 42728446512 43423218000 44508798450 44788728000 45311184000 46443963600 47476051680 49454220500 50387319000 51604404000 52107861600 53410558140 53746473600 56971262016 57897624000 58054954500 59345064600 61925284800 63301402240 65134827000 66763197675 67183092000 68805872000 69477148800 71214077520 74181330750 74310341760 77406606000 79126752800 80619710400 85456893024 86846436000 89017596900 89577456000 92887927200 94952103360 98908441000 100774638000 103208808000 104215723200 106821116280 111271996125 113942524032 115795248000 116109909000 118690129200 123850569600 130269654000 133526395350 134366184000 142428155040 148362661500 154813212000 158253505600 161239420800 170913786048 173692872000 178035193800 185775854400 189904206720 197816882000 201549276000 206417616000 208431446400 213642232560 222543992250 232219818000 237380258400 260539308000 267052790700 268732368000 284856310080 296725323000 309626424000 316507011200 333815988375 341827572096 347385744000 356070387600 371551708800 395633764000 403098552000 427284465120 445087984500 464439636000 474760516800 521078616000 534105581400 569712620160 593450646000 619252848000 667631976750 712140775200 791267528000 806197104000 854568930240 890175969000 928879272000 949521033600 1042157232000 1068211162800 1186901292000 1335263953500 1424281550400 1582535056000 1709137860480 1780351938000 1857758544000 2136422325600 2373802584000 2670527907000 2848563100800 3560703876000 4272844651200 4747605168000 5341055814000 7121407752000 8545689302400 10682111628000 14242815504000 21364223256000 42728446512000
- Sum of all divisors σ(n): 171492152832000
- Sum of proper divisors (its aliquot sum) s(n): 128763706320000
- 42728446512000 is an abundant number, because the sum of its proper divisors (128763706320000) is greater than itself. Its abundance is 86035259808000
Bases of 42728446512000
- Binary: 10011011011100011111011110000001001011100000002
- Hexadecimal: 0x26DC7DE04B80
- Base-36: F596DU5C0
Squares and roots of 42728446512000
- 42728446512000 squared (427284465120002) is 1825720141328844966144000000
- 42728446512000 cubed (427284465120003) is 78010185404650632738624354889728000000000
-
The
square root of 42728446512000 is 6536699.9710863279 -
The
cube root of 42728446512000 is 34960.0759763895
Scales and comparisons
How big is 42728446512000?- 42,728,446,512,000 seconds is equal to 1,358,632 years, 22 weeks, 3 days.
-
To count from 1 to 42,728,446,512,000 would take you about three million, three hundred ninety-six thousand, five hundred eighty-one 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 42728446512000 cubic inches would be around 2913.3 feet tall.
Recreational maths with 42728446512000
- 42728446512000 backwards is 00021564482724
- 42728446512000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42728446512000's digits is 45
- More coming soon!
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"Number 42728446512000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42728446512000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42728446512000/
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The information we have on file for 42728446512000 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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