42705053728000
42,705,053,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42705053728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
42705053728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42705053728000:
28 × 53 × 173 × 612 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 17 × 61 × 61 × 73)See below for interesting mathematical facts about the number 42705053728000 from the Numbermatics database.
Names of 42705053728000
- Cardinal: 42705053728000 can be written as Forty-two trillion, seven hundred five billion, fifty-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2705053728 × 1013
Factors of 42705053728000
Divisors of 42705053728000
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 64 68 73 80 85 100 122 125 128 136 146 160 170 200 244 250 256 272 289 292 305 320 340 365 400 425 488 500 544 578 584 610 640 680 730 800 850 976 1000 1037 1088 1156 1168 1220 1241 1280 1360 1445 1460 1525 1600 1700 1825 1952 2000 2074 2125 2176 2312 2336 2440 2482 2720 2890 2920 3050 3200 3400 3650 3721 3904 4000 4148 4250 4352 4453 4624 4672 4880 4913 4964 5185 5440 5780 5840 6100 6205 6400 6800 7225 7300 7442 7625 7808 8000 8296 8500 8906 9125 9248 9344 9760 9826 9928 10370 10880 11560 11680 12200 12410 13600 14450 14600 14884 15250 15616 16000 16592 17000 17629 17812 18250 18496 18605 18688 19520 19652 19856 20740 21097 21760 22265 23120 23360 24400 24565 24820 25925 27200 28900 29200 29768 30500 31025 32000 33184 34000 35258 35624 36125 36500 36992 37210 39040 39304 39712 41480 42194 44530 46240 46720 48800 49130 49640 51850 54400 57800 58400 59536 61000 62050 63257 66368 68000 70516 71248 72250 73000 73984 74420 75701 78080 78608 79424 82960 84388 88145 89060 92480 93025 93440 97600 98260 99280 103700 105485 108800 111325 115600 116800 119072 122000 122825 124100 126514 129625 132736 136000 141032 142496 144500 146000 148840 151402 155125 157216 158848 165920 168776 176290 178120 184960 186050 195200 196520 198560 207400 210970 222650 231200 233600 238144 244000 245650 248200 253028 259250 265472 271633 272000 282064 284992 289000 292000 297680 299693 302804 310250 314432 316285 317696 331840 337552 352580 356240 358649 369920 372100 378505 390400 393040 397120 414800 421940 440725 445300 462400 465125 467200 476288 488000 491300 496400 506056 518500 527425 543266 544000 556625 564128 569984 578000 584000 595360 599386 605608 614125 620500 628864 632570 663680 675104 705160 712480 717298 744200 757010 786080 794240 829600 843880 881450 890600 924800 930250 952576 976000 982600 992800 1012112 1037000 1054850 1075369 1086532 1113250 1128256 1139968 1156000 1168000 1190720 1198772 1211216 1228250 1241000 1257728 1265140 1286917 1327360 1350208 1358165 1410320 1424960 1434596 1488400 1498465 1514020 1572160 1581425 1588480 1659200 1687760 1762900 1781200 1793245 1849600 1860500 1892525 1952000 1965200 1985600 2024224 2074000 2109700 2150738 2173064 2203625 2226500 2256512 2312000 2336000 2381440 2397544 2422432 2456500 2482000 2530280 2573834 2637125 2700416 2716330 2820640 2849920 2869192 2976800 2996930 3028040 3144320 3162850 3318400 3375520 3525800 3562400 3586490 3721000 3785050 3930400 3971200 4048448 4148000 4219400 4301476 4346128 4407250 4453000 4513024 4617761 4624000 4762880 4795088 4844864 4913000 4964000 5060560 5147668 5274250 5376845 5400832 5432660 5641280 5699840 5738384 5953600 5993860 6056080 6288640 6325700 6434585 6636800 6751040 6790825 7051600 7124800 7172980 7442000 7492325 7570100 7860800 7907125 7942400 8096896 8296000 8438800 8602952 8692256 8814500 8906000 8966225 9235522 9248000 9462625 9590176 9689728 9826000 9928000 10121120 10295336 10548500 10753690 10865320 11282560 11476768 11907200 11987720 12112160 12651400 12869170 13502080 13581650 14103200 14249600 14345960 14884000 14984650 15140200 15721600 15814250 16193792 16592000 16877600 17205904 17384512 17629000 17812000 17932450 18281273 18471044 18925250 19180352 19379456 19652000 19856000 20242240 20590672 21097000 21507380 21730640 21877589 22565120 22953536 23088805 23814400 23975440 24224320 25302800 25738340 26884225 27004160 27163300 28206400 28499200 28691920 29768000 29969300 30280400 31443200 31628500 32172925 33184000 33755200 33954125 34411808 34769024 35258000 35624000 35864900 36562546 36942088 37461625 37850500 38360704 39304000 39712000 40484480 41181344 42194000 43014760 43461280 43755178 44831125 45907072 46177610 47950880 48448640 50605600 51476680 53768450 54326600 56412800 57383840 59536000 59938600 60560800 63257000 64345850 67510400 67908250 68823616 69538048 70516000 71248000 71729800 73125092 73884176 74923250 75701000 76721408 78501937 78608000 80968960 82362688 84388000 86029520 86922560 87510356 89662250 91406365 91814144 92355220 95901760 96897280 101211200 102953360 107536900 108653200 109387945 112825600 114767680 115444025 119072000 119877200 121121600 126514000 128691700 134421125 135020800 135816500 137647232 141032000 142496000 143459600 146250184 147768352 149846500 151402000 157003874 157216000 160864625 164725376 168776000 172059040 173845120 175020712 179324500 182812730 184710440 191803520 202422400 205906720 215073800 217306400 218775890 229535360 230888050 239754400 242243200 253028000 257383400 268842250 271633000 275294464 282064000 286919200 292500368 295536704 299693000 302804000 314007748 321729250 329450752 337552000 344118080 347690240 350041424 358649000 365625460 369420880 383607040 392509685 404844800 411813440 430147600 434612800 437551780 457031825 459070720 461776100 479508800 484486400 506056000 514766800 537684500 543266000 546939725 564128000 573838400 577220125 585000736 591073408 599386000 605608000 628015496 643458500 675104000 688236160 700082848 717298000 731250920 738841760 785019370 823626880 860295200 869225600 875103560 914063650 923552200 959017600 1012112000 1029533600 1075369000 1086532000 1093879450 1147676800 1154440250 1170001472 1182146816 1198772000 1211216000 1256030992 1286917000 1334532929 1376472320 1400165696 1434596000 1462501840 1477683520 1570038740 1647253760 1720590400 1738451200 1750207120 1828127300 1847104400 1918035200 1962548425 2024224000 2059067200 2150738000 2173064000 2187758900 2285159125 2295353600 2308880500 2340002944 2397544000 2422432000 2512061984 2573834000 2669065858 2734698625 2800331392 2869192000 2925003680 2955367040 3140077480 3441180800 3500414240 3656254600 3694208800 3925096850 4118134400 4301476000 4346128000 4375517800 4570318250 4617761000 4680005888 4795088000 5024123968 5147668000 5338131716 5469397250 5600662784 5738384000 5850007360 5910734080 6280154960 6672664645 6882361600 7000828480 7312509200 7388417600 7850193700 8236268800 8602952000 8692256000 8751035600 9140636500 9235522000 9590176000 9812742125 10048247936 10295336000 10676263432 10938794500 11476768000 11700014720 12560309920 13345329290 14001656960 14625018400 14776835200 15700387400 17205904000 17502071200 18281273000 18471044000 19625484250 20096495872 20590672000 21352526864 21877589000 23400029440 25120619840 26690658580 28003313920 29250036800 29553670400 31400774800 33363323225 34411808000 35004142400 36562546000 36942088000 39250968500 41181344000 42705053728 43755178000 50241239680 53381317160 58500073600 62801549600 66726646450 70008284800 73125092000 73884176000 78501937000 85410107456 87510356000 100482479360 106762634320 117000147200 125603099200 133453292900 140016569600 146250184000 147768352000 157003874000 166816616125 170820214912 175020712000 213525268640 251206198400 266906585800 292500368000 314007748000 333633232250 341640429824 350041424000 427050537280 502412396800 533813171600 585000736000 628015496000 667266464500 700082848000 854101074560 1067626343200 1256030992000 1334532929000 1708202149120 2135252686400 2512061984000 2669065858000 4270505372800 5338131716000 8541010745600 10676263432000 21352526864000 42705053728000
- Sum of all divisors σ(n): 116488770783840
- Sum of proper divisors (its aliquot sum) s(n): 73783717055840
- 42705053728000 is an abundant number, because the sum of its proper divisors (73783717055840) is greater than itself. Its abundance is 31078663327840
Bases of 42705053728000
- Binary: 10011011010111000010111000111010111101000000002
- Hexadecimal: 0x26D70B8EBD00
- Base-36: F4YFIDLOG
Squares and roots of 42705053728000
- 42705053728000 squared (427050537280002) is 1823721613911366697984000000
- 42705053728000 cubed (427050537280003) is 77882129506999787067316669284352000000000
-
The
square root of 42705053728000 is 6534910.3840833197 -
The
cube root of 42705053728000 is 34953.6948816509
Scales and comparisons
How big is 42705053728000?- 42,705,053,728,000 seconds is equal to 1,357,888 years, 31 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,705,053,728,000 would take you about three million, three hundred ninety-four thousand, seven hundred twenty-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 42705053728000 cubic inches would be around 2912.8 feet tall.
Recreational maths with 42705053728000
- 42705053728000 backwards is 00082735050724
- The number of decimal digits it has is: 14
- The sum of 42705053728000's digits is 43
- More coming soon!
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The information we have on file for 42705053728000 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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