42057388512000
42,057,388,512,000 is an even composite number composed of five prime numbers multiplied together.
42057388512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42057388512000:
28 × 33 × 53 × 312 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 37 × 37 × 37)See below for interesting mathematical facts about the number 42057388512000 from the Numbermatics database.
Names of 42057388512000
- Cardinal: 42057388512000 can be written as Forty-two trillion, fifty-seven billion, three hundred eighty-eight million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2057388512 × 1013
Factors of 42057388512000
Divisors of 42057388512000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 37 40 45 48 50 54 60 62 64 72 74 75 80 90 93 96 100 108 111 120 124 125 128 135 144 148 150 155 160 180 185 186 192 200 216 222 225 240 248 250 256 270 279 288 296 300 310 320 333 360 370 372 375 384 400 432 444 450 465 480 496 500 540 555 558 576 592 600 620 640 666 675 720 740 744 750 768 775 800 837 864 888 900 925 930 960 961 992 999 1000 1080 1110 1116 1125 1147 1152 1184 1200 1240 1280 1332 1350 1369 1395 1440 1480 1488 1500 1550 1600 1665 1674 1728 1776 1800 1850 1860 1920 1922 1984 1998 2000 2160 2220 2232 2250 2294 2304 2325 2368 2400 2480 2664 2700 2738 2775 2790 2880 2883 2960 2976 3000 3100 3200 3330 3348 3375 3441 3456 3552 3600 3700 3720 3840 3844 3875 3968 3996 4000 4107 4185 4320 4440 4464 4500 4588 4625 4650 4736 4800 4805 4960 4995 5328 5400 5476 5550 5580 5735 5760 5766 5920 5952 6000 6200 6400 6660 6696 6750 6845 6882 6912 6975 7104 7200 7400 7440 7688 7750 7936 7992 8000 8214 8325 8370 8640 8649 8880 8928 9000 9176 9250 9300 9472 9600 9610 9920 9990 10323 10656 10800 10952 11100 11160 11470 11520 11532 11625 11840 11904 12000 12321 12400 13320 13392 13500 13690 13764 13875 13950 14208 14400 14415 14800 14880 15376 15500 15984 16000 16428 16650 16740 17205 17280 17298 17760 17856 18000 18352 18500 18600 19200 19220 19840 19980 20535 20646 20925 21312 21600 21904 22200 22320 22940 23064 23250 23680 23808 24000 24025 24642 24800 24975 25947 26640 26784 27000 27380 27528 27750 27900 28416 28675 28800 28830 29600 29760 30752 30969 31000 31968 32000 32856 33300 33480 34225 34410 34560 34596 34875 35520 35557 35712 36000 36704 36963 37000 37200 38440 39680 39960 41070 41292 41625 41850 42439 42624 43200 43245 43808 44400 44640 45880 46128 46500 47360 48000 48050 49284 49600 49950 50653 51615 51894 53280 53568 54000 54760 55056 55500 55800 57350 57600 57660 59200 59520 61504 61605 61938 62000 63936 65712 66600 66960 68450 68820 69192 69750 71040 71114 71424 72000 72075 73408 73926 74000 74400 76880 79920 82140 82584 83250 83700 84878 85248 86025 86400 86490 87616 88800 89280 91760 92256 93000 96000 96100 98568 99200 99900 101306 102675 103230 103788 104625 106560 106671 107136 108000 109520 110112 111000 111600 114700 115320 118400 119040 120125 123008 123210 123876 124000 124875 127317 127872 129735 131424 133200 133920 136900 137640 138384 139500 142080 142228 143375 144000 144150 146816 147852 148000 148800 151959 153760 154845 159840 164280 165168 166500 167400 169756 171125 172050 172800 172980 175232 177600 177785 178560 183520 184512 184815 186000 192200 197136 198400 199800 202612 205350 206460 207576 209250 212195 213120 213342 214272 216000 216225 219040 220224 222000 223200 229400 230640 236800 240250 246016 246420 247752 248000 249750 253265 254634 255744 258075 259470 262848 266400 267840 273800 275280 276768 279000 284456 286750 288000 288300 293632 295704 296000 297600 303918 307520 308025 309690 319680 320013 328560 330336 333000 334800 339512 342250 344100 345960 350464 355200 355570 357120 360375 367040 369024 369630 372000 381951 384400 394272 399600 405224 410700 412920 415152 418500 424390 426240 426684 430125 432000 432450 438080 440448 444000 446400 455877 458800 461280 480500 492840 495504 496000 499500 506530 509268 513375 516150 518940 525696 532800 533355 535680 547600 550560 553536 558000 568912 573500 576600 591408 592000 595200 607836 615040 616050 619380 636585 639360 640026 648675 657120 660672 666000 669600 679024 684500 688200 691920 710400 711140 720750 734080 738048 739260 744000 759795 763902 768800 774225 788544 799200 810448 821400 825840 830304 837000 848780 853368 860250 864000 864900 876160 880896 888000 888925 892800 911754 917600 922560 924075 960039 961000 985680 991008 992000 999000 1013060 1018536 1026750 1032300 1037880 1051392 1060975 1065600 1066710 1071360 1081125 1095200 1101120 1107072 1116000 1137824 1145853 1147000 1153200 1182816 1184000 1215672 1230080 1232100 1238760 1266325 1273170 1278720 1280052 1290375 1297350 1314240 1315609 1321344 1332000 1339200 1358048 1367631 1369000 1376400 1383840 1422280 1441500 1468160 1478520 1488000 1519590 1527804 1537600 1540125 1548450 1570243 1577088 1598400 1600065 1620896 1642800 1651680 1660608 1674000 1697560 1706736 1720500 1729800 1752320 1776000 1777850 1785600 1823508 1835200 1845120 1848150 1909755 1920078 1922000 1971360 1982016 1998000 2026120 2037072 2053500 2064600 2075760 2121950 2131200 2133420 2162250 2190400 2202240 2214144 2232000 2275648 2279385 2291706 2294000 2306400 2365632 2431344 2464200 2477520 2532650 2546340 2560104 2580750 2594700 2628480 2631218 2642688 2664000 2666775 2678400 2716096 2735262 2738000 2752800 2767680 2844560 2883000 2957040 2976000 3039180 3055608 3075200 3080250 3096900 3140486 3154176 3182925 3196800 3200130 3241792 3243375 3285600 3303360 3321216 3348000 3395120 3413472 3441000 3459600 3552000 3555700 3647016 3670400 3690240 3696300 3798975 3819510 3840156 3844000 3871125 3942720 3946827 3964032 3996000 4052240 4074144 4107000 4129200 4151520 4243900 4266840 4324500 4380800 4404480 4444625 4464000 4551296 4558770 4583412 4588000 4612800 4620375 4710729 4731264 4800195 4862688 4928400 4955040 5065300 5092680 5120208 5161500 5189400 5256960 5262436 5304875 5328000 5333550 5356800 5432192 5470524 5476000 5505600 5535360 5689120 5729265 5766000 5914080 6078360 6111216 6150400 6160500 6193800 6280972 6331625 6365850 6393600 6400260 6483584 6486750 6571200 6578045 6606720 6642432 6696000 6790240 6826944 6838155 6882000 6919200 7111400 7294032 7340800 7392600 7597950 7639020 7680312 7688000 7742250 7851215 7885440 7893654 7928064 7992000 8000325 8104480 8148288 8214000 8258400 8303040 8487800 8533680 8649000 8761600 8889250 8928000 9102592 9117540 9166824 9176000 9225600 9240750 9421458 9462528 9548775 9600390 9725376 9856800 9910080 10130600 10185360 10240416 10323000 10378800 10524872 10609750 10656000 10667100 10864384 10941048 10952000 11011200 11070720 11378240 11396925 11458530 11532000 11828160 11840481 12156720 12222432 12321000 12387600 12561944 12663250 12731700 12800520 12967168 12973500 13142400 13156090 13213440 13333875 13392000 13580480 13653888 13676310 13764000 13838400 14132187 14222800 14588064 14785200 15195900 15278040 15360624 15376000 15484500 15702430 15770880 15787308 15914625 15984000 16000650 16208960 16296576 16428000 16516800 16606080 16975600 17067360 17298000 17778500 18235080 18333648 18352000 18451200 18481500 18842916 18994875 19097550 19200780 19450752 19713600 19734135 19820160 20261200 20370720 20480832 20646000 20757600 21049744 21219500 21334200 21882096 21904000 22022400 22756480 22793850 22917060 23064000 23553645 23656320 23680962 24000975 24313440 24444864 24642000 24775200 25123888 25326500 25463400 25601040 25947000 26284800 26312180 26667750 26784000 27160960 27307776 27352620 27528000 27676800 28264374 28445600 28646325 29176128 29570400 30391800 30556080 30721248 30752000 30969000 31404860 31574616 31829250 31968000 32001300 32417920 32593152 32856000 32890225 33033600 33212160 33951200 34134720 34190775 34596000 35521443 35557000 36470160 36667296 36704000 36963000 37685832 37989750 38195100 38401560 38901504 39256075 39427200 39468270 39640320 40001625 40522400 40741440 40961664 41292000 41515200 42099488 42396561 42439000 42668400 43764192 43808000 45512960 45587700 45834120 46128000 47107290 47312640 47361924 47743875 48001950 48626880 48677533 48889728 49284000 49550400 50247776 50653000 50926800 51202080 51894000 52624360 53335500 54321920 54705240 55056000 55353600 56528748 56891200 56984625 57292650 58352256 59140800 59202405 60783600 61112160 61442496 61938000 62809720 63149232 63658500 64002600 64835840 65712000 65780450 66067200 67902400 68269440 68381550 69192000 70660935 71042886 71114000 72940320 73334592 73926000 75371664 75979500 76390200 76803120 78512150 78854400 78936540 80003250 81044800 81482880 81923328 82584000 83030400 84198976 84793122 84878000 85336800 87528384 91175400 91668240 92256000 94214580 94723848 95487750 96003900 97253760 97355066 97779456 98568000 98670675 99100800 100495552 101306000 101853600 102404160 103788000 105248720 106671000 109410480 110112000 113057496 113782400 113969250 114585300 116704512 117768225 118281600 118404810 120004875 121567200 122224320 122884992 123876000 125619440 126298464 127317000 128005200 131424000 131560900 135804800 136538880 136763100 138384000 141321870 142085772 142228000 143231625 145880640 146032599 146669184 147852000 150743328 151959000 152780400 153606240 157024300 157873080 160006500 162089600 162965760 164451125 165168000 166060800 168397952 169586244 169756000 170673600 170953875 175056768 177607215 182350800 183336480 188429160 189447696 190975500 192007800 194507520 194710132 196280375 197136000 197341350 198201600 200991104 202612000 203707200 204808320 207576000 210497440 211982805 213342000 218820960 226114992 227564800 227938500 229170600 235536450 236563200 236809620 240009750 243134400 243387665 244448640 245769984 247752000 251238880 252596928 254634000 256010400 263121800 271609600 273526200 276768000 282643740 284171544 284456000 286463250 291761280 292065198 293338368 295704000 296012025 301486656 303918000 305560800 307212480 314048600 315746160 320013000 324179200 328902250 330336000 336795904 339172488 339512000 341347200 341907750 350113536 353304675 355214430 364701600 366672960 376858320 378895392 381951000 384015600 389420264 392560750 394272000 394682700 401982208 405224000 407414400 409616640 415152000 420994880 423965610 426684000 437641920 438097797 452229984 455877000 458341200 471072900 473619240 480019500 486268800 486775330 488897280 493353375 495504000 502477760 505193856 509268000 512020800 526243600 547052400 565287480 568343088 568912000 572926500 583522560 584130396 588841125 591408000 592024050 602973312 607836000 611121600 614424960 628097200 631492320 640026000 657804500 678344976 679024000 682694400 683815500 706609350 710428860 729403200 730162995 733345920 753716640 757790784 763902000 768031200 778840528 785121500 789365400 810448000 814828800 830304000 841989760 847931220 853368000 875283840 876195594 888036075 904459968 911754000 916682400 942145800 947238480 960039000 972537600 973550660 986706750 991008000 1004955520 1010387712 1018536000 1024041600 1052487200 1059914025 1094104800 1130574960 1136686176 1137824000 1145853000 1168260792 1177682250 1182816000 1184048100 1205946624 1215672000 1216938325 1222243200 1228849920 1256194400 1262984640 1280052000 1314293391 1315609000 1356689952 1358048000 1367631000 1413218700 1420857720 1458806400 1460325990 1466691840 1480060125 1507433280 1515581568 1527804000 1536062400 1557681056 1570243000 1578730800 1620896000 1683979520 1695862440 1706736000 1750567680 1752391188 1766523375 1776072150 1808919936 1823508000 1833364800 1884291600 1894476960 1920078000 1947101320 1973413500 2009911040 2037072000 2048083200 2104974400 2119828050 2188209600 2190488985 2261149920 2273372352 2291706000 2336521584 2355364500 2368096200 2431344000 2433876650 2444486400 2512388800 2525969280 2560104000 2628586782 2631218000 2713379904 2735262000 2826437400 2841715440 2917612800 2920651980 2960120250 3014866560 3031163136 3055608000 3072124800 3115362112 3140486000 3157461600 3391724880 3413472000 3504782376 3533046750 3552144300 3617839872 3647016000 3650814975 3666729600 3768583200 3788953920 3840156000 3894202640 3946827000 4074144000 4209948800 4239656100 4376419200 4380977970 4440180375 4522299840 4546744704 4583412000 4673043168 4710729000 4736192400 4862688000 4867753300 5024777600 5051938560 5120208000 5257173564 5262436000 5299570125 5426759808 5470524000 5652874800 5683430880 5841303960 5920240500 6029733120 6084691625 6111216000 6144249600 6230724224 6280972000 6314923200 6571466955 6783449760 7009564752 7066093500 7104288600 7294032000 7301629950 7333459200 7537166400 7577907840 7680312000 7788405280 7893654000 8419897600 8479312200 8752838400 8761955940 8880360750 9044599680 9093489408 9166824000 9346086336 9421458000 9472384800 9735506600 10049555200 10240416000 10514347128 10524872000 10599140250 10853519616 10941048000 10952444925 11305749600 11366861760 11682607920 11840481000 12169383250 12222432000 12461448448 12561944000 12629846400 13142933910 13566899520 14019129504 14132187000 14208577200 14588064000 14603259900 15074332800 15155815680 15360624000 15576810560 15787308000 16958624400 17523911880 17760721500 18089199360 18254074875 18333648000 18692172672 18842916000 18944769600 19471013200 21028694256 21049744000 21198280500 21882096000 21904889850 22611499200 22733723520 23365215840 23680962000 24338766500 25123888000 25259692800 26285867820 27133799040 28038259008 28264374000 28417154400 29206519800 30148665600 30721248000 31153621120 31574616000 32857334775 33917248800 35047823760 35521443000 36508149750 36667296000 37384345344 37685832000 37889539200 38942026400 42057388512 42099488000 42396561000 43764192000 43809779700 45222998400 45467447040 46730431680 47361924000 48677533000 50247776000 52571735640 54267598080 54762224625 56076518016 56528748000 56834308800 58413039600 62307242240 63149232000 65714669550 67834497600 70095647520 71042886000 73016299500 75371664000 75779078400 77884052800 84114777024 84793122000 87619559400 90445996800 93460863360 94723848000 97355066000 105143471280 109524449250 112153036032 113057496000 113668617600 116826079200 126298464000 131429339100 135668995200 140191295040 142085772000 146032599000 150743328000 155768105600 164286673875 168229554048 169586244000 175239118800 186921726720 189447696000 194710132000 210286942560 219048898500 226114992000 227337235200 233652158400 262858678200 271337990400 280382590080 284171544000 292065198000 311536211200 328573347750 336459108096 339172488000 350478237600 378895392000 389420264000 420573885120 438097797000 452229984000 467304316800 525717356400 560765180160 568343088000 584130396000 657146695500 678344976000 700956475200 778840528000 841147770240 876195594000 934608633600 1051434712800 1136686176000 1168260792000 1314293391000 1356689952000 1401912950400 1557681056000 1682295540480 1752391188000 2102869425600 2336521584000 2628586782000 2803825900800 3504782376000 4205738851200 4673043168000 5257173564000 7009564752000 8411477702400 10514347128000 14019129504000 21028694256000 42057388512000
- Sum of all divisors σ(n): 164838594211200
- Sum of proper divisors (its aliquot sum) s(n): 122781205699200
- 42057388512000 is an abundant number, because the sum of its proper divisors (122781205699200) is greater than itself. Its abundance is 80723817187200
Bases of 42057388512000
- Binary: 10011001000000001111111011001111010011000000002
- Hexadecimal: 0x26403FB3D300
- Base-36: EWOWB8AO0
Squares and roots of 42057388512000
- 42057388512000 squared (420573885120002) is 1768823928449309574144000000
- 42057388512000 cubed (420573885120003) is 74392115168114702457935477833728000000000
-
The
square root of 42057388512000 is 6485166.8067984189 -
The
cube root of 42057388512000 is 34776.0913066323
Scales and comparisons
How big is 42057388512000?- 42,057,388,512,000 seconds is equal to 1,337,294 years, 44 weeks, 6 days.
-
To count from 1 to 42,057,388,512,000 would take you about three million, three hundred forty-three thousand, two hundred thirty-seven 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 42057388512000 cubic inches would be around 2898 feet tall.
Recreational maths with 42057388512000
- 42057388512000 backwards is 00021588375024
- 42057388512000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42057388512000's digits is 45
- More coming soon!
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The information we have on file for 42057388512000 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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