428142175552000
428,142,175,552,000 is an even composite number composed of seven prime numbers multiplied together.
428142175552000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 428142175552000:
29 × 53 × 7 × 13 × 17 × 449 × 9631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 17 × 449 × 9631)See below for interesting mathematical facts about the number 428142175552000 from the Numbermatics database.
Names of 428142175552000
- Cardinal: 428142175552000 can be written as Four hundred twenty-eight trillion, one hundred forty-two billion, one hundred seventy-five million, five hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.28142175552 × 1014
Factors of 428142175552000
Divisors of 428142175552000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 64 65 68 70 80 85 91 100 104 112 119 125 128 130 136 140 160 170 175 182 200 208 221 224 238 250 256 260 272 280 320 325 340 350 364 400 416 425 442 448 449 455 476 500 512 520 544 560 595 640 650 680 700 728 800 832 850 875 884 896 898 910 952 1000 1040 1088 1105 1120 1190 1280 1300 1360 1400 1456 1547 1600 1625 1664 1700 1750 1768 1792 1796 1820 1904 2000 2080 2125 2176 2210 2240 2245 2275 2380 2560 2600 2720 2800 2912 2975 3094 3143 3200 3250 3328 3400 3500 3536 3584 3592 3640 3808 4000 4160 4250 4352 4420 4480 4490 4550 4760 5200 5440 5525 5600 5824 5837 5950 6188 6286 6400 6500 6656 6800 7000 7072 7184 7280 7616 7633 7735 8000 8320 8500 8704 8840 8960 8980 9100 9520 9631 10400 10880 11050 11200 11225 11375 11648 11674 11900 12376 12572 12800 13000 13600 14000 14144 14368 14560 14875 15232 15266 15470 15715 16000 16640 17000 17680 17920 17960 18200 19040 19262 20800 21760 22100 22400 22450 22750 23296 23348 23800 24752 25144 26000 27200 27625 28000 28288 28736 29120 29185 29750 30464 30532 30940 31430 32000 33280 34000 35360 35920 36400 38080 38165 38524 38675 40859 41600 43520 44200 44800 44900 45500 46592 46696 47600 48155 49504 50288 52000 53431 54400 55250 56000 56125 56576 57472 58240 58370 59500 60928 61064 61880 62860 64000 67417 68000 70720 71840 72800 76160 76330 77048 77350 78575 81718 83200 88400 89600 89800 91000 93392 95200 96310 99008 99229 100576 104000 106862 108800 110500 112000 112250 113152 114944 116480 116740 119000 122128 123760 125203 125720 134834 136000 141440 143680 145600 145925 152320 152660 154096 154700 157150 163436 163727 166400 176800 179600 182000 186784 190400 190825 192620 193375 198016 198458 201152 204295 208000 213724 217600 221000 224000 224500 229888 232960 233480 238000 240775 244256 247520 250406 251440 267155 269668 272000 282880 287360 291200 291850 304640 305320 308192 309400 314300 326872 327454 337085 353600 359200 364000 373568 380800 381650 385240 386750 392875 396032 396916 402304 408590 416000 427448 442000 448000 449000 466960 476000 481550 488512 495040 496145 500812 502880 534310 539336 544000 565760 574720 582400 583700 610640 616384 618800 626015 628600 653744 654908 674170 694603 707200 718400 728000 729625 747136 761600 763300 770480 773500 785750 792064 793832 804608 817180 818635 832000 854896 876421 884000 898000 933920 952000 954125 963100 977024 990080 992290 1001624 1005760 1021475 1068620 1078672 1088000 1146089 1149440 1164800 1167400 1203875 1221280 1232768 1237600 1252030 1257200 1307488 1309816 1335775 1348340 1389206 1414400 1436800 1456000 1459250 1494272 1523200 1526600 1540960 1547000 1571500 1587664 1609216 1634360 1637270 1685425 1709792 1752842 1768000 1796000 1867840 1904000 1908250 1926200 1954048 1980160 1984580 2003248 2011520 2042950 2128451 2137240 2157344 2292178 2334800 2407750 2442560 2465536 2475200 2480725 2504060 2514400 2614976 2619632 2671550 2696680 2778412 2828800 2873600 2912000 2918500 2988544 3053200 3081920 3094000 3130075 3143000 3175328 3268720 3274540 3370850 3419584 3473015 3505684 3536000 3592000 3735680 3808000 3816500 3852400 3908096 3960320 3969160 4006496 4023040 4085900 4093175 4256902 4274480 4314688 4324319 4382105 4584356 4669600 4815500 4885120 4931072 4950400 4961450 5008120 5028800 5107375 5229952 5239264 5343100 5393360 5556824 5730445 5747200 5824000 5837000 6106400 6163840 6188000 6260150 6286000 6350656 6537440 6549080 6678875 6741700 6839168 6946030 7011368 7072000 7184000 7471360 7616000 7633000 7704800 7938320 8012992 8046080 8171800 8186350 8427125 8513804 8548960 8629376 8648638 8764210 9168712 9339200 9631000 9770240 9900800 9922900 10016240 10057600 10214750 10459904 10478528 10642255 10686200 10786720 11113648 11460890 11674000 12212800 12327680 12376000 12403625 12520300 12572000 12701312 13074880 13098160 13357750 13483400 13678336 13892060 14022736 14144000 14368000 14899157 14942720 15266000 15409600 15650375 15876640 16025984 16343600 16372700 16854250 17027608 17097920 17258752 17297276 17365075 17528420 18337424 18678400 19262000 19540480 19801600 19845800 20032480 20115200 20429500 20465875 20919808 20957056 21284510 21372400 21573440 21621595 21910525 22227296 22921780 23348000 24425600 24655360 24752000 24807250 25040600 25144000 25402624 26149760 26196320 26715500 26966800 27356672 27784120 28045472 28652225 28736000 29798314 30270233 30532000 30819200 31300750 31753280 32051968 32687200 32745400 33708500 34055216 34195840 34517504 34594552 34730150 35056840 36674848 37356800 38524000 39691600 40064960 40230400 40859000 40931750 41914112 42569020 42744800 43146880 43243190 43821050 44454592 45843560 46696000 48851200 49504000 49614500 50081200 50288000 50805248 52299520 52392640 53211275 53431000 53933600 55568240 56090944 56216147 57304450 59596628 60540466 61064000 61638400 62601500 63506560 64103936 65374400 65490800 67417000 68110432 68391680 69189104 69460300 70113680 73349696 73513423 74495785 74713600 77048000 79383200 80129920 81718000 81863500 83828224 85138040 85489600 86293760 86486380 86825375 87642100 88909184 91687120 93392000 97702400 99008000 99229000 100162400 100576000 104599040 104785280 106422550 106862000 107867200 108107975 109552625 111136480 112181888 112432294 114608900 119193256 121080932 122128000 123276800 125203000 127013120 130748800 130981600 134834000 136220864 136783360 138378208 138920600 140227360 143261125 146699392 147026846 148991570 151351165 154096000 158766400 160259840 163436000 163727000 170276080 170979200 172587520 172972760 173650750 175284200 177818368 183374240 186784000 198458000 200324800 201152000 209570560 212845100 213724000 215734400 216215950 219105250 222272960 224363776 224864588 229217800 238386512 242161864 244256000 250406000 254026240 261497600 261963200 266056375 269668000 272441728 276756416 277841200 280454720 281080735 286522250 293398784 294053692 297983140 302702330 308192000 317532800 320519680 326872000 327454000 340552160 341958400 345945520 347301500 350568400 355636736 366748480 367567115 372478925 373568000 393513029 396916000 400649600 419141120 425690200 427448000 431468800 432431900 438210500 444545920 448727552 449729176 458435600 476773024 484323728 488512000 500812000 514593961 522995200 523926400 532112750 539336000 540539875 544883456 553512832 555682400 560909440 562161470 573044500 586797568 588107384 595966280 605404660 616384000 635065600 653744000 654908000 681104320 683916800 691891040 694603000 701136800 733496960 735134230 744957850 756755825 787026058 793832000 801299200 851380400 854896000 862937600 864863800 876421000 889091840 899458352 916871200 953546048 955674499 968647456 1001624000 1029187922 1047852800 1064225500 1078672000 1081079750 1089766912 1107025664 1111364800 1121818880 1124322940 1146089000 1176214768 1191932560 1210809320 1270131200 1307488000 1309816000 1362208640 1383782080 1389206000 1402273600 1405403675 1466993920 1470268460 1489915700 1513511650 1574052116 1587664000 1602598400 1702760800 1709792000 1729727600 1752842000 1778183680 1798916704 1833742400 1837835575 1862394625 1907092096 1911348998 1937294912 1967565145 2003248000 2058375844 2095705600 2128451000 2157344000 2162159500 2214051328 2222729600 2243637760 2248645880 2292178000 2352429536 2383865120 2421618640 2572969805 2614976000 2619632000 2724417280 2767564160 2778412000 2804547200 2810807350 2933987840 2940536920 2979831400 3027023300 3148104232 3175328000 3405521600 3419584000 3459455200 3505684000 3597833408 3667484800 3675671150 3724789250 3783779125 3814184192 3822697996 3874589824 3935130290 4006496000 4116751688 4256902000 4314688000 4324319000 4445459200 4497291760 4584356000 4704859072 4767730240 4778372495 4843237280 5145939610 5239264000 5448834560 5535128320 5556824000 5609094400 5621614700 5881073840 5959662800 6054046600 6296208464 6350656000 6689721493 6811043200 6918910400 7011368000 7027018375 7195666816 7334969600 7351342300 7449578500 7567558250 7628368384 7645395992 7749179648 7870260580 8012992000 8233503376 8513804000 8648638000 8890918400 8994583520 9168712000 9189177875 9409718144 9535460480 9556744990 9686474560 9837825725 10291879220 10478528000 11070256640 11113648000 11218188800 11243229400 11762147680 11919325600 12108093200 12592416928 12864849025 13379442986 13622086400 13837820800 14022736000 14054036750 14391333632 14669939200 14702684600 14899157000 15135116500 15290791984 15498359296 15740521160 16467006752 17027608000 17297276000 17989167040 18337424000 18378355750 18819436288 19070920960 19113489980 19372949120 19675651450 20583758440 22227296000 22486458800 23524295360 23838651200 23891862475 24216186400 25184833856 25729698050 26758885972 27244172800 27675641600 28045472000 28108073500 28782667264 29405369200 29798314000 30270233000 30581583968 31481042320 32934013504 33448607465 34055216000 34594552000 35978334080 36674848000 36756711500 37638872576 38141841920 38226979960 38745898240 39351302900 41167516880 44454592000 44972917600 47048590720 47677302400 47783724950 48432372800 49189128625 50369667712 51459396100 53517771944 55351283200 56090944000 56216147000 58810738400 59596628000 60540466000 61163167936 62962084640 64324245125 65868027008 66897214930 68110432000 69189104000 71956668160 73349696000 73513423000 76453959920 77491796480 78702605800 82335033760 89945835200 94097181440 95354604800 95567449900 96864745600 98378257250 100739335424 102918792200 107035543888 112432294000 117621476800 119193256000 119459312375 121080932000 122326335872 125924169280 128648490250 131736054016 133794429860 136220864000 138378208000 143913336320 147026846000 152907919840 157405211600 164670067520 167243037325 179891670400 188194362880 190709209600 191134899800 193729491200 196756514500 201478670848 205837584400 214071087776 224864588000 235242953600 238386512000 238918624750 242161864000 244652671744 251848338560 257296980500 263472108032 267588859720 276756416000 294053692000 305815839680 314810423200 329340135040 334486074650 359783340800 382269799600 387458982400 393513029000 411675168800 428142175552 449729176000 470485907200 476773024000 477837249500 484323728000 489305343488 503696677120 514593961000 535177719440 588107384000 611631679360 629620846400 658680270080 668972149300 719566681600 764539599200 787026058000 823350337600 836215186625 856284351104 899458352000 940971814400 953546048000 955674499000 968647456000 1007393354240 1029187922000 1070355438880 1176214768000 1223263358720 1259241692800 1317360540160 1337944298600 1529079198400 1574052116000 1646700675200 1672430373250 1712568702208 1798916704000 1911348998000 1937294912000 2058375844000 2140710877760 2352429536000 2446526717440 2518483385600 2675888597200 3058158396800 3148104232000 3293401350400 3344860746500 3425137404416 3597833408000 3822697996000 4116751688000 4281421755520 4704859072000 5036966771200 5351777194400 6116316793600 6296208464000 6586802700800 6689721493000 7645395992000 8233503376000 8562843511040 10703554388800 12232633587200 12592416928000 13379442986000 15290791984000 16467006752000 17125687022080 21407108777600 25184833856000 26758885972000 30581583968000 32934013504000 42814217555200 53517771944000 61163167936000 85628435110400 107035543888000 214071087776000 428142175552000
- Sum of all divisors σ(n): 1394503946035200
- Sum of proper divisors (its aliquot sum) s(n): 966361770483200
- 428142175552000 is an abundant number, because the sum of its proper divisors (966361770483200) is greater than itself. Its abundance is 538219594931200
Bases of 428142175552000
- Binary: 11000010101100100100111100100100110000010000000002
- Hexadecimal: 0x185649E498200
- Base-36: 47RHST0Q9S
Squares and roots of 428142175552000
- 428142175552000 squared (4281421755520002) is 183305722486399586504704000000
- 428142175552000 cubed (4281421755520003) is 78480910816458285697717190041796608000000000
-
The
square root of 428142175552000 is 20691596.7376130739 -
The
cube root of 428142175552000 is 75369.5641542733
Scales and comparisons
How big is 428142175552000?- 428,142,175,552,000 seconds is equal to 13,613,596 years, 44 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 428,142,175,552,000 would take you about thirty-four million, thirty-three thousand, nine hundred ninety-two 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 428142175552000 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428142175552000
- 428142175552000 backwards is 000255571241824
- The number of decimal digits it has is: 15
- The sum of 428142175552000's digits is 46
- More coming soon!
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The information we have on file for 428142175552000 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!
Keywords: Divisors of 428142175552000, math, Factors of 428142175552000, curriculum, school, college, exams, university, Prime factorization of 428142175552000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, one hundred forty-two billion, one hundred seventy-five million, five hundred fifty-two thousand.