428136385686400
428,136,385,686,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 428136385686400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
428136385686400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428136385686400:
27 × 52 × 372 × 41 × 127 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 37 × 37 × 41 × 127 × 137 × 137)See below for interesting mathematical facts about the number 428136385686400 from the Numbermatics database.
Names of 428136385686400
- Cardinal: 428136385686400 can be written as Four hundred twenty-eight trillion, one hundred thirty-six billion, three hundred eighty-five million, six hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.281363856864 × 1014
Factors of 428136385686400
Divisors of 428136385686400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 50 64 74 80 82 100 127 128 137 148 160 164 185 200 205 254 274 296 320 328 370 400 410 508 548 592 635 640 656 685 740 800 820 925 1016 1025 1096 1184 1270 1312 1369 1370 1480 1517 1600 1640 1850 2032 2050 2192 2368 2540 2624 2738 2740 2960 3034 3175 3200 3280 3425 3700 4064 4100 4384 4699 4736 5069 5080 5207 5248 5476 5480 5617 5920 6068 6350 6560 6845 6850 7400 7585 8128 8200 8768 9398 10138 10160 10414 10952 10960 11234 11840 12136 12700 13120 13690 13700 14800 15170 16256 16400 17399 17536 18769 18796 20276 20320 20828 21904 21920 22468 23495 23680 24272 25345 25400 26035 26240 27380 27400 28085 29600 30340 32800 34225 34798 37538 37592 37925 40552 40640 41656 43808 43840 44936 46990 48544 50690 50800 52070 54760 54800 56129 56170 59200 60680 65600 68450 69596 75076 75184 75850 81104 81280 83312 86995 87616 87680 89872 93845 93980 97088 101380 101600 104140 109520 109600 112258 112340 117475 118400 121360 126725 130175 131200 136900 139192 140425 150152 150368 151700 162208 166624 173863 173990 175232 179744 187553 187690 187960 192659 194176 202760 203200 207829 208280 219040 219200 224516 224680 234950 242720 253450 260350 273800 278384 280645 280850 300304 300736 303400 324416 333248 347726 347980 359488 375106 375380 375920 385318 405520 406400 415658 416560 434975 438080 438400 449032 449360 469225 469900 485440 506900 520700 547600 556768 561290 561700 600608 601472 606800 643763 648832 666496 694453 695452 695960 713359 718976 750212 750760 751840 769529 770636 811040 831316 833120 869315 869950 876160 898064 898720 937765 938450 939800 963295 970880 1013800 1039145 1041400 1095200 1113536 1122580 1123400 1201216 1213600 1287526 1388906 1390904 1391920 1403225 1426718 1500424 1501520 1503680 1539058 1541272 1622080 1662632 1666240 1738630 1739900 1796128 1797440 1875530 1876900 1879600 1926590 2027600 2078290 2082800 2190400 2227072 2245160 2246800 2383663 2402432 2427200 2575052 2777812 2781808 2783840 2806450 2853436 3000848 3003040 3007360 3078116 3082544 3218815 3244160 3325264 3332480 3472265 3477260 3479800 3566795 3592256 3594880 3751060 3753800 3759200 3847645 3853180 4055200 4156580 4165600 4346575 4380800 4490320 4493600 4688825 4767326 4816475 4854400 5150104 5195725 5555624 5563616 5567680 5612900 5706872 6001696 6006080 6156232 6165088 6437630 6650528 6944530 6954520 6959600 7128383 7133590 7184512 7502120 7507600 7518400 7689673 7695290 7706360 8110400 8313160 8331200 8693150 8980640 8987200 9377650 9534652 9632950 10300208 10391450 11111248 11127232 11135360 11225800 11413744 11918315 12003392 12012160 12312464 12330176 12875260 13301056 13889060 13909040 13919200 14256766 14267180 15004240 15015200 15036800 15379346 15390580 15412720 16094075 16220800 16626320 16662400 17361325 17386300 17833975 17961280 17974400 18755300 19069304 19238225 19265900 20600416 20782900 22222496 22254464 22451600 22827488 23819231 23836630 24006784 24624928 24660352 25694761 25750520 26394283 26602112 27778120 27818080 27838400 28472573 28513532 28534360 30008480 30030400 30758692 30781160 30825440 32188150 33252640 34722650 34772600 35641915 35667950 35922560 37510600 38138608 38448365 38476450 38531800 41200832 41565800 44444992 44903200 45654976 47638462 47673260 49249856 51389522 51501040 52788566 55556240 55636160 55676800 56945146 57027064 57068720 59591575 60016960 60060800 61517384 61562320 61650880 64376300 66505280 69445300 69545200 71283830 71335900 75021200 76277216 76896730 76952900 77063600 82401664 83131600 88195531 88889984 89806400 91309952 95276924 95346520 97730183 98499712 102779044 103002080 105577132 111112480 111272320 113890292 114054128 114137440 119096155 119183150 120033920 123034768 123124640 123301760 128473805 128752600 131971415 133010560 138890600 139090400 142362865 142567660 142671800 150042400 152554432 153793460 153905800 154127200 166263200 176391062 178209575 179612800 190553848 190693040 192241825 195460366 205558088 206004160 211154264 222224960 227780584 228108256 228274880 238192310 238366300 246069536 246249280 256947610 257505200 263942830 277781200 278180800 284725730 285135320 285343600 300084800 305108864 307586920 307811600 308254400 332526400 352782124 356419150 381107696 381386080 384483650 390920732 411116176 412008320 422308528 440977655 444449920 455561168 456216512 456549760 476384620 476732600 488650915 492139072 492498560 513895220 515010400 527885660 555562400 556361600 569451460 570270640 570687200 595480775 600169600 615173840 615623200 616508800 642369025 659857075 665052800 705564248 711814325 712838300 762215392 762772160 768967300 781841464 822232352 844617056 881955310 911122336 912433024 952769240 953465200 976588471 977301830 984278144 1027790440 1030020800 1053485201 1055771320 1111124800 1138902920 1140541280 1141374400 1190961550 1230347680 1231246400 1284738050 1319714150 1411128496 1423628650 1425676600 1524430784 1525544320 1537934600 1563682928 1644464704 1689234112 1763910620 1822244672 1905538480 1906930400 1953176942 1954603660 2055580880 2060041600 2106970402 2111542640 2204888275 2222249600 2277805840 2281082560 2282748800 2381923100 2443254575 2460695360 2462492800 2569476100 2639428300 2822256992 2847257300 2851353200 3048861568 3075869200 3127365856 3263234647 3288929408 3378468224 3527821240 3616016771 3644489344 3811076960 3813860800 3906353884 3909207320 4111161760 4213940804 4223085280 4409776550 4555611680 4562165120 4763846200 4882942355 4886509150 4921390720 5138952200 5267426005 5278856600 5644513984 5694514600 5702706400 6151738400 6254731712 6526469294 7055642480 7232033542 7622153920 7627721600 7812707768 7818414640 8222323520 8427881608 8446170560 8819553100 9111223360 9527692400 9765884710 9773018300 10277904400 10534852010 10557713200 11289027968 11389029200 11405412800 12303476800 12509463424 13052938588 14111284960 14464067084 15244307840 15625415536 15636829280 16316173235 16444647040 16855763216 16892341120 17639106200 18080083855 18222446720 19055384800 19531769420 19546036600 20555808800 21069704020 21115426400 22778058400 22810825600 24414711775 24606953600 26105877176 26337130025 28222569920 28928134168 31250831072 31273658560 32632346470 33711526432 35278212400 36160167710 38110769600 39063538840 39092073200 41111617600 42139408040 42230852800 45556116800 48829423550 52211754352 52674260050 56445139840 57856268336 62501662144 62547317120 65264692940 67423052864 70556424800 72320335420 76221539200 78127077680 78184146400 81580866175 82223235200 84278816080 84461705600 90400419275 91112233600 97658847100 104423508704 105348520100 115712536672 125003324288 130529385880 133792620527 134846105728 141112849600 144640670840 156254155360 156368292800 163161732350 168557632160 180800838550 195317694200 208847017408 210697040200 231425073344 261058771760 267585241054 282225699200 289281341680 312508310720 312736585600 326323464700 337115264320 361601677100 390635388400 417694034816 421394080400 462850146688 522117543520 535170482108 578562683360 625016621440 652646929400 668963102635 674230528640 723203354200 781270776800 842788160800 1044235087040 1070340964216 1157125366720 1305293858800 1337926205270 1446406708400 1562541553600 1685576321600 2088470174080 2140681928432 2314250733440 2610587717600 2675852410540 2892813416800 3125083107200 3344815513175 3371152643200 4281363856864 5221175435200 5351704821080 5785626833600 6689631026350 8562727713728 10442350870400 10703409642160 11571253667200 13379262052700 17125455427456 21406819284320 26758524105400 42813638568640 53517048210800 85627277137280 107034096421600 214068192843200 428136385686400
- Sum of all divisors σ(n): 1130518974654720
- Sum of proper divisors (its aliquot sum) s(n): 702382588968320
- 428136385686400 is an abundant number, because the sum of its proper divisors (702382588968320) is greater than itself. Its abundance is 274246203281920
Bases of 428136385686400
- Binary: 11000010101100011010001010010111100101011100000002
- Hexadecimal: 0x18563452F2B80
- Base-36: 47RF51VTDS
Squares and roots of 428136385686400
- 428136385686400 squared (4281363856864002) is 183300764748613854799144960000
- 428136385686400 cubed (4281363856864003) is 78477726913024614478069374199502700544000000
-
The
square root of 428136385686400 is 20691456.8285174159 -
The
cube root of 428136385686400 is 75369.2244060629
Scales and comparisons
How big is 428136385686400?- 428,136,385,686,400 seconds is equal to 13,613,412 years, 39 weeks, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,136,385,686,400 would take you about thirty-four million, thirty-three thousand, five hundred thirty-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 428136385686400 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428136385686400
- 428136385686400 backwards is 004686583631824
- 428136385686400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428136385686400's digits is 64
- More coming soon!
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The information we have on file for 428136385686400 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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