428046201393408
428,046,201,393,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 428046201393408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
428046201393408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 428046201393408:
28 × 32 × 13 × 29 × 792 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 79 × 79 × 281 × 281)See below for interesting mathematical facts about the number 428046201393408 from the Numbermatics database.
Names of 428046201393408
- Cardinal: 428046201393408 can be written as Four hundred twenty-eight trillion, forty-six billion, two hundred one million, three hundred ninety-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.28046201393408 × 1014
Factors of 428046201393408
Divisors of 428046201393408
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 79 87 96 104 116 117 128 144 156 158 174 192 208 232 234 237 256 261 281 288 312 316 348 377 384 416 464 468 474 522 562 576 624 632 696 711 754 768 832 843 928 936 948 1027 1044 1124 1131 1152 1248 1264 1392 1422 1508 1664 1686 1856 1872 1896 2054 2088 2248 2262 2291 2304 2496 2528 2529 2784 2844 3016 3081 3328 3372 3393 3653 3712 3744 3792 4108 4176 4496 4524 4582 4992 5056 5058 5568 5688 6032 6162 6241 6744 6786 6873 7306 7424 7488 7584 8149 8216 8352 8992 9048 9164 9243 9984 10112 10116 10959 11136 11376 12064 12324 12482 13488 13572 13746 14612 14976 15168 16298 16432 16704 17984 18096 18328 18486 18723 20224 20232 20619 21918 22199 22272 22752 24128 24447 24648 24964 26976 27144 27492 29224 29783 29952 30336 32596 32864 32877 33408 35968 36192 36656 36972 37446 40464 41238 43836 44398 45504 48256 48894 49296 49928 53952 54288 54984 56169 58448 59566 60672 65192 65728 65754 66597 66816 71936 72384 73312 73341 73944 74892 78961 80928 81133 82476 87672 88796 89349 91008 96512 97788 98592 99856 105937 107904 108576 109968 112338 116896 119132 130384 131456 131508 133194 144768 146624 146682 147888 149784 157922 161856 162266 164952 175344 177592 178698 180989 182016 195576 197184 199712 199791 211874 215808 217152 219936 224676 233792 236883 238264 243399 260768 262912 263016 266388 268047 288587 289536 293248 293364 295776 299568 315844 317811 323712 324532 329904 350688 355184 357396 361978 391152 394368 399424 399582 423748 434304 439872 449352 467584 473766 476528 486798 521536 526032 532776 536094 542967 577174 586496 586728 591552 599136 631688 635622 643771 647424 649064 659808 701376 710368 710649 714792 723956 730197 782304 788736 798848 799164 847496 865761 868608 879744 898704 935168 947532 953056 953433 973596 1026493 1043072 1052064 1065552 1072188 1085934 1154348 1173456 1183104 1198272 1263376 1271244 1287542 1298128 1319616 1402752 1420736 1421298 1429584 1447912 1460394 1564608 1597696 1598328 1628901 1694992 1731522 1753721 1759488 1797408 1895064 1906112 1906866 1931313 1947192 2052986 2086144 2104128 2131104 2144376 2171868 2289869 2308696 2346912 2352857 2366208 2396544 2526752 2542488 2575084 2596256 2597283 2639232 2805504 2841472 2842596 2859168 2895824 2920788 3079479 3129216 3196656 3257802 3389984 3463044 3507442 3594816 3790128 3812224 3813732 3862626 3894384 4105972 4208256 4262208 4288752 4343736 4579738 4617392 4693824 4705714 4793088 5053504 5084976 5150168 5192512 5194566 5261163 5278464 5682944 5685192 5718336 5791648 5793939 5841576 6158958 6237919 6258432 6393312 6515604 6779968 6869607 6926088 7014884 7058571 7189632 7580256 7624448 7627464 7725252 7788768 8211944 8369023 8416512 8524416 8577504 8687472 9159476 9234784 9238437 9387648 9411428 10107008 10169952 10300336 10385024 10389132 10522326 11370384 11436672 11583296 11587878 11683152 12317916 12475838 12786624 13031208 13559936 13739214 13852176 14029768 14117142 14379264 15160512 15254928 15450504 15577536 15783489 16423888 16738046 17048832 17155008 17374944 18318952 18469568 18476874 18713757 18775296 18822856 20214016 20339904 20600672 20608821 20770048 20778264 21044652 21175713 22740768 22798373 22873344 23166592 23175756 23366304 24635832 24951676 25107069 25573248 26062416 27119872 27478428 27704352 28059536 28234284 29768297 30321024 30509856 30901008 31155072 31566978 32847776 33476092 34310016 34749888 36637904 36939136 36953748 37427514 37645712 40679808 41201344 41217642 41556528 42089304 42351426 45481536 45596746 46333184 46351512 46732608 49271664 49903352 50214138 50857909 51146496 52124832 54956856 55408704 56119072 56141271 56468568 59536594 60642048 61019712 61802016 62310144 63133956 65695552 66952184 68395119 68620032 69499776 73275808 73878272 73907496 74855028 75291424 75321207 81092947 81359616 82402688 82435284 83113056 84178608 84702852 89304891 90963072 91193492 92703024 93465216 98543328 99806704 100428276 101715818 104249664 109913712 110817408 112238144 112282542 112937136 119073188 122039424 123604032 126267912 131391104 133904368 136790238 138999552 146551616 147814992 149710056 150582848 150642414 152573727 162185894 164805376 164870568 166226112 168357216 169405704 178609782 180899651 181926144 182386984 185406048 186930432 197086656 199613408 200856552 203431636 205185357 208499328 219827424 221634816 224476288 224565084 225874272 238146376 243278841 244078848 247208064 252535824 262782208 267808736 267914673 273580476 293103232 295629984 299420112 301165696 301284828 305147454 324371788 329741136 332452224 336714432 338811408 357219564 361799302 364773968 370812096 394173312 399226816 401713104 406863272 410370714 416998656 439654848 448952576 449130168 451748544 457721181 476292752 486557682 492795601 494416128 505071648 535617472 535829346 542698953 547160952 586206464 591259968 598840224 602331392 602569656 610294908 648743576 659482272 661152817 664904448 673428864 677622816 714439128 723598604 729547936 729836523 741624192 788346624 798453632 803426208 813726544 820741428 879309696 898260336 903497088 915442362 952585504 973115364 985591202 1010143296 1071234944 1071658692 1085397906 1094321904 1182519936 1197680448 1205139312 1220589816 1297487152 1318964544 1322305634 1346857728 1355245632 1428878256 1447197208 1459095872 1459673046 1478386803 1483248384 1596907264 1606852416 1627453088 1628096859 1641482856 1758619392 1796520672 1806994176 1830884724 1905171008 1946230728 1971182404 1983458451 2020286592 2142469888 2143317384 2170795812 2188643808 2351695463 2365039872 2395360896 2410278624 2441179632 2594974304 2637929088 2644611268 2710491264 2857756512 2894394416 2918191744 2919346092 2956773606 3213704832 3254906176 3256193718 3282965712 3593041344 3661769448 3810342016 3892461456 3942364808 3966916902 4040573184 4286634768 4341591624 4377287616 4435160409 4703390926 4790721792 4820557248 4882359264 5189948608 5275858176 5289222536 5420982528 5715513024 5788788832 5836383488 5838692184 5913547212 5950375353 6406342813 6427409664 6509812352 6512387436 6565931424 7055086389 7186082688 7323538896 7620684032 7784922912 7884729616 7933833804 8573269536 8683183248 8754575232 8870320818 9406781852 9641114496 9764718528 10379897216 10578445072 11431026048 11577577664 11677384368 11827094424 11900750706 12812685626 13019624704 13024774872 13131862848 14110172778 14291072429 14372165376 14647077792 15569845824 15769459232 15867667608 17146539072 17366366496 17509150464 17740641636 18813563704 19219028439 19282228992 19529437056 20759794432 21156890144 21165259167 22862052096 23155155328 23354768736 23654188848 23801501412 25625371252 26049549744 26263725696 28220345556 28582144858 29294155584 31139691648 31538918464 31735335216 34293078144 34732732992 35481283272 37627127408 38438056878 39058874112 42313780288 42330518334 42873217287 46310310656 46709537472 47308377696 47603002824 51250742504 52099099488 52527451392 56440691112 57164289716 57657085317 58588311168 62279383296 63077836928 63470670432 68586156288 69465465984 70962566544 75254254816 76876113756 84627560576 84661036668 85746434574 93419074944 94616755392 95206005648 102501485008 104198198976 112881382224 114328579432 115314170634 117176622336 126155673856 126941340864 128619651861 138930931968 141925133088 150508509632 153752227512 169255121152 169322073336 171492869148 185783941577 186838149888 189233510784 190412011296 205002970016 208396397952 225762764448 228657158864 230628341268 253882681728 257239303722 283850266176 301017019264 307504455024 338644146672 342985738296 371567883154 378467021568 380824022592 410005940032 416792795904 451525528896 457314317728 461256682536 507765363456 514478607444 557351824731 567700532352 602034038528 615008910048 677288293344 685971476592 743135766308 761648045184 820011880064 903051057792 914628635456 922513365072 1028957214888 1114703649462 1135401064704 1230017820096 1354576586688 1371942953184 1486271532616 1523296090368 1640023760128 1672055474193 1806102115584 1829257270912 1845026730144 2057914429776 2229407298924 2460035640192 2709153173376 2743885906368 2972543065232 3344110948386 3658514541824 3690053460288 4115828859552 4458814597848 4920071280384 5418306346752 5487771812736 5945086130464 6688221896772 7380106920576 8231657719104 8917629195696 10975543625472 11890172260928 13376443793544 14760213841152 16463315438208 17835258391392 23780344521856 26752887587088 32926630876416 35670516782784 47560689043712 53505775174176 71341033565568 107011550348352 142682067131136 214023100696704 428046201393408
- Sum of all divisors σ(n): 1397527112070180
- Sum of proper divisors (its aliquot sum) s(n): 969480910676772
- 428046201393408 is an abundant number, because the sum of its proper divisors (969480910676772) is greater than itself. Its abundance is 541434709283364
Bases of 428046201393408
- Binary: 11000010101001110010001011100100000010001000000002
- Hexadecimal: 0x1854E45C81100
- Base-36: 47Q9PKHFK0
Squares and roots of 428046201393408
- 428046201393408 squared (4280462013934082) is 183223550527326000840785854464
- 428046201393408 cubed (4280462013934083) is 78428144809035051914275458196625972696973312
-
The
square root of 428046201393408 is 20689277.4497662919 -
The
cube root of 428046201393408 is 75363.9320134541
Scales and comparisons
How big is 428046201393408?- 428,046,201,393,408 seconds is equal to 13,610,545 years, 8 weeks, 6 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 428,046,201,393,408 would take you about thirty-four million, twenty-six thousand, three hundred sixty-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 428046201393408 cubic inches would be around 6280.3 feet tall.
Recreational maths with 428046201393408
- 428046201393408 backwards is 804393102640824
- The number of decimal digits it has is: 15
- The sum of 428046201393408's digits is 54
- More coming soon!
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The information we have on file for 428046201393408 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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