428940638505456
428,940,638,505,456 is an even composite number composed of six prime numbers multiplied together.
428940638505456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 428940638505456:
24 × 3 × 73 × 11 × 412 × 11872
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 41 × 41 × 1187 × 1187)See below for interesting mathematical facts about the number 428940638505456 from the Numbermatics database.
Names of 428940638505456
- Cardinal: 428940638505456 can be written as Four hundred twenty-eight trillion, nine hundred forty billion, six hundred thirty-eight million, five hundred five thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 4.28940638505456 × 1014
Factors of 428940638505456
Divisors of 428940638505456
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 49 56 66 77 82 84 88 98 112 123 132 147 154 164 168 176 196 231 246 264 287 294 308 328 336 343 392 451 462 492 528 539 574 588 616 656 686 784 861 902 924 984 1029 1078 1148 1176 1187 1232 1353 1372 1617 1681 1722 1804 1848 1968 2009 2058 2156 2296 2352 2374 2706 2744 3157 3234 3362 3444 3561 3608 3696 3773 4018 4116 4312 4592 4748 5043 5412 5488 6027 6314 6468 6724 6888 7122 7216 7546 8036 8232 8309 8624 9471 9496 10086 10824 11319 11767 12054 12628 12936 13057 13448 13776 14063 14244 15092 16072 16464 16618 18491 18942 18992 20172 21648 22099 22638 23534 24108 24927 25256 25872 26114 26896 28126 28488 30184 32144 33236 35301 36982 37884 39171 40344 42189 44198 45276 47068 48216 48667 49854 50512 52228 55473 56252 56976 58163 60368 66297 66472 70602 73964 75768 78342 80688 82369 84378 88396 90552 91399 94136 96432 97334 99708 104456 110946 112504 116326 129437 132594 132944 141204 146001 147928 151536 154693 156684 164738 168756 174489 176792 181104 182798 188272 194668 199416 208912 221892 225008 232652 247107 258874 265188 274197 282408 292002 295856 309386 313368 329476 337512 340669 348978 353584 365596 388311 389336 398832 407141 443784 464079 465304 494214 517748 530376 535337 548394 564816 576583 584004 618772 626736 639793 658952 675024 681338 697956 731192 776622 778672 814282 887568 906059 928158 930608 988428 1022007 1035496 1060752 1070674 1096788 1153166 1168008 1221423 1237544 1279586 1317904 1362676 1395912 1408969 1462384 1553244 1606011 1628564 1729749 1812118 1856316 1919379 1976856 1995347 2044014 2070992 2141348 2193576 2306332 2336016 2384683 2442846 2475088 2559172 2718177 2725352 2791824 2817938 3106488 3212022 3257128 3459498 3624236 3712632 3747359 3838758 3953712 3990694 4088028 4226907 4282696 4387152 4478551 4612664 4769366 4885692 5118344 5436354 5450704 5635876 5986041 6212976 6342413 6424044 6514256 6918996 7154049 7248472 7425264 7494718 7677516 7981388 8176056 8453814 8565392 8957102 9225328 9538732 9771384 9862783 10236688 10872708 11242077 11271752 11972082 12684826 12848088 13435653 13837992 13967429 14308098 14496944 14989436 15355032 15498659 15962776 16352112 16692781 16907628 17914204 19027239 19077464 19542768 19725566 21745416 21948817 22484154 22543504 23944164 25369652 25696176 26231513 26871306 27675984 27934858 28616196 29588349 29978872 30710064 30997318 31925552 33385562 33815256 35828408 38054478 38154928 39451132 41902287 43490832 43897634 44968308 46495977 47888328 50078343 50739304 52463026 53742612 55869716 57232392 57767729 59176698 59957744 61994636 65846451 66771124 67630512 69039481 71656816 76108956 78694539 78902264 83804574 87795268 89936616 92991954 95776656 97772003 100156686 101478608 104926052 107485224 108490613 111739432 114464784 115535458 118353396 123989272 131692902 133542248 138078962 152217912 153641719 157389078 157804528 167609148 173303187 175590536 179873232 183620591 185983908 195544006 200313372 207118443 209852104 214970448 216981226 223478864 231070916 236706792 247978544 263385804 267084496 276157924 293316009 304435824 307283438 314778156 325471839 335218296 346606374 351181072 367241182 371967816 391088012 400626744 404374103 414236886 419704208 433962452 460925157 462141832 473413584 483276367 526771608 550861773 552315848 586632018 614566876 629556312 635445019 650943678 670436592 684404021 693212748 734482364 743935632 759434291 782176024 801253488 808748206 828473772 867924904 921850314 924283664 966552734 1053543216 1075492033 1101723546 1104631696 1173264036 1213122309 1229133752 1259112624 1270890038 1301887356 1368808042 1386425496 1449829101 1468964728 1518868582 1564352048 1617496412 1656947544 1735849808 1843700628 1906335057 1933105468 2053212063 2150984066 2203447092 2278302873 2346528072 2368476889 2426244618 2458267504 2541780076 2603774712 2737616084 2772850992 2830618721 2899658202 2937929456 3037737164 3226476099 3234992824 3313895088 3687401256 3812670114 3866210936 4106424126 4301968132 4406894184 4448115133 4556605746 4693056144 4736953778 4852489236 5083560152 5207549424 5316040037 5475232168 5661237442 5799316404 6075474328 6452952198 6469985648 7105430667 7374802512 7528444231 7625340228 7732421872 8212848252 8491856163 8603936264 8813788368 8896230266 9113211492 9473907556 9704978472 10167120304 10632080074 10950464336 11322474884 11598632808 12150948656 12905904396 13344345399 14210861334 15056888462 15250680456 15948120111 16425696504 16579338223 16983712326 17207872528 17792460532 18226422984 18947815112 19409956944 19814331047 21264160148 22585332693 22644949768 23197265616 25811808792 26053245779 26688690798 28421722668 30113776924 30501360912 31136805931 31896240222 32851393008 33158676446 33967424652 35584921064 36452845968 37895630224 39628662094 42528320296 45170665386 45289899536 49738014669 51623617584 52106491558 53377381596 56843445336 59442993141 60227553848 62273611862 63792480444 66317352892 67934849304 71169842128 78159737337 79257324188 85056640592 90341330772 93410417793 99476029338 104212983116 106754763192 113686890672 116055367561 118885986282 120455107696 124547223724 127584960888 132634705784 135869698608 156319474674 158514648376 180682661544 182372720453 186820835586 198952058676 208425966232 213509526384 217957641517 232110735122 237771972564 249094447448 255169921776 265269411568 312638949348 317029296752 348166102683 361365323088 364745440906 373641671172 397904117352 416851932464 435915283034 464221470244 475543945128 498188894896 547118161359 625277898696 653872924551 696332205366 729490881812 747283342344 795808234704 812387572927 871830566068 928442940488 951087890256 1094236322718 1250555797392 1276609043171 1307745849102 1392664410732 1458981763624 1494566684688 1624775145854 1743661132136 1856885880976 2188472645436 2437162718781 2553218086342 2615491698204 2785328821464 2917963527248 3249550291708 3487322264272 3829827129513 4376945290872 4874325437562 5106436172684 5230983396408 5570657642928 6499100583416 7659654259026 8753890581744 8936263302197 9748650875124 10212872345368 10461966792816 12998201166832 15319308518052 17872526604394 19497301750248 20425744690736 26808789906591 30638617036104 35745053208788 38994603500496 53617579813182 61277234072208 71490106417576 107235159626364 142980212835152 214470319252728 428940638505456
- Sum of all divisors σ(n): 1446157744147200
- Sum of proper divisors (its aliquot sum) s(n): 1017217105641744
- 428940638505456 is an abundant number, because the sum of its proper divisors (1017217105641744) is greater than itself. Its abundance is 588276467136288
Bases of 428940638505456
- Binary: 11000011000011110100001100110001101001001111100002
- Hexadecimal: 0x1861E866349F0
- Base-36: 481OLX8W6O
Squares and roots of 428940638505456
- 428940638505456 squared (4289406385054562) is 183990071361468282497341767936
- 428940638505456 cubed (4289406385054563) is 78920818688452619221256323440492163821858816
-
The
square root of 428940638505456 is 20710882.1276510575 -
The
cube root of 428940638505456 is 75416.3885007979
Scales and comparisons
How big is 428940638505456?- 428,940,638,505,456 seconds is equal to 13,638,985 years, 26 weeks, 1 day, 10 hours, 37 minutes, 36 seconds.
-
To count from 1 to 428,940,638,505,456 would take you about thirty-four million, ninety-seven thousand, four hundred sixty-three 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 428940638505456 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428940638505456
- 428940638505456 backwards is 654505836049824
- The number of decimal digits it has is: 15
- The sum of 428940638505456's digits is 69
- More coming soon!
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The information we have on file for 428940638505456 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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