428431398234628608
428,431,398,234,628,608 is an even composite number composed of four prime numbers multiplied together.
What does the number 428431398234628608 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 880 divisors.
428431398234628608 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred eighty divisors.
Prime factorization of 428431398234628608:
29 × 310 × 163 × 4433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 163 × 443 × 443 × 443)See below for interesting mathematical facts about the number 428431398234628608 from the Numbermatics database.
Names of 428431398234628608
- Cardinal: 428431398234628608 can be written as Four hundred twenty-eight quadrillion, four hundred thirty-one trillion, three hundred ninety-eight billion, two hundred thirty-four million, six hundred twenty-eight thousand, six hundred eight.
Scientific notation
- Scientific notation: 4.28431398234628608 × 1017
Factors of 428431398234628608
Divisors of 428431398234628608
- Number of divisors d(n): 880
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 163 192 216 243 256 288 324 326 384 432 443 486 489 512 576 648 652 729 768 864 886 972 978 1152 1296 1304 1329 1458 1467 1536 1728 1772 1944 1956 2187 2304 2592 2608 2658 2916 2934 3456 3544 3888 3912 3987 4374 4401 4608 5184 5216 5316 5832 5868 6561 6912 7088 7776 7824 7974 8748 8802 10368 10432 10632 11664 11736 11961 13122 13203 13824 14176 15552 15648 15948 17496 17604 19683 20736 20864 21264 23328 23472 23922 26244 26406 28352 31104 31296 31896 34992 35208 35883 39366 39609 41472 41728 42528 46656 46944 47844 52488 52812 56704 59049 62208 62592 63792 69984 70416 71766 72209 78732 79218 83456 85056 93312 93888 95688 104976 105624 107649 113408 118098 118827 124416 125184 127584 139968 140832 143532 144418 157464 158436 170112 186624 187776 191376 196249 209952 211248 215298 216627 226816 236196 237654 250368 255168 279936 281664 287064 288836 314928 316872 322947 340224 356481 373248 375552 382752 392498 419904 422496 430596 433254 472392 475308 510336 559872 563328 574128 577672 588747 629856 633744 645894 649881 680448 712962 751104 765504 784996 839808 844992 861192 866508 944784 950616 968841 1020672 1069443 1119744 1126656 1148256 1155344 1177494 1259712 1267488 1291788 1299762 1425924 1531008 1569992 1679616 1689984 1722384 1733016 1766241 1889568 1901232 1937682 1949643 2041344 2138886 2253312 2296512 2310688 2354988 2519424 2534976 2583576 2599524 2851848 2906523 3062016 3139984 3208329 3359232 3379968 3444768 3466032 3532482 3779136 3802464 3875364 3899286 4277772 4593024 4621376 4709976 5038848 5069952 5167152 5199048 5298723 5703696 5813046 5848929 6124032 6279968 6416658 6759936 6889536 6932064 7064964 7558272 7604928 7750728 7798572 8555544 8719569 9186048 9242752 9419952 9624987 10077696 10139904 10334304 10398096 10597446 11407392 11626092 11697858 12559936 12833316 13779072 13864128 14129928 15116544 15209856 15501456 15597144 15896169 17111088 17439138 17546787 18372096 18485504 18839904 19249974 20279808 20668608 20796192 21194892 22814784 23252184 23395716 25119872 25666632 26158707 27558144 27728256 28259856 30233088 30419712 31002912 31194288 31792338 31988587 34222176 34878276 35093574 36971008 37679808 38499948 41337216 41592384 42389784 45629568 46504368 46791432 47688507 50239744 51333264 52317414 52640361 55116288 55456512 56519712 60839424 62005824 62388576 63584676 63977174 68444352 69756552 70187148 75359616 76999896 82674432 83184768 84779568 86938307 91259136 93008736 93582864 95377014 95965761 100479488 102666528 104634828 105280722 110913024 113039424 124011648 124777152 127169352 127954348 136888704 139513104 140374296 143065521 150719232 153999792 157921083 165348864 166369536 169559136 173876614 182518272 186017472 187165728 190754028 191931522 205333056 209269656 210561444 226078848 248023296 249554304 254338704 255908696 260814921 273777408 279026208 280748592 286131042 287897283 301438464 307999584 315842166 332739072 339118272 347753228 372034944 374331456 381508056 383863044 410666112 418539312 421122888 429196563 452157696 473763249 496046592 499108608 508677408 511817392 521629842 547554816 558052416 561497184 572262084 575794566 615999168 631684332 678236544 695506456 744069888 748662912 763016112 767726088 782444763 821332224 837078624 842245776 858393126 863691849 904315392 947526498 998217216 1017354816 1023634784 1043259684 1116104832 1122994368 1144524168 1151589132 1231998336 1263368664 1287589689 1356473088 1391012912 1421289747 1488139776 1497325824 1526032224 1535452176 1564889526 1642664448 1674157248 1684491552 1716786252 1727383698 1895052996 2034709632 2047269568 2086519368 2232209664 2245988736 2289048336 2303178264 2347334289 2463996672 2526737328 2575179378 2591075547 2712946176 2782025824 2842579494 2994651648 3052064448 3070904352 3129779052 3348314496 3368983104 3433572504 3454767396 3790105992 3862769067 4069419264 4094539136 4173038736 4263869241 4464419328 4491977472 4578096672 4606356528 4694668578 4927993344 5053474656 5150358756 5182151094 5564051648 5685158988 6104128896 6141808704 6259558104 6696628992 6737966208 6867145008 6909534792 7042002867 7580211984 7725538134 7773226641 8138838528 8189078272 8346077472 8527738482 8983954944 9156193344 9212713056 9389337156 10106949312 10300717512 10364302188 11128103296 11370317976 11588307201 12208257792 12283617408 12519116208 13393257984 13475932416 13734290016 13819069584 14084005734 14170944041 15160423968 15451076268 15546453282 16378156544 16692154944 17055476964 18312386688 18425426112 18778674312 20213898624 20601435024 20728604376 21126008601 22256206592 22740635952 23176614402 23319679923 24416515584 24567234816 25038232416 26951864832 27468580032 27638139168 28168011468 28341888082 30320847936 30902152536 31092906564 33384309888 34110953928 36624773376 36850852224 37557348624 40427797248 41202870048 41457208752 42252017202 42512832123 44512413184 45481271904 46353228804 46639359846 49134469632 50076464832 54937160064 55276278336 56336022936 56683776164 60641695872 61804305072 62185813128 63378025803 66768619776 68221907856 69959039769 73249546752 73701704448 75114697248 80855594496 82405740096 82914417504 84504034404 85025664246 90962543808 92706457608 93278719692 100152929664 109874320128 110552556672 112672045872 113367552328 121283391744 123608610144 124371626256 126756051606 127538496369 133537239552 136443815712 139918079538 147403408896 150229394496 164811480192 165828835008 169008068808 170051328492 181925087616 185412915216 186557439384 190134077409 200305859328 209877119307 219748640256 221105113344 225344091744 226735104656 242566783488 247217220288 248743252512 253512103212 255076992738 272887631424 279836159076 300458788992 329622960384 331657670016 338016137616 340102656984 363850175232 370825830432 373114878768 380268154818 382615489107 400611718656 419754238614 442210226688 450688183488 453470209312 494434440576 497486505024 507024206424 510153985476 545775262848 559672318152 570402232227 600917577984 629631357921 659245920768 663315340032 676032275232 680205313968 727700350464 741651660864 746229757536 760536309636 765230978214 839508477228 901376366976 906940418624 988868881152 994973010048 1014048412848 1020307970952 1091550525696 1119344636304 1140804464454 1147846467321 1201835155968 1259262715842 1326630680064 1352064550464 1360410627936 1483303321728 1492459515072 1521072619272 1530461956428 1679016954456 1711206696681 1802752733952 1813880837248 1888894073763 1977737762304 1989946020096 2028096825696 2040615941904 2183101051392 2238689272608 2281608928908 2295692934642 2518525431684 2704129100928 2720821255872 2966606643456 2984919030144 3042145238544 3060923912856 3358033908912 3422413393362 3443539401963 3605505467904 3627761674496 3777788147526 3979892040192 4056193651392 4081231883808 4477378545216 4563217857816 4591385869284 5037050863368 5133620090043 5408258201856 5441642511744 5933213286912 5969838060288 6084290477088 6121847825712 6716067817824 6844826786724 6887078803926 7255523348992 7555576295052 8112387302784 8162463767616 8954757090432 9126435715632 9182771738568 10074101726736 10267240180086 10330618205889 10816516403712 10883285023488 11939676120576 12168580954176 12243695651424 13432135635648 13689653573448 13774157607852 15111152590104 16224774605568 16324927535232 17909514180864 18252871431264 18365543477136 20148203453472 20534480360172 20661236411778 21766570046976 24337161908352 24487391302848 26864271271296 27379307146896 27548315215704 30222305180208 30991854617667 32449549211136 32649855070464 35819028361728 36505742862528 36731086954272 40296406906944 41068960720344 41322472823556 48674323816704 48974782605696 53728542542592 54758614293792 55096630431408 60444610360416 61983709235334 65299710140928 73011485725056 73462173908544 80592813813888 82137921440688 82644945647112 92975563853001 97348647633408 97949565211392 107457085085184 109517228587584 110193260862816 120889220720832 123967418470668 146022971450112 146924347817088 161185627627776 164275842881376 165289891294224 185951127706002 195899130422784 219034457175168 220386521725632 241778441441664 247934836941336 278926691559003 292045942900224 293848695634176 322371255255552 328551685762752 330579782588448 371902255412004 438068914350336 440773043451264 483556882883328 495869673882672 557853383118006 587697391268352 657103371525504 661159565176896 743804510824008 836780074677009 876137828700672 881546086902528 967113765766656 991739347765344 1115706766236012 1314206743051008 1322319130353792 1487609021648016 1673560149354018 1763092173805056 1983478695530688 2231413532472024 2628413486102016 2644638260707584 2975218043296032 3347120298708036 3966957391061376 4462827064944048 5289276521415168 5950436086592064 6694240597416072 7933914782122752 8925654129888096 11900872173184128 13388481194832144 15867829564245504 17851308259776192 23801744346368256 26776962389664288 35702616519552384 47603488692736512 53553924779328576 71405233039104768 107107849558657152 142810466078209536 214215699117314304 428431398234628608
- Sum of all divisors σ(n): 1294832143335060000
- Sum of proper divisors (its aliquot sum) s(n): 866400745100431392
- 428431398234628608 is an abundant number, because the sum of its proper divisors (866400745100431392) is greater than itself. Its abundance is 437969346865802784
Bases of 428431398234628608
- Binary: 101111100100001100000010110001101100110011000100010000000002
- Hexadecimal: 0x5F2181636662200
- Base-36: 396I978I0000
Squares and roots of 428431398234628608
- 428431398234628608 squared (4284313982346286082) is 183553462993278929127518551692017664
- 428431398234628608 cubed (4284313982346286083) is 78640066801018649725738241869266725505888421215731712
-
The
square root of 428431398234628608 is 654546712.0340828723 -
The
cube root of 428431398234628608 is 753865.3178955061
Scales and comparisons
How big is 428431398234628608?- 428,431,398,234,628,608 seconds is equal to 13,622,793,238 years, 27 weeks, 5 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 428,431,398,234,628,608 would take you about forty billion, eight hundred sixty-eight million, three hundred seventy-nine thousand, seven hundred fifteen 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 428431398234628608 cubic inches would be around 62822.1 feet tall.
Recreational maths with 428431398234628608
- 428431398234628608 backwards is 806826432893134824
- 428431398234628608 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428431398234628608's digits is 81
- More coming soon!
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The information we have on file for 428431398234628608 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 428431398234628608, math, Factors of 428431398234628608, curriculum, school, college, exams, university, Prime factorization of 428431398234628608, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, four hundred thirty-one trillion, three hundred ninety-eight billion, two hundred thirty-four million, six hundred twenty-eight thousand, six hundred eight.