428029531809264
428,029,531,809,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 428029531809264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
428029531809264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 428029531809264:
24 × 32 × 73 × 112 × 337 × 4612
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 337 × 461 × 461)See below for interesting mathematical facts about the number 428029531809264 from the Numbermatics database.
Names of 428029531809264
- Cardinal: 428029531809264 can be written as Four hundred twenty-eight trillion, twenty-nine billion, five hundred thirty-one million, eight hundred nine thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.28029531809264 × 1014
Factors of 428029531809264
Divisors of 428029531809264
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 49 56 63 66 72 77 84 88 98 99 112 121 126 132 144 147 154 168 176 196 198 231 242 252 264 294 308 336 337 343 363 392 396 441 461 462 484 504 528 539 588 616 674 686 693 726 784 792 847 882 922 924 968 1008 1011 1029 1078 1089 1176 1232 1348 1372 1383 1386 1452 1584 1617 1694 1764 1844 1848 1936 2022 2058 2156 2178 2352 2359 2541 2696 2744 2766 2772 2904 3033 3087 3227 3234 3388 3528 3688 3696 3707 3773 4044 4116 4149 4312 4356 4718 4851 5071 5082 5392 5488 5532 5544 5808 5929 6066 6174 6454 6468 6776 7056 7077 7376 7414 7546 7623 8088 8232 8298 8624 8712 9436 9681 9702 10142 10164 11064 11088 11121 11319 11858 12132 12348 12908 12936 13552 14154 14828 15092 15213 15246 16176 16464 16513 16596 17424 17787 18872 19362 19404 20284 20328 21231 22128 22242 22589 22638 23716 24264 24696 25816 25872 25949 28308 29043 29656 30184 30426 30492 33026 33192 33363 33957 35497 35574 37744 38724 38808 40568 40656 40777 41503 42462 44484 45178 45276 45639 47432 48528 49392 49539 51632 51898 53361 55781 56616 58086 59312 60368 60852 60984 66052 66384 66726 67767 67914 70994 71148 77448 77616 77847 81136 81554 83006 84924 88968 90356 90552 91278 94864 99078 103796 106491 106722 111562 113232 115591 116172 121704 121968 122331 124509 132104 133452 135534 135828 141988 142296 148617 154896 155357 155694 158123 163108 166012 167343 169848 177936 180712 181104 181643 182556 198156 203301 207592 212521 212982 213444 223124 231182 232344 233541 243408 244662 248479 249018 264208 266904 271068 271656 283976 284592 285439 297234 310714 311388 316246 319473 326216 332024 334686 339696 346773 361424 363286 365112 366993 373527 390467 396312 406602 415184 425042 425964 426888 446248 462364 464688 466071 467082 474369 489324 496958 498036 502029 533808 542136 543312 544929 567952 570878 594468 621428 622776 632492 637563 638946 652432 664048 669372 693546 726572 730224 733986 745437 747054 780934 792624 813204 850084 851928 853776 856317 892496 924728 932142 934164 948738 978648 993916 996072 1004058 1040319 1084272 1087499 1089858 1141756 1171401 1188936 1242856 1245552 1264984 1271501 1275126 1277892 1338744 1387092 1398213 1423107 1453144 1467972 1487647 1490874 1494108 1561868 1626408 1634787 1700168 1703856 1708927 1712634 1739353 1849456 1864284 1868328 1897476 1912689 1957296 1987832 1992144 1998073 2008116 2080638 2174998 2179716 2236311 2283512 2337731 2342802 2377872 2485712 2529968 2543002 2550252 2555784 2568951 2677488 2733269 2774184 2796426 2846214 2906288 2935944 2975294 2981748 2988216 3123736 3252816 3262497 3269574 3400336 3417854 3425268 3478706 3514203 3728568 3736656 3794952 3814503 3825378 3975664 3996146 4016232 4161276 4349996 4359432 4462941 4472622 4567024 4675462 4685604 5086004 5100504 5111568 5126781 5137902 5218059 5466538 5548368 5592852 5692428 5871888 5950588 5963496 5976432 5994219 6247472 6524994 6539148 6835708 6850536 6957412 7013193 7028406 7457136 7589904 7612493 7629006 7650756 7992292 8032464 8199807 8322552 8699992 8718864 8925882 8945244 9350924 9371208 9787491 10172008 10201008 10253562 10275804 10413529 10436118 10933076 11185704 11384856 11443509 11901176 11926992 11962489 11988438 13049988 13078296 13388823 13671416 13701072 13914824 13986511 14026386 14056812 15224986 15258012 15301512 15380343 15654177 15984584 16364117 16399614 16645104 17399984 17851764 17890488 17982657 18701848 18742416 18798197 19132883 19574982 20344016 20507124 20551608 20827058 20872236 21039579 21866152 22371408 22769712 22837479 22887018 23802352 23924978 23976876 24599421 25715041 26099976 26156592 26777646 27342832 27829648 27973022 28052772 28113624 30449972 30516024 30603024 30760686 31240587 31308354 31969168 32728234 32799228 35703528 35780976 35887467 35965314 37403696 37596394 38265766 39149964 41014248 41103216 41654116 41744472 41959533 42079158 43732304 45674958 45774036 47849956 47953752 49092351 49198842 51430082 52199952 53287451 53555292 55946044 56105544 56227248 56394591 57398649 60899944 61032048 61521372 62481174 62616708 65456468 65598456 68512437 71407056 71619577 71774934 71930628 72894703 75192788 76531532 77145123 78299928 82028496 83308232 83488944 83737423 83919066 84158316 91349916 91548072 93721761 95699912 95907504 98184702 98397684 102860164 106574902 107110584 107662401 111892088 112211088 112789182 114548819 114797298 121799888 123042744 124962348 125233416 125878599 130912936 131196912 131587379 137024874 143239154 143549868 143861256 145789406 147277053 150385576 153063064 154290246 156599856 159862353 166616464 167474846 167838132 168316632 169183773 172195947 180005287 182699832 183096144 187443522 191399824 196369404 196795368 205720328 213149804 214221168 214858731 215324802 218684109 223784176 225578364 229097638 229594596 231435369 246085488 249924696 250466832 251212269 251757198 261825872 263174758 274049748 286478308 287099736 287722512 291578812 294554106 300771152 306126128 308580492 319724706 334949692 335676264 336633264 338367546 343646457 344391894 360010574 365399664 374887044 392738808 393590736 394762137 411440656 426299608 429717462 430649604 437368218 451156728 458195276 459189192 462870738 479587059 499849392 501337039 502424538 503514396 526349516 540015861 548099496 572956616 574199472 583157624 586161961 589108212 617160984 639449412 644576193 656052327 669899384 671352528 676735092 687292914 688783788 720021148 749774088 753636807 785477616 787815347 789524274 801841733 852599216 859434924 861299208 874736436 902313456 916390552 918378384 921111653 925741476 959174118 1002674078 1004849076 1007028792 1030939371 1052699032 1080031722 1096198992 1145913232 1166315248 1172323922 1178216424 1184286411 1234321968 1260037009 1278898824 1289152386 1312104654 1339798768 1353470184 1374585828 1377567576 1440042296 1499548176 1504011117 1507273614 1575630694 1579048548 1603683466 1620047583 1718869848 1722598416 1749472872 1758485883 1832781104 1842223306 1851482952 1918348236 2005348156 2009698152 2014057584 2061878742 2105398064 2160063444 2344647844 2356432848 2363446041 2368572822 2405525199 2520074018 2557797648 2578304772 2624209308 2706940368 2749171656 2755135152 2763334959 2880084592 3008022234 3014547228 3151261388 3158097096 3207366932 3240095166 3437739696 3498945744 3509359273 3516971766 3684446612 3702965904 3780111027 3836696472 4010696312 4019396304 4123757484 4320126888 4512033351 4689295688 4726892082 4737145644 4811050398 5040148036 5156609544 5248418616 5275457649 5498343312 5514707429 5526669918 6016044468 6029094456 6302522776 6316194192 6414733864 6447781571 6480190332 7018718546 7033943532 7090338123 7216575597 7368893224 7560222054 7673392944 8021392624 8247514968 8290004877 8640253776 8665968817 8820259063 9024066702 9378591376 9453784164 9474291288 9622100796 10080296072 10313219088 10496837232 10528077819 10550915298 11029414858 11053339836 11340333081 12032088936 12058188912 12605045552 12829467728 12895563142 12960380664 14037437092 14067887064 14180676246 14433151194 14737786448 15120444108 16495029936 16544122287 16580009754 17331937634 17640518126 18048133404 18907568328 18948582576 19244201592 19343344713 20160592144 21056155638 21101830596 22058829716 22106679672 22680666162 24064177872 24565514911 25791126284 25920761328 25997906451 26460777189 28074874184 28135774128 28361352492 28866302388 30240888216 31584233457 33088244574 33160019508 34663875268 35281036252 36096266808 37815136656 38488403184 38602952003 38686689426 42112311276 42203661192 44117659432 44213359344 45361332324 49131029822 49632366861 51582252568 51995812902 52921554378 56149748368 56722704984 57732604776 58030034139 60481776432 60661781719 63168466914 66176489148 66320039016 69327750536 70562072504 72192533616 73696544733 77205904006 77373378852 77993719353 79382331567 84224622552 84407322384 88235318864 90722664648 98262059644 99264733722 103164505136 103991625804 105843108756 113445409968 115465209552 115808856009 116060068278 121323563438 126336933828 132352978296 132640078032 138655501072 141124145008 147393089466 154411808012 154746757704 155987438706 158764663134 168449245104 181445329296 181985345157 196524119288 198529467444 207983251608 211686217512 221089634199 231617712018 232120136556 242647126876 252673867656 264705956592 270220664021 294786178932 308823616024 309493515408 311974877412 317529326268 347426568027 363970690314 393048238576 397058934888 415966503216 423372435024 424632472033 442179268398 463235424036 464240273112 485294253752 505347735312 540441328042 545956035471 589572357864 617647232048 623949754824 635058652536 694853136054 727941380628 794117869776 810661992063 849264944066 884358536796 926470848072 928480546224 970588507504 1080882656084 1091912070942 1179144715728 1247899509648 1270117305072 1273897416099 1389706272108 1455882761256 1621323984126 1698529888132 1768717073592 1852941696144 2161765312168 2183824141884 2431985976189 2547794832198 2779412544216 2911765522512 2972427304231 3242647968252 3397059776264 3537434147184 3821692248297 4323530624336 4367648283768 4863971952378 5095589664396 5558825088432 5944854608462 6485295936504 6794119552528 7643384496594 8735296567536 8917281912693 9727943904756 10191179328792 11889709216924 12970591873008 15286768993188 17834563825386 19455887809512 20382358657584 23779418433848 26751845738079 30573537986376 35669127650772 38911775619024 47558836867696 53503691476158 61147075972752 71338255301544 107007382952316 142676510603088 214014765904632 428029531809264
- Sum of all divisors σ(n): 1543399370458400
- Sum of proper divisors (its aliquot sum) s(n): 1115369838649136
- 428029531809264 is an abundant number, because the sum of its proper divisors (1115369838649136) is greater than itself. Its abundance is 687340306839872
Bases of 428029531809264
- Binary: 11000010101001010011001000011001001100101111100002
- Hexadecimal: 0x1854A643265F0
- Base-36: 47Q21VUE40
Squares and roots of 428029531809264
- 428029531809264 squared (4280295318092642) is 183209280100857742405276221696
- 428029531809264 cubed (4280295318092643) is 78418982384682447030989733147854360850591744
-
The
square root of 428029531809264 is 20688874.5902058191 -
The
cube root of 428029531809264 is 75362.9536909347
Scales and comparisons
How big is 428029531809264?- 428,029,531,809,264 seconds is equal to 13,610,015 years, 6 weeks, 5 days, 1 hour, 14 minutes, 24 seconds.
-
To count from 1 to 428,029,531,809,264 would take you about thirty-four million, twenty-five thousand and thirty-seven 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 428029531809264 cubic inches would be around 6280.2 feet tall.
Recreational maths with 428029531809264
- 428029531809264 backwards is 462908135920824
- 428029531809264 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428029531809264's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428029531809264 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 428029531809264 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/428029531809264/
Chicago style:
Numbermatics. 2024. "Number 428029531809264 - Facts about the integer". https://numbermatics.com/n/428029531809264/
The information we have on file for 428029531809264 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 428029531809264, math, Factors of 428029531809264, curriculum, school, college, exams, university, Prime factorization of 428029531809264, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, twenty-nine billion, five hundred thirty-one million, eight hundred nine thousand, two hundred sixty-four.