428024289420
428,024,289,420 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428024289420 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
428024289420 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 428024289420:
22 × 33 × 5 × 72 × 13 × 19 × 79 × 829
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 19 × 79 × 829)See below for interesting mathematical facts about the number 428024289420 from the Numbermatics database.
Names of 428024289420
- Cardinal: 428024289420 can be written as Four hundred twenty-eight billion, twenty-four million, two hundred eighty-nine thousand, four hundred twenty.
Scientific notation
- Scientific notation: 4.2802428942 × 1011
Factors of 428024289420
Divisors of 428024289420
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 19 20 21 26 27 28 30 35 36 38 39 42 45 49 52 54 57 60 63 65 70 76 78 79 84 90 91 95 98 105 108 114 117 126 130 133 135 140 147 156 158 171 180 182 189 190 195 196 210 228 234 237 245 247 252 260 266 270 273 285 294 315 316 342 351 364 378 380 390 395 399 420 441 455 468 474 490 494 513 532 540 546 553 570 585 588 630 637 665 684 702 711 735 741 756 780 790 798 819 829 855 882 910 931 945 948 980 988 1026 1027 1092 1106 1140 1170 1185 1197 1235 1260 1274 1323 1330 1365 1404 1422 1470 1482 1501 1580 1596 1638 1658 1659 1710 1729 1755 1764 1820 1862 1890 1911 1995 2052 2054 2133 2205 2212 2223 2340 2370 2394 2457 2470 2487 2548 2565 2646 2660 2730 2765 2793 2844 2940 2964 3002 3081 3185 3276 3316 3318 3420 3458 3510 3555 3591 3705 3724 3780 3822 3871 3990 4095 4108 4145 4266 4410 4446 4503 4655 4740 4788 4914 4940 4974 4977 5130 5135 5187 5292 5460 5530 5586 5733 5803 5985 6004 6162 6370 6615 6636 6669 6916 7020 7110 7182 7189 7410 7461 7505 7644 7742 7980 8190 8290 8295 8379 8532 8645 8820 8892 9006 9243 9310 9555 9828 9948 9954 10260 10270 10374 10507 10665 10777 11060 11115 11172 11466 11606 11613 11970 12103 12285 12324 12435 12740 13230 13338 13509 13965 14220 14364 14378 14820 14922 14931 15010 15405 15484 15561 15751 16380 16580 16590 16758 17199 17290 17409 17955 18012 18486 18620 19110 19355 19513 19908 20540 20748 21014 21330 21554 21567 22230 22383 22515 22932 23212 23226 23940 24206 24570 24870 24885 25137 25935 26460 26676 27018 27729 27930 28665 28756 29015 29844 29862 30020 30810 31122 31502 31521 32331 33180 33345 33516 34398 34580 34818 34839 35910 35945 36309 36972 37305 38220 38710 39026 40527 40621 41895 42028 42660 43108 43134 44460 44766 45030 46215 46452 46683 47253 48412 49140 49740 49770 50274 50323 51870 52227 52535 53885 54036 55458 55860 57330 58030 58065 58539 59724 60515 61620 62244 63004 63042 64662 64701 65491 66690 67545 68796 69636 69678 71820 71890 72618 73549 74610 74655 75439 77420 77805 78052 78755 81054 81242 83790 85995 86268 87045 89532 90060 92430 93366 94506 94563 96993 97565 99540 100548 100646 103740 104454 104517 105070 107770 107835 108927 110257 110916 111915 114660 116060 116130 117078 121030 121863 125685 126084 129324 129402 130982 133380 135090 136591 138645 139356 141759 143780 145236 147098 149220 149310 150878 150969 155610 156681 157510 157605 161655 162108 162484 167580 171990 174090 174195 175617 181545 184860 186732 189012 189126 193986 194103 195130 196473 201292 202635 203105 204763 208908 209034 210140 215540 215670 217854 220514 220647 223830 226317 232260 233415 234156 236265 242060 243726 251370 251615 258804 261135 261964 270180 273182 277290 283518 283689 290979 292695 294196 298620 301756 301938 311220 313362 315020 315210 323310 323505 326781 327455 330771 343980 348180 348390 351234 363090 365589 367745 377195 378252 387972 388206 390260 392946 405270 406210 409526 409773 418068 425277 431340 435708 441028 441294 447660 452634 452907 458437 466830 472530 472815 484965 487452 502740 503230 522270 522585 526851 528073 544635 546364 551285 554580 567036 567378 581958 585390 589419 603876 609315 614289 626724 630420 646620 647010 653562 654910 661542 661941 678951 682955 696780 702468 708795 726180 731178 735490 754390 754845 771799 776412 783405 785892 810540 812420 819052 819546 850554 851383 878085 882588 905268 905814 916874 933660 945060 945630 956137 969930 970515 982365 992313 1006460 1023815 1044540 1045170 1053702 1056146 1089270 1096767 1102570 1103235 1131585 1134756 1163916 1170780 1178838 1218630 1228578 1229319 1244329 1294020 1307124 1309820 1323084 1323882 1357902 1358721 1365910 1375311 1417590 1418445 1433341 1454895 1462356 1470980 1508780 1509690 1543598 1566810 1584219 1633905 1639092 1653855 1701108 1702766 1756170 1768257 1811628 1827945 1833748 1842867 1891260 1912274 1939860 1941030 1964730 1984626 1985823 2036853 2047630 2048865 2090340 2107404 2112292 2126385 2178540 2193534 2205140 2206470 2263170 2264535 2292185 2315397 2357676 2437260 2457156 2458638 2488658 2554149 2634255 2640365 2647764 2715804 2717442 2731820 2750622 2835180 2836890 2866682 2868411 2909790 2947095 2976939 3019380 3071445 3087196 3133620 3168438 3209059 3267810 3307710 3309705 3394755 3405532 3512340 3536514 3655890 3685734 3687957 3732987 3824548 3858995 3882060 3929460 3969252 3971646 4073706 4095260 4097730 4125933 4252770 4256915 4300023 4387068 4412940 4526340 4529070 4584370 4630794 4752657 4780685 4917276 4961565 4977316 5108298 5268510 5280730 5434884 5483835 5501244 5528601 5673780 5733364 5736822 5819580 5894190 5953878 5959681 6142890 6146595 6221645 6336876 6418118 6535620 6615420 6619410 6789510 6793605 6876555 6946191 7073028 7166705 7311780 7371468 7375914 7465974 7662447 7717990 7921095 7943292 8147412 8195460 8251866 8505540 8513830 8600046 8605233 8710303 8841285 9058140 9168740 9214335 9261588 9505314 9561370 9627177 9923130 9929115 10033387 10184265 10216596 10537020 10561460 10967670 11057202 11198961 11473644 11576985 11788380 11907756 11919362 12285780 12293190 12377799 12443290 12770745 12836236 12900069 13238820 13579020 13587210 13753110 13892382 14257971 14333410 14342055 14751828 14884695 14931948 15324894 15435980 15842190 16045295 16176277 16503732 17027660 17200092 17210466 17420606 17682570 17879043 18428670 18439785 18664935 19010628 19122740 19254354 19846260 19858230 20066774 20368530 20629665 20838573 21500115 21935340 22114404 22397922 22987341 23153970 23763285 23838724 24586380 24755598 24886580 25541490 25800138 25815699 26130909 27174420 27506220 27643005 27784764 28515942 28666820 28684110 28881531 29769390 29798405 30100161 30649788 31684380 32090590 32352554 33596883 34420932 34730955 34841212 35365140 35758086 36857340 36879570 37329870 38312235 38508708 38700207 39716460 40133548 40737060 41259330 41677146 41717767 43000230 43026165 43551515 44795844 45974682 46307940 47526570 48135885 48528831 49511196 50166935 51082980 51600276 51631398 52261818 53637129 55286010 55994805 57031884 57368220 57763062 59538780 59596810 60200322 60972121 61888995 64181180 64500345 64705108 67193766 69461910 71289855 71516172 73759140 74659740 76624470 77400414 78392727 80881385 82518660 83354292 83435534 86000460 86052330 86644593 87103030 89395215 90300483 91949364 95053140 96271770 97057662 100333870 103262796 104192865 104523636 107274258 110572020 111989610 113233939 114936705 115526124 119193620 120400644 121944242 123777990 125153301 129000690 129078495 130654545 134387532 138923820 142579710 144407655 145586493 150500805 153248940 154800828 156785454 160911387 161762770 166871068 167984415 172104660 173289186 174206060 178790430 180600966 182916363 192543540 193501035 194115324 200667740 208385730 208588835 214548516 223979220 226467878 229873410 235178181 242644155 243888484 247555980 250306602 258001380 258156990 261309090 268185645 270901449 285159420 288815310 291172986 301001610 304860605 313570908 321822774 323525540 335968830 339701817 346578372 357580860 361201932 365832726 375459903 387002070 391963635 416771460 417177670 433222965 436759479 451502415 452935756 459746820 470356362 485288310 500613204 516313980 522618180 536371290 541802898 548749089 566169695 577630620 582345972 602003220 609721210 625766505 643645548 671937660 679403634 727932465 731665452 750919806 774004140 783927270 792637573 804556935 834355340 866445930 873518958 903004830 914581815 940712724 970576620 1019105451 1072742580 1083605796 1097498178 1126379709 1132339390 1175890905 1219442420 1251533010 1354507245 1358807268 1455864930 1501839612 1567854540 1585275146 1609113870 1646247267 1698509085 1732891860 1747037916 1806009660 1829163630 1877299515 2038210902 2183797395 2194996356 2252759418 2264678780 2351781810 2377912719 2503066020 2709014490 2743745445 2911729860 3057316353 3170550292 3218227740 3292494534 3397018170 3658327260 3754599030 3963187865 4076421804 4367594790 4505518836 4703563620 4755825438 5095527255 5418028980 5487490890 5631898545 6114632706 6584989068 6794036340 7133738157 7509198060 7926375730 8231236335 8735189580 9511650876 10191054510 10974981780 11263797090 11889563595 12229265412 14267476314 15286581765 15852751460 16462472670 20382109020 21401214471 22527594180 23779127190 28534952628 30573163530 32924945340 35668690785 42802428942 47558254380 61146327060 71337381570 85604857884 107006072355 142674763140 214012144710 428024289420
- Sum of all divisors σ(n): 1780369920000
- Sum of proper divisors (its aliquot sum) s(n): 1352345630580
- 428024289420 is an abundant number, because the sum of its proper divisors (1352345630580) is greater than itself. Its abundance is 924321341160
Bases of 428024289420
- Binary: 1100011101010000011110001011000100011002
- Hexadecimal: 0x63A83C588C
- Base-36: 5GMQLZF0
Squares and roots of 428024289420
- 428024289420 squared (4280242894202) is 183204792333495923936400
- 428024289420 cubed (4280242894203) is 78416101056883256507343979272888000
-
The
square root of 428024289420 is 654235.6528193797 -
The
cube root of 428024289420 is 7536.2646014693
Scales and comparisons
How big is 428024289420?- 428,024,289,420 seconds is equal to 13,609 years, 44 weeks, 19 hours, 57 minutes.
-
To count from 1 to 428,024,289,420 would take you about twenty-seven thousand, two hundred nineteen 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 428024289420 cubic inches would be around 628 feet tall.
Recreational maths with 428024289420
- 428024289420 backwards is 024982420824
- 428024289420 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428024289420's digits is 45
- More coming soon!
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The information we have on file for 428024289420 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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