428838520968
428,838,520,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 428838520968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
428838520968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 428838520968:
23 × 35 × 114 × 13 × 19 × 61
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 13 × 19 × 61)See below for interesting mathematical facts about the number 428838520968 from the Numbermatics database.
Names of 428838520968
- Cardinal: 428838520968 can be written as Four hundred twenty-eight billion, eight hundred thirty-eight million, five hundred twenty thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.28838520968 × 1011
Factors of 428838520968
Divisors of 428838520968
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 27 33 36 38 39 44 52 54 57 61 66 72 76 78 81 88 99 104 108 114 117 121 122 132 143 152 156 162 171 183 198 209 216 228 234 242 243 244 247 264 286 297 312 324 342 351 363 366 396 418 429 456 468 484 486 488 494 513 549 572 594 627 648 671 684 702 726 732 741 792 793 836 858 891 936 968 972 988 1026 1053 1089 1098 1144 1159 1188 1254 1287 1331 1342 1368 1404 1452 1464 1482 1539 1573 1586 1647 1672 1716 1782 1881 1944 1976 2013 2052 2106 2178 2196 2223 2299 2318 2376 2379 2508 2574 2662 2673 2684 2717 2808 2904 2964 3078 3146 3159 3172 3267 3294 3432 3477 3564 3762 3861 3993 4026 4104 4212 4356 4392 4446 4598 4617 4636 4719 4758 4941 5016 5148 5324 5346 5368 5434 5643 5928 6039 6156 6292 6318 6344 6534 6588 6669 6897 6954 7128 7137 7381 7524 7722 7986 8052 8151 8424 8712 8723 8892 9196 9234 9272 9438 9516 9801 9882 10296 10431 10648 10692 10868 11286 11583 11979 12078 12312 12584 12636 12749 13068 13176 13338 13794 13908 14157 14274 14641 14762 14823 15048 15067 15444 15972 16104 16302 16929 17303 17446 17784 18117 18392 18468 18876 19032 19602 19764 20007 20691 20862 21384 21411 21736 22143 22572 23166 23958 24156 24453 25272 25289 25498 26136 26169 26676 27588 27816 28314 28548 29282 29403 29524 29646 29887 30134 30888 31293 31944 32604 33858 34606 34749 34892 35937 36234 36936 37752 38247 39204 39528 40014 41382 41724 42471 42822 43923 44286 45144 45201 46332 47916 48312 48906 50578 50787 50996 51909 52338 53352 54351 55176 56628 57096 58564 58806 59048 59292 59774 60021 60268 62073 62586 64233 65208 66429 67716 69212 69498 69784 71874 72468 73359 75867 76494 78408 78507 80028 81191 82764 83448 84942 85644 87846 88572 89661 90402 92664 93879 95832 95953 97812 101156 101574 101992 103818 104676 107811 108702 113256 114741 117128 117612 118584 119548 120042 120536 124146 125172 127413 128466 131769 132858 135432 135603 138424 138996 140239 143748 144936 146718 151734 152988 155727 157014 160056 162382 163053 165528 165737 169884 171288 175692 177144 179322 180804 186219 187758 190333 191906 192699 195624 199287 202312 203148 207636 209352 215622 217404 220077 227601 229482 235224 235521 239096 240084 243573 248292 250344 254826 256932 263538 265716 268983 271206 277992 278179 280478 281637 287496 287859 293436 303468 305976 311454 314028 323433 324764 326106 328757 331474 339768 344223 351384 358644 361608 372438 375516 380666 382239 383812 385398 395307 398574 406296 406809 415272 420717 431244 434808 440154 455202 458964 467181 471042 480168 487146 496584 497211 509652 513864 527076 531432 537966 542412 556358 558657 560956 563274 570999 575718 586872 597861 606936 622908 628056 646866 649528 652212 657514 660231 662948 682803 688446 706563 717288 730719 744876 751032 761332 764478 767624 770796 790614 797148 806949 813618 834537 841434 862488 863577 880308 893101 910404 917928 934362 942084 974292 986271 994422 1019304 1032669 1054152 1055483 1075932 1084824 1112716 1117314 1121912 1126548 1141998 1151436 1185921 1195722 1220427 1245816 1262151 1293732 1304424 1315028 1320462 1325896 1365606 1376892 1401543 1413126 1461438 1489752 1491633 1522664 1528956 1541592 1542629 1581228 1594296 1613898 1627236 1669074 1682868 1712997 1727154 1760616 1786202 1793583 1820808 1823107 1868724 1884168 1948584 1972542 1988844 2048409 2065338 2110966 2119689 2151864 2192157 2225432 2234628 2253096 2283996 2302872 2371842 2391444 2420847 2440854 2503611 2524302 2587464 2590731 2630056 2640924 2679303 2731212 2753784 2803086 2826252 2922876 2958813 2983266 3057912 3085258 3098007 3162456 3166449 3227796 3254472 3338148 3365736 3425994 3454308 3557763 3572404 3587166 3616327 3646214 3661281 3737448 3786453 3945084 3977688 4096818 4130676 4204629 4221932 4239378 4384314 4469256 4474899 4567992 4627887 4743684 4782888 4841694 4881708 5007222 5048604 5138991 5181462 5281848 5358606 5462424 5469321 5606172 5652504 5845752 5917626 5966532 6145227 6170516 6196014 6332898 6455592 6576471 6676296 6851988 6908616 7115526 7144808 7174332 7232654 7262541 7292428 7322562 7510833 7572906 7772193 7890168 8037909 8193636 8261352 8409258 8443864 8478756 8768628 8876439 8949798 9255774 9487368 9499347 9683388 9763416 10014444 10097208 10277982 10362924 10717212 10848981 10938642 11212344 11359359 11610313 11835252 11933064 12290454 12341032 12392028 12665796 13152942 13424697 13703976 13883661 14231052 14348664 14465308 14525082 14584856 14645124 15021666 15145812 15416973 15544386 16075818 16387272 16407963 16818516 16957512 16968919 17537256 17752878 17899596 18511548 18998694 19366776 19729413 20028888 20054177 20555964 20725848 21434424 21697962 21877284 22532499 22718718 23220626 23316579 23670504 24113727 24580908 24784056 25331592 26305884 26629317 26849394 27767322 28462104 28498041 28930616 29050164 29290248 30043332 30291624 30833946 31088772 32151636 32546943 32815926 33637032 33937838 34078077 34830939 35505756 35799192 37023096 37997388 39458826 40108354 40274091 41111928 41650983 43395924 43754568 45064998 45437436 46250919 46441252 46633158 48227454 49161816 49223889 50906757 52611768 53258634 53698788 55534644 56996082 58100328 60086664 60162531 61667892 62177544 64303272 65093886 65631852 67597497 67875676 68156154 69661878 71011512 72341181 75994776 78917652 79887951 80216708 80548182 83301966 85494123 86791848 90129996 90874872 92501838 92882504 93266316 96454908 97640829 98447778 101813514 104492817 106517268 107397576 111069288 113992164 120325062 123335784 124952949 130187772 131263704 135194994 135751352 136312308 139323756 144682362 147671667 152720271 157835304 159775902 160433416 161096364 166603932 170988246 180259992 180487593 185003676 186532632 192909816 195281658 196895556 203627028 208985634 213034536 217023543 220595947 227984328 240650124 249905898 256482369 260375544 270389988 272624616 278647512 289364724 292922487 295343334 305440542 313478451 319551804 322192728 333207864 341976492 360975186 370007352 374858847 390563316 393791112 407254056 417971268 434047086 441191894 443015001 458160813 481300248 499811796 512964738 540779976 541462779 578729448 585844974 590686668 610881084 626956902 639103608 661787841 683952984 721950372 749717694 781126632 835942536 868094172 878767461 882383788 886030002 916321626 940435353 999623592 1025929476 1082925558 1171689948 1181373336 1221762168 1253913804 1323575682 1374482439 1443900744 1499435388 1624388337 1736188344 1757534922 1764767576 1772060004 1832643252 1880870706 1985363523 2051858952 2165851116 2343379896 2507827608 2647151364 2748964878 2821306059 2998870776 3248776674 3515069844 3544120008 3665286504 3761741412 3970727046 4123447317 4331702232 4873165011 5294302728 5497929756 5642612118 5956090569 6497553348 7030139688 7523482824 7941454092 8246894634 9746330022 10995859512 11285224236 11912181138 12995106696 15882908184 16493789268 17868271707 19492660044 22570448472 23824362276 32987578536 35736543414 38985320088 47648724552 53604815121 71473086828 107209630242 142946173656 214419260484 428838520968
- Sum of all divisors σ(n): 1526522088000
- Sum of proper divisors (its aliquot sum) s(n): 1097683567032
- 428838520968 is an abundant number, because the sum of its proper divisors (1097683567032) is greater than itself. Its abundance is 668845046064
Bases of 428838520968
- Binary: 1100011110110001100010010001000100010002
- Hexadecimal: 0x63D8C48888
- Base-36: 5H07DSI0
Squares and roots of 428838520968
- 428838520968 squared (4288385209682) is 183902477066021775657024
- 428838520968 cubed (4288385209683) is 78864466267344318360439278600479232
-
The
square root of 428838520968 is 654857.6341221045 -
The
cube root of 428838520968 is 7541.0403253721
Scales and comparisons
How big is 428838520968?- 428,838,520,968 seconds is equal to 13,635 years, 38 weeks, 2 days, 19 hours, 22 minutes, 48 seconds.
-
To count from 1 to 428,838,520,968 would take you about twenty-seven thousand, two hundred seventy-one 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 428838520968 cubic inches would be around 628.4 feet tall.
Recreational maths with 428838520968
- 428838520968 backwards is 869025838824
- The number of decimal digits it has is: 12
- The sum of 428838520968'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 428838520968 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 428838520968 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/428838520968/
Chicago style:
Numbermatics. 2024. "Number 428838520968 - Facts about the integer". https://numbermatics.com/n/428838520968/
The information we have on file for 428838520968 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 428838520968, math, Factors of 428838520968, curriculum, school, college, exams, university, Prime factorization of 428838520968, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, eight hundred thirty-eight million, five hundred twenty thousand, nine hundred sixty-eight.