428122943441424
428,122,943,441,424 is an even composite number composed of five prime numbers multiplied together.
What does the number 428122943441424 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 945 divisors.
428122943441424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred forty-five divisors.
Prime factorization of 428122943441424:
24 × 32 × 76 × 112 × 4572
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 457 × 457)See below for interesting mathematical facts about the number 428122943441424 from the Numbermatics database.
Names of 428122943441424
- Cardinal: 428122943441424 can be written as Four hundred twenty-eight trillion, one hundred twenty-two billion, nine hundred forty-three million, four hundred forty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 4.28122943441424 × 1014
Factors of 428122943441424
Divisors of 428122943441424
- Number of divisors d(n): 945
-
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 99 112 121 126 132 144 147 154 168 176 196 198 231 242 252 264 294 308 336 343 363 392 396 441 457 462 484 504 528 539 588 616 686 693 726 784 792 847 882 914 924 968 1008 1029 1078 1089 1176 1232 1371 1372 1386 1452 1584 1617 1694 1764 1828 1848 1936 2058 2156 2178 2352 2401 2541 2742 2744 2772 2904 3087 3199 3234 3388 3528 3656 3696 3773 4113 4116 4312 4356 4802 4851 5027 5082 5484 5488 5544 5808 5929 6174 6398 6468 6776 7056 7203 7312 7546 7623 8226 8232 8624 8712 9597 9604 9702 10054 10164 10968 11088 11319 11858 12348 12796 12936 13552 14406 15081 15092 15246 16452 16464 16807 17424 17787 19194 19208 19404 20108 20328 21609 21936 22393 22638 23716 24696 25592 25872 26411 28791 28812 30162 30184 30492 32904 33614 33957 35189 35574 38388 38416 38808 40216 40656 41503 43218 44786 45243 45276 47432 49392 50421 51184 52822 53361 55297 57582 57624 60324 60368 60984 65808 67179 67228 67914 70378 71148 76776 77616 79233 80432 83006 86436 89572 90486 90552 94864 100842 105567 105644 106722 110594 115164 115248 117649 120648 121968 124509 134358 134456 135828 140756 142296 151263 153552 156751 158466 165891 166012 172872 179144 180972 181104 184877 201537 201684 208849 211134 211288 213444 221188 230328 235298 237699 241296 246323 249018 268716 268912 271656 281512 284592 290521 302526 313502 316701 316932 331782 332024 345744 352947 358288 361944 369754 373527 387079 403074 403368 417698 422268 422576 426888 442376 460656 470253 470596 475398 492646 497673 498036 537432 543312 554631 563024 581042 605052 626547 627004 633402 633864 663564 664048 705894 723888 738969 739508 747054 774158 806148 806736 835396 844536 853776 871563 884752 940506 941192 950796 985292 995346 996072 1058841 1074864 1097257 1109262 1161237 1162084 1210104 1253094 1254008 1266804 1267728 1294139 1327128 1410759 1411788 1461943 1477938 1479016 1494108 1548316 1612296 1663893 1670792 1689072 1724261 1743126 1879641 1881012 1882384 1901592 1970584 1990692 1992144 2033647 2117682 2194514 2216907 2218524 2297339 2322474 2324168 2420208 2506188 2508016 2533608 2588278 2614689 2654256 2709553 2821518 2823576 2923886 2955876 2958032 2988216 3096632 3224592 3291771 3327786 3341584 3448522 3483711 3486252 3759282 3762024 3803184 3882417 3941168 3981384 4067294 4235364 4385829 4389028 4433814 4437048 4594678 4644948 4648336 5012376 5067216 5172783 5176556 5229378 5419106 5643036 5647152 5847772 5911752 5976432 6100941 6193264 6583542 6655572 6892017 6897044 6967422 6972504 7518564 7524048 7680799 7764834 7962768 8128659 8134588 8470728 8771658 8778056 8867628 8874096 9189356 9289896 9875313 10024752 10233601 10345566 10353112 10458756 10838212 11286072 11647251 11695544 11823504 12069827 12201882 13157487 13167084 13311144 13784034 13794088 13934844 13945008 14235529 15037128 15361598 15518349 15529668 16081373 16257318 16269176 16941456 17543316 17556112 17735256 18302823 18378712 18579792 18966871 19750626 20467202 20676051 20691132 20706224 20917512 21676424 22572144 23042397 23294502 23391088 24139654 24385977 24403764 25270729 26314974 26334168 26622288 27568068 27588176 27869688 28471058 30074256 30700803 30723196 31036698 31059336 32162746 32514636 32538352 35086632 35470512 36209481 36605646 36757424 37933742 39501252 40934404 41352102 41382264 41835024 42706587 43352848 46084794 46589004 48244119 48279308 48771954 48807528 50541458 52629948 52668336 53765593 55136136 55739376 56900613 56942116 61401606 61446392 62073396 62118672 64325492 65029272 69127191 70173264 71635207 72418962 73211292 75812187 75867484 79002504 81868808 82704204 82764528 84488789 85413174 92102409 92169588 93178008 96488238 96558616 97543908 97615056 101082916 105259896 107531186 108628443 110272272 112569611 113801226 113884232 122803212 122892784 124146792 128119761 128650984 130058544 132768097 138254382 143270414 144732357 144837924 146422584 151624374 151734968 158005008 161296779 163737616 165408408 168977578 170701839 170826348 176895103 184204818 184339176 186356016 192976476 193117232 195087816 202165832 210519792 214905621 215062372 217256886 225139222 227436561 227602452 227768464 245606424 248293584 253466367 256239522 257301968 265536194 276508764 286540828 289464714 289675848 292845168 303248748 303469936 322593558 330816816 337708833 337955156 341403678 341652696 353790206 368409636 368678352 385952952 390175632 398304291 404331664 429811242 430124744 434513772 450278444 454873122 455204904 483890337 491212848 501446449 506932734 512479044 530685309 531072388 553017528 573081656 578929428 579351696 591421523 606497496 644716863 645187116 675417666 675910312 682807356 683305392 707580412 736819272 760399101 771905904 787987277 796608582 859622484 860249488 869027544 900556888 909746244 910409808 929376679 967780674 1002892898 1013126499 1013865468 1024958088 1061370618 1062144776 1106035056 1146163312 1157858856 1182843046 1194912873 1212994992 1238265721 1289433726 1290374232 1350835332 1351820624 1365614712 1415160824 1473638544 1504339347 1520798202 1575974554 1592055927 1593217164 1719244968 1738055088 1774264569 1801113776 1819492488 1858753358 1935561348 2005785796 2026252998 2027730936 2049916176 2122741236 2124289552 2315717712 2363961831 2365686092 2389825746 2476531442 2578867452 2580748464 2701670664 2731229424 2788130037 2830321648 3008678694 3041596404 3151949108 3184111854 3186434328 3438489936 3510125143 3548529138 3638984976 3714797163 3717506716 3871122696 4011571592 4052505996 4055461872 4245482472 4513018041 4727923662 4731372184 4779651492 4953062884 5157734904 5322793707 5403341328 5515910939 5576260074 6017357388 6083192808 6303898216 6368223708 6372868656 6505636753 7020250286 7091885493 7097058276 7429594326 7435013432 7742245392 8023143184 8105011992 8364390111 8490964944 8667860047 9026036082 9455847324 9462744368 9559302984 9906125768 10315469808 10530375429 10645587414 11031821878 11144391489 11152520148 12034714776 12166385616 12607796432 12736447416 13011273506 14040500572 14183770986 14194116552 14859188652 14870026864 16210023984 16547732817 16728780222 17335720094 18052072164 18911694648 19118605968 19516910259 19812251536 21060750858 21291174828 22063643756 22288782978 22305040296 24069429552 24570876001 25472894832 26003580141 26022547012 28081001144 28367541972 28388233104 29718377304 31591126287 33095465634 33457560444 34671440188 36104144328 37823389296 38611376573 39033820518 42121501716 42582349656 44127287512 44577565956 44610080592 49141752002 49643198451 52007160282 52045094024 56162002288 56735083944 58550730777 59436754608 60675020329 63182252574 66190931268 66915120888 69342880376 72208288656 73712628003 77222753146 78010740423 78067641036 84243003432 85164699312 88254575024 89155131912 98283504004 99286396902 104014320564 104090188048 113470167888 115834129719 117101461554 121350040658 126364505148 132381862536 133830241776 138685760752 147425256006 154445506292 156021480846 156135282072 168486006864 178310263824 182025060987 196567008008 198572793804 208028641128 221137884009 231668259438 234202923108 242700081316 252729010296 264763725072 270279636011 294850512012 308891012584 312042961692 312270564144 347502389157 364050121974 393134016016 397145587608 416057282256 424725142303 442275768018 463336518876 468405846216 485400162632 505458020592 540559272022 546075182961 589701024024 617782025168 624085923384 695004778314 728100243948 794291175216 810838908033 849450284606 884551536036 926673037752 936811692432 970800325264 1081118544044 1092150365922 1179402048048 1248171846768 1274175426909 1390009556628 1456200487896 1621677816066 1698900569212 1769103072072 1853346075504 2162237088088 2184300731844 2432516724099 2548350853818 2780019113256 2912400975792 2973075996121 3243355632132 3397801138424 3538206144144 3822526280727 4324474176176 4368601463688 4865033448198 5096701707636 5560038226512 5946151992242 6486711264264 6795602276848 7645052561454 8737202927376 8919227988363 9730066896396 10193403415272 11892303984484 12973422528528 15290105122908 17838455976726 19460133792792 20386806830544 23784607968968 26757683965089 30580210245816 35676911953452 38920267585584 47569215937936 53515367930178 61160420491632 71353823906904 107030735860356 142707647813808 214061471720712 428122943441424
- Sum of all divisors σ(n): 1539837679335501
- Sum of proper divisors (its aliquot sum) s(n): 1111714735894077
- 428122943441424 is an abundant number, because the sum of its proper divisors (1111714735894077) is greater than itself. Its abundance is 683591792452653
Bases of 428122943441424
- Binary: 11000010101100000001000111111011011001010000100002
- Hexadecimal: 0x1856023F6CA10
- Base-36: 47R8YQPUS0
Squares and roots of 428122943441424
- 428122943441424 squared (4281229434414242) is 183289254700948733176519147776
- 428122943441424 cubed (4281229434414243) is 78470335223755032506764709635424813055873024
-
428122943441424 is a
perfect square number . Itssquare root is 20691132 -
The
cube root of 428122943441424 is 75368.4356058773
Scales and comparisons
How big is 428122943441424?- 428,122,943,441,424 seconds is equal to 13,612,985 years, 17 weeks, 1 day, 4 hours, 50 minutes, 24 seconds.
-
To count from 1 to 428,122,943,441,424 would take you about thirty-four million, thirty-two 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 428122943441424 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428122943441424
- 428122943441424 backwards is 424144349221824
- The number of decimal digits it has is: 15
- The sum of 428122943441424's digits is 54
- More coming soon!
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The information we have on file for 428122943441424 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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