428342098591872
428,342,098,591,872 is an even composite number composed of six prime numbers multiplied together.
What does the number 428342098591872 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
428342098591872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428342098591872:
27 × 32 × 17 × 372 × 892 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 37 × 37 × 89 × 89 × 2017)See below for interesting mathematical facts about the number 428342098591872 from the Numbermatics database.
Names of 428342098591872
- Cardinal: 428342098591872 can be written as Four hundred twenty-eight trillion, three hundred forty-two billion, ninety-eight million, five hundred ninety-one thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 4.28342098591872 × 1014
Factors of 428342098591872
Divisors of 428342098591872
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 64 68 72 74 89 96 102 111 128 136 144 148 153 178 192 204 222 267 272 288 296 306 333 356 384 408 444 534 544 576 592 612 629 666 712 801 816 888 1068 1088 1152 1184 1224 1258 1332 1369 1424 1513 1602 1632 1776 1887 2017 2136 2176 2368 2448 2516 2664 2738 2848 3026 3204 3264 3293 3552 3774 4034 4107 4272 4539 4736 4896 5032 5328 5476 5661 5696 6051 6052 6408 6528 6586 7104 7548 7921 8068 8214 8544 9078 9792 9879 10064 10656 10952 11322 11392 12102 12104 12321 12816 13172 13617 14208 15096 15842 16136 16428 17088 18153 18156 19584 19758 20128 21312 21904 22644 23273 23763 24204 24208 24642 25632 26344 27234 29637 30192 31684 32272 32856 34176 34289 36306 36312 39516 40256 42624 43808 45288 46546 47526 48408 48416 49284 51264 52688 54468 55981 59274 60384 63368 64544 65712 68578 69819 71289 72612 72624 74629 79032 80512 87616 90576 93092 95052 96816 96832 98568 102528 102867 105376 108936 111962 118548 120768 121841 126736 129088 131424 134657 137156 139638 142578 145224 145248 149258 158064 167943 175232 179513 181152 186184 190104 193632 193664 197136 205734 209457 210752 217872 223887 223924 237096 241536 243682 253472 258176 262848 269314 274312 279276 285156 290448 290496 293077 298516 308601 316128 335886 359026 362304 365523 372368 380208 387264 394272 403971 411468 418914 421504 435744 447774 447848 474192 487364 503829 506944 525696 538539 538628 548624 558552 570312 580896 580992 586154 597032 617202 632256 671661 671772 718052 724608 731046 744736 760416 774528 788544 807942 822936 837828 871488 879231 895548 895696 948384 974728 1007658 1013888 1077078 1077256 1096569 1097248 1117104 1140624 1161792 1172308 1194064 1211913 1234404 1264512 1268693 1343322 1343544 1436104 1462092 1489472 1520832 1577088 1615617 1615884 1645872 1675656 1742976 1758462 1791096 1791392 1896768 1949456 2015316 2071297 2154156 2154512 2193138 2194496 2234208 2281248 2323584 2344616 2388128 2423826 2468808 2537386 2637693 2686644 2687088 2761273 2872208 2924184 2978944 3041664 3051721 3231234 3231768 3291744 3351312 3516924 3582192 3582784 3793536 3806079 3898912 4030632 4142594 4308312 4309024 4386276 4388992 4468416 4562496 4689232 4776256 4847652 4937616 4982309 5074772 5275386 5373288 5374176 5522546 5744416 5848368 6103442 6213891 6462468 6463536 6583488 6641981 6702624 7033848 7164384 7165568 7612158 7797824 8061264 8283819 8285188 8616624 8618048 8772552 8936832 9124992 9155163 9378464 9552512 9695304 9875232 9964618 10149544 10550772 10746576 10748352 10843849 11045092 11418237 11488832 11696736 12206884 12427782 12924936 12927072 13166976 13283962 13405248 14067696 14328768 14946927 15224316 15595648 15976657 16122528 16567638 16570376 17233248 17236096 17545104 18310326 18641673 18756928 19390608 19750464 19925943 19929236 20299088 21101544 21493152 21496704 21687698 22090184 22836474 22977664 23393472 24413768 24851457 24855564 25849872 25854144 26567924 26810496 27465489 28135392 28657536 29893854 30448632 31953314 32245056 32531547 33135276 33140752 34466496 35090208 36620652 37283346 37513856 38781216 39500928 39851886 39858472 40598176 42203088 42986304 43375396 44180368 44840781 45672948 46786944 46941641 47929971 48827536 49702914 49711128 51699744 51708288 53135848 54930978 56270784 59777829 59787708 60897264 63906628 64490112 65063094 66270552 66281504 68932992 70180416 73241304 74566692 77562432 79703772 79716944 81196352 84406176 85972608 86750792 88360736 89681562 91345896 93883282 95859942 97594641 97655072 99405828 99422256 103399488 106271696 109861956 112541568 112913677 119555658 119575416 121794528 127813256 130126188 132541104 132563008 140360832 140824923 143789913 146482608 149133384 155124864 159407544 159433888 162392704 168812352 173501584 176721472 179363124 182691792 184345433 187766564 191719884 195189282 195310144 198811656 198844512 206798976 212543392 219723912 225827354 239111316 239150832 243589056 245753297 255626512 260252376 265082208 265126016 271603169 281649846 287579826 292965216 298266768 318815088 318867776 337624704 338741031 347003168 353442944 358726248 365383584 368690866 375533128 383439768 390378564 390620288 397623312 397689024 422474769 425086784 439447824 451654708 478222632 478301664 487178112 491506594 511253024 520504752 530164416 543206338 553036299 563299692 575159652 585930432 591136309 596533536 637630176 637735552 677482062 694006336 717452496 730767168 737259891 737381732 751066256 766879536 780757128 795246624 795378048 814809507 844949538 850173568 878895648 903309416 956445264 956603328 983013188 1016223093 1022506048 1041009504 1060328832 1086412676 1106072598 1126599384 1150319304 1171860864 1182272618 1193067072 1275260352 1354964124 1388012672 1434904992 1461534336 1474519782 1474763464 1502132512 1533759072 1561514256 1590493248 1629619014 1659108897 1689899076 1757791296 1773408927 1806618832 1912890528 1913206656 1966026376 2032446186 2045012096 2082019008 2172825352 2211779673 2212145196 2253198768 2300638608 2364545236 2386134144 2444428521 2550520704 2709928248 2869809984 2949039564 2949526928 3004265024 3067518144 3123028512 3180986496 3259238028 3318217794 3379798152 3515582592 3546817854 3613237664 3825781056 3932052752 4064892372 4164038016 4177806049 4345650704 4423559346 4424290392 4506397536 4601277216 4729090472 4888857042 5320226781 5419856496 5739619968 5898079128 5899053856 6008530048 6135036288 6246057024 6518476056 6636435588 6759596304 7093635708 7226475328 7651562112 7864105504 8129784744 8355612098 8691301408 8847118692 8848580784 9012795072 9202554432 9458180944 9777714084 10049317253 10640453562 10839712992 11796158256 11798107712 12492114048 12533418147 13036952112 13272871176 13519192608 14187271416 14452950656 15728211008 16259569488 16711224196 17382602816 17694237384 17697161568 18025590144 18405108864 18916361888 19555428168 20098634506 21280907124 21679425984 21872043433 23592316512 23596215424 25066836294 26073904224 26545742352 27038385216 28374542832 30147951759 31456422016 32519138976 33422448392 34765205632 35388474768 35394323136 37600254441 37832723776 39110856336 40197269012 42561814248 43358851968 43744086866 47184633024 50133672588 52147808448 53091484704 54076770432 56749085664 60295903518 65038277952 65616130299 66844896784 70776949536 70788646272 75200508882 75665447552 78221712672 80394538024 85123628496 87488173732 90443855277 94369266048 100267345176 104295616896 106182969408 113498171328 120591807036 130076555904 131232260598 133689793568 141553899072 150401017764 156443425344 160789076048 170247256992 174976347464 180887710554 196848390897 200534690352 212365938816 226996342656 241183614072 262464521196 267379587136 283107798144 300802035528 312886850688 321578152096 340494513984 349952694928 361775421108 371824738361 393696781794 401069380704 482367228144 524929042392 534759174272 601604071056 643156304192 680989027968 699905389856 723550842216 743649476722 787393563588 802138761408 964734456288 1049858084784 1115474215083 1203208142112 1286312608384 1399810779712 1447101684432 1487298953444 1574787127176 1604277522816 1929468912576 2099716169568 2230948430166 2406416284224 2799621559424 2894203368864 2974597906888 3149574254352 3346422645249 3858937825152 4199432339136 4461896860332 4812832568448 5788406737728 5949195813776 6299148508704 6692845290498 8398864678272 8923793720664 11576813475456 11898391627552 12598297017408 13385690580996 17847587441328 23796783255104 25196594034816 26771381161992 35695174882656 47593566510208 53542762323984 71390349765312 107085524647968 142780699530624 214171049295936 428342098591872
- Sum of all divisors σ(n): 1357244307766620
- Sum of proper divisors (its aliquot sum) s(n): 928902209174748
- 428342098591872 is an abundant number, because the sum of its proper divisors (928902209174748) is greater than itself. Its abundance is 500560110582876
Bases of 428342098591872
- Binary: 11000010110010011001010101010000100000000100000002
- Hexadecimal: 0x185932AA10080
- Base-36: 47U1N61B40
Squares and roots of 428342098591872
- 428342098591872 squared (4283420985918722) is 183476953426088992805224464384
- 428342098591872 cubed (4283420985918723) is 78590903273774118491102896784782651815886848
-
The
square root of 428342098591872 is 20696427.1938871615 -
The
cube root of 428342098591872 is 75381.2937217491
Scales and comparisons
How big is 428342098591872?- 428,342,098,591,872 seconds is equal to 13,619,953 years, 40 weeks, 6 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 428,342,098,591,872 would take you about thirty-four million, forty-nine thousand, eight hundred eighty-four 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 428342098591872 cubic inches would be around 6281.8 feet tall.
Recreational maths with 428342098591872
- 428342098591872 backwards is 278195890243824
- 428342098591872 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428342098591872's digits is 72
- More coming soon!
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The information we have on file for 428342098591872 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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