428133908551680
428,133,908,551,680 is an even composite number composed of seven prime numbers multiplied together.
428133908551680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 428133908551680:
211 × 34 × 5 × 29 × 41 × 53 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 41 × 53 × 8191)See below for interesting mathematical facts about the number 428133908551680 from the Numbermatics database.
Names of 428133908551680
- Cardinal: 428133908551680 can be written as Four hundred twenty-eight trillion, one hundred thirty-three billion, nine hundred eight million, five hundred fifty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2813390855168 × 1014
Factors of 428133908551680
Divisors of 428133908551680
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 41 45 48 53 54 58 60 64 72 80 81 82 87 90 96 106 108 116 120 123 128 135 144 145 159 160 162 164 174 180 192 205 212 216 232 240 246 256 261 265 270 288 290 318 320 324 328 348 360 369 384 405 410 424 432 435 464 477 480 492 512 522 530 540 576 580 615 636 640 648 656 696 720 738 768 783 795 810 820 848 864 870 928 954 960 984 1024 1044 1060 1080 1107 1152 1160 1189 1230 1272 1280 1296 1305 1312 1392 1431 1440 1476 1536 1537 1566 1590 1620 1640 1696 1728 1740 1845 1856 1908 1920 1968 2048 2088 2120 2160 2173 2214 2304 2320 2349 2378 2385 2460 2544 2560 2592 2610 2624 2784 2862 2880 2952 3072 3074 3132 3180 3240 3280 3321 3392 3456 3480 3567 3690 3712 3816 3840 3915 3936 4176 4240 4293 4320 4346 4428 4608 4611 4640 4698 4756 4770 4920 5088 5120 5184 5220 5248 5535 5568 5724 5760 5904 5945 6144 6148 6264 6360 6480 6519 6560 6642 6784 6912 6960 7134 7155 7380 7424 7632 7680 7685 7830 7872 8191 8352 8480 8586 8640 8692 8856 9216 9222 9280 9396 9512 9540 9840 10176 10240 10368 10440 10496 10701 10865 11070 11136 11448 11520 11745 11808 11890 12296 12528 12720 12960 13038 13120 13284 13568 13824 13833 13920 14268 14310 14760 14848 15264 15360 15370 15660 15744 16382 16605 16704 16960 17172 17280 17384 17712 17835 18432 18444 18560 18792 19024 19080 19557 19680 20352 20736 20880 20992 21402 21465 21730 22140 22272 22896 23040 23055 23490 23616 23780 24573 24592 25056 25440 25920 26076 26240 26568 27136 27648 27666 27840 28536 28620 29520 29696 30528 30720 30740 31320 31488 32103 32595 32764 33210 33408 33920 34344 34560 34768 35424 35670 36888 37120 37584 38048 38160 39114 39360 40704 40955 41472 41499 41760 41984 42804 42930 43460 44280 44544 45792 46080 46110 46980 47232 47560 49146 49184 50112 50880 51840 52152 52480 53136 53505 54272 55296 55332 55680 57072 57240 58671 59040 59392 61056 61480 62640 62976 63017 64206 65190 65528 66420 66816 67840 68688 69120 69165 69536 70848 71340 73719 73776 74240 75168 76096 76320 78228 78720 81408 81910 82944 82998 83520 83968 85608 85860 86920 88560 89088 91584 92160 92220 93960 94464 95120 96309 97785 98292 98368 100224 101760 103680 104304 104960 106272 107010 108544 110664 111360 114144 114480 117342 118080 122112 122865 122960 124497 125280 125952 126034 128412 130380 131056 132840 133632 135680 137376 138240 138330 139072 141696 142680 147438 147552 148480 150336 152192 152640 156456 157440 160515 162816 163820 165888 165996 167040 171216 171720 173840 176013 177120 178176 183168 184440 187920 188928 189051 190240 192618 195570 196584 196736 200448 203520 207360 207495 208608 209920 212544 214020 221157 221328 222720 228288 228960 234684 236160 237539 244224 245730 245920 248994 250560 251904 252068 256824 260760 262112 265680 267264 271360 274752 276480 276660 278144 283392 285360 293355 294876 295104 296960 300672 304384 305280 312912 314880 315085 321030 325632 327640 331992 334080 335831 342432 343440 347680 352026 354240 366336 368595 368880 375840 377856 378102 380480 385236 391140 393168 393472 400896 407040 414720 414990 417216 419840 425088 428040 434123 442314 442656 445440 456576 457920 469368 472320 475078 481545 488448 491460 491840 497988 501120 504136 513648 521520 524224 531360 534528 542720 549504 553320 556288 566784 567153 570720 586710 589752 590208 601344 608768 610560 622485 625824 629760 630170 642060 655280 663471 663984 668160 671662 684864 686880 695360 704052 708480 712617 732672 737190 737760 751680 755712 756204 760960 770472 782280 786336 786944 801792 814080 829440 829980 834432 850176 856080 868246 880065 884628 885312 890880 913152 915840 938736 944640 945255 950156 963090 976896 982920 983680 995976 1002240 1007493 1008272 1027296 1043040 1048448 1062720 1099008 1105785 1106640 1112576 1133568 1134306 1141440 1173420 1179504 1180416 1187695 1202688 1217536 1221120 1244970 1251648 1259520 1260340 1284120 1302369 1310560 1326942 1327968 1336320 1343324 1369728 1373760 1390720 1408104 1416960 1425234 1465344 1474380 1475520 1503360 1512408 1521920 1540944 1564560 1572672 1573888 1603584 1628160 1659960 1668864 1679155 1700352 1701459 1712160 1736492 1760130 1769256 1770624 1826304 1831680 1877472 1889280 1890510 1900312 1926180 1965840 1967360 1991952 2004480 2014986 2016544 2054592 2086080 2096896 2125440 2137851 2170615 2198016 2211570 2213280 2225152 2267136 2268612 2282880 2346840 2359008 2360832 2375390 2405376 2435072 2442240 2489940 2503296 2520680 2568240 2604738 2621120 2653884 2655936 2672640 2686648 2739456 2747520 2781440 2816208 2833920 2835765 2850468 2930688 2948760 2951040 3006720 3022479 3024816 3043840 3081888 3129120 3145344 3147776 3317355 3319920 3337728 3358310 3400704 3402918 3424320 3472984 3520260 3538512 3541248 3563085 3652608 3663360 3754944 3778560 3781020 3800624 3852360 3907107 3931680 3934720 3983904 4008960 4029972 4033088 4109184 4172160 4193792 4250880 4275702 4341230 4396032 4423140 4426560 4450304 4537224 4565760 4693680 4718016 4721664 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120158208 120899160 120992640 121619968 123275520 125027424 125813760 125895670 127484928 128271060 128959104 129058816 136011555 136116720 136822464 138919360 140655852 141540480 141649920 142392344 145078992 145191168 146086485 150197760 150976512 151074804 152024960 153925272 155825584 156284280 159356160 160191387 161198880 161323520 163340064 164367360 166703232 169848576 171028080 171945472 175303782 175819815 177990430 180237312 181348740 181488960 182429952 187541136 188720640 188843505 192406590 193438656 193588224 194781980 197240832 200263680 201433072 204175080 205233696 208379040 212310720 212474880 213588516 214931840 217618488 217786752 222270976 225296640 226464768 226612206 228037440 233738376 234426420 241798320 241985280 243239936 246551040 250054848 251627520 251791340 254969856 256542120 257918208 262955673 266985645 272023110 272233440 273644928 277838720 281311704 283080960 284784688 290157984 290382336 292172970 300395520 302149608 304049920 307850544 311651168 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833516160 849242880 854354064 859727360 870473952 871147008 876518910 889083904 901186560 906448824 912149760 934953504 937705680 961148322 967193280 967941120 986204160 1000219392 1007165360 1019754927 1026168480 1031672832 1032344494 1051822692 1067942580 1088092440 1088933760 1094579712 1111354880 1125246816 1132323840 1133061030 1139138752 1160631936 1161529344 1168691880 1208598432 1216199680 1231402176 1246604672 1250274240 1274849280 1281531096 1289591040 1306720512 1314778365 1333625856 1358788608 1359673236 1368224640 1402430256 1406558520 1423923440 1441722483 1450789920 1451911680 1459439616 1500329088 1510748040 1539252720 1547509248 1548516741 1558255840 1577734038 1601913870 1611464576 1633400640 1641869568 1667032320 1698485760 1699591545 1708708128 1719454720 1740947904 1742294016 1753037820 1802373120 1812897648 1824299520 1869907008 1875411360 1922296644 1934386560 1935882240 2000438784 2014330720 2039509854 2052336960 2063345664 2064688988 2103645384 2135885160 2176184880 2177867520 2189159424 2222709760 2250493632 2264647680 2266122060 2278277504 2321263872 2337383760 2402870805 2417196864 2432399360 2462804352 2493209344 2500548480 2563062192 2579182080 2580861235 2613441024 2629556730 2667251712 2719346472 2736449280 2804860512 2813117040 2847846880 2883444966 2901579840 2903823360 3000658176 3021496080 3078505440 3095018496 3097033482 3116511680 3155468076 3203827740 3222929152 3266801280 3283739136 3334064640 3396971520 3399183090 3417416256 3438909440 3481895808 3484588032 3506075640 3625795296 3648599040 3739814016 3750822720 3844593288 3868773120 3944335095 4000877568 4028661440 4079019708 4104673920 4129377976 4207290768 4271770320 4352369760 4355735040 4378318848 4445419520 4500987264 4532244120 4556555008 4642527744 4645550223 4674767520 4805741610 4834393728 4925608704 4986418688 5001096960 5098774635 5126124384 5158364160 5161722470 5226882048 5259113460 5438692944 5472898560 5609721024 5626234080 5695693760 5766889932 5803159680 5807646720 6001316352 6042992160 6157010880 6190036992 6194066964 6233023360 6310936152 6407655480 6445858304 6533602560 6567478272 6668129280 6793943040 6798366180 6834832512 6963791616 7012151280 7208612415 7251590592 7297198080 7479628032 7501645440 7689186576 7737546240 7742583705 7888670190 8001755136 8057322880 8158039416 8209347840 8258755952 8414581536 8543540640 8704739520 8711470080 9001974528 9064488240 9113110016 9285055488 9291100446 9349535040 9611483220 9668787456 9851217408 9972837376 10002193920 10197549270 10252248768 10316728320 10323444940 10453764096 10518226920 10877385888 10945797120 11219442048 11252468160 11391387520 11533779864 11606319360 12002632704 12085984320 12314021760 12388133928 12466046720 12621872304 12815310960 12891716608 13067205120 13134956544 13336258560 13596732360 13669665024 13927583232 13936650669 14024302560 14417224830 14503181184 14959256064 15003290880 15378373152 15475092480 15485167410 15777340380 16114645760 16316078832 16418695680 16517511904 16829163072 17087081280 17409479040 17422940160 18003949056 18128976480 18226220032 18570110976 18582200892 18699070080 19222966440 19337574912 19702434816 19945674752 20004387840 20395098540 20504497536 20646889880 21036453840 21754771776 21891594240 22438884096 22504936320 22782775040 23067559728 23212638720 23227751115 24005265408 24171968640 24628043520 24776267856 24932093440 25243744608 25630621920 25783433216 26134410240 27193464720 27339330048 27855166464 27873301338 28048605120 28834449660 29006362368 29918512128 30006581760 30756746304 30950184960 30970334820 31554680760 32229291520 32632157664 32837391360 33035023808 33658326144 34174162560 34818958080 36007898112 36257952960 36452440064 37164401784 37398140160 38445932880 38675149824 39404869632 40008775680 40790197080 41008995072 41293779760 41809952007 42072907680 43509543552 44877768192 45009872640 45565550080 46135119456 46425277440 46455502230 48343937280 49256087040 49552535712 49864186880 50487489216 51261243840 52268820480 54386929440 54678660096 55710332928 55746602676 56097210240 57668899320 58012724736 59837024256 60013163520 61513492608 61940669640 63109361520 64458583040 65264315328 65674782720 66070047616 67316652288 68348325120 69637916160 69683253345 72015796224 72515905920 74328803568 74796280320 76891865760 77350299648 81580394160 82017990144 82587559520 83619904014 84145815360 87019087104 89755536384 90019745280 91131100160 92270238912 92850554880 92911004460 96687874560 98512174080 99105071424 99728373760 100974978432 102522487680 108773858880 109357320192 111493205352 112194420480 115337798640 116025449472 120026327040 123026985216 123881339280 126218723040 128917166080 130528630656 132140095232 134633304576 136696650240 139275832320 139366506690 145031811840 148657607136 149592560640 153783731520 163160788320 164035980288 165175119040 167239808028 168291630720 174038174208 179511072768 180039490560 182262200320 184540477824 185822008920 193375749120 197024348160 198210142848 201949956864 205044975360 209049760035 217547717760 222986410704 224388840960 230675597280 232050898944 246053970432 247762678560 252437446080 261057261312 264280190464 269266609152 273393300480 278551664640 278733013380 290063623680 297315214272 299185121280 307567463040 326321576640 328071960576 330350238080 334479616056 336583261440 348076348416 360078981120 369080955648 371644017840 386751498240 396420285696 403899913728 410089950720 418099520070 435095435520 445972821408 448777681920 461351194560 492107940864 495525357120 504874892160 522114522624 528560380928 538533218304 546786600960 557466026760 580127247360 594630428544 615134926080 652643153280 660700476160 668959232112 673166522880 696152696832 738161911296 743288035680 792840571392 807799827456 820179901440 836199040140 870190871040 891945642816 897555363840 922702389120 984215881728 991050714240 1009749784320 1044229045248 1057120761856 1114932053520 1160254494720 1189260857088 1230269852160 1305286306560 1321400952320 1337918464224 1346333045760 1476323822592 1486576071360 1585681142784 1615599654912 1640359802880 1672398080280 1740381742080 1783891285632 1845404778240 1982101428480 2019499568640 2088458090496 2229864107040 2378521714176 2460539704320 2610572613120 2642801904640 2675836928448 2692666091520 2952647645184 2973152142720 3171362285568 3344796160560 3480763484160 3567782571264 3690809556480 3964202856960 4038999137280 4459728214080 4757043428352 4921079408640 5221145226240 5285603809280 5351673856896 5946304285440 6689592321120 7135565142528 7381619112960 7928405713920 8077998274560 8919456428160 9514086856704 10442290452480 10703347713792 11892608570880 13379184642240 14271130285056 14763238225920 15856811427840 17838912856320 21406695427584 23785217141760 26758369284480 28542260570112 35677825712640 42813390855168 47570434283520 53516738568960 71355651425280 85626781710336 107033477137920 142711302850560 214066954275840 428133908551680
- Sum of all divisors σ(n): 1657084959129600
- Sum of proper divisors (its aliquot sum) s(n): 1228951050577920
- 428133908551680 is an abundant number, because the sum of its proper divisors (1228951050577920) is greater than itself. Its abundance is 800817142026240
Bases of 428133908551680
- Binary: 11000010101100010101100011000100100011000000000002
- Hexadecimal: 0x18562B1891800
- Base-36: 47RE032800
Squares and roots of 428133908551680
- 428133908551680 squared (4281339085516802) is 183298643651738293035230822400
- 428133908551680 cubed (4281339085516803) is 78476364738840302120213535177842079301632000
-
The
square root of 428133908551680 is 20691396.9695542789 -
The
cube root of 428133908551680 is 75369.0790473339
Scales and comparisons
How big is 428133908551680?- 428,133,908,551,680 seconds is equal to 13,613,333 years, 51 weeks, 2 days, 4 hours, 48 minutes.
-
To count from 1 to 428,133,908,551,680 would take you about thirty-four million, thirty-three thousand, three hundred thirty-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 428133908551680 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428133908551680
- 428133908551680 backwards is 086155809331824
- The number of decimal digits it has is: 15
- The sum of 428133908551680's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 428133908551680 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 428133908551680 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/428133908551680/
Chicago style:
Numbermatics. 2024. "Number 428133908551680 - Facts about the integer". https://numbermatics.com/n/428133908551680/
The information we have on file for 428133908551680 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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