42068399912668800
42,068,399,912,668,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42068399912668800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
42068399912668800 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 42068399912668800:
27 × 34 × 52 × 11 × 29 × 3527 × 144253
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 29 × 3527 × 144253)See below for interesting mathematical facts about the number 42068399912668800 from the Numbermatics database.
Names of 42068399912668800
- Cardinal: 42068399912668800 can be written as Forty-two quadrillion, sixty-eight trillion, three hundred ninety-nine billion, nine hundred twelve million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20683999126688 × 1016
Factors of 42068399912668800
Divisors of 42068399912668800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 128 132 135 144 145 150 160 162 165 174 176 180 192 198 200 216 220 225 232 240 261 264 270 275 288 290 297 300 319 320 324 330 348 352 360 384 396 400 405 432 435 440 450 464 480 495 522 528 540 550 576 580 594 600 638 640 648 660 675 696 704 720 725 783 792 800 810 825 864 870 880 891 900 928 957 960 990 1044 1056 1080 1100 1152 1160 1188 1200 1276 1296 1305 1320 1350 1392 1408 1440 1450 1485 1566 1584 1595 1600 1620 1650 1728 1740 1760 1782 1800 1856 1914 1920 1980 2025 2088 2112 2160 2175 2200 2320 2349 2376 2400 2475 2552 2592 2610 2640 2700 2784 2871 2880 2900 2970 3132 3168 3190 3200 3240 3300 3456 3480 3520 3527 3564 3600 3712 3828 3915 3960 4050 4176 4224 4320 4350 4400 4455 4640 4698 4752 4785 4800 4950 5104 5184 5220 5280 5400 5568 5742 5760 5800 5940 6264 6336 6380 6480 6525 6600 6960 7040 7054 7128 7200 7425 7656 7830 7920 7975 8100 8352 8613 8640 8700 8800 8910 9280 9396 9504 9570 9600 9900 10208 10368 10440 10560 10581 10800 11136 11484 11600 11745 11880 12528 12672 12760 12960 13050 13200 13920 14108 14256 14355 14400 14850 15312 15660 15840 15950 16200 16704 17226 17280 17400 17600 17635 17820 18560 18792 19008 19140 19575 19800 20416 20880 21120 21162 21600 22275 22968 23200 23490 23760 23925 25056 25520 25839 25920 26100 26400 27840 28216 28512 28710 28800 29700 30624 31320 31680 31743 31900 32400 33408 34452 34800 35200 35270 35640 37584 38016 38280 38797 39150 39600 40832 41760 42324 43065 43200 44550 45936 46400 46980 47520 47850 50112 51040 51678 51840 52200 52800 52905 55680 56432 57024 57420 58725 59400 61248 62640 63360 63486 63800 64800 68904 69600 70540 71280 71775 75168 76560 77594 78300 79200 83520 84648 86130 86400 88175 89100 91872 92800 93960 95040 95229 95700 100224 102080 102283 103356 104400 105600 105810 112864 114048 114840 116391 117450 118800 122496 125280 126972 127600 129195 129600 137808 139200 141080 142560 143550 144253 150336 153120 155188 156600 158400 158715 167040 169296 172260 176350 178200 183744 187920 190080 190458 191400 193985 204160 204566 206712 208800 211620 215325 225728 229680 232782 234900 237600 250560 253944 255200 258390 259200 264525 275616 278400 282160 285120 285687 287100 288506 300672 306240 306849 310376 313200 316800 317430 338592 344520 349173 352700 356400 367488 375840 380916 382800 387970 409132 413424 417600 423240 430650 432759 451456 459360 465564 469800 475200 476145 501120 507888 510400 511415 516780 529050 551232 564320 570240 571374 574200 577012 581955 612480 613698 620752 626400 634860 645975 677184 689040 698346 705400 712800 721265 751680 761832 765600 775940 793575 818264 826848 835200 846480 861300 865518 918720 920547 931128 939600 950400 952290 969925 1015776 1020800 1022830 1033560 1047519 1058100 1102464 1125113 1128640 1142748 1148400 1154024 1163910 1227396 1241504 1252800 1269720 1291950 1298277 1354368 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302215516614 305268198600 324601851178 325619411840 329689654488 331320290400 335795018460 343426723425 354111110376 358181353024 361440316800 366321838320 368865739975 372735326700 397584348480 398374999173 402954022152 407024264800 411294153600 412112068110 419743773075 439586205984 441760387200 442638887970 447726691280 453323274921 457902297900 472148147168 477101218176 486902776767 488429117760 496980435600 503692527690 531166665564 537272029536 542160475200 549482757480 559658364100 586114941312 590185183960 596376522720 604431033228 610536397200 649203702356 659379308976 662640580800 663958331955 671590036920 686853446850 708222220752 716362706048 732643676640 737731479950 745470653400 755538791535 795168696960 796749998346 805908044304 811504627945 814048529600 824224136220 839487546150 879172411968 885277775940 895453382560 906646549842 915804595800 944296294336 973805553534 976858235520 993960871200 1007385055380 1030280170275 1062333331128 1074544059072 1084320950400 1098965514960 1106597219925 1119316728200 1180370367920 1192753045440 1195124997519 1208862066456 1221072794400 1259231319225 1298407404712 1318758617952 1325281161600 1327916663910 1343180073840 1373706893700 1416444441504 1460708330301 1465287353280 1475462959900 1490941306800 1511077583070 1593499996692 1611816088608 1623009255890 1628097059200 1648448272440 1678975092300 1758344823936 1770555551880 1790906765120 1813293099684 1831609191600 1888592588672 1947611107068 1987921742400 1991874995865 2014770110760 2060560340550 2124666662256 2149088118144 2197931029920 2213194439850 2238633456400 2266616374605 2360740735840 2385506090880 2390249995038 2417724132912 2434513883835 2442145588800 2518462638450 2596814809424 2637517235904 2655833327820 2686360147680 2747413787400 2832888883008 2921416660602 2930574706560 2950925919800 2981882613600 3022155166140 3186999993384 3223632177216 3246018511780 3296896544880 3319791659775 3357950184600 3541111103760 3581813530240 3626586199368 3663218383200 3777693957675 3895222214136 3975843484800 3983749991730 4029540221520 4057523139725 4121120681100 4249333324512 4382124990903 4395862059840 4426388879700 4477266912800 4533232749210 4721481471680 4780499990076 4835448265824 4869027767670 4884291177600 5036925276900 5193629618848 5275034471808 5311666655640 5372720295360 5494827574800 5665777766016 5842833321204 5901851839600 5963765227200 5975624987595 6044310332280 6373999986768 6447264354432 6492037023560 6593793089760 6639583319550 6715900369200 7082222207520 7253172398736 7303541651505 7326436766400 7555387915350 7790444428272 7967499983460 8059080443040 8115046279450 8242241362200 8498666649024 8764249981806 8791724119680 8852777759400 8954533825600 9066465498420 9442962943360 9560999980152 9670896531648 9738055535340 9959374979325 10073850553800 10387259237696 10623333311280 10745440590720 10989655149600 11333081873025 11685666642408 11803703679200 11927530454400 11951249975190 12088620664560 12172569419175 12747999973536 12984074047120 13146374972709 13187586179520 13279166639100 13431800738400 14164444415040 14506344797472 14607083303010 14652873532800 15110775830700 15580888856544 15934999966920 16118160886080 16230092558900 16484482724400 16997333298048 17528499963612 17705555518800 17909067651200 18132930996840 19121999960304 19341793063296 19476111070680 19918749958650 20147701107600 20774518475392 21246666622560 21910624954515 21979310299200 22666163746050 23371333284816 23607407358400 23902499950380 24177241329120 24345138838350 25495999947072 25968148094240 26292749945418 26375172359040 26558333278200 26863601476800 28328888830080 29012689594944 29214166606020 29878124937975 30221551661400 31161777713088 31869999933840 32236321772160 32460185117800 32968965448800 35056999927224 35411111037600 36265861993680 36517708257525 38243999920608 38952222141360 39837499917300 40295402215200 42493333245120 43821249909030 43958620598400 45332327492100 46742666569632 47214814716800 47804999900760 48354482658240 48690277676700 50991999894144 51936296188480 52585499890836 53116666556400 53727202953600 58025379189888 58428333212040 59756249875950 60443103322800 62323555426176 63739999867680 64920370235600 65731874863545 65937930897600 70113999854448 70822222075200 72531723987360 73035416515050 76487999841216 77904444282720 79674999834600 80590804430400 84986666490240 87642499818060 90664654984200 93485333139264 95609999801520 96708965316480 97380555353400 103872592376960 105170999781672 106233333112800 109553124772575 116856666424080 119512499751900 120886206645600 127479999735360 129840740471200 131463749727090 131875861795200 140227999708896 141644444150400 145063447974720 146070833030100 152975999682432 155808888565440 159349999669200 161181608860800 175284999636120 181329309968400 186970666278528 191219999603040 194761110706800 210341999563344 212466666225600 219106249545150 233713332848160 239024999503800 241772413291200 254959999470720 259681480942400 262927499454180 280455999417792 290126895949440 292141666060200 311617777130880 318699999338400 328659374317725 350569999272240 362658619936800 382439999206080 389522221413600 420683999126688 424933332451200 438212499090300 467426665696320 478049999007600 483544826582400 519362961884800 525854998908360 560911998835584 584283332120400 637399998676800 657318748635450 701139998544480 725317239873600 764879998412160 779044442827200 841367998253376 876424998180600 934853331392640 956099998015200 1051709997816720 1168566664240800 1274799997353600 1314637497270900 1402279997088960 1450634479747200 1558088885654400 1682735996506752 1752849996361200 1912199996030400 2103419995633440 2337133328481600 2629274994541800 2804559994177920 3505699992722400 3824399992060800 4206839991266880 4674266656963200 5258549989083600 7011399985444800 8413679982533760 10517099978167200 14022799970889600 21034199956334400 42068399912668800
- Sum of all divisors σ(n): 175245222156681600
- Sum of proper divisors (its aliquot sum) s(n): 133176822244012800
- 42068399912668800 is an abundant number, because the sum of its proper divisors (133176822244012800) is greater than itself. Its abundance is 91108422331344000
Bases of 42068399912668800
- Binary: 100101010111010011111100101000010001000001001110100000002
- Hexadecimal: 0x9574FCA1104E80
- Base-36: BI8044E3S00
Squares and roots of 42068399912668800
- 42068399912668800 squared (420683999126688002) is 1769750271212232299466738493440000
- 42068399912668800 cubed (420683999126688003) is 74450562154910258381596840246241663281692672000000
-
The
square root of 42068399912668800 is 205105826.1304851379 -
The
cube root of 42068399912668800 is 347791.2604934779
Scales and comparisons
How big is 42068399912668800?- 42,068,399,912,668,800 seconds is equal to 1,337,644,991 years, 6 weeks, 1 day.
-
To count from 1 to 42,068,399,912,668,800 would take you about four billion, twelve million, nine hundred thirty-four thousand, nine hundred seventy-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 42068399912668800 cubic inches would be around 28982.6 feet tall.
Recreational maths with 42068399912668800
- 42068399912668800 backwards is 00886621999386024
- 42068399912668800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42068399912668800's digits is 81
- More coming soon!
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The information we have on file for 42068399912668800 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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