242338199184000
242,338,199,184,000 is an even composite number composed of six prime numbers multiplied together.
242338199184000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 242338199184000:
27 × 32 × 53 × 312 × 941 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 941 × 1861)See below for interesting mathematical facts about the number 242338199184000 from the Numbermatics database.
Names of 242338199184000
- Cardinal: 242338199184000 can be written as Two hundred forty-two trillion, three hundred thirty-eight billion, one hundred ninety-nine million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.42338199184 × 1014
Factors of 242338199184000
Divisors of 242338199184000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 125 128 144 150 155 160 180 186 192 200 225 240 248 250 279 288 300 310 320 360 372 375 384 400 450 465 480 496 500 558 576 600 620 640 720 744 750 775 800 900 930 941 960 961 992 1000 1116 1125 1152 1200 1240 1395 1440 1488 1500 1550 1600 1800 1860 1861 1882 1920 1922 1984 2000 2232 2250 2325 2400 2480 2790 2823 2880 2883 2976 3000 3100 3200 3600 3720 3722 3764 3844 3875 3968 4000 4464 4500 4650 4705 4800 4805 4960 5580 5583 5646 5760 5766 5952 6000 6200 6975 7200 7440 7444 7528 7688 7750 8000 8469 8649 8928 9000 9300 9305 9410 9600 9610 9920 11160 11166 11292 11532 11625 11904 12000 12400 13950 14115 14400 14415 14880 14888 15056 15376 15500 16000 16749 16938 17298 17856 18000 18600 18610 18820 19220 19840 22320 22332 22584 23064 23250 23525 24000 24025 24800 27900 27915 28230 28800 28830 29171 29760 29776 30112 30752 31000 33498 33876 34596 34875 35712 36000 37200 37220 37640 38440 42345 43245 44640 44664 45168 46128 46500 46525 47050 48000 48050 49600 55800 55830 56460 57660 57691 58342 59520 59552 60224 61504 62000 66996 67752 69192 69750 70575 72000 72075 74400 74440 75280 76880 83745 84690 86490 87513 89280 89328 90336 92256 93000 93050 94100 96100 99200 111600 111660 112920 115320 115382 116684 117625 119104 120125 120448 123008 124000 133992 135504 138384 139500 139575 141150 144000 144150 145855 148800 148880 150560 153760 167490 169380 172980 173073 175026 178560 178656 180672 184512 186000 186100 188200 192200 211725 216225 223200 223320 225840 230640 230764 232625 233368 235250 238208 240250 248000 262539 267984 271008 276768 279000 279150 282300 288300 288455 291710 297600 297760 301120 307520 334980 338760 345960 346146 350052 352875 357312 360375 361344 369024 372000 372200 376400 384400 418725 423450 432450 437565 446400 446640 451680 461280 461528 465250 466736 470500 480500 496000 519219 525078 535968 542016 553536 558000 558300 564600 576600 576910 583420 595520 602240 615040 669960 677520 691920 692292 697875 700104 705750 714624 720750 729275 744000 744400 752800 768800 837450 846900 864900 865365 875130 892800 893280 903360 904301 922560 923056 930500 933472 941000 961000 1038438 1050156 1058625 1071936 1081125 1084032 1107072 1116000 1116600 1129200 1153200 1153820 1166840 1191040 1312695 1339920 1355040 1383840 1384584 1395750 1400208 1411500 1441500 1442275 1458550 1488000 1488800 1505600 1537600 1674900 1693800 1729800 1730730 1750260 1751201 1786560 1788421 1806720 1808602 1845120 1846112 1861000 1866944 1882000 1922000 2076876 2093625 2100312 2117250 2143872 2162250 2187825 2232000 2233200 2258400 2306400 2307640 2333680 2596095 2625390 2679840 2710080 2712903 2767680 2769168 2791500 2800416 2823000 2883000 2884550 2917100 2977600 3011200 3075200 3349800 3387600 3459600 3461460 3500520 3502402 3573120 3576842 3617204 3646375 3692224 3722000 3733888 3764000 3844000 4153752 4187250 4200624 4234500 4324500 4326825 4375650 4464000 4466400 4516800 4521505 4612800 4615280 4667360 5192190 5250780 5253603 5359680 5365263 5420160 5425806 5535360 5538336 5583000 5600832 5646000 5766000 5769100 5834200 5955200 6563475 6699600 6775200 6919200 6922920 7001040 7004804 7153684 7211375 7234408 7292750 7384448 7444000 7528000 7688000 8138709 8307504 8374500 8401248 8469000 8649000 8653650 8751300 8756005 8932800 8942105 9033600 9043010 9225600 9230560 9334720 10384380 10501560 10507206 10719360 10730526 10851612 10939125 11076672 11166000 11201664 11292000 11532000 11538200 11668400 12980475 13126950 13399200 13550400 13564515 13838400 13845840 14002080 14009608 14307368 14422750 14468816 14585500 14888000 15056000 15376000 15760809 16095789 16277418 16615008 16749000 16802496 16938000 17298000 17307300 17502600 17512010 17865600 17884210 18086020 18461120 18669440 20768760 21003120 21014412 21461052 21634125 21703224 21878250 22153344 22332000 22584000 22607525 23064000 23076400 23336800 25960950 26253900 26268015 26798400 26826315 27100800 27129030 27676800 27691680 28004160 28019216 28614736 28845500 28937632 29171000 29776000 31521618 32191578 32554836 32817375 33230016 33498000 33604992 33876000 34596000 34614600 35005200 35024020 35768420 36172040 36922240 40693545 41537520 42006240 42028824 42922104 43268250 43406448 43756500 43780025 44664000 44710525 45168000 45215050 46128000 46152800 46673600 51921900 52507800 52536030 53596800 53652630 54258060 54287231 55383360 56008320 56038432 57229472 57691000 57875264 58342000 63043236 64383156 64902375 65109672 65634750 66460032 66996000 67752000 67822575 69192000 69229200 70010400 70048040 71536840 72344080 78804045 80478945 81387090 83075040 84012480 84057648 85844208 86536500 86812896 87513000 87560050 89328000 89421050 90430100 92305600 93347200 103843800 105015600 105072060 107305260 108516120 108574462 110766720 112076864 113037625 114458944 115382000 115750528 116684000 126086472 128766312 129804750 130219344 131269500 131340075 133992000 134131575 135504000 135645150 138384000 138458400 140020800 140096080 143073680 144688160 157608090 160957890 162774180 162861693 166150080 168024960 168115296 171688416 173073000 173625792 175026000 175120100 178842100 180860200 184611200 203467725 207687600 210031200 210144120 214610520 217032240 217148924 218900125 223552625 224153728 226075250 228917888 230764000 233368000 252172944 257532624 259609500 260438688 262539000 262680150 267984000 268263150 271290300 271436155 276916800 280041600 280192160 286147360 289376320 315216180 321915780 325548360 325723386 332300160 336230592 339112875 343376832 346146000 347251584 350052000 350240200 357684200 361720400 394020225 402394725 406935450 415375200 420062400 420288240 429221040 434064480 434297848 437800250 447105250 452150500 461528000 466736000 488585079 504345888 515065248 519219000 520877376 525078000 525360300 536526300 542580600 542872310 553833600 560384320 572294720 578752640 630432360 643831560 651096720 651446772 656700375 670657875 672461184 678225750 686753664 692292000 700104000 700480400 715368400 723440800 788040450 804789450 813870900 814308465 830750400 840124800 840576480 858442080 868128960 868595696 875600500 894210500 904301000 923056000 977170158 1008691776 1017338625 1030130496 1038438000 1041754752 1050156000 1050720600 1073052600 1085161200 1085744620 1120768640 1144589440 1260864720 1287663120 1302193440 1302893544 1313400750 1341315750 1356451500 1357180775 1384584000 1400208000 1400960800 1430736800 1446881600 1576080900 1609578900 1627741800 1628616930 1661500800 1681152960 1682904161 1716884160 1736257920 1737191392 1751201000 1788421000 1808602000 1954340316 1970101125 2011973625 2017383552 2034677250 2060260992 2076876000 2100312000 2101441200 2146105200 2170322400 2171489240 2442925395 2521729440 2575326240 2604386880 2605787088 2626801500 2682631500 2712903000 2714361550 2769168000 2801921600 2861473600 2893763200 3152161800 3219157800 3255483600 3257233860 3362305920 3365808322 3433768320 3474382784 3502402000 3576842000 3617204000 3908680632 3940202250 4023947250 4069354500 4071542325 4153752000 4200624000 4202882400 4292210400 4340644800 4342978480 4885850790 5043458880 5048712483 5150652480 5208773760 5211574176 5253603000 5365263000 5425806000 5428723100 5603843200 5722947200 6304323600 6438315600 6510967200 6514467720 6731616644 6785903875 6948765568 7004804000 7153684000 7234408000 7817361264 7880404500 8047894500 8138709000 8143084650 8307504000 8405764800 8414520805 8584420800 8681289600 8685956960 9771701580 10086917760 10097424966 10301304960 10423148352 10507206000 10730526000 10851612000 10857446200 12214626975 12608647200 12876631200 13021934400 13028935440 13463233288 13571807750 14009608000 14307368000 14468816000 15146137449 15634722528 15760809000 16095789000 16277418000 16286169300 16811529600 16829041610 17168841600 17371913920 19543403160 20194849932 20357711625 20846296704 21014412000 21461052000 21703224000 21714892400 24429253950 25217294400 25243562415 25753262400 26043868800 26057870880 26926466576 27143615500 28019216000 28614736000 30292274898 31269445056 31521618000 32191578000 32554836000 32572338600 33658083220 34743827840 39086806320 40389699864 40715423250 42028824000 42072604025 42922104000 43406448000 43429784800 48858507900 50434588800 50487124830 51506524800 52115741760 53852933152 54287231000 60584549796 61073134875 62538890112 63043236000 64383156000 65109672000 65144677200 67316166440 75730687245 78173612640 80779399728 81430846500 84057648000 84145208050 85844208000 86859569600 97717015800 100974249660 104231483520 107705866304 108574462000 121169099592 122146269750 126086472000 126217812075 128766312000 130219344000 130289354400 134632332880 151461374490 156347225280 161558799456 162861693000 168290416100 173719139200 195434031600 201948499320 210363020125 215411732608 217148924000 242338199184 244292539500 252172944000 252435624150 257532624000 260578708800 269264665760 302922748980 312694450560 323117598912 325723386000 336580832200 378653436225 390868063200 403896998640 420726040250 434297848000 484676398368 488585079000 504871248300 521157417600 538529331520 605845497960 631089060375 646235197824 651446772000 673161664400 757306872450 781736126400 807793997280 841452080500 868595696000 969352796736 977170158000 1009742496600 1077058663040 1211690995920 1262178120750 1302893544000 1346323328800 1514613744900 1563472252800 1615587994560 1682904161000 1893267181125 1938705593472 1954340316000 2019484993200 2423381991840 2524356241500 2605787088000 2692646657600 3029227489800 3231175989120 3365808322000 3786534362250 3908680632000 4038969986400 4846763983680 5048712483000 5385293315200 6058454979600 6731616644000 7573068724500 7817361264000 8077939972800 9693527967360 10097424966000 12116909959200 13463233288000 15146137449000 16155879945600 20194849932000 24233819918400 26926466576000 30292274898000 40389699864000 48467639836800 60584549796000 80779399728000 121169099592000 242338199184000
- Sum of all divisors σ(n): 900716169160080
- Sum of proper divisors (its aliquot sum) s(n): 658377969976080
- 242338199184000 is an abundant number, because the sum of its proper divisors (658377969976080) is greater than itself. Its abundance is 416039770792080
Bases of 242338199184000
- Binary: 1101110001100111110000100100011100100010100000002
- Hexadecimal: 0xDC67C2472280
- Base-36: 2DWGMQT280
Squares and roots of 242338199184000
- 242338199184000 squared (2423381991840002) is 58727802783744058265856000000
- 242338199184000 cubed (2423381991840003) is 14231989968645637269307512954261504000000000
-
The
square root of 242338199184000 is 15567215.5244282527 -
The
cube root of 242338199184000 is 62345.8129313977
Scales and comparisons
How big is 242338199184000?- 242,338,199,184,000 seconds is equal to 7,705,605 years, 6 weeks, 6 days, 8 hours.
-
To count from 1 to 242,338,199,184,000 would take you about nineteen million, two hundred sixty-four thousand and twelve 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 242338199184000 cubic inches would be around 5195.5 feet tall.
Recreational maths with 242338199184000
- 242338199184000 backwards is 000481991833242
- The number of decimal digits it has is: 15
- The sum of 242338199184000's digits is 54
- More coming soon!
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The information we have on file for 242338199184000 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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