242132875848000
242,132,875,848,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242132875848000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
242132875848000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 242132875848000:
26 × 32 × 53 × 17 × 29 × 792 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 29 × 79 × 79 × 1093)See below for interesting mathematical facts about the number 242132875848000 from the Numbermatics database.
Names of 242132875848000
- Cardinal: 242132875848000 can be written as Two hundred forty-two trillion, one hundred thirty-two billion, eight hundred seventy-five million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.42132875848 × 1014
Factors of 242132875848000
Divisors of 242132875848000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 29 30 32 34 36 40 45 48 50 51 58 60 64 68 72 75 79 80 85 87 90 96 100 102 116 120 125 136 144 145 150 153 158 160 170 174 180 192 200 204 225 232 237 240 250 255 261 272 288 290 300 306 316 320 340 348 360 375 395 400 408 425 435 450 464 474 480 493 500 510 522 544 576 580 600 612 632 680 696 711 720 725 750 765 790 800 816 850 870 900 928 948 960 986 1000 1020 1044 1088 1093 1125 1160 1185 1200 1224 1264 1275 1305 1343 1360 1392 1422 1440 1450 1479 1500 1530 1580 1600 1632 1700 1740 1800 1856 1896 1972 1975 2000 2040 2088 2125 2175 2186 2250 2291 2320 2370 2400 2448 2465 2528 2550 2610 2686 2720 2784 2844 2880 2900 2958 3000 3060 3160 3264 3279 3400 3480 3555 3600 3625 3792 3825 3944 3950 4000 4029 4080 4176 4250 4350 4372 4437 4500 4582 4640 4740 4800 4896 4930 5056 5100 5220 5372 5440 5465 5568 5688 5800 5916 5925 6000 6120 6241 6320 6375 6525 6558 6715 6800 6873 6960 7110 7200 7250 7395 7584 7650 7888 7900 8000 8058 8160 8352 8500 8700 8744 8874 9000 9164 9280 9480 9792 9837 9860 9875 10200 10440 10744 10875 10930 11376 11455 11600 11832 11850 12000 12087 12240 12325 12482 12640 12750 13050 13116 13430 13600 13746 13920 14220 14400 14500 14790 15168 15300 15776 15800 16116 16320 16395 16704 17000 17400 17488 17748 17775 18000 18328 18581 18723 18960 19125 19674 19720 19750 20145 20400 20619 20880 21488 21750 21860 22185 22752 22910 23200 23664 23700 24000 24174 24480 24650 24964 25280 25500 26100 26232 26860 27200 27325 27492 27840 28440 29000 29580 29625 30600 31205 31552 31600 31697 32232 32625 32790 33575 34000 34365 34800 34976 35496 35550 36000 36656 36975 37162 37446 37920 38250 38947 39348 39440 39500 40290 40800 41238 41760 42976 43500 43720 44370 45504 45820 46400 47328 47400 48348 48960 49185 49300 49928 51000 52200 52464 53720 54650 54984 55743 56169 56880 57275 58000 59160 59250 60435 61200 61625 62410 63200 63394 64464 65250 65580 67150 68000 68730 69600 69952 70992 71100 72000 73312 73950 74324 74892 75840 76500 77894 78696 78880 79000 80580 81600 81975 82476 83520 85952 86347 87000 87440 88740 88875 91640 92905 93615 94656 94800 95091 96696 98370 98600 99856 100725 102000 103095 104400 104928 106097 107440 109300 109968 110925 111486 112338 113760 114550 116000 116841 118320 118500 120870 122400 123250 124820 126400 126788 128928 130500 131160 134300 136000 136625 137460 139200 141984 142200 146624 147900 148648 149784 153000 155788 156025 157392 157760 158000 158485 161160 163950 164952 167229 167875 171825 172694 174000 174880 177480 177750 180989 183280 184875 185810 187230 189600 190182 193392 194735 196740 197200 199712 201450 204000 206190 208800 209856 212194 214880 218600 219936 221850 222972 224676 227520 229100 232000 233682 236640 237000 241740 244800 245925 246500 249640 253576 257856 259041 261000 262320 268600 273250 274920 278715 280845 283968 284400 285273 286375 295800 297296 299568 302175 306000 311576 312050 314784 316000 316970 318291 322320 327900 329904 334458 335750 343650 345388 348000 349760 350523 354960 355500 361978 366560 369750 371620 374460 379200 380364 386784 389470 393480 394400 399424 402900 408000 409875 412380 417600 424388 429760 431735 437200 439872 443700 445944 449352 458200 464525 467364 468075 473280 474000 475455 483480 491850 493000 499280 503625 507152 515475 518082 522000 524640 530485 537200 538849 542967 546500 549840 554625 557430 561690 568800 570546 572750 584205 591600 594592 599136 604350 612000 623152 624100 629568 632000 633940 636582 644640 655800 659808 668916 671500 687300 690776 696000 701046 709920 711000 723956 733120 739500 743240 748920 760728 773568 777123 778940 780125 786960 788800 792425 805800 819750 824760 836145 848776 859125 863470 874400 887400 891888 898704 904945 916400 929050 934728 936150 948000 950910 954873 966960 973675 983700 986000 998560 1007250 1014304 1030950 1036164 1044000 1049280 1060970 1074400 1077698 1085934 1093000 1099680 1109250 1114860 1123380 1137600 1141092 1145500 1168410 1183200 1189184 1198272 1208700 1224000 1229625 1246304 1248200 1267880 1273164 1289280 1295205 1311600 1319616 1337832 1343000 1374600 1381552 1393575 1402092 1404225 1419840 1422000 1426365 1447912 1467899 1479000 1486480 1497840 1510875 1521456 1554246 1557880 1560250 1573920 1584850 1591455 1611600 1616547 1628901 1639500 1649520 1672290 1697552 1718250 1726940 1748800 1752615 1774800 1783776 1797408 1809890 1832800 1858100 1869456 1872300 1896000 1901820 1909746 1933920 1947350 1967400 1972000 1997120 2014500 2028608 2061900 2072328 2088000 2121940 2148800 2155396 2158675 2171868 2186000 2199360 2218500 2229720 2246760 2282184 2291000 2322625 2336820 2340375 2366400 2377275 2417400 2459250 2492608 2496400 2504063 2535760 2546328 2577375 2590410 2623200 2652425 2675664 2686000 2694245 2714835 2749200 2763104 2787150 2804184 2808450 2844000 2852730 2895824 2921025 2935798 2958000 2972960 2995680 3021750 3042912 3076813 3108492 3115760 3120500 3147840 3169700 3182910 3223200 3233094 3257802 3279000 3299040 3344580 3395104 3436500 3453880 3505230 3549600 3567552 3594816 3619780 3665600 3716200 3738912 3744600 3803640 3819492 3867840 3885615 3894700 3934800 3944000 3962125 4029000 4123800 4144656 4180725 4243880 4310792 4317350 4343736 4372000 4403697 4437000 4459440 4493520 4524725 4564368 4582000 4645250 4673640 4680750 4754550 4774365 4834800 4849641 4868375 4918500 4992800 5008126 5071520 5092656 5154750 5180820 5246400 5304850 5351328 5372000 5388490 5429670 5498400 5526208 5574300 5608368 5616900 5688000 5705460 5791648 5842050 5871596 5916000 5945920 5991360 6043500 6085824 6153626 6216984 6231520 6241000 6339400 6365820 6446400 6466188 6476025 6515604 6558000 6598080 6689160 6790208 6821413 6873000 6907760 6967875 7010460 7021125 7099200 7131825 7239560 7339495 7432400 7477824 7489200 7512189 7607280 7638984 7771230 7789400 7869600 7924250 7957275 8058000 8082735 8144505 8247600 8289312 8361450 8487760 8621584 8634700 8687472 8744000 8763075 8807394 8874000 8918880 8987040 9049450 9128736 9164000 9230439 9290500 9347280 9361500 9509100 9548730 9669600 9699282 9736750 9837000 9985600 10016252 10143040 10185312 10309500 10361640 10609700 10702656 10744000 10776980 10793375 10859340 10996800 11148600 11216736 11233800 11410920 11583296 11684100 11743192 11832000 11886375 12087000 12307252 12433968 12463040 12482000 12520315 12678800 12731640 12932376 12952050 13031208 13116000 13211091 13262125 13378320 13471225 13574175 13642826 13746000 13815520 13935750 14020920 14042250 14263650 14479120 14605125 14678990 14864800 14978400 15024378 15214560 15277968 15384065 15542460 15578800 15739200 15848500 15914550 16116000 16165470 16289010 16495200 16578624 16722900 16975520 17243168 17269400 17374944 17526150 17614788 17748000 17837760 17974080 18098900 18257472 18328000 18460878 18581000 18694560 18723000 19018200 19097460 19339200 19398564 19428075 19473500 19674000 20032504 20370624 20464239 20619000 20723280 20903625 21219400 21553960 21586750 21718680 22018485 22297200 22433472 22467600 22536567 22623625 22821840 23368200 23486384 23772750 23871825 24174000 24248205 24614504 24867936 24964000 25040630 25357600 25463280 25864752 25904100 26062416 26232000 26422182 26524250 26756640 26942450 27148350 27285652 27492000 27631040 27691317 27871500 28041840 28084500 28527300 28958240 29210250 29357980 29729600 29956800 30048756 30429120 30555936 30768130 31084920 31157600 31697000 31829100 32232000 32330940 32380125 32578020 32990400 33445800 33951040 34107065 34486336 34538800 34749888 35052300 35229576 35496000 35659125 36197800 36697475 36921756 37162000 37389120 37446000 37560945 38036400 38194920 38797128 38856150 38947000 39348000 39786375 40065008 40413675 40722525 40928478 41238000 41446560 41807250 42438800 42569071 43107920 43173500 43437360 43815375 44036970 44594400 44935200 45073134 45247250 45643680 46152195 46736400 46972768 47545500 47743650 48348000 48496410 49229008 49735872 49928000 50081260 50715200 50926560 51729504 51808200 52124832 52844364 53048500 53513280 53884900 54296700 54571304 54984000 55382634 55743000 56083680 56169000 57054600 57916480 58420500 58715960 60097512 61111872 61392717 61536260 62169840 62315200 62601575 63394000 63658200 64661880 64760250 65156040 66055455 66891600 67356125 67870875 68214130 69077600 70104600 70459152 71318250 72395600 73394950 73843512 74324000 74892000 75121890 76072800 76389840 76920325 77594256 77712300 77894000 78696000 79572750 80130016 80827350 81445050 81856956 82476000 82893120 83614500 84877600 85138142 86215840 86347000 86874720 87630750 88073940 89188800 89870400 90146268 90494500 91287360 92304390 93472800 93945536 95091000 95487300 96696000 96992820 97140375 98458016 100162520 101853120 102321195 103459008 103616400 104249664 105688728 106097000 107769800 108593400 109142608 110092425 110765268 111486000 112167360 112338000 112682835 114109200 115964021 116841000 117431920 119359125 120195024 121241025 122785434 123072520 124339680 125203150 126788000 127316400 127707213 129323760 129520500 130312080 132110910 133783200 134712250 135741750 136428260 138155200 138456585 140209200 140918304 142636500 144791200 146789900 147687024 148648000 149784000 150243780 152145600 152779680 153840650 155188512 155424600 155788000 159145500 160260032 161654700 162890100 163713912 164952000 167229000 169755200 170276284 170535325 172431680 172694000 173749440 175261500 176147880 180292536 180989000 183487375 184608780 186945600 187804725 190182000 190974600 193985640 194280750 196916032 197820977 200325040 202068375 203612625 204642390 207232800 211377456 212194000 212845355 215539600 217186800 218285216 220184850 221530536 222972000 224676000 225365670 228218400 230760975 231928042 233682000 234863840 238718250 240390048 242482050 245570868 246145040 248679360 250406300 253576000 254632800 255414426 258647520 259041000 260624160 264221820 267566400 269424500 271483500 272856520 276913170 280418400 281836608 285273000 289582400 293579800 295374048 300487560 305559360 306963585 307681300 310377024 310849200 311576000 313007875 318291000 323309400 325780200 327427824 330277275 334458000 340552568 341070650 345388000 347892063 350523000 352295760 360585072 361978000 366974750 369217560 375609450 380364000 381949200 383121639 384601625 387971280 388561500 395641954 400650080 404136750 407225250 409284780 414465600 422754912 424388000 425690710 431079200 434373600 436570432 440369700 443061072 445944000 449352000 450731340 456436800 461521950 463856084 467364000 469727680 477436500 480780096 484964100 491141736 492290080 500812600 509265600 510828852 511605975 517295040 518082000 521248320 528443640 538849000 542967000 545713040 550462125 553826340 560836800 563414175 570546000 579820105 587159600 590748096 593462931 600975120 606205125 613927170 615362600 621698400 626015750 636582000 638536065 646618800 651560400 654855648 660554550 668916000 681105136 682141300 690776000 692282925 695784126 701046000 704591520 721170144 723956000 733949500 738435120 751218900 760728000 763898400 766243278 769203250 775942560 777123000 791283908 801300160 808273500 814450500 818569560 845509824 848776000 851381420 852676625 862158400 868747200 880739400 886122144 901462680 923043900 927712168 934728000 939023625 954873000 969928200 982283472 984580160 989104885 1001625200 1021657704 1023211950 1036164000 1043676189 1056887280 1064226775 1077698000 1085934000 1091426080 1100924250 1107652680 1126828350 1141092000 1153804875 1159640210 1174319200 1186925862 1201950240 1212410250 1227854340 1230725200 1243396800 1252031500 1273164000 1277072130 1293237600 1303120800 1309711296 1321109100 1337832000 1362210272 1364282600 1384565850 1391568252 1402092000 1409183040 1442340288 1447912000 1467899000 1476870240 1502437800 1527796800 1532486556 1534817925 1538406500 1551885120 1554246000 1582567816 1616547000 1628901000 1637139120 1651386375 1702762840 1705353250 1739460315 1761478800 1772244288 1780388793 1802925360 1846087800 1855424336 1878047250 1909746000 1915608195 1939856400 1964566944 1978209770 2003250400 2043315408 2046423900 2072328000 2087352378 2113774560 2128453550 2155396000 2171868000 2182852160 2201848500 2215305360 2253656700 2282184000 2307609750 2319280420 2348638400 2373851724 2403900480 2424820500 2455708680 2461450400 2504063000 2546328000 2554144260 2558029875 2586475200 2606241600 2642218200 2724420544 2728565200 2769131700 2783136504 2804184000 2817070875 2899100525 2935798000 2953740480 2967314655 3004875600 3064973112 3069635850 3076813000 3108492000 3165135632 3192680325 3233094000 3257802000 3274278240 3302772750 3362956609 3405525680 3410706500 3461414625 3478920630 3522957600 3560777586 3605850720 3692175600 3710848672 3756094500 3819492000 3831216390 3879712800 3929133888 3956419540 4006500800 4086630816 4092847800 4174704756 4227549120 4256907100 4310792000 4343736000 4403697000 4430610720 4507313400 4615219500 4638560840 4747703448 4849641000 4911417360 4922900800 4945524425 5008126000 5108288520 5116059750 5218380945 5284436400 5321133875 5457130400 5538263400 5566273008 5634141750 5798201050 5871596000 5934629310 6009751200 6129946224 6139271700 6153626000 6216984000 6330271264 6385360650 6466188000 6515604000 6548556480 6605545500 6725913218 6811051360 6821413000 6922829250 6957841260 7045915200 7121555172 7211701440 7384351200 7421697344 7512189000 7638984000 7662432780 7674089625 7759425600 7912839080 8173261632 8185695600 8349409512 8513814200 8697301575 8807394000 8861221440 8901943965 9014626800 9230439000 9277121680 9495406896 9578040975 9699282000 9822834720 9891048850 10016252000 10088869827 10216577040 10232119500 10436761890 10568872800 10642267750 10914260800 11076526800 11132546016 11268283500 11596402100 11743192000 11869258620 12019502400 12259892448 12278543400 12307252000 12660542528 12770721300 12932376000 13031208000 13211091000 13451826436 13622102720 13642826000 13845658500 13915682520 14243110344 14495502625 14768702400 14836573275 15024378000 15324865560 15348179250 15825678160 15963401625 16371391200 16698819024 16814783045 17027628400 17394603150 17614788000 17803887930 18029253600 18460878000 18554243360 18990813792 19156081950 19398564000 19645669440 19782097700 20032504000 20177739654 20433154080 20464239000 20873523780 21137745600 21284535500 22153053600 22265092032 22536567000 23192804200 23738517240 24519784896 24557086800 24614504000 24727622125 25541442600 26091904725 26422182000 26903652872 27285652000 27691317000 27831365040 28486220688 28991005250 29673146550 30048756000 30266609481 30649731120 30696358500 31651356320 31926803250 32742782400 33397638048 33629566090 34055256800 34789206300 35229576000 35607775860 36058507200 36921756000 37108486720 37981627584 38312163900 38797128000 39564195400 40355479308 40866308160 40928478000 41747047560 42569071000 43486507875 44306107200 44509719825 45073134000 46385608400 47477034480 47890204875 49114173600 49455244250 50444349135 51082885200 52183809450 52844364000 53807305744 54571304000 55382634000 55662730080 56972441376 57982010500 59346293100 60097512000 60533218962 61299462240 61392717000 63302712640 63853606500 66795276096 67259132180 68110513600 69578412600 71215551720 73843512000 74182866375 76624327800 79128390800 80710958616 81856956000 83494095120 84073915225 85138142000 86973015750 89019439650 90146268000 92771216800 94954068960 95780409750 98228347200 98910488500 100888698270 102165770400 104367618900 105688728000 107614611488 110765268000 111325460160 113944882752 115964021000 118692586200 121066437924 122598924480 122785434000 127707213000 130459523625 134518264360 139156825200 142431103440 148365732750 151333047405 153248655600 158256781600 161421917232 163713912000 166988190240 168147830450 170276284000 173946031500 178038879300 180292536000 185542433600 189908137920 191560819500 197820977000 201777396540 204331540800 208735237800 215229222976 221530536000 222548599125 231928042000 237385172400 242132875848 245570868000 252221745675 255414426000 260919047250 269036528720 278313650400 284862206880 296731465500 302666094810 306497311200 316513563200 322843834464 333976380480 336295660900 340552568000 347892063000 356077758600 383121639000 395641954000 403554793080 417470475600 420369576125 445097198250 463856084000 474770344800 484265751696 491141736000 504443491350 510828852000 521838094500 538073057440 556627300800 569724413760 593462931000 605332189620 612994622400 645687668928 672591321800 695784126000 712155517200 756665237025 766243278000 791283908000 807109586160 834940951200 840739152250 890194396500 927712168000 949540689600 968531503392 1008886982700 1021657704000 1043676189000 1076146114880 1186925862000 1210664379240 1261108728375 1345182643600 1391568252000 1424311034400 1513330474050 1532486556000 1582567816000 1614219172320 1669881902400 1681478304500 1780388793000 1937063006784 2017773965400 2087352378000 2373851724000 2421328758480 2522217456750 2690365287200 2783136504000 2848622068800 3026660948100 3064973112000 3228438344640 3362956609000 3560777586000 3783326185125 4035547930800 4174704756000 4747703448000 4842657516960 5044434913500 5380730574400 6053321896200 6725913218000 7121555172000 7566652370250 8071095861600 8349409512000 9685315033920 10088869827000 12106643792400 13451826436000 14243110344000 15133304740500 16142191723200 20177739654000 24213287584800 26903652872000 30266609481000 40355479308000 48426575169600 60533218962000 80710958616000 121066437924000 242132875848000
- Sum of all divisors σ(n): 961764059561760
- Sum of proper divisors (its aliquot sum) s(n): 719631183713760
- 242132875848000 is an abundant number, because the sum of its proper divisors (719631183713760) is greater than itself. Its abundance is 477498307865760
Bases of 242132875848000
- Binary: 1101110000110111111101000000110110101001010000002
- Hexadecimal: 0xDC37F40DA940
- Base-36: 2DTUB2LE80
Squares and roots of 242132875848000
- 242132875848000 squared (2421328758480002) is 58628329566422981719104000000
- 242132875848000 cubed (2421328758480003) is 14195846044082323502045782441800192000000000
-
The
square root of 242132875848000 is 15560619.3915280891 -
The
cube root of 242132875848000 is 62328.2002626663
Scales and comparisons
How big is 242132875848000?- 242,132,875,848,000 seconds is equal to 7,699,076 years, 25 weeks, 1 day, 20 hours.
-
To count from 1 to 242,132,875,848,000 would take you about nineteen million, two hundred forty-seven thousand, six hundred ninety-one 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 242132875848000 cubic inches would be around 5194 feet tall.
Recreational maths with 242132875848000
- 242132875848000 backwards is 000848578231242
- The number of decimal digits it has is: 15
- The sum of 242132875848000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 242132875848000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 242132875848000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/242132875848000/
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The information we have on file for 242132875848000 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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