13144962768000
13,144,962,768,000 is an even composite number composed of seven prime numbers multiplied together.
13144962768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13144962768000:
27 × 3 × 53 × 7 × 17 × 372 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 17 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 13144962768000 from the Numbermatics database.
Names of 13144962768000
- Cardinal: 13144962768000 can be written as Thirteen trillion, one hundred forty-four billion, nine hundred sixty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3144962768 × 1013
Factors of 13144962768000
Divisors of 13144962768000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 37 40 41 42 48 50 51 56 60 64 68 70 74 75 80 82 84 85 96 100 102 105 111 112 119 120 123 125 128 136 140 148 150 160 164 168 170 175 185 192 200 204 205 210 222 224 238 240 246 250 255 259 272 280 287 296 300 320 328 336 340 350 357 370 375 384 400 408 410 420 425 444 448 476 480 492 500 510 518 525 544 555 560 574 592 595 600 615 629 640 656 672 680 697 700 714 740 750 777 800 816 820 840 850 861 875 888 896 925 952 960 984 1000 1020 1025 1036 1050 1088 1110 1120 1148 1184 1190 1200 1230 1258 1275 1295 1312 1344 1360 1369 1394 1400 1428 1435 1480 1500 1517 1554 1600 1632 1640 1680 1681 1700 1722 1750 1776 1785 1850 1887 1904 1920 1968 2000 2040 2050 2072 2091 2100 2125 2176 2220 2240 2296 2368 2380 2400 2460 2516 2550 2590 2624 2625 2688 2720 2738 2775 2788 2800 2856 2870 2960 2975 3000 3034 3075 3108 3145 3200 3264 3280 3360 3362 3400 3444 3485 3500 3552 3570 3700 3774 3808 3885 3936 4000 4080 4100 4107 4144 4182 4200 4250 4305 4403 4440 4480 4551 4592 4625 4736 4760 4800 4879 4920 5032 5043 5100 5125 5180 5248 5250 5440 5476 5550 5576 5600 5712 5740 5920 5950 6000 6068 6150 6216 6290 6375 6475 6528 6560 6720 6724 6800 6845 6888 6970 7000 7104 7140 7175 7400 7548 7585 7616 7770 7872 8000 8160 8200 8214 8288 8364 8400 8405 8500 8610 8806 8880 8925 9102 9184 9250 9435 9520 9583 9600 9758 9840 10064 10086 10200 10250 10360 10455 10500 10619 10880 10952 11100 11152 11200 11424 11480 11767 11840 11900 12000 12136 12300 12432 12580 12750 12950 13120 13209 13440 13448 13600 13690 13776 13875 13940 14000 14208 14280 14350 14637 14800 14875 15096 15170 15232 15375 15540 15725 15744 16000 16320 16400 16428 16576 16728 16800 16810 17000 17220 17425 17612 17760 17850 18204 18368 18500 18870 19040 19166 19425 19516 19680 20128 20172 20400 20500 20535 20720 20910 21000 21238 21525 21904 22015 22200 22304 22400 22755 22848 22960 23273 23534 23680 23800 24000 24272 24395 24600 24864 25160 25215 25500 25789 25900 26240 26418 26896 27200 27380 27552 27750 27880 28000 28560 28577 28700 28749 29274 29600 29750 30192 30340 30750 31080 31450 31857 32375 32640 32800 32856 33152 33456 33600 33620 34000 34225 34440 34850 35224 35301 35520 35700 35875 36408 36736 37000 37740 37925 38080 38332 38850 39032 39360 40256 40344 40800 41000 41070 41440 41820 42000 42025 42476 43050 43808 44030 44400 44608 44625 45510 45696 45920 46546 47068 47175 47600 47915 48000 48544 48790 49200 49728 50320 50430 51000 51578 51800 52275 52836 53095 53792 54400 54760 55104 55500 55760 56000 56129 57120 57154 57400 57498 58548 58835 59200 59500 60384 60680 61500 62160 62197 62900 63714 64750 65600 65712 66045 66912 67200 67240 68000 68450 68880 69700 69819 70448 70602 71040 71400 71750 72816 73185 74000 75480 75850 76160 76664 77367 77700 78064 78625 78720 80512 80688 81600 82000 82140 82880 83640 84000 84050 84952 85731 86100 87125 87616 88060 88800 89216 89250 91020 91840 93092 94136 94350 95200 95830 97088 97125 97580 98400 99456 100640 100860 102000 102675 103156 103600 104550 105672 106190 107584 107625 109520 110075 110208 111000 111520 112000 112258 113775 114240 114308 114800 114996 116365 117096 117670 118400 119000 120768 121360 121975 123000 124320 124394 125800 126075 127428 128945 129500 131200 131424 132090 133824 134480 136000 136900 137760 139400 139638 140896 141204 142800 142885 143500 143745 145632 146370 148000 150960 151700 153328 154734 155400 156128 157250 159285 161376 162911 163200 164000 164280 165760 167280 168000 168100 168387 169904 171125 171462 172200 174250 175232 176120 176505 177600 178500 180523 182040 183680 186184 186591 188272 188700 189625 190400 191660 194176 194250 195160 196800 200039 201280 201720 204000 205350 206312 207200 209100 210125 211344 212380 215168 215250 219040 220150 222000 223040 224516 227550 228480 228616 229600 229992 232730 234192 235340 235875 238000 239575 241536 242720 243950 246000 248640 248788 251600 252150 254856 257890 259000 261375 262848 264180 265475 267648 268960 272000 273800 275520 278800 279276 280645 281792 282408 285600 285770 287000 287490 291264 292740 294175 296000 301920 303400 306656 309468 310800 310985 312256 314500 318570 322752 325822 328000 328560 330225 334560 336000 336200 336774 339808 342250 342924 344400 348500 349095 352240 353010 355200 357000 361046 364080 365925 372368 373182 376544 377400 379250 380800 383320 386835 388500 390320 392903 393600 400078 402560 403440 408000 410700 412624 414400 418200 420250 422688 424760 428655 430500 435379 438080 440300 444000 446080 449032 455100 457232 459200 459984 465460 468384 470680 471750 476000 479150 485440 487900 488733 492000 497280 497576 503200 504300 509712 513375 515780 518000 522750 525696 528360 530950 537920 541569 547600 550375 551040 557600 558552 561290 563584 564816 568875 571200 571540 574000 574980 581825 582528 585480 588350 592000 600117 603840 606800 609875 613312 618936 621600 621970 624512 629000 630375 637140 644725 645504 651644 656000 657120 660450 669120 672400 673548 679616 684500 685848 688800 697000 698190 704480 706020 714000 714425 718725 722092 728160 731850 744736 746364 753088 754800 758500 766640 773670 777000 780640 785806 796425 800156 806880 814555 816000 821400 825248 828800 836400 840500 841935 845376 849520 857310 861000 870758 876160 880600 882525 888000 898064 902615 910200 914464 918400 919968 930920 932955 936768 941360 943500 952000 954193 958300 970880 975800 977466 984000 995152 1000195 1006400 1008600 1019424 1026750 1031560 1036000 1045500 1056720 1057349 1061900 1075840 1083138 1095200 1100750 1115200 1117104 1122580 1129632 1137750 1142400 1143080 1148000 1149960 1163650 1170960 1176700 1178709 1197875 1200234 1207680 1213600 1219750 1226624 1237872 1243200 1243940 1258000 1260750 1274280 1289450 1303288 1306137 1314240 1320900 1327375 1338240 1344800 1347096 1359232 1369000 1371696 1377600 1394000 1396380 1403225 1408960 1412040 1428000 1428850 1437450 1444184 1456320 1463700 1470875 1489472 1492728 1506176 1509600 1517000 1533280 1547340 1554000 1554925 1561280 1571612 1592850 1600312 1613760 1629110 1642800 1650496 1651125 1672800 1681000 1683870 1690752 1699040 1714620 1722000 1741516 1745475 1761200 1765050 1776000 1796128 1805230 1820400 1828928 1829625 1839936 1861840 1865910 1873536 1882720 1887000 1904000 1908386 1916600 1934175 1951600 1954932 1964515 1968000 1990304 2000390 2012800 2017200 2038848 2053500 2063120 2072000 2091000 2113440 2114698 2123800 2143275 2166276 2176895 2190400 2201500 2230400 2234208 2245160 2259264 2275500 2286160 2296000 2299920 2301289 2327300 2341920 2353400 2357418 2395750 2400468 2427200 2439500 2443665 2475744 2486400 2487880 2516000 2521500 2548560 2578900 2606576 2612274 2628480 2641800 2654750 2689600 2694192 2707845 2738000 2743392 2755200 2788000 2792760 2806450 2817920 2824080 2856000 2857700 2862579 2874900 2888368 2909125 2912640 2927400 2941750 2978944 2985456 3000585 3019200 3034000 3066560 3094680 3108000 3109850 3122560 3143224 3172047 3185700 3200624 3223625 3227520 3258220 3285600 3300992 3302250 3345600 3362000 3367740 3398080 3429240 3444000 3483032 3490950 3522400 3530100 3572125 3592256 3593625 3610460 3640800 3657856 3659250 3679872 3723680 3731820 3765440 3774000 3816772 3833200 3868350 3903200 3909864 3929030 3980608 3982125 4000780 4034400 4072775 4077696 4107000 4126240 4144000 4182000 4209675 4226880 4229396 4247600 4286550 4332552 4353790 4380800 4403000 4412625 4468416 4490320 4513075 4518528 4551000 4572320 4592000 4599840 4602578 4654600 4664775 4683840 4706800 4714836 4770965 4791500 4800936 4854400 4879000 4887330 4951488 4975760 5000975 5032000 5043000 5097120 5157800 5213152 5224548 5283600 5286745 5309500 5379200 5388384 5415690 5476000 5486784 5576000 5585520 5612900 5648160 5712000 5715400 5725158 5749800 5776736 5818250 5854800 5883500 5893545 5970912 6001170 6038400 6068000 6133120 6189360 6216000 6219700 6286448 6344094 6371400 6401248 6447250 6516440 6530685 6571200 6604500 6679351 6691200 6724000 6735480 6796160 6858480 6888000 6903867 6966064 6981900 7016125 7044800 7060200 7144250 7184512 7187250 7220920 7281600 7318500 7401443 7447360 7463640 7530880 7548000 7633544 7666400 7736700 7774625 7806400 7819728 7858060 7961216 7964250 8001560 8068800 8145550 8214000 8252480 8364000 8419350 8453760 8458792 8495200 8573100 8665104 8707580 8727375 8806000 8825250 8936832 8980640 9026150 9102000 9144640 9199680 9205156 9309200 9329550 9367680 9413600 9429672 9541930 9583000 9601872 9670875 9758000 9774660 9822575 9902976 9951520 10001950 10064000 10086000 10194240 10315600 10426304 10449096 10567200 10573490 10619000 10716375 10776768 10831380 10884475 10952000 10973568 11152000 11171040 11225800 11296320 11430800 11450316 11499600 11506445 11553472 11636500 11709600 11767000 11787090 11941824 12002340 12136000 12218325 12378720 12432000 12439400 12572896 12688188 12742800 12802496 12894500 13032880 13061370 13142400 13209000 13358702 13448000 13470960 13539225 13716960 13776000 13807734 13932128 13963800 14032250 14089600 14120400 14288500 14312895 14374500 14441840 14563200 14637000 14802886 14894720 14927280 15002925 15096000 15267088 15332800 15473400 15549250 15612800 15639456 15716120 15860235 15928500 16003120 16109023 16137600 16291100 16428000 16504960 16728000 16838700 16917584 16990400 17146200 17330208 17415160 17454750 17612000 17650500 17961280 18052300 18204000 18289280 18399360 18410312 18618400 18659100 18827200 18859344 19083860 19166000 19203744 19341750 19516000 19549320 19645150 19903040 20003900 20038053 20172000 20363875 20388480 20631200 20852608 20898192 21048375 21134400 21146980 21238000 21432750 21553536 21662760 21768950 21904000 22204329 22342080 22451600 22565375 22592640 22861600 22900632 22999200 23012890 23106944 23273000 23323875 23419200 23534000 23574180 23854825 23883648 24004680 24272000 24436650 24757440 24878800 25004875 25145792 25376376 25485600 25604992 25789000 26065760 26122740 26418000 26433725 26717404 26896000 26941920 27078450 27433920 27615468 27864256 27927600 28064500 28240800 28577000 28625790 28749000 28883680 29274000 29467725 29605772 29854560 30005850 30192000 30534176 30665600 30946800 31098500 31278912 31432240 31720470 31857000 32006240 32218046 32582200 32653425 32856000 33396755 33456000 33677400 33835168 33980800 34292400 34519335 34660416 34830320 34909500 35224000 35301000 35922560 36104600 36408000 36820624 37007215 37236800 37318200 37654400 37718688 38167720 38332000 38407488 38683500 39032000 39098640 39121913 39290300 39806080 40007800 40076106 40344000 40727750 41262400 41796384 42096750 42268800 42293960 42476000 42865500 43325520 43537900 44408658 44684160 44903200 45130750 45723200 45801264 45998400 46025780 46546000 46647750 46838400 47068000 47148360 47709650 48009360 48327069 48873300 49112875 49514880 49757600 50009750 50291584 50752752 50971200 51578000 52131520 52245480 52836000 52867450 53434808 53883840 54156900 54422375 54867840 55230936 55728512 55855200 56129000 56481600 57154000 57251580 57498000 57532225 57767360 58548000 58935450 59211544 59709120 60011700 61068352 61091625 61893600 62197000 62557824 62864480 63440940 63714000 64012480 64436092 65164400 65306850 65712000 66793510 67354800 67670336 67696125 68584800 69038670 69320832 69660640 69819000 70448000 70602000 71564475 72209200 72816000 73641248 74014430 74473600 74636400 75014625 75437376 76335440 76664000 76814976 77367000 78064000 78197280 78243826 78580600 79301175 80015600 80152212 80545115 80688000 81455500 82524800 83592768 84193500 84587920 84952000 85731000 86651040 87075800 88817316 89806400 90261500 91446400 91602528 91996800 92051560 93092000 93295500 94136000 94296720 95419300 96018720 96654138 97746600 98225750 99515200 100019500 100190265 101505504 101942400 103156000 104263040 104490960 105672000 105734900 106869616 107767680 108313800 108844750 110461872 111021645 111710400 112258000 112963200 114308000 114503160 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240046800 241635345 244366500 247574400 248788000 251457920 253763760 254856000 257744368 260657600 261227400 264337250 267174040 269419200 270784500 273853391 274339200 276154680 278642560 279276000 282408000 286257900 287661125 288836800 294564992 294677250 296057720 298545600 300058500 305341760 309468000 312789120 312975304 314322400 317204700 320062400 320608848 322180460 325822000 326534250 333967550 336774000 338351680 342924000 345193350 346604160 348303200 355269264 357822375 361046000 366410112 368206240 370072150 372368000 373182000 377186880 381677200 384074880 386616552 390986400 391219130 392903000 396505875 400078000 400761060 402725575 406022016 412624000 417963840 422939600 427478464 433255200 435379000 441847488 444086580 449032000 457232000 458012640 459984000 460257800 469462956 471483600 473692352 477096500 480093600 483270690 488733000 497576000 500951325 507527520 509712000 515488736 521315200 522454800 528674500 534348080 538838400 541569000 547706782 552309360 555108225 558552000 564816000 572515800 575322250 577673600 586828695 589354500 592115440 597091200 600117000 610683520 618936000 625950608 628644800 634409400 640124800 641217696 644360920 651644000 653068500 667935100 673548000 676703360 685848000 690386700 696606400 710538528 715644750 722092000 736412480 740144300 746364000 754373760 763354400 773233104 781972800 782438260 785806000 793011750 800156000 801522120 805451150 821560173 834918875 835927680 845879200 854956928 862983375 866510400 870758000 883694976 888173160 898064000 916025280 920515600 925180375 938925912 942967200 947384704 954193000 960187200 966541380 977466000 978047825 995152000 1001902650 1015055040 1030977472 1044909600 1057349000 1068696160 1083138000 1095413564 1104618720 1110216450 1117104000 1145031600 1150644500 1173657390 1178709000 1184230880 1200234000 1208176725 1237872000 1251901216 1257289600 1268818800 1282435392 1288721840 1303288000 1306137000 1335870200 1347096000 1369266955 1371696000 1380773400 1393212800 1421077056 1431289500 1444184000 1472824960 1480288600 1492728000 1526708800 1546466208 1563945600 1564876520 1571612000 1586023500 1600312000 1603044240 1610902300 1643120346 1669837750 1691758400 1725966750 1733020800 1741516000 1776346320 1832050560 1841031200 1850360750 1877851824 1885934400 1908386000 1920374400 1933082760 1954932000 1956095650 2003805300 2013627875 2030110080 2061954944 2089819200 2114698000 2137392320 2166276000 2190827128 2209237440 2220432900 2290063200 2301289000 2347314780 2357418000 2368461760 2400468000 2416353450 2503802432 2504756625 2537637600 2564870784 2577443680 2606576000 2612274000 2671740400 2694192000 2738533910 2761546800 2775541125 2842154112 2862579000 2888368000 2934143475 2960577200 2985456000 3053417600 3092932416 3129753040 3143224000 3172047000 3200624000 3206088480 3221804600 3286240692 3339675500 3383516800 3451933500 3483032000 3552692640 3682062400 3700721500 3755703648 3771868800 3816772000 3866165520 3909864000 3912191300 4007610600 4027255750 4107800865 4179638400 4229396000 4274784640 4332552000 4381654256 4418474880 4440865800 4580126400 4602578000 4694629560 4714836000 4736923520 4800936000 4832706900 4890239125 5007604864 5009513250 5075275200 5154887360 5224548000 5343480800 5477067820 5523093600 5551082250 5725158000 5868286950 5921154400 6040883625 6185864832 6259506080 6286448000 6344094000 6412176960 6443609200 6572481384 6679351000 6846334775 6903867000 6966064000 7105385280 7364124800 7401443000 7511407296 7633544000 7732331040 7819728000 7824382600 8015221200 8054511500 8215601730 8458792000 8665104000 8763308512 8881731600 9160252800 9205156000 9389259120 9429672000 9601872000 9665413800 9780478250 10019026500 10150550400 10309774720 10449096000 10686961600 10954135640 11046187200 11102164500 11450316000 11736573900 11842308800 12081767250 12519012160 12688188000 12824353920 12887218400 13144962768 13358702000 13692669550 13807734000 14210770560 14670717375 14802886000 15022814592 15267088000 15464662080 15648765200 16030442400 16109023000 16431203460 16917584000 17526617024 17763463200 18410312000 18778518240 18859344000 19330827600 19560956500 20038053000 20539004325 20898192000 21373923200 21908271280 22092374400 22204329000 22900632000 23473147800 23684617600 24163534500 25038024320 25376376000 25774436800 26289925536 26717404000 27385339100 27615468000 29341434750 29605772000 30929324160 31297530400 32060884800 32218046000 32862406920 34231673875 35053234048 35526926400 36820624000 37557036480 38661655200 39121913000 40076106000 41078008650 43816542560 44408658000 45801264000 46946295600 48327069000 50752752000 51548873600 52579851072 53434808000 54770678200 55230936000 58682869500 59211544000 62595060800 64121769600 64436092000 65724813840 68463347750 71053852800 75114072960 77323310400 78243826000 80152212000 82156017300 87633085120 88817316000 93892591200 96654138000 102695021625 105159702144 106869616000 109541356400 110461872000 117365739000 118423088000 125190121600 128872184000 131449627680 136926695500 154646620800 156487652000 160304424000 164312034600 175266170240 177634632000 187785182400 193308276000 205390043250 219082712800 234731478000 257744368000 262899255360 273853391000 312975304000 320608848000 328624069200 355269264000 375570364800 386616552000 410780086500 438165425600 469462956000 525798510720 547706782000 625950608000 657248138400 773233104000 821560173000 876330851200 938925912000 1095413564000 1314496276800 1643120346000 1877851824000 2190827128000 2628992553600 3286240692000 4381654256000 6572481384000 13144962768000
- Sum of all divisors σ(n): 55547771086080
- Sum of proper divisors (its aliquot sum) s(n): 42402808318080
- 13144962768000 is an abundant number, because the sum of its proper divisors (42402808318080) is greater than itself. Its abundance is 29257845550080
Bases of 13144962768000
- Binary: 101111110100100011001101011000011100100000002
- Hexadecimal: 0xBF48CD61C80
- Base-36: 4NQPNFT6O
Squares and roots of 13144962768000
- 13144962768000 squared (131449627680002) is 172790046172106221824000000
- 13144962768000 cubed (131449627680003) is 2271318723613337206017629048832000000000
-
The
square root of 13144962768000 is 3625598.2634594253 -
The
cube root of 13144962768000 is 23600.4229838963
Scales and comparisons
How big is 13144962768000?- 13,144,962,768,000 seconds is equal to 417,969 years, 8 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,144,962,768,000 would take you about one million, forty-four thousand, nine hundred twenty-two 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 13144962768000 cubic inches would be around 1966.7 feet tall.
Recreational maths with 13144962768000
- 13144962768000 backwards is 00086726944131
- 13144962768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13144962768000's digits is 51
- More coming soon!
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Numbermatics. (2024). Number 13144962768000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/13144962768000/
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The information we have on file for 13144962768000 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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