13328532867312000
13,328,532,867,312,000 is an even composite number composed of seven prime numbers multiplied together.
13328532867312000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13328532867312000:
27 × 33 × 53 × 13 × 17 × 241 × 579281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 241 × 579281)See below for interesting mathematical facts about the number 13328532867312000 from the Numbermatics database.
Names of 13328532867312000
- Cardinal: 13328532867312000 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, five hundred thirty-two billion, eight hundred sixty-seven million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.3328532867312 × 1016
Factors of 13328532867312000
Divisors of 13328532867312000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 170 180 192 195 200 204 208 216 221 225 234 240 241 250 255 260 270 272 288 300 306 312 320 325 340 351 360 375 384 390 400 408 416 425 432 442 450 459 468 480 482 500 510 520 540 544 576 585 600 612 624 640 650 663 675 680 702 720 723 750 765 780 800 816 832 850 864 884 900 918 936 960 964 975 1000 1020 1040 1080 1088 1105 1125 1152 1170 1200 1205 1224 1248 1275 1300 1326 1350 1360 1404 1440 1446 1500 1530 1560 1600 1625 1632 1664 1700 1728 1755 1768 1800 1836 1872 1920 1928 1950 1989 2000 2040 2080 2125 2160 2169 2176 2210 2250 2295 2340 2400 2410 2448 2496 2550 2600 2652 2700 2720 2808 2880 2892 2925 3000 3060 3120 3133 3200 3250 3264 3315 3375 3400 3456 3510 3536 3600 3615 3672 3744 3825 3856 3900 3978 4000 4080 4097 4160 4250 4320 4338 4420 4500 4590 4680 4800 4820 4875 4896 4992 5100 5200 5304 5400 5440 5525 5616 5760 5784 5850 5967 6000 6025 6120 6240 6266 6375 6500 6507 6528 6630 6750 6800 7020 7072 7200 7230 7344 7488 7650 7712 7800 7956 8000 8160 8194 8320 8500 8640 8676 8775 8840 9000 9180 9360 9399 9600 9640 9750 9792 9945 10200 10400 10608 10800 10845 10880 11050 11232 11475 11568 11700 11934 12000 12050 12240 12291 12480 12532 12750 13000 13014 13260 13500 13600 14040 14144 14400 14460 14625 14688 14976 15300 15424 15600 15665 15912 16000 16320 16388 16575 17000 17280 17352 17550 17680 18000 18075 18360 18720 18798 19125 19280 19500 19584 19890 20400 20485 20800 21216 21600 21690 22100 22464 22950 23136 23400 23868 24000 24100 24480 24582 24960 25064 25500 26000 26028 26520 27000 27200 27625 28080 28197 28288 28800 28920 29250 29376 29835 30125 30600 30848 31200 31330 31824 32535 32640 32776 33150 34000 34704 35100 35360 36000 36150 36720 36873 37440 37596 38250 38560 39000 39780 40800 40970 41600 42432 43200 43380 43875 44200 44928 45900 46272 46800 46995 47736 48000 48200 48960 49164 49725 50128 51000 52000 52056 53040 53261 54000 54225 54400 55250 56160 56394 57375 57840 58500 58752 59670 60250 61200 61455 62400 62660 63648 65070 65552 66300 68000 69408 70200 70720 72000 72300 73440 73746 74880 75192 76500 77120 78000 78325 79560 81600 81940 82875 84591 84864 86400 86760 87750 88400 90375 91800 92544 93600 93990 95472 96400 97920 98328 99450 100256 102000 102425 104000 104112 106080 106522 108000 108450 110500 110619 112320 112788 114750 115680 117000 119340 120500 122400 122910 124800 125320 127296 130140 131104 132600 136000 138816 140400 140985 141440 144000 144600 146880 147492 149175 150384 153000 154240 156000 156650 159120 159783 162675 163200 163880 165750 169182 173520 175500 176800 180750 183600 184365 187200 187980 190944 192800 196656 198900 200512 204000 204850 208000 208224 212160 213044 216000 216900 221000 221238 224640 225576 229500 231360 234000 234975 238680 241000 244800 245820 248625 250640 254592 260280 262208 265200 266305 271125 272000 277632 280800 281970 289200 293760 294984 298350 300768 306000 307275 312000 313300 318240 319566 325350 327760 331500 338364 347040 351000 353600 361500 367200 368730 374400 375960 381888 385600 391625 393312 397800 401024 408000 409700 416448 422955 424320 426088 432000 433800 442000 442476 451152 459000 462720 468000 469950 477360 479349 482000 489600 491640 497250 501280 512125 520560 524416 530400 532610 542250 553095 561600 563940 578400 579281 589968 596700 601536 612000 614550 624000 626600 636480 639132 650700 655520 663000 676728 694080 702000 704925 707200 723000 734400 737460 745875 751920 763776 771200 783250 786624 795600 798915 813375 816000 819400 832896 845910 852176 867600 884000 884952 902304 918000 921825 936000 939900 954720 958698 964000 983280 994500 1002560 1024250 1041120 1060800 1065220 1084500 1106190 1123200 1127880 1156800 1158562 1174875 1179936 1193400 1203072 1224000 1229100 1253200 1272960 1278264 1301400 1311040 1326000 1331525 1353456 1388160 1404000 1409850 1438047 1446000 1468800 1474920 1491750 1503840 1536375 1566500 1573248 1591200 1597830 1626750 1638800 1691820 1704352 1735200 1737843 1768000 1769904 1804608 1836000 1843650 1872000 1879800 1909440 1917396 1928000 1966560 1989000 2005120 2048500 2082240 2114775 2121600 2130440 2169000 2212380 2255760 2313600 2317124 2349750 2359872 2386800 2396745 2448000 2458200 2506400 2556528 2602800 2622080 2652000 2663050 2706912 2765475 2808000 2819700 2876094 2892000 2896405 2949840 2983500 3007680 3072750 3133000 3182400 3195660 3253500 3277600 3383640 3408704 3470400 3475686 3524625 3536000 3539808 3609216 3672000 3687300 3759600 3818880 3834792 3856000 3933120 3978000 3994575 4097000 4164480 4229550 4260880 4338000 4424760 4511520 4609125 4634248 4699500 4719744 4773600 4793490 4916400 5012800 5113056 5205600 5213529 5304000 5326100 5413824 5530950 5616000 5639400 5752188 5784000 5792810 5899680 5967000 6015360 6145500 6266000 6364800 6391320 6507000 6555200 6657625 6767280 6817408 6940800 6951372 7049250 7079616 7190235 7344000 7374600 7519200 7530653 7669584 7866240 7956000 7989150 8194000 8459100 8521760 8676000 8689215 8849520 9023040 9218250 9268496 9399000 9547200 9586980 9832800 9847777 10025600 10226112 10411200 10427058 10573875 10608000 10652200 10827648 11061900 11278800 11504376 11568000 11585620 11799360 11934000 11983725 12291000 12532000 12782640 13014000 13110400 13315250 13534560 13827375 13902744 14098500 14159232 14380470 14482025 14749200 15038400 15061306 15339168 15640587 15912000 15978300 16388000 16918200 17043520 17352000 17378430 17699040 18046080 18436500 18536992 18798000 19094400 19173960 19665600 19695554 19972875 20452224 20822400 20854116 21147750 21304400 22123800 22557600 22591959 23008752 23171240 23598720 23868000 23967450 24582000 25064000 25565280 26028000 26067645 26630500 27069120 27654750 27805488 28197000 28760940 28964050 29498400 29543331 30076800 30122612 30678336 31281174 31824000 31956600 32776000 33836400 34087040 34704000 34756860 35398080 35951175 36873000 37073984 37596000 37653265 38347920 39331200 39391108 39945750 41708232 42295500 42608800 43446075 44247600 45115200 45183918 46017504 46342480 47736000 47934900 49164000 49238885 50128000 51130560 52056000 52135290 53261000 54138240 55309500 55610976 56394000 57521880 57928100 58996800 59086662 59918625 60245224 61356672 62562348 63913200 65552000 67672800 67775877 69513720 70796160 71902350 72410125 73746000 74147968 75192000 75306530 76695840 78202935 78782216 79891500 83416464 84591000 85217600 86892150 88495200 88629993 90230400 90367836 92035008 92684960 95472000 95869800 98328000 98477770 102261120 104112000 104270580 106522000 110619000 111221952 112788000 112959795 115043760 115856200 117993600 118173324 119837250 120490448 125124696 127826400 128021101 130338225 135345600 135551754 139027440 139606721 143804700 144820250 147492000 147716655 150384000 150613060 153391680 156405870 157564432 159783000 166832928 169182000 170435200 173784300 176990400 177259986 179755875 180735672 184070016 185369920 188266325 191739600 196656000 196955540 203327631 208541160 213044000 217230375 221238000 222443904 225576000 225919590 230087520 231712400 236346648 239674500 240980896 246194425 250249392 255652800 256042202 260676450 265889979 270691200 271103508 278054880 279213442 287609400 289640500 294984000 295433310 301226120 306783360 312811740 315128864 319566000 333665856 338364000 338879385 347568600 353980800 354519972 359511750 361471344 370739840 376532650 383479200 384063303 391014675 393911080 406655262 417082320 418820163 426088000 434460750 442476000 443149965 451152000 451839180 460175040 463424800 472693296 479349000 481961792 492388850 500498784 511305600 512084404 521352900 531779958 542207016 556109760 558426884 564798975 575218800 579281000 589968000 590866620 602452240 625623480 630257728 639132000 640105505 651691125 667331712 676728000 677758770 695137200 698033605 709039944 719023500 722942688 738583275 753065300 766958400 768126606 782029350 787822160 813310524 834164640 837640326 852176000 868921500 884952000 886299930 903678360 920350080 926849600 941331625 945386592 958698000 963923584 984777700 1000997568 1016638155 1024168808 1042705800 1063559916 1084414032 1112219520 1116853768 1129597950 1150437600 1152189909 1158562000 1181733240 1204904480 1230972125 1251246960 1256460489 1260515456 1278264000 1280211010 1303382250 1329449895 1353456000 1355517540 1390274400 1396067210 1418079888 1438047000 1445885376 1477166550 1506130600 1533916800 1536253212 1564058700 1575644320 1626621048 1668329280 1675280652 1694396925 1737843000 1769904000 1772599860 1807356720 1814887373 1853699200 1882663250 1890773184 1917396000 1920316515 1955073375 1969555400 2001995136 2033276310 2048337616 2085411600 2094100815 2127119832 2168828064 2215749825 2233707536 2259195900 2300875200 2304379818 2317124000 2363466480 2373314257 2409808960 2461944250 2502493920 2512920978 2556528000 2560422020 2606764500 2658899790 2711035080 2780548800 2792134420 2823994875 2836159776 2876094000 2891770752 2954333100 3012261200 3072506424 3128117400 3151288640 3200527525 3253242096 3336658560 3350561304 3388793850 3456569727 3475686000 3490168025 3545199720 3614713440 3629774746 3692916375 3765326500 3769381467 3781546368 3834792000 3840633030 3910146750 3939110800 4066552620 4096675232 4170823200 4188201630 4254239664 4337656128 4431499650 4467415072 4518391800 4601750400 4608759636 4634248000 4726932960 4746628514 4819617920 4923888500 5004987840 5025841956 5083190775 5120844040 5213529000 5317799580 5422070160 5444662119 5561097600 5584268840 5647989750 5672319552 5752188000 5760949545 5908666200 6024522400 6145012848 6256234800 6282302445 6302577280 6401055050 6506484192 6647249475 6701122608 6777587700 6913139454 6951372000 6980336050 7090399440 7119942771 7229426880 7259549492 7385832750 7530653000 7538762934 7669584000 7681266060 7820293500 7878221600 8133105240 8193350464 8341646400 8376403260 8471984625 8508479328 8675312256 8862999300 8934830144 9036783600 9074436865 9217519272 9268496000 9453865920 9493257028 9601582575 9847777000 10009975680 10051683912 10166381550 10241688080 10427058000 10470504075 10635599160 10844140320 10889324238 11078749125 11168537680 11295979500 11344639104 11504376000 11521899090 11817332400 11866571285 12049044800 12290025696 12512469600 12564604890 12802110100 13012968384 13294498950 13402245216 13555175400 13826278908 13902744000 13960672100 14180798880 14239885542 14458853760 14519098984 14771665500 15061306000 15077525868 15362532120 15640587000 15756443200 16002637625 16266210480 16333986357 16386700928 16683292800 16752806520 16943969250 17016958656 17282848635 17450840125 17725998600 17869660288 18073567200 18148873730 18435038544 18846907335 18907731840 18986514056 19203165150 19695554000 20103367824 20332763100 20483376160 20854116000 20941008150 21271198320 21359828313 21688280640 21778648476 22157498250 22337075360 22591959000 23008752000 23043798180 23634664800 23733142570 24098089600 24580051392 25024939200 25129209780 25415953875 25604220200 26025936768 26588997900 26804490432 27110350800 27223310595 27652557816 27805488000 27921344200 28361597760 28479771084 28804747725 29038197968 29543331000 30122612000 30155051736 30725064240 30853085341 31281174000 31411512225 31512886400 32005275250 32532420960 32667972714 33236247375 33505613040 33887938500 34033917312 34565697270 34901680250 35451997200 35599713855 36147134400 36297747460 36870077088 37693814670 37973028112 38406330300 39391108000 40206735648 40665526200 40966752320 41708232000 41882016300 42542396640 42719656626 43376561280 43557296952 44314996500 44674150720 45183918000 45372184325 46087596360 47269329600 47466285140 48007912875 49001959071 49160102784 50049878400 50258419560 50831907750 51208440400 52352520375 53177995800 53608980864 54220701600 54446621190 55305115632 55842688400 56723195520 56959542168 57609495450 58076395936 59086662000 59332856425 60245224000 60310103472 61450128480 61706170682 62562348000 62823024450 64010550500 64079484939 65064841920 65335945428 66472494750 67011226080 67775877000 69131394540 69803360500 70903994400 71199427710 72294268800 72595494920 73740154176 75387629340 75946056224 76812660600 78782216000 80413471296 81331052400 81669931785 81933504640 83416464000 83764032600 85084793280 85439313252 86414243175 87114593904 88629993000 89348301440 90367836000 90744368650 92175192720 92559256023 94234536675 94538659200 94932570280 96015825750 98003918142 100516839120 101663815500 102416880800 104705040750 106355991600 106799141565 108441403200 108893242380 110610231264 111685376800 113919084336 115218990900 116152791872 118173324000 118665712850 120490448000 120620206944 122900256960 123412341364 125124696000 125646048900 128021101000 128158969878 130129683840 130671890856 132944989500 134022452160 135551754000 136116552975 138262789080 139606721000 141807988800 142398855420 144023738625 145190989840 147480308352 150775258680 151892112448 153625321200 154265426705 157057561125 157564432000 160826942592 162662104800 163339863570 167528065200 170169586560 170878626504 172828486350 174229187808 177259986000 177998569275 180735672000 181488737300 184350385440 185118512046 188469073350 189865140560 192031651500 196007836284 201033678240 203327631000 204833761600 209410081500 212711983200 213598283130 216882806400 217786484760 221220462528 223370753600 226860921625 227838168672 230437981800 232305583744 236346648000 237331425700 241240413888 245009795355 245800513920 246824682728 250249392000 251292097800 256042202000 256317939756 261343781712 265889979000 268044904320 271103508000 272233105950 276525578160 277677768069 279213442000 283615977600 284797710840 288047477250 290381979680 296664282125 301550517360 303784224896 307250642400 308530853410 314115122250 320397424695 325324209600 326679727140 335056130400 341757253008 345656972700 348458375616 354519972000 355997138550 361471344000 362977474600 368700770880 370237024092 376938146700 379730281120 384063303000 392015672568 402067356480 406655262000 408349658925 409667523200 418820163000 425423966400 427196566260 432071215875 435572969520 442440925056 446741507200 453721843250 455676337344 460875963600 462796280115 471172683375 472693296000 474662851400 482480827776 490019590710 493649365456 502584195600 512084404000 512635879512 522687563424 531779958000 533995707825 542207016000 544466211900 553051156320 555355536138 558426884000 569595421680 576094954500 580763959360 593328564250 603101034720 614501284800 617061706820 628230244500 640794849390 650648419200 653359454280 670112260800 680582764875 683514506016 691313945400 696916751232 709039944000 711994277100 725954949200 737401541760 740474048184 753876293400 759460562240 768126606000 771327133525 784031345136 804134712960 813310524000 816699317850 833033304207 837640326000 850847932800 854393132520 864142431750 871145939040 889992846375 907443686500 911352674688 921751927200 925592560230 942345366750 949325702800 980039181420 987298730912 1005168391200 1024168808000 1025271759024 1045375126848 1063559916000 1067991415650 1084414032000 1088932423800 1106102312640 1110711072276 1116853768000 1139190843360 1152189909000 1161527918720 1186657128500 1206202069440 1225048976775 1229002569600 1234123413640 1256460489000 1281589698780 1306718908560 1340224521600 1361165529750 1367029012032 1382627890800 1388388840345 1418079888000 1423988554200 1451909898400 1480948096368 1507752586800 1518921124480 1536253212000 1542654267050 1568062690272 1601987123475 1626621048000 1633398635700 1666066608414 1675280652000 1708786265040 1728284863500 1742291878080 1779985692750 1814887373000 1843503854400 1851185120460 1884690733500 1898651405600 1960078362840 1974597461824 2010336782400 2041748294625 2048337616000 2050543518048 2090750253696 2127119832000 2135982831300 2177864847600 2212204625280 2221422144552 2233707536000 2278381686720 2304379818000 2313981400575 2373314257000 2412404138880 2450097953550 2468246827280 2512920978000 2563179397560 2613437817120 2669978539125 2722331059500 2734058024064 2765255781600 2776777680690 2847977108400 2903819796800 2961896192736 3015505173600 3072506424000 3085308534100 3136125380544 3203974246950 3253242096000 3266797271400 3332133216828 3350561304000 3417572530080 3456569727000 3484583756160 3559971385500 3629774746000 3687007708800 3702370240920 3769381467000 3797302811200 3856635667625 3920156725680 3949194923648 4020673564800 4083496589250 4101087036096 4165166521035 4254239664000 4271965662600 4355729695200 4442844289104 4556763373440 4608759636000 4627962801150 4746628514000 4900195907100 4936493654560 5025841956000 5126358795120 5226875634240 5339957078250 5444662119000 5530511563200 5553555361380 5695954216800 5807639593600 5923792385472 6031010347200 6125244883875 6145012848000 6170617068200 6272250761088 6407948493900 6533594542800 6664266433656 6701122608000 6835145060160 6913139454000 6941944201725 7119942771000 7259549492000 7404740481840 7538762934000 7594605622400 7713271335250 7840313451360 8009935617375 8166993178500 8202174072192 8330333042070 8543931325200 8711459390400 8885688578208 9217519272000 9255925602300 9493257028000 9800391814200 9872987309120 10051683912000 10252717590240 10453751268480 10679914156500 10889324238000 11061023126400 11107110722760 11391908433600 11569907002875 11847584770944 12062020694400 12250489767750 12341234136400 12815896987800 13067189085600 13328532867312 13670290120320 13826278908000 13883888403450 14239885542000 14519098984000 14809480963680 15077525868000 15426542670500 15680626902720 16019871234750 16333986357000 16660666084140 17087862650400 17422918780800 17771377156416 18435038544000 18511851204600 18986514056000 19600783628400 19745974618240 20103367824000 20505435180480 20825832605175 21359828313000 21778648476000 22214221445520 22783816867200 23139814005750 24500979535500 24682468272800 25631793975600 26134378171200 26657065734624 27652557816000 27767776806900 28479771084000 29038197968000 29618961927360 30155051736000 30853085341000 31361253805440 32039742469500 32667972714000 33321332168280 34175725300800 34709721008625 35542754312832 37023702409200 37973028112000 39201567256800 41010870360960 41651665210350 42719656626000 43557296952000 44428442891040 46279628011500 49001959071000 49364936545600 51263587951200 52268756342400 53314131469248 55305115632000 55535553613800 56959542168000 59237923854720 60310103472000 61706170682000 64079484939000 65335945428000 66642664336560 68351450601600 69419442017250 74047404818400 78403134513600 83303330420700 85439313252000 87114593904000 88856885782080 92559256023000 98003918142000 98729873091200 102527175902400 104129163025875 106628262938496 111071107227600 113919084336000 123412341364000 128158969878000 130671890856000 133285328673120 138838884034500 148094809636800 156806269027200 166606660841400 170878626504000 177713771564160 185118512046000 196007836284000 205054351804800 208258326051750 222142214455200 246824682728000 256317939756000 261343781712000 266570657346240 277677768069000 296189619273600 333213321682800 341757253008000 370237024092000 392015672568000 416516652103500 444284428910400 493649365456000 512635879512000 533141314692480 555355536138000 666426643365600 740474048184000 784031345136000 833033304207000 888568857820800 1025271759024000 1110711072276000 1332853286731200 1480948096368000 1666066608414000 2221422144552000 2665706573462400 3332133216828000 4442844289104000 6664266433656000 13328532867312000
- Sum of all divisors σ(n): 56212216566105600
- Sum of proper divisors (its aliquot sum) s(n): 42883683698793600
- 13328532867312000 is an abundant number, because the sum of its proper divisors (42883683698793600) is greater than itself. Its abundance is 29555150831481600
Bases of 13328532867312000
- Binary: 1011110101101000111010111000101110111011101001100000002
- Hexadecimal: 0x2F5A3AE2EEE980
- Base-36: 3N8KJGWODC0
Squares and roots of 13328532867312000
- 13328532867312000 squared (133285328673120002) is 177649788395016244198105344000000
- 13328532867312000 cubed (133285328673120003) is 2367811043493995923772590204822150115328000000000
-
The
square root of 13328532867312000 is 115449265.3389877575 -
The
cube root of 13328532867312000 is 237097.7589742907
Scales and comparisons
How big is 13328532867312000?- 13,328,532,867,312,000 seconds is equal to 423,806,117 years, 16 weeks, 5 days.
-
To count from 1 to 13,328,532,867,312,000 would take you about one billion, two hundred seventy-one million, four hundred eighteen thousand, three hundred fifty-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 13328532867312000 cubic inches would be around 19758.1 feet tall.
Recreational maths with 13328532867312000
- 13328532867312000 backwards is 00021376823582331
- 13328532867312000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13328532867312000's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13328532867312000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13328532867312000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13328532867312000/
Chicago style:
Numbermatics. 2024. "Number 13328532867312000 - Facts about the integer". https://numbermatics.com/n/13328532867312000/
The information we have on file for 13328532867312000 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!
Keywords: Divisors of 13328532867312000, math, Factors of 13328532867312000, curriculum, school, college, exams, university, Prime factorization of 13328532867312000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred twenty-eight trillion, five hundred thirty-two billion, eight hundred sixty-seven million, three hundred twelve thousand.