12427639338848000
12,427,639,338,848,000 is an even composite number composed of seven prime numbers multiplied together.
12427639338848000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12427639338848000:
28 × 53 × 19 × 972 × 101 × 137 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 97 × 97 × 101 × 137 × 157)See below for interesting mathematical facts about the number 12427639338848000 from the Numbermatics database.
Names of 12427639338848000
- Cardinal: 12427639338848000 can be written as Twelve quadrillion, four hundred twenty-seven trillion, six hundred thirty-nine billion, three hundred thirty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.2427639338848 × 1016
Factors of 12427639338848000
Divisors of 12427639338848000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 97 100 101 125 128 137 152 157 160 190 194 200 202 250 256 274 304 314 320 380 388 400 404 475 485 500 505 548 608 628 640 685 760 776 785 800 808 950 970 1000 1010 1096 1216 1256 1280 1370 1520 1552 1570 1600 1616 1843 1900 1919 1940 2000 2020 2192 2375 2425 2432 2512 2525 2603 2740 2983 3040 3104 3140 3200 3232 3425 3686 3800 3838 3880 3925 4000 4040 4384 4750 4850 4864 5024 5050 5206 5480 5966 6080 6208 6280 6400 6464 6850 7372 7600 7676 7760 7850 8000 8080 8768 9215 9409 9500 9595 9700 9797 10048 10100 10412 10960 11932 12125 12160 12416 12560 12625 12928 13015 13289 13700 13837 14744 14915 15200 15229 15352 15520 15700 15857 16000 16160 17125 17536 18430 18818 19000 19190 19400 19594 19625 20096 20200 20824 21509 21920 23864 24250 24320 24832 25120 25250 25856 26030 26578 27400 27674 29488 29830 30400 30458 30704 31040 31400 31714 32000 32320 34250 35072 36860 37636 38000 38380 38800 39188 39250 40192 40400 41648 43018 43840 46075 47045 47728 47975 48500 48985 50240 50500 52060 53156 54800 55348 58976 59660 60800 60916 61408 62080 62800 63428 64640 65075 66445 68500 69185 73720 74575 75272 76000 76145 76760 77600 78376 78500 79285 80800 83296 86036 87680 92150 94090 95456 95950 97000 97970 100480 101000 104120 106312 107545 109600 110696 117952 119320 121600 121832 122816 124160 125600 126856 129280 130150 132890 137000 138370 147440 149150 150544 152000 152290 153520 155200 156752 157000 158570 161600 166592 172072 175360 178771 184300 186143 188180 190912 191900 194000 195940 200960 202000 208240 212624 215090 219200 221392 230375 235225 235904 238640 239875 243664 244925 245632 251200 252491 253712 260300 262903 265780 274000 276740 289351 294880 298300 301088 301283 304000 304580 307040 310400 313504 314000 317140 323200 325375 332225 333184 344144 345925 357542 368600 372286 372875 376360 380725 381824 383800 388000 391880 396425 404000 408671 416480 425248 430180 438400 442784 460750 470450 471808 477280 479750 487328 489850 491264 502400 504982 507424 520600 525806 531560 537725 548000 553480 578702 589760 596600 602176 602566 608000 609160 614080 620800 627008 628000 634280 646400 650750 664450 666368 688288 691850 715084 737200 744572 745750 752720 761450 763648 767600 776000 783760 792850 808000 817342 832960 850496 860360 876800 885568 893855 921500 930715 940900 950309 954560 959500 974656 979700 1004800 1009964 1014848 1041200 1051612 1063120 1075450 1096000 1106960 1157404 1176125 1179520 1193200 1204352 1205132 1218320 1224625 1228160 1254016 1256000 1262455 1268560 1289033 1301500 1314515 1328900 1342189 1376576 1383700 1430168 1446755 1474400 1477213 1489144 1491500 1505440 1506415 1522900 1535200 1538129 1552000 1567520 1585700 1616000 1634684 1661125 1665920 1700992 1720720 1729625 1771136 1787710 1843000 1861430 1881800 1900618 1903625 1909120 1919000 1949312 1959400 1982125 2019928 2029696 2043355 2082400 2086373 2103224 2126240 2150900 2172409 2192000 2213920 2314808 2352250 2359040 2386400 2408704 2410264 2436640 2449250 2456320 2508032 2512000 2524910 2537120 2578066 2603000 2629030 2657800 2684378 2688625 2753152 2767400 2860336 2893510 2948800 2954426 2978288 2983000 3010880 3012830 3045800 3070400 3076258 3104000 3135040 3171400 3232000 3269368 3322250 3331840 3401984 3441440 3459250 3542272 3575420 3686000 3722860 3763600 3801236 3807250 3818240 3838000 3898624 3918800 3964250 4039856 4059392 4086710 4164800 4172746 4206448 4252480 4301800 4344818 4384000 4427840 4469275 4629616 4653575 4704500 4751545 4772800 4820528 4873280 4898500 5024000 5049820 5074240 5156132 5206000 5258060 5315600 5368756 5377250 5506304 5534800 5720672 5787020 5897600 5908852 5956576 5966000 6021760 6025660 6091600 6140800 6152516 6270080 6312275 6342800 6445165 6538736 6572575 6644500 6710945 6882880 6918500 7150840 7233775 7372000 7386065 7445720 7527200 7532075 7602472 7614500 7676000 7690645 7837600 7928500 8079712 8173420 8329600 8345492 8412896 8504960 8603600 8689636 8855680 8938550 9259232 9307150 9409000 9503090 9545600 9641056 9746560 9797000 10099640 10148480 10216775 10312264 10412000 10431865 10516120 10631200 10737512 10754500 10862045 11069600 11441344 11574040 11795200 11817704 11913152 11932000 12043520 12051320 12183200 12281600 12305032 12540160 12624550 12685600 12890330 13077472 13145150 13289000 13421890 13765760 13837000 14301680 14467550 14744000 14772130 14891440 15054400 15064150 15204944 15229000 15352000 15381290 15675200 15857000 16159424 16346840 16659200 16690984 16825792 17009920 17207200 17379272 17711360 17877100 18055871 18518464 18614300 18818000 19006180 19091200 19282112 19493120 19594000 20199280 20296960 20433550 20624528 20824000 20863730 21032240 21262400 21475024 21509000 21724090 22139200 22346375 22882688 23148080 23267875 23635408 23757725 23826304 23864000 24102640 24366400 24491627 24610064 25249100 25371200 25501591 25780660 26154944 26290300 26578000 26843780 27531520 27674000 28067047 28603360 28935100 29224451 29488000 29544260 29782880 30108800 30128300 30409888 30458000 30704000 30762580 31350400 31561375 31714000 32225825 32318848 32693680 32862875 33381968 33554725 33651584 34414400 34758544 35754200 36111742 36168875 36930325 37036928 37228600 37636000 37660375 38012360 38453225 38564224 39188000 39641087 40398560 40867100 41249056 41275771 41648000 41727460 42064480 42524800 42950048 43018000 43448180 44278400 44692750 45765376 46296160 46535750 47270816 47515450 47652608 47728000 48205280 48732800 48983254 49220128 50498200 50742400 51003182 51083875 51561320 52159325 52309888 52580600 53156000 53687560 54310225 55348000 56134094 57206720 57870200 58448902 58976000 59088520 59565760 60217600 60256600 60819776 60916000 61408000 61525160 62700800 63122750 63428000 64451650 64637696 65387360 65725750 66763936 67109450 67303168 68828800 69517088 71508400 72223484 72337750 73860650 74073856 74457200 75272000 75320750 76024720 76906450 77128448 78376000 79282174 80797120 81734200 82498112 82551542 83296000 83454920 84128960 85049600 85900096 86036000 86896360 88556800 89385500 90279355 92592320 93071500 94541632 95030900 95456000 96410560 97465600 97966508 98440256 100996400 101484800 102006364 102167750 103122640 104318650 104619776 105161200 106312000 107375120 108620450 110696000 112268188 114413440 115740400 116897804 118177040 118788625 119131520 120513200 121639552 121832000 122458135 123050320 126245500 126856000 127507955 128903300 130192333 130774720 131451500 133527872 134218900 137657600 139034176 140335235 143016800 144446968 144675500 146122255 147721300 148914400 149198513 150544000 150641500 152049440 153812900 156752000 158564348 161129125 161594240 163468400 164996224 165103084 166909840 167773625 168257920 171800192 172072000 173792720 178771000 180558710 184651625 185184640 186143000 189083264 190061800 192266125 192821120 195933016 196880512 198205435 201992800 202378181 204012728 204335500 206245280 206378855 208637300 210322400 210723673 212624000 214750240 217240900 221392000 224536376 228826880 231480800 233795608 236354080 237577250 238263040 241026400 243279104 243664000 244916270 246100640 252491000 253712000 255015910 257806600 260384666 260796625 261549440 262903000 267055744 268437800 271551125 278068352 280670470 286033600 288893936 289351000 292244510 295442600 297828800 298397026 301088000 301283000 304098880 307625800 313504000 317128696 322258250 323188480 326936800 329992448 330206168 333819680 335547250 336515840 343600384 344144000 347585440 357542000 361117420 369303250 370369280 372286000 378166528 380123600 384532250 385642240 391866032 393761024 396410870 403985600 404756362 408025456 408671000 412490560 412757710 417274600 420644800 421447346 425248000 429500480 434481800 442784000 449072752 451396775 462961600 467591216 472708160 475154500 482052800 487328000 489832540 492201280 504982000 507424000 510031820 515613200 520769332 521593250 523098880 525806000 534111488 536875600 543102250 556136704 561340940 572067200 577787872 578702000 584489020 590885200 595657600 596794052 602566000 608197760 612290675 615251600 634257392 637539775 644516500 650961665 653873600 660412336 667639360 671094500 688288000 695170880 701676175 715084000 722234840 730611275 738606500 744572000 745992565 760247200 769064500 783732064 792821740 807971200 809512724 816050912 817342000 824981120 825515420 834549200 841289600 842894692 859000960 868963600 898145504 902793550 925923200 935182432 945416320 950309000 964105600 979665080 984402560 991027175 1009964000 1011890905 1020063640 1031226400 1031894275 1041538664 1043186500 1051612000 1053618365 1073751200 1086204500 1122681880 1144134400 1155575744 1157404000 1168978040 1181770400 1191315200 1193588104 1205132000 1216395520 1224581350 1230503200 1268514784 1275079550 1289033000 1301923330 1307747200 1320824672 1335278720 1342189000 1390341760 1403352350 1430168000 1444469680 1461222550 1477213000 1489144000 1491985130 1520494400 1538129000 1567464128 1585643480 1615942400 1619025448 1632101824 1634684000 1649962240 1651030840 1669098400 1682579200 1685789384 1718001920 1737927200 1796291008 1805587100 1851846400 1870364864 1890832640 1900618000 1928211200 1959330160 1968805120 1982054350 2019928000 2023781810 2040127280 2062452800 2063788550 2083077328 2086373000 2103224000 2107236730 2147502400 2172409000 2245363760 2256983875 2311151488 2314808000 2337956080 2363540800 2387176208 2410264000 2449162700 2461006400 2473654327 2537029568 2550159100 2578066000 2603846660 2615494400 2641649344 2670557440 2684378000 2780683520 2806704700 2834771747 2860336000 2888939360 2922445100 2954426000 2978288000 2983970260 3040988800 3061453375 3076258000 3134928256 3171286960 3187698875 3238050896 3254808325 3264203648 3269368000 3302061680 3338196800 3371578768 3475854400 3508380875 3592582016 3611174200 3653056375 3729962825 3740729728 3801236000 3845185439 3918660320 3964108700 4003749787 4039856000 4047563620 4080254560 4124905600 4127577100 4166154656 4172746000 4206448000 4214473460 4295004800 4344818000 4490727520 4513967750 4622302976 4629616000 4675912160 4727081600 4774352416 4820528000 4898325400 4922012800 4947308654 4955135875 5059454525 5074059136 5100318200 5156132000 5159471375 5207693320 5268091825 5283298688 5368756000 5613409400 5669543494 5720672000 5777878720 5844890200 5908852000 5956576000 5967940520 6081977600 6122906750 6152516000 6269856512 6342573920 6375397750 6476101792 6509616650 6528407296 6538736000 6604123360 6676393600 6743157536 6951708800 7016761750 7185164032 7222348400 7306112750 7459925650 7481459456 7602472000 7690370878 7837320640 7928217400 8007499574 8079712000 8095127240 8160509120 8249811200 8255154200 8332309312 8345492000 8412896000 8428946920 8590009600 8689636000 8981455040 9027935500 9259232000 9351824320 9454163200 9548704832 9641056000 9796650800 9844025600 9894617308 9910271750 10118909050 10148118272 10200636400 10312264000 10318942750 10415386640 10536183650 10566597376 10737512000 11226818800 11339086988 11555757440 11689780400 11817704000 11935881040 12245813500 12305032000 12368271635 12685147840 12750795500 12952203584 13019233300 13077472000 13208246720 13352787200 13486315072 13903417600 14033523500 14173858735 14444696800 14612225500 14919851300 15204944000 15380741756 15674641280 15856434800 16014999148 16190254480 16274041625 16321018240 16510308400 16664618624 16690984000 16857893840 17379272000 17962910080 18055871000 18649814125 18703648640 19097409664 19225927195 19593301600 19789234616 19820543500 20018748935 20237818100 20401272800 20440196281 20624528000 20637885500 20830773280 21072367300 21475024000 22453637600 22678173976 23111514880 23379560800 23635408000 23871762080 24491627000 24610064000 24736543270 25297272625 25370295680 25501591000 25904407168 26038466600 26340459125 26416493440 26972630144 28067047000 28347717470 28889393600 29224451000 29839702600 30409888000 30761483512 31349282560 31712869600 32029998296 32380508960 32548083250 32642036480 33020616800 33329237248 33381968000 33715787680 34758544000 35925820160 36111742000 37299628250 37407297280 38194819328 38451854390 39186603200 39578469232 39641087000 40037497870 40475636200 40802545600 40880392562 41249056000 41275771000 41661546560 42144734600 42950048000 44907275200 45356347952 46759121600 47270816000 47743524160 48983254000 49220128000 49473086540 50594545250 50740591360 51003182000 51808814336 52076933200 52680918250 52832986880 53945260288 56134094000 56695434940 57778787200 58448902000 59679405200 61522967024 61841358175 63425739200 64059996592 64761017920 65096166500 66041233600 66763936000 67431575360 69517088000 70869293675 72223484000 74599256500 76903708780 78373206400 79156938464 79282174000 80074995740 80951272400 81605091200 81760785124 82551542000 83323093120 84289469200 89814550400 90712695904 93518243200 95487048320 96129635975 97966508000 98946173080 100093744675 101189090500 102006364000 102200981405 104153866400 105361836500 112268188000 113390869880 115557574400 116897804000 119358810400 123045934048 123682716350 126851478400 128119993184 129522035840 130192333000 132082467200 134863150720 141738587350 144446968000 149198513000 153807417560 156746412800 158313876928 158564348000 160149991480 161902544800 163210182400 163521570248 165103084000 166646186240 168578938400 179629100800 181425391808 187036486400 190974096640 192259271950 195933016000 197892346160 200187489350 202378181000 204012728000 204401962810 208307732800 210723673000 224536376000 226781739760 233795608000 238717620800 246091868096 247365432700 253702956800 256239986368 259044071680 260384666000 264164934400 269726301440 283477174700 288893936000 298397026000 307614835120 309206790875 316627753856 317128696000 320299982960 323805089600 327043140496 330206168000 337157876800 354346468375 362850783616 384518543900 388363729339 391866032000 395784692320 400374978700 404756362000 408025456000 408803925620 416615465600 421447346000 449072752000 453563479520 467591216000 477435241600 480648179875 492183736192 494730865400 500468723375 511004907025 512479972736 520769332000 566954349400 577787872000 596794052000 615229670240 618413581750 633255507712 634257392000 640599965920 647610179200 654086280992 660412336000 674315753600 708692936750 725701567232 769037087800 776727458678 783732064000 791569384640 800749957400 809512724000 816050912000 817607851240 833230931200 842894692000 898145504000 907126959040 935182432000 954870483200 961296359750 984367472384 989461730800 1000937446750 1022009814050 1024959945472 1041538664000 1133908698800 1193588104000 1230459340480 1236827163500 1268514784000 1281199931840 1295220358400 1308172561984 1320824672000 1348631507200 1417385873500 1538074175600 1553454917356 1583138769280 1601499914800 1619025448000 1635215702480 1685789384000 1814253918080 1922592719500 1941818646695 1978923461600 2001874893500 2044019628100 2083077328000 2267817397600 2387176208000 2460918680960 2473654327000 2555024535125 2562399863680 2616345123968 2834771747000 3076148351200 3106909834712 3166277538560 3202999829600 3238050896000 3270431404960 3371578768000 3628507836160 3845185439000 3883637293390 3957846923200 4003749787000 4088039256200 4166154656000 4535634795200 4774352416000 4921837361920 4947308654000 5110049070250 5124799727360 5232690247936 5669543494000 6152296702400 6213819669424 6405999659200 6476101792000 6540862809920 6743157536000 7690370878000 7767274586780 7915693846400 8007499574000 8176078512400 9071269590400 9709093233475 9894617308000 10220098140500 11339086988000 12304593404800 12427639338848 12811999318400 13081725619840 15380741756000 15534549173560 15831387692800 16014999148000 16352157024800 18142539180800 19418186466950 19789234616000 20440196281000 22678173976000 24609186809600 24855278677696 25623998636800 26163451239680 30761483512000 31069098347120 32029998296000 32704314049600 38836372933900 39578469232000 40880392562000 45356347952000 48545466167375 49710557355392 61522967024000 62138196694240 64059996592000 65408628099200 77672745867800 79156938464000 81760785124000 90712695904000 97090932334750 99421114710784 123045934048000 124276393388480 128119993184000 130817256198400 155345491735600 163521570248000 194181864669500 248552786776960 310690983471200 327043140496000 388363729339000 497105573553920 621381966942400 654086280992000 776727458678000 1242763933884800 1553454917356000 2485527867769600 3106909834712000 6213819669424000 12427639338848000
- Sum of all divisors σ(n): 33709734591361920
- Sum of proper divisors (its aliquot sum) s(n): 21282095252513920
- 12427639338848000 is an abundant number, because the sum of its proper divisors (21282095252513920) is greater than itself. Its abundance is 8854455913665920
Bases of 12427639338848000
- Binary: 1011000010011011011111010001000011000001001111000000002
- Hexadecimal: 0x2C26DF44304F00
- Base-36: 3ED8AP27LKW
Squares and roots of 12427639338848000
- 12427639338848000 squared (124276393388480002) is 154446219536482354561967104000000
- 12427639338848000 cubed (124276393388480003) is 1919401913647942629864103177000885256192000000000
-
The
square root of 12427639338848000 is 111479322.4721427879 -
The
cube root of 12427639338848000 is 231630.7501781957
Scales and comparisons
How big is 12427639338848000?- 12,427,639,338,848,000 seconds is equal to 395,160,489 years, 39 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 12,427,639,338,848,000 would take you about one billion, one hundred eighty-five million, four hundred eighty-one thousand, four hundred sixty-nine 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 12427639338848000 cubic inches would be around 19302.6 feet tall.
Recreational maths with 12427639338848000
- 12427639338848000 backwards is 00084883393672421
- The number of decimal digits it has is: 17
- The sum of 12427639338848000's digits is 68
- 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 12427639338848000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 12427639338848000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/12427639338848000/
Chicago style:
Numbermatics. 2024. "Number 12427639338848000 - Facts about the integer". https://numbermatics.com/n/12427639338848000/
The information we have on file for 12427639338848000 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 12427639338848000, math, Factors of 12427639338848000, curriculum, school, college, exams, university, Prime factorization of 12427639338848000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, four hundred twenty-seven trillion, six hundred thirty-nine billion, three hundred thirty-eight million, eight hundred forty-eight thousand.