134213731384320
134,213,731,384,320 is an even composite number composed of seven prime numbers multiplied together.
134213731384320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 134213731384320:
210 × 35 × 5 × 7 × 41 × 409 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 41 × 409 × 919)See below for interesting mathematical facts about the number 134213731384320 from the Numbermatics database.
Names of 134213731384320
- Cardinal: 134213731384320 can be written as One hundred thirty-four trillion, two hundred thirteen billion, seven hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3421373138432 × 1014
Factors of 134213731384320
Divisors of 134213731384320
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 41 42 45 48 54 56 60 63 64 70 72 80 81 82 84 90 96 105 108 112 120 123 126 128 135 140 144 160 162 164 168 180 189 192 205 210 216 224 240 243 246 252 256 270 280 287 288 315 320 324 328 336 360 369 378 384 405 409 410 420 432 448 480 486 492 504 512 540 560 567 574 576 615 630 640 648 656 672 720 738 756 768 810 818 820 840 861 864 896 919 945 960 972 984 1008 1024 1080 1107 1120 1134 1148 1152 1215 1227 1230 1260 1280 1296 1312 1344 1435 1440 1476 1512 1536 1620 1636 1640 1680 1701 1722 1728 1792 1838 1845 1890 1920 1944 1968 2016 2045 2160 2214 2240 2268 2296 2304 2430 2454 2460 2520 2560 2583 2592 2624 2688 2757 2835 2863 2870 2880 2952 3024 3072 3240 3272 3280 3321 3360 3402 3444 3456 3584 3676 3681 3690 3780 3840 3888 3936 4032 4090 4305 4320 4428 4480 4536 4592 4595 4608 4860 4908 4920 5040 5120 5166 5184 5248 5376 5514 5535 5670 5726 5740 5760 5904 6048 6135 6433 6480 6544 6560 6642 6720 6804 6888 6912 7168 7352 7362 7380 7560 7680 7749 7776 7872 8064 8180 8271 8505 8589 8610 8640 8856 8960 9072 9184 9190 9216 9720 9816 9840 9963 10080 10332 10368 10496 10752 11028 11043 11070 11340 11452 11480 11520 11808 12096 12270 12866 12915 12960 13088 13120 13284 13440 13608 13776 13785 13824 14315 14704 14724 14760 15120 15360 15498 15552 15744 16128 16360 16542 16605 16769 17010 17178 17220 17280 17712 17920 18144 18368 18380 18405 19299 19440 19632 19680 19926 20160 20664 20736 20992 21504 22056 22086 22140 22680 22904 22960 23040 23247 23616 24192 24540 24813 25732 25767 25830 25920 26176 26240 26568 26880 27216 27552 27570 27648 28630 29408 29448 29520 30240 30996 31104 31488 32165 32256 32720 33084 33129 33210 33538 34020 34356 34440 34560 35424 35840 36288 36736 36760 36810 37679 38598 38745 38880 39264 39360 39852 40320 41328 41355 41472 41984 42945 44112 44172 44280 45360 45808 45920 46080 46494 47232 48384 49080 49626 49815 50307 51464 51534 51660 51840 52352 52480 53136 53760 54432 55104 55140 55215 57260 57897 58816 58896 59040 60480 61992 62208 62976 64330 64512 65440 66168 66258 66420 67076 68040 68712 68880 69120 69741 70848 72576 73472 73520 73620 74439 75358 77196 77301 77490 77760 78528 78720 79704 80640 82656 82710 82944 83845 85890 88224 88344 88560 90720 91616 91840 92988 94464 96495 96768 98160 99252 99387 99630 100614 102928 103068 103320 103680 104704 104960 106272 107520 108864 110208 110280 110430 113037 114520 115794 116235 117383 117632 117792 118080 120960 123984 124065 124416 125952 128660 128835 130880 132336 132516 132840 134152 136080 137424 137760 138240 139482 141696 145152 146944 147040 147240 148878 150716 150921 154392 154602 154980 155520 157056 157440 159408 161280 165312 165420 165645 167690 171780 173691 176448 176688 177120 181440 183232 183680 185976 188395 188928 192990 193536 196320 198504 198774 199260 201228 205856 206136 206640 207360 209408 209920 212544 217728 220416 220560 220860 223317 226074 229040 231588 231903 232470 234766 235264 235584 236160 241920 247968 248130 248832 251535 257320 257670 261760 263753 264672 265032 265680 268304 272160 274848 275520 278964 283392 289485 290304 293888 294080 294480 297756 301432 301842 308784 309204 309960 311040 314112 314880 318816 322560 330624 330840 331290 335380 339111 343560 347382 348705 352149 352896 353376 354240 362880 366464 367360 371952 372195 375871 376790 377856 385980 386505 392640 397008 397548 398520 402456 411712 412272 413280 414720 418816 425088 435456 440832 441120 441720 446634 452148 452763 458080 463176 463806 464940 469532 470528 471168 472320 483840 495936 496260 496935 503070 514640 515340 521073 523520 527506 529344 530064 531360 536608 544320 549696 551040 557928 565185 566784 578970 580608 586915 588160 588960 595512 602864 603684 617568 618408 619920 622080 628224 629760 637632 661248 661680 662580 670760 678222 687120 694764 695709 697410 704298 705792 706752 708480 725760 732928 734720 743904 744390 751742 753580 754605 771960 773010 785280 791259 794016 795096 797040 804912 823424 824544 826560 850176 868455 870912 881664 882240 883440 893268 904296 905526 916160 926352 927612 929880 939064 941056 942336 944640 967680 991872 992520 993870 1006140 1017333 1029280 1030680 1042146 1047040 1055012 1056447 1058688 1060128 1062720 1073216 1088640 1099392 1102080 1115856 1116585 1127613 1130370 1133568 1157940 1159515 1173830 1176320 1177920 1191024 1205728 1207368 1235136 1236816 1239840 1244160 1256448 1275264 1318765 1322496 1323360 1325160 1341520 1356444 1358289 1374240 1389528 1391418 1394820 1408596 1411584 1413504 1416960 1451520 1465856 1469440 1487808 1488780 1503484 1507160 1509210 1543920 1546020 1563219 1570560 1582518 1588032 1590192 1594080 1609824 1646848 1649088 1653120 1695555 1700352 1736910 1741824 1760745 1764480 1766880 1786536 1808592 1811052 1832320 1852704 1855224 1859760 1878128 1879355 1884672 1889280 1983744 1985040 1987740 2012280 2034666 2058560 2061360 2084292 2094080 2110024 2112894 2117376 2120256 2125440 2146432 2177280 2198784 2204160 2231712 2233170 2255226 2260740 2263815 2315880 2319030 2347660 2352640 2355840 2373777 2382048 2411456 2414736 2470272 2473632 2479680 2550528 2605365 2631097 2637530 2644992 2646720 2650320 2683040 2712888 2716578 2748480 2779056 2782836 2789640 2817192 2823168 2827008 2833920 2903040 2931712 2975616 2977560 3006968 3014320 3018420 3051999 3087840 3092040 3126438 3141120 3165036 3169341 3176064 3180384 3188160 3219648 3293696 3298176 3306240 3382839 3391110 3400704 3473820 3478545 3521490 3528960 3533760 3573072 3617184 3622104 3664640 3705408 3710448 3719520 3756256 3758710 3769344 3956295 3967488 3970080 3975480 4024560 4069332 4074867 4117120 4122720 4168584 4220048 4225788 4234752 4240512 4250880 4292864 4354560 4397568 4408320 4463424 4466340 4510452 4521480 4527630 4631760 4638060 4695320 4705280 4711680 4747554 4764096 4822912 4829472 4940544 4947264 4959360 5086665 5101056 5210730 5262194 5275060 5282235 5293440 5300640 5366080 5425776 5433156 5496960 5558112 5565672 5579280 5634384 5638065 5654016 5667840 5951232 5955120 6013936 6028640 6036840 6103998 6175680 6184080 6252876 6282240 6330072 6338682 6352128 6360768 6376320 6439296 6587392 6596352 6612480 6765678 6782220 6791445 6947640 6957090 7042980 7057920 7067520 7121331 7146144 7234368 7244208 7329280 7410816 7420896 7439040 7512512 7517420 7816095 7893291 7912590 7934976 7940160 7950960 8049120 8138664 8149734 8234240 8245440 8337168 8440096 8451576 8469504 8481024 8501760 8585728 8709120 8795136 8926848 8932680 9020904 9042960 9055260 9155997 9263520 9276120 9390640 9423360 9495108 9508023 9528192 9645824 9658944 9881088 9894528 9918720 10148517 10173330 10202112 10421460 10524388 10550120 10564470 10586880 10601280 10732160 10851552 10866312 10993920 11116224 11131344 11158560 11268768 11276130 11308032 11868885 11902464 11910240 12027872 12057280 12073680 12207996 12351360 12368160 12505752 12660144 12677364 12704256 12721536 12752640 12878592 13155485 13192704 13224960 13531356 13564440 13582890 13895280 13914180 14085960 14115840 14135040 14242662 14292288 14468736 14488416 14658560 14821632 14841792 14878080 15025024 15034840 15259995 15410711 15632190 15786582 15825180 15846705 15880320 15901920 16098240 16277328 16299468 16468480 16490880 16674336 16880192 16903152 16914195 16962048 17003520 17171456 17853696 17865360 18041808 18085920 18110520 18311994 18527040 18552240 18781280 18846720 18990216 19016046 19056384 19291648 19317888 19762176 19789056 19837440 20297034 20346660 20374335 20842920 21048776 21100240 21128940 21173760 21202560 21363993 21464320 21703104 21732624 21987840 22232448 22262688 22317120 22537536 22552260 23679873 23737770 23804928 23820480 24055744 24114560 24147360 24415992 24702720 24736320 25011504 25320288 25354728 25408512 25443072 25505280 25757184 26310970 26385408 27062712 27128880 27165780 27790560 27828360 28171920 28270080 28485324 28524069 28584576 28937472 28976832 29643264 29683584 29756160 30050048 30069680 30445551 30519990 30821422 31264380 31573164 31650360 31693410 31760640 31803840 32196480 32554656 32598936 32936960 32981760 33348672 33760384 33806304 33828390 33924096 35606655 35707392 35730720 36083616 36171840 36221040 36623988 37054080 37104480 37562560 37980432 38032092 38112768 38583296 38635776 39466455 39578112 39674880 40594068 40693320 40748670 41685840 42097552 42200480 42257880 42347520 42405120 42727986 42928640 43406208 43465248 43975680 44464896 44525376 44634240 45075072 45104520 45779985 46232133 47359746 47475540 47540115 47640960 48111488 48229120 48294720 48831984 49405440 49472640 50023008 50640576 50709456 50742585 50886144 51010560 51514368 52621940 54125424 54257760 54331560 55581120 55656720 56343840 56540160 56970648 57048138 57169152 57874944 57953664 59286528 59367168 59512320 60100096 60139360 60891102 61039980 61642844 62528760 63146328 63300720 63386820 63521280 63607680 64091979 64392960 65109312 65197872 65963520 66697344 67520768 67612608 67656780 71039619 71213310 71414784 71461440 72167232 72343680 72442080 73247976 74108160 74208960 75125120 75960864 76064184 76225536 77053555 77271552 78932910 79156224 81188136 81386640 81497340 83371680 84195104 84400960 84515760 84810240 85455972 85857280 86812416 86930496 88929792 89050752 89268480 90150144 90209040 91336653 91559970 92464266 94719492 94951080 95080230 95281920 96222976 96458240 96589440 97663968 98810880 98945280 100046016 101281152 101418912 101485170 101772288 105243880 106819965 107874977 108250848 108515520 108663120 111162240 111313440 112687680 113941296 114096276 114338304 115749888 115907328 118399365 118734336 119024640 120200192 120278720 121782204 122079960 123285688 125057520 126292656 126601440 126773640 127042560 127215360 128183958 128785920 130218624 130395744 131927040 133394688 135041536 135225216 135313560 138696399 142079238 142426620 142620345 142922880 144334464 144687360 144884160 146495952 148216320 148417920 150250240 151921728 152128368 152227755 154107110 154543104 157865820 162376272 162773280 162994680 166743360 168390208 168801920 169031520 169620480 170911944 173624832 173860992 177859584 178101504 178536960 180300288 180418080 182673306 183119940 184928532 189438984 189902160 190160460 190563840 192445952 192916480 193178880 195327936 197890560 200092032 202562304 202837824 202970340 210487760 213118857 213639930 215749954 216501696 217031040 217326240 222324480 222626880 225375360 227882592 228192552 228676608 231160665 231814656 236798730 237468672 240557440 243564408 244159920 246571376 250115040 252585312 253202880 253547280 254430720 256367916 257571840 260437248 260791488 266789376 270083072 270450432 270627120 277392798 284158476 284853240 285240690 285845760 288668928 289374720 289768320 292991904 296432640 296835840 300500480 303843456 304256736 304455510 308214220 315731640 320459895 323624931 324752544 325546560 325989360 333486720 336780416 337603840 338063040 341823888 347249664 347721984 355198095 356203008 357073920 360600576 360836160 365346612 366239880 369857064 378877968 379804320 380320920 381127680 384891904 386357760 390655872 395781120 400184064 405124608 405675648 405940680 416089197 420975520 426237714 427279860 431499908 433003392 434062080 434652480 444648960 445253760 450750720 455765184 456385104 456683265 462321330 463629312 473597460 481114880 487128816 488319840 493142752 500230080 505170624 506405760 507094560 508861440 512735832 520874496 521582976 533578752 539374885 540900864 541254240 554785596 568316952 569706480 570481380 571691520 577337856 578749440 579536640 585983808 593671680 601000960 607686912 608513472 608911020 616428440 631463280 639356571 640919790 647249862 649505088 651093120 651978720 666973440 673560832 675207680 676126080 683647776 693481995 695443968 710396190 712406016 721672320 730693224 732479760 739714128 757755936 759608640 760641840 772715520 781311744 800368128 810249216 811351296 811881360 832178394 841951040 852475428 854559720 862999816 866006784 868124160 869304960 889297920 890507520 901501440 911530368 912770208 913366530 924642660 947194920 962229760 970874793 974257632 976639680 986285504 1000460160 1010341248 1012811520 1014189120 1025471664 1041748992 1043165952 1065594285 1078749770 1081801728 1082508480 1109571192 1136633904 1139412960 1140962760 1143383040 1154675712 1159073280 1171967616 1187343360 1215373824 1217026944 1217822040 1232856880 1248267591 1262926560 1278713142 1281839580 1294499724 1299010176 1302186240 1303957440 1333946880 1347121664 1350415360 1352252160 1367295552 1386963990 1390887936 1420792380 1443344640 1461386448 1464959520 1479428256 1515511872 1519217280 1521283680 1562623488 1600736256 1618124655 1622702592 1623762720 1664356788 1683902080 1704950856 1709119440 1725999632 1732013568 1736248320 1738609920 1781015040 1803002880 1823060736 1825540416 1826733060 1849285320 1894389840 1924459520 1941749586 1948515264 1953279360 1972571008 2000920320 2020682496 2025623040 2028378240 2050943328 2080445985 2086331904 2131188570 2157499540 2165016960 2219142384 2273267808 2278825920 2281925520 2318146560 2343935232 2430747648 2434053888 2435644080 2465713760 2496535182 2525853120 2557426284 2563679160 2588999448 2598020352 2604372480 2607914880 2667893760 2694243328 2704504320 2734591104 2773927980 2841584760 2886689280 2912624379 2922772896 2929919040 2958856512 3031023744 3038434560 3042567360 3125246976 3196782855 3236249310 3245405184 3247525440 3328713576 3367804160 3409901712 3418238880 3451999264 3464027136 3477219840 3562030080 3646121472 3651080832 3653466120 3698570640 3744802773 3788779680 3883499172 3897030528 3906558720 3945142016 4001840640 4041364992 4051246080 4056756480 4101886656 4160891970 4172663808 4262377140 4314999080 4330033920 4438284768 4546535616 4557651840 4563851040 4687870464 4854373965 4868107776 4871288160 4931427520 4993070364 5051706240 5114852568 5127358320 5177998896 5196040704 5208744960 5215829760 5409008640 5469182208 5547855960 5683169520 5773378560 5825248758 5845545792 5859838080 5917713024 6062047488 6076869120 6085134720 6241337955 6393565710 6472498620 6495050880 6657427152 6735608320 6819803424 6836477760 6903998528 6954439680 7292242944 7302161664 7306932240 7397141280 7489605546 7577559360 7766998344 7794061056 7813117440 7890284032 8003681280 8082729984 8113512960 8203773312 8321783940 8524754280 8629998160 8660067840 8737873137 8876569536 9093071232 9115303680 9127702080 9375740928 9708747930 9736215552 9742576320 9862855040 9986140728 10103412480 10229705136 10254716640 10355997792 10392081408 10431659520 10938364416 11095711920 11366339040 11650497516 11691091584 11719676160 11835426048 12124094976 12153738240 12170269440 12482675910 12787131420 12944997240 12990101760 13314854304 13471216640 13639606848 13672955520 13807997056 14563121895 14604323328 14613864480 14794282560 14979211092 15155118720 15533996688 15588122112 15626234880 15780568064 16227025920 16407546624 16643567880 17049508560 17259996320 17320135680 17475746274 17753139072 18186142464 18230607360 18255404160 18724013865 19417495860 19485152640 19725710080 19972281456 20206824960 20459410272 20509433280 20711995584 20863319040 21876728832 22191423840 22732678080 23300995032 23382183168 23439352320 23670852096 24248189952 24340538880 24965351820 25574262840 25889994480 25980203520 26213619411 26629708608 27279213696 27345911040 27615994112 29126243790 29208646656 29227728960 29588565120 29958422184 30310237440 31067993376 31176244224 32815093248 33287135760 34099017120 34519992640 34951492548 35506278144 36372284928 36461214720 36510808320 37448027730 38834991720 38970305280 39451420160 39944562912 40413649920 40918820544 41018866560 41423991168 43689365685 44382847680 45465356160 46601990064 46764366336 46878704640 47341704192 48681077760 49930703640 51148525680 51779988960 51960407040 52427238822 53259417216 54558427392 54691822080 55231988224 58252487580 58455457920 59177130240 59916844368 60620474880 62135986752 65630186496 66574271520 68198034240 69039985280 69902985096 71012556288 72744569856 73021616640 74896055460 77669983440 77940610560 78902840320 79889125824 81837641088 82037733120 82847982336 87378731370 88765695360 90930712320 93203980128 93528732672 99861407280 102297051360 103559977920 104854477644 106518834432 109116854784 109383644160 110463976448 116504975160 116910915840 118354260480 119833688736 121240949760 124271973504 131068097055 133148543040 136396068480 138079970560 139805970192 142025112576 146043233280 149792110920 155339966880 155881221120 159778251648 163675282176 164075466240 165695964672 174757462740 177531390720 181861424640 186407960256 199722814560 204594102720 207119955840 209708955288 213037668864 218233709568 233009950320 233821831680 236708520960 239667377472 248543947008 262136194110 266297086080 272792136960 276159941120 279611940384 299584221840 310679933760 319556503296 327350564352 328150932480 331391929344 349514925480 355062781440 363722849280 372815920512 399445629120 409188205440 414239911680 419417910576 426075337728 466019900640 467643663360 479334754944 497087894016 524272388220 532594172160 545584273920 552319882240 559223880768 599168443680 621359867520 639113006592 654701128704 699029850960 710125562880 745631841024 798891258240 818376410880 828479823360 838835821152 932039801280 958669509888 994175788032 1048544776440 1065188344320 1091168547840 1118447761536 1198336887360 1242719735040 1278226013184 1398059701920 1491263682048 1597782516480 1636752821760 1656959646720 1677671642304 1864079602560 1917339019776 2097089552880 2130376688640 2236895523072 2396673774720 2485439470080 2796119403840 2982527364096 3195565032960 3273505643520 3355343284608 3728159205120 3834678039552 4194179105760 4473791046144 4793347549440 4970878940160 5592238807680 6391130065920 6710686569216 7456318410240 8388358211520 8947582092288 9586695098880 11184477615360 13421373138432 14912636820480 16776716423040 19173390197760 22368955230720 26842746276864 33553432846080 44737910461440 67106865692160 134213731384320
- Sum of all divisors σ(n): 566606351001600
- Sum of proper divisors (its aliquot sum) s(n): 432392619617280
- 134213731384320 is an abundant number, because the sum of its proper divisors (432392619617280) is greater than itself. Its abundance is 298178888232960
Bases of 134213731384320
- Binary: 111101000010001000100011100100001111100000000002
- Hexadecimal: 0x7A1111C87C00
- Base-36: 1BKOXQDC00
Squares and roots of 134213731384320
- 134213731384320 squared (1342137313843202) is 18013325692102403343541862400
- 134213731384320 cubed (1342137313843203) is 2417635655778102116792423760382622957568000
-
The
square root of 134213731384320 is 11585065.0142465751 -
The
cube root of 134213731384320 is 51199.4917989921
Scales and comparisons
How big is 134213731384320?- 134,213,731,384,320 seconds is equal to 4,267,581 years, 26 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 134,213,731,384,320 would take you about ten million, six hundred sixty-eight thousand, nine hundred fifty-three 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 134213731384320 cubic inches would be around 4266.6 feet tall.
Recreational maths with 134213731384320
- 134213731384320 backwards is 023483137312431
- 134213731384320 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134213731384320's digits is 45
- 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 134213731384320 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 134213731384320 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/134213731384320/
Chicago style:
Numbermatics. 2024. "Number 134213731384320 - Facts about the integer". https://numbermatics.com/n/134213731384320/
The information we have on file for 134213731384320 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 134213731384320, math, Factors of 134213731384320, curriculum, school, college, exams, university, Prime factorization of 134213731384320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four trillion, two hundred thirteen billion, seven hundred thirty-one million, three hundred eighty-four thousand, three hundred twenty.