13728165964800
13,728,165,964,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13728165964800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
13728165964800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13728165964800:
210 × 3 × 52 × 7 × 17 × 43 × 181 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 43 × 181 × 193)See below for interesting mathematical facts about the number 13728165964800 from the Numbermatics database.
Names of 13728165964800
- Cardinal: 13728165964800 can be written as Thirteen trillion, seven hundred twenty-eight billion, one hundred sixty-five million, nine hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37281659648 × 1013
Factors of 13728165964800
Divisors of 13728165964800
- Number of divisors d(n): 2112
-
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 40 42 43 48 50 51 56 60 64 68 70 75 80 84 85 86 96 100 102 105 112 119 120 128 129 136 140 150 160 168 170 172 175 181 192 193 200 204 210 215 224 238 240 255 256 258 272 280 300 301 320 336 340 344 350 357 362 384 386 400 408 420 425 430 448 476 480 510 512 516 525 543 544 560 579 595 600 602 640 645 672 680 688 700 714 724 731 768 772 800 816 840 850 860 896 903 905 952 960 965 1020 1024 1032 1050 1075 1086 1088 1120 1158 1190 1200 1204 1267 1275 1280 1290 1344 1351 1360 1376 1400 1428 1448 1462 1505 1536 1544 1600 1632 1680 1700 1720 1785 1792 1806 1810 1904 1920 1930 2040 2064 2100 2150 2172 2176 2193 2240 2316 2380 2400 2408 2534 2550 2560 2580 2688 2702 2715 2720 2752 2800 2856 2895 2896 2924 2975 3010 3072 3077 3088 3200 3225 3264 3281 3360 3400 3440 3570 3584 3612 3620 3655 3801 3808 3840 3860 4053 4080 4128 4200 4300 4344 4352 4386 4480 4515 4525 4632 4760 4800 4816 4825 5068 5100 5117 5120 5160 5376 5404 5430 5440 5504 5600 5712 5790 5792 5848 5950 6020 6154 6176 6335 6400 6450 6528 6562 6720 6755 6800 6880 7140 7168 7224 7240 7310 7525 7602 7616 7680 7720 7783 8106 8160 8256 8299 8400 8600 8688 8704 8772 8925 8960 9030 9050 9231 9264 9520 9600 9632 9650 9843 10136 10200 10234 10320 10752 10808 10860 10880 10965 11008 11200 11424 11580 11584 11696 11900 12040 12308 12352 12670 12800 12900 13056 13124 13440 13510 13575 13600 13760 14280 14448 14475 14480 14620 15050 15204 15232 15351 15360 15385 15440 15566 16212 16320 16405 16512 16598 16800 17200 17376 17408 17544 17850 17920 18060 18100 18275 18462 18528 19005 19040 19200 19264 19300 19686 20265 20272 20400 20468 20640 21504 21539 21616 21720 21760 21930 22016 22400 22575 22848 22967 23160 23168 23349 23392 23800 24080 24616 24704 24897 25340 25585 25600 25800 26112 26248 26880 27020 27150 27200 27520 28560 28896 28950 28960 29240 30100 30408 30464 30702 30770 30880 31132 31675 32424 32640 32810 33024 33196 33600 33775 34400 34752 34933 35088 35700 35840 36120 36200 36550 36924 37056 38010 38080 38400 38528 38600 38915 39372 40530 40544 40800 40936 41280 41495 43078 43232 43440 43520 43860 44032 44800 45150 45696 45934 46155 46320 46336 46698 46784 47600 48160 49215 49232 49408 49794 50680 51170 51600 52224 52496 53760 54040 54300 54400 54481 54825 55040 57120 57792 57900 57920 58093 58480 60200 60816 60928 61404 61540 61760 62264 63350 64617 64848 65280 65620 66048 66392 67200 67550 68800 68901 69504 69866 70176 71400 72240 72400 73100 73848 74112 76020 76160 76755 76800 76925 77056 77200 77830 78744 81060 81088 81600 81872 82025 82560 82990 86156 86464 86880 87040 87720 89600 90300 91392 91868 92310 92640 92672 93396 93568 95025 95200 96320 98430 98464 98816 99588 101325 101360 102340 103200 104799 104992 107520 107695 108080 108600 108800 108962 109650 110080 114240 114835 115584 115800 115840 116186 116745 116960 120400 121632 121856 122808 123080 123520 124485 124528 126700 127925 129234 129696 130560 131240 132096 132311 132784 134400 135100 137600 137802 139008 139732 140352 141083 142800 144480 144800 146200 147696 148224 152040 152320 153510 153850 154112 154400 155660 157488 162120 162176 163200 163443 163744 164050 165120 165980 172312 172928 173760 174279 174665 175440 179200 180600 182784 183736 184620 185280 185344 186792 187136 190050 190400 192640 194575 196860 196928 197632 199176 202650 202720 204680 206400 207475 209598 209984 215390 216160 217200 217600 217924 219300 220160 228480 229670 230775 231168 231600 231680 232372 233490 233920 240800 243264 244531 245616 246075 246160 247040 248970 249056 253400 255850 258468 259392 261120 262480 264622 265568 268800 270200 272405 275200 275604 278016 279464 280704 282166 285600 288960 289600 290465 292400 295392 296448 304080 304640 307020 307700 308224 308800 311320 314976 323085 324240 324352 326400 326886 327488 328100 330240 331960 344505 344624 345856 347520 348558 349330 350880 361200 365568 367472 369240 370560 373584 374272 380100 380800 383775 385280 389150 393720 393856 396933 398352 405300 405440 409360 412800 414950 419196 419968 423249 430780 432320 434400 435200 435848 438600 456960 459340 461550 462336 463200 463360 464744 466980 467840 481600 486528 489062 491232 492150 492320 494080 497940 498112 506800 511700 516936 518784 523995 524960 529244 531136 537600 538475 540400 544810 550400 551208 556032 558928 561408 564332 571200 574175 577920 579200 580930 583725 584800 590784 592896 593861 608160 609280 614040 615400 617600 622425 622640 629952 646170 648480 648704 652800 653772 654976 656200 660480 661555 663920 689010 689248 691712 695040 697116 698660 701760 705415 722400 733593 734944 738480 741120 747168 748544 760200 761600 767550 770560 778300 787440 787712 793866 796704 810600 810880 817215 818720 825600 829900 838392 839936 846498 861560 864640 868800 871395 871696 873325 877200 913920 918680 923100 924672 926177 926400 926720 929488 933960 935680 963200 973056 978124 982464 984300 984640 987581 988160 995880 996224 1013600 1023400 1033872 1037568 1047990 1049920 1058488 1062272 1076950 1080800 1089620 1100800 1102416 1117856 1122816 1128664 1142400 1148350 1155840 1158400 1161860 1167450 1169600 1181568 1187722 1216320 1222655 1228080 1230800 1235200 1244850 1245280 1259904 1292340 1296960 1297408 1305600 1307544 1309952 1312400 1323110 1327840 1362025 1378020 1378496 1383424 1390080 1394232 1397320 1403520 1410830 1444800 1452325 1467186 1469888 1476960 1482240 1494336 1502119 1520400 1523200 1535100 1541120 1556600 1574880 1575424 1587732 1593408 1615425 1621200 1621760 1634430 1637440 1651200 1659800 1676784 1679872 1692996 1722525 1723120 1729280 1737600 1742790 1743392 1746650 1754400 1781583 1827840 1837360 1846200 1852354 1852800 1858976 1867920 1871360 1926400 1946112 1956248 1964928 1968600 1969280 1975162 1984665 1991760 1992448 2027200 2046800 2067744 2075136 2095980 2099840 2116245 2116976 2124544 2153900 2161600 2179240 2204832 2235712 2245632 2257328 2284800 2296700 2311680 2316800 2323720 2334900 2339200 2363136 2375444 2432640 2445310 2456160 2461600 2470400 2489700 2490560 2519808 2584680 2593920 2615088 2619904 2619975 2624800 2646220 2655680 2724050 2756040 2756992 2778531 2780160 2788464 2794640 2807040 2821660 2889600 2904650 2934372 2939776 2953920 2962743 2964480 2969305 2988672 3004238 3040800 3046400 3070200 3113200 3149760 3150848 3175464 3186816 3230850 3242400 3243520 3268860 3274880 3302400 3307775 3319600 3353568 3359744 3385992 3445050 3446240 3458560 3475200 3485580 3486784 3493300 3508800 3527075 3563166 3667965 3674720 3692400 3704708 3705600 3717952 3735840 3742720 3852800 3892224 3912496 3929856 3937200 3938560 3950324 3969330 3983520 3984896 4054400 4086075 4093600 4135488 4150272 4157027 4191960 4199680 4232490 4233952 4249088 4307800 4323200 4356975 4358480 4409664 4471424 4506357 4514656 4569600 4593400 4623360 4630885 4633600 4647440 4669800 4678400 4726272 4750888 4865280 4890620 4912320 4923200 4937905 4940800 4979400 4981120 5039616 5169360 5187840 5230176 5239808 5239950 5249600 5292440 5311360 5448100 5512080 5513984 5557062 5576928 5589280 5614080 5643320 5779200 5809300 5868744 5879552 5907840 5925486 5938610 5977344 6008476 6081600 6113275 6140400 6226400 6299520 6350928 6373632 6461700 6484800 6487040 6537720 6549760 6615550 6639200 6707136 6771984 6890100 6892480 6917120 6950400 6971160 6973568 6986600 7017600 7054150 7126332 7335930 7349440 7384800 7409416 7411200 7435904 7471680 7510595 7705600 7824992 7859712 7874400 7877120 7900648 7938660 7967040 7969792 8108800 8172150 8187200 8270976 8314054 8383920 8399360 8464980 8467904 8498176 8615600 8646400 8713950 8716960 8819328 8907915 8942848 9012714 9029312 9139200 9186800 9261770 9294880 9339600 9356800 9452544 9501776 9730560 9781240 9824640 9846400 9875810 9923325 9958800 9962240 10079232 10338720 10375680 10460352 10479900 10499200 10514833 10581225 10584880 10622720 10896200 11024160 11027968 11114124 11153856 11178560 11228160 11286640 11558400 11618600 11737488 11759104 11815680 11850972 11877220 11954688 12016952 12163200 12226550 12280800 12452800 12471081 12599040 12701856 12747264 12923400 12969600 13075440 13099520 13231100 13278400 13414272 13543968 13780200 13784960 13892655 13900800 13942320 13947136 13973200 14035200 14108300 14252664 14671860 14698880 14769600 14813715 14818832 14822400 14846525 14871808 14943360 15021190 15649984 15719424 15748800 15754240 15801296 15877320 15934080 16217600 16344300 16374400 16541952 16628108 16767840 16798720 16929960 16935808 17231200 17292800 17427900 17433920 17638656 17815830 17885696 18025428 18058624 18339825 18373600 18523540 18589760 18679200 18713600 19003552 19461120 19562480 19649280 19692800 19751620 19846650 19917600 19924480 20677440 20751360 20785135 20920704 20959800 20998400 21029666 21162450 21169760 21245440 21792400 22048320 22055936 22228248 22307712 22357120 22531785 22573280 23116800 23154425 23237200 23474976 23518208 23631360 23701944 23754440 23909376 24033904 24326400 24453100 24561600 24689525 24905600 24942162 25198080 25403712 25494528 25536023 25846800 25939200 26150880 26199040 26462200 26556800 26828544 27087936 27560400 27569920 27785310 27884640 27894272 27946400 28070400 28216600 28505328 29343720 29397760 29539200 29627430 29637664 29693050 29743616 29886720 30042380 31299968 31497600 31544499 31602592 31754640 31868160 32435200 32688600 32748800 33083904 33256216 33535680 33859920 33871616 34462400 34585600 34855800 34867840 35277312 35631660 35771392 36050856 36117248 36679650 36747200 37047080 37179520 37358400 37552975 38007104 39124960 39298560 39385600 39503240 39693300 39835200 39848960 41354880 41570270 41841408 41919600 41996800 42059332 42324900 42339520 42490880 43584800 44096640 44456496 44539575 44615424 44714240 45063570 45146560 46308850 46474400 46949952 47262720 47403888 47508880 48067808 48652800 48906200 49123200 49379050 49811200 49884324 50396160 50807424 51072046 51693600 51878400 52301760 52574165 52924400 53113600 53657088 54175872 55120800 55139840 55570620 55769280 55788544 55892800 56140800 56433200 57010656 58687440 58795520 59078400 59254860 59275328 59386100 59487232 59773440 60084760 62355405 62599936 62995200 63088998 63205184 63509280 63736320 65377200 65497600 66167808 66512432 67071360 67719840 67743232 68924800 69463275 69711600 69735680 70554624 71263320 72101712 72234496 73359300 73494400 74068575 74094160 74359040 74716800 75105950 76014208 76608069 78249920 78597120 78771200 79006480 79386600 79670400 82709760 83140540 83682816 83839200 83993600 84118664 84649800 84679040 87169600 88193280 88912992 89079150 89230848 89428480 90127140 90293120 92617700 92948800 93899904 94807776 95017760 96135616 97305600 97812400 98246400 98758100 99622400 99768648 101614848 102144092 103387200 103756800 103925675 104603520 105148330 105848800 106227200 107314176 108351744 110241600 110279680 111141240 111538560 111785600 112658925 112866400 114021312 117374880 117591040 118156800 118509720 118550656 118772200 119546880 120169520 124710810 125199872 125990400 126177996 126410368 127018560 127472640 127680115 130754400 130995200 133024864 134142720 135439680 135486464 137849600 138926550 139423200 139471360 142526640 144203424 144468992 146718600 146988800 148137150 148188320 148718080 149433600 150211900 152028416 153216138 156499840 157722495 158012960 158773200 159340800 165419520 166281080 167365632 167678400 168237328 169299600 169358080 174339200 176386560 177825984 178158300 178461696 178752161 178856960 180254280 180586240 185235400 185897600 187799808 189615552 190035520 192271232 195624800 196492800 197516200 199244800 199537296 203229696 204288184 206774400 207851350 209207040 210296660 211697600 212454400 216703488 220483200 222282480 223077120 223571200 225317850 225732800 228042624 234749760 236313600 237019440 237101312 237544400 240339040 249421620 250399744 251980800 252355992 252820736 254037120 255360230 261508800 262870825 266049728 268285440 270879360 275699200 277853100 278846400 278942720 285053280 288406848 293437200 293977600 296274300 296376640 297436160 298867200 300423800 304056832 306432276 311777025 312999680 315444990 316025920 317546400 318681600 330839040 332562160 335356800 336474656 338599200 338716160 348678400 352773120 355651968 356316600 357504322 360508560 361172480 370470800 371795200 375599616 379231104 380071040 383040345 384542464 391249600 392985600 395032400 399074592 406459392 408576368 413548800 415702700 418414080 420593320 423395200 433406976 440966400 444564960 446154240 447142400 450635700 451465600 456085248 469499520 474038880 474202624 475088800 480678080 498843240 504711984 505641472 508074240 510720460 523017600 525741650 532099456 536256483 536570880 541758720 551398400 555706200 557692800 570106560 576813696 586874400 587955200 592548600 592753280 597734400 600847600 608113664 612864552 623554050 625999360 630889980 632051840 635092800 637363200 638400575 665124320 670713600 672949312 677198400 677432320 697356800 711303936 712633200 715008644 721017120 722344960 740941600 743590400 751199232 758462208 760142080 766080690 769084928 782499200 788612475 790064800 798149184 817152736 827097600 831405400 836828160 841186640 846790400 881932800 889129920 892308480 893760805 894284800 901271400 902931200 912170496 938999040 948077760 948405248 950177600 961356160 997686480 1009423968 1011282944 1016148480 1021440920 1046035200 1051483300 1064198912 1072512966 1083517440 1111412400 1115385600 1140213120 1153627392 1173748800 1185097200 1185506560 1201695200 1225729104 1247108100 1251998720 1261779960 1264103680 1270185600 1276801150 1330248640 1341427200 1345898624 1354396800 1394713600 1422607872 1425266400 1430017288 1442034240 1481883200 1487180800 1516924416 1520284160 1532161380 1538169856 1564998400 1577224950 1580129600 1596298368 1634305472 1654195200 1662810800 1682373280 1693580800 1763865600 1778259840 1787521610 1802542800 1805862400 1824340992 1877998080 1896155520 1900355200 1915201725 1922712320 1995372960 2018847936 2032296960 2042881840 2092070400 2102966600 2128397824 2145025932 2167034880 2222824800 2230771200 2280426240 2307254784 2347497600 2370194400 2371013120 2403390400 2451458208 2494216200 2523559920 2528207360 2540371200 2553602300 2660497280 2681282415 2682854400 2691797248 2708793600 2845215744 2850532800 2860034576 2884068480 2963766400 3033848832 3040568320 3064322760 3129996800 3154449900 3160259200 3192596736 3268610944 3325621600 3364746560 3387161600 3556519680 3575043220 3605085600 3611724800 3755996160 3792311040 3800710400 3830403450 3845424640 3990745920 4037695872 4085763680 4184140800 4205933200 4256795648 4290051864 4445649600 4461542400 4468804025 4560852480 4614509568 4694995200 4740388800 4742026240 4806780800 4902916416 4988432400 5047119840 5056414720 5080742400 5107204600 5320994560 5362564830 5383594496 5417587200 5701065600 5720069152 5768136960 5927532800 6128645520 6259993600 6308899800 6320518400 6385193472 6537221888 6651243200 6729493120 7113039360 7150086440 7210171200 7584622080 7601420800 7660806900 7690849280 7981491840 8075391744 8171527360 8411866400 8580103728 8891299200 8937608050 9121704960 9389990400 9480777600 9613561600 9805832832 9976864800 10094239680 10161484800 10214409200 10641989120 10725129660 10767188992 10835174400 11402131200 11440138304 11536273920 11855065600 12257291040 12617799600 12641036800 12770386944 13074443776 13302486400 13406412075 13458986240 14226078720 14300172880 14420342400 15169244160 15202841600 15321613800 15962983680 16150783488 16343054720 16823732800 17160207456 17782598400 17875216100 18779980800 18961555200 19227123200 19611665664 19953729600 20188479360 20428818400 21283978240 21450259320 22804262400 22880276608 23072547840 23710131200 24514582080 25235599200 25282073600 26148887552 26604972800 26812824150 26917972480 28600345760 28840684800 30643227600 31925967360 32301566976 32686109440 33647465600 34320414912 35565196800 35750432200 37923110400 38454246400 39223331328 39907459200 40376958720 40857636800 42900518640 45608524800 45760553216 49029164160 50471198400 53209945600 53625648300 53835944960 57200691520 57681369600 61286455200 63851934720 65372218880 67294931200 68640829824 71130393600 71500864400 75846220800 78446662656 79814918400 80753917440 81715273600 85801037280 91521106432 98058328320 100942396800 106419891200 107251296600 114401383040 115362739200 122572910400 130744437760 134589862400 137281659648 143001728800 159629836800 161507834880 163430547200 171602074560 183042212864 196116656640 201884793600 214502593200 228802766080 245145820800 269179724800 274563319296 286003457600 319259673600 326861094400 343204149120 392233313280 403769587200 429005186400 457605532160 490291641600 549126638592 572006915200 653722188800 686408298240 807539174400 858010372800 915211064320 980583283200 1144013830400 1372816596480 1716020745600 1961166566400 2288027660800 2745633192960 3432041491200 4576055321600 6864082982400 13728165964800
- Sum of all divisors σ(n): 56784239576064
- Sum of proper divisors (its aliquot sum) s(n): 43056073611264
- 13728165964800 is an abundant number, because the sum of its proper divisors (43056073611264) is greater than itself. Its abundance is 29327907646464
Bases of 13728165964800
- Binary: 110001111100010101100111010010101100000000002
- Hexadecimal: 0xC7C5674AC00
- Base-36: 4V6MRKBUO
Squares and roots of 13728165964800
- 13728165964800 squared (137281659648002) is 188462540757093114839040000
- 13728165964800 cubed (137281659648003) is 2587245037661258523317726758305792000000
-
The
square root of 13728165964800 is 3705153.9731568513 -
The
cube root of 13728165964800 is 23944.4118364625
Scales and comparisons
How big is 13728165964800?- 13,728,165,964,800 seconds is equal to 436,513 years, 11 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,728,165,964,800 would take you about one million, ninety-one thousand, two hundred eighty-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 13728165964800 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728165964800
- 13728165964800 backwards is 00846956182731
- 13728165964800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13728165964800's digits is 60
- 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 13728165964800 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 13728165964800 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13728165964800/
Chicago style:
Numbermatics. 2024. "Number 13728165964800 - Facts about the integer". https://numbermatics.com/n/13728165964800/
The information we have on file for 13728165964800 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 13728165964800, math, Factors of 13728165964800, curriculum, school, college, exams, university, Prime factorization of 13728165964800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred twenty-eight billion, one hundred sixty-five million, nine hundred sixty-four thousand, eight hundred.