13382855164800
13,382,855,164,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13382855164800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13382855164800 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 13382855164800:
27 × 33 × 52 × 112 × 17 × 257 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 257 × 293)See below for interesting mathematical facts about the number 13382855164800 from the Numbermatics database.
Names of 13382855164800
- Cardinal: 13382855164800 can be written as Thirteen trillion, three hundred eighty-two billion, eight hundred fifty-five million, one hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33828551648 × 1013
Factors of 13382855164800
Divisors of 13382855164800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 121 128 132 135 136 144 150 153 160 165 170 176 180 187 192 198 200 204 216 220 225 240 242 255 257 264 270 272 275 288 293 297 300 306 320 330 340 352 360 363 374 384 396 400 408 425 432 440 450 459 480 484 495 510 514 528 540 544 550 561 576 586 594 600 605 612 640 660 675 680 704 720 726 748 765 771 792 800 816 825 850 864 879 880 900 918 935 960 968 990 1020 1028 1056 1080 1088 1089 1100 1122 1152 1172 1188 1200 1210 1224 1275 1285 1320 1350 1360 1408 1440 1452 1465 1485 1496 1530 1542 1584 1600 1632 1650 1683 1700 1728 1758 1760 1800 1815 1836 1870 1920 1936 1980 2040 2056 2057 2112 2160 2176 2178 2200 2244 2295 2313 2344 2376 2400 2420 2448 2475 2550 2570 2637 2640 2700 2720 2805 2827 2880 2904 2930 2970 2992 3025 3060 3084 3168 3200 3223 3264 3267 3300 3366 3400 3456 3516 3520 3600 3630 3672 3740 3825 3855 3872 3960 4080 4112 4114 4224 4320 4356 4369 4395 4400 4488 4590 4626 4675 4688 4752 4800 4840 4896 4950 4981 5049 5100 5140 5274 5280 5400 5440 5445 5610 5654 5760 5808 5860 5940 5984 6050 6120 6168 6171 6336 6425 6446 6528 6534 6600 6732 6800 6939 7032 7040 7200 7260 7325 7344 7425 7480 7650 7710 7744 7911 7920 8160 8224 8228 8415 8481 8640 8712 8738 8790 8800 8976 9075 9180 9252 9350 9376 9504 9600 9669 9680 9792 9900 9962 10098 10200 10280 10285 10548 10560 10800 10880 10890 11220 11308 11475 11565 11616 11720 11880 11968 12100 12240 12336 12342 12672 12850 12892 13068 13107 13185 13200 13464 13600 13878 14025 14064 14135 14400 14520 14650 14688 14850 14943 14960 15300 15420 15488 15822 15840 16115 16320 16335 16448 16456 16830 16962 17280 17424 17476 17580 17600 17952 18150 18360 18504 18513 18700 18752 19008 19275 19338 19360 19584 19800 19924 20196 20400 20560 20570 21096 21120 21600 21780 21845 21975 22440 22616 22950 23130 23232 23440 23760 23936 24200 24480 24672 24684 24905 25245 25443 25700 25784 26136 26214 26370 26400 26928 27200 27225 27756 28050 28128 28270 28800 29007 29040 29300 29376 29700 29886 29920 30600 30840 30855 31097 31644 31680 32230 32640 32670 32896 32912 33660 33924 34695 34848 34952 35160 35200 35453 35904 36300 36720 37008 37026 37400 37504 38016 38550 38676 38720 39321 39555 39600 39848 40392 40800 41120 41140 42075 42192 42405 43200 43560 43690 43950 44829 44880 45232 45900 46260 46464 46880 47520 48059 48345 48400 48960 49344 49368 49810 50490 50886 51400 51425 51568 52272 52428 52740 52800 53856 54400 54450 54791 55512 55539 56100 56256 56540 57825 58014 58080 58600 58752 59400 59772 59840 61200 61680 61710 62194 63288 63360 64460 65340 65535 65824 65925 67320 67848 69390 69696 69904 70320 70675 70906 71808 72600 73440 74016 74052 74715 74800 75301 76329 77100 77352 77440 78642 79110 79200 79696 80575 80784 81600 81675 82240 82280 84150 84384 84810 86400 87021 87120 87380 87900 89658 89760 90464 91800 92520 92565 93291 93760 95040 96118 96690 96800 97920 98688 98736 99620 100980 101772 102800 102850 103136 104544 104856 105480 105600 106359 107712 108900 109225 109582 111024 111078 112200 112512 113080 115650 116028 116160 117200 117963 118800 119544 119680 122400 123360 123420 124388 124525 126225 126576 127215 128920 130680 131070 131648 131850 134487 134640 135696 138780 139392 139808 140640 141350 141812 144177 145035 145200 146880 148032 148104 149430 149600 150602 152658 154200 154275 154704 155485 157284 158220 158400 159392 161150 161568 163200 163350 164373 164480 164560 168300 168768 169620 173475 174042 174240 174760 175800 177265 179316 179520 180928 183600 185040 185130 186582 187520 190080 192236 193380 193600 196605 197472 197775 199240 201960 203544 205600 205700 206272 209088 209712 210960 212025 212718 215424 217800 218450 219164 222048 222156 224145 224400 225903 226160 231300 232056 232320 234400 235926 237600 239088 240295 241725 244800 246720 246840 248776 249050 252450 253152 254430 257840 261360 262140 263296 263700 268974 269280 271392 273955 277560 277695 279616 279873 281280 282700 283624 288354 290070 290400 293760 296064 296208 298860 299200 301204 305316 308400 308550 309408 310970 314568 316440 316800 318784 319077 322300 323136 326700 327675 328746 329120 336600 337536 339240 346950 348084 348480 349520 351600 354530 358632 359040 361856 367200 370080 370260 373164 373575 376505 381645 384472 386760 387200 393210 394944 395550 398480 403920 407088 411200 411400 412544 418176 419424 421920 424050 425436 432531 435105 435600 436900 438328 444096 444312 448290 448800 451806 452320 462600 462825 464112 466455 468800 471852 475200 478176 480590 483450 489600 493119 493440 493680 497552 498100 504900 506304 508860 515680 522720 524280 527400 528649 531795 537948 538560 542784 547910 555120 555390 559232 559746 562560 565400 567248 576708 580140 580800 589815 592416 597720 598400 602408 602701 610632 616800 617100 618816 621940 629136 632880 636075 637568 638154 644600 646272 653400 655350 657492 658240 672435 673200 677709 678480 693900 696168 696960 699040 703200 709060 717264 720885 725175 734400 740160 740520 746328 747150 753010 763290 768944 773520 777425 786420 789888 791100 796960 807840 814176 821865 822400 822800 828311 838848 839619 843840 848100 850872 865062 870210 871200 873800 876656 886325 888192 888624 896580 897600 903612 904640 925200 925650 928224 932910 937600 943704 950400 956352 957231 961180 966900 983025 986238 987360 995104 996200 1009800 1012608 1017720 1031360 1045440 1048560 1054800 1057298 1063590 1075896 1077120 1085568 1095820 1110240 1110780 1119492 1120725 1129515 1130800 1134496 1153416 1160280 1161600 1179630 1184832 1195440 1201475 1204816 1205402 1221264 1233600 1234200 1237632 1243880 1258272 1265760 1272150 1276308 1280117 1289200 1297593 1306800 1310700 1314984 1316480 1344870 1346400 1355418 1356960 1369775 1387800 1388475 1392336 1398080 1399365 1406400 1418120 1434528 1441770 1450350 1468800 1479357 1480320 1481040 1492656 1494300 1506020 1526580 1537888 1547040 1554850 1572840 1582200 1585947 1593920 1595385 1615680 1628352 1643730 1645600 1656622 1677696 1679238 1687680 1696200 1701744 1730124 1740420 1742400 1747600 1753312 1772650 1777248 1793160 1795200 1807224 1808103 1809280 1850400 1851300 1856448 1865820 1882525 1887408 1908225 1912704 1914462 1922360 1933800 1966050 1972476 1974720 1990208 1992400 2019600 2033127 2035440 2062720 2090880 2097120 2109600 2114596 2127180 2151792 2162655 2175525 2191640 2220480 2221560 2238984 2241450 2259030 2261600 2268992 2306832 2320560 2332275 2359260 2369664 2390880 2402950 2409632 2410804 2442528 2465595 2467200 2468400 2484933 2487760 2516544 2531520 2544300 2552616 2560234 2578400 2595186 2613600 2621400 2629968 2643245 2658975 2689740 2692800 2710836 2713920 2739550 2775600 2776950 2784672 2796160 2798730 2812800 2836240 2869056 2883540 2900700 2949075 2958714 2962080 2985312 2988600 3012040 3013505 3053160 3075776 3094080 3109700 3145680 3164400 3171894 3187840 3190770 3231360 3256704 3287460 3291200 3313244 3358476 3362175 3388545 3392400 3403488 3460248 3480840 3484800 3495200 3506624 3545300 3554496 3586320 3604425 3614448 3616206 3700800 3702600 3712896 3731640 3765050 3774816 3816450 3828924 3840351 3844720 3867600 3932100 3944952 3949440 3980416 3984800 4039200 4066254 4070880 4109325 4141555 4194240 4198095 4219200 4229192 4254360 4303584 4325310 4351050 4383280 4440960 4443120 4477968 4482900 4518060 4523200 4537984 4613664 4641120 4664550 4718520 4757841 4781760 4786155 4805900 4819264 4821608 4885056 4931190 4936800 4969866 4975520 5033088 5063040 5088600 5105232 5120468 5156800 5190372 5227200 5242800 5259936 5286490 5317950 5379480 5385600 5421672 5424309 5427840 5479100 5551200 5553900 5569344 5597460 5647575 5672480 5738112 5767080 5801400 5898150 5917428 5924160 5970624 5977200 6024080 6027010 6106320 6151552 6188160 6219400 6291360 6328800 6343788 6381540 6400585 6487965 6574920 6582400 6626488 6716952 6724350 6777090 6784800 6806976 6920496 6961680 6990400 6996825 7013248 7090600 7108992 7172640 7208850 7228896 7232412 7396785 7401600 7405200 7454799 7463280 7530100 7549632 7632900 7657848 7680702 7689440 7735200 7864200 7889904 7929735 7969600 7976925 8078400 8132508 8141760 8218650 8283110 8388480 8396190 8438400 8458384 8508720 8607168 8650620 8702100 8766560 8886240 8955936 8965800 9036120 9040515 9046400 9111421 9227328 9282240 9329100 9437040 9515682 9563520 9572310 9611800 9638528 9643216 9770112 9862380 9873600 9939732 9951040 10165635 10177200 10210464 10240936 10313600 10380744 10454400 10485600 10519872 10572980 10635900 10758960 10813275 10843344 10848618 10958200 11102400 11107800 11138688 11194920 11295150 11344960 11521053 11534160 11602800 11796300 11834856 11848320 11941248 11954400 12048160 12054020 12212640 12327975 12424665 12438800 12582720 12657600 12687576 12763080 12801170 12975930 13149840 13216225 13252976 13433904 13448700 13554180 13569600 13613952 13840992 13923360 13980800 13993650 14081287 14181200 14273523 14345280 14417700 14457792 14464824 14793570 14810400 14909598 14926560 15060200 15067525 15099264 15265800 15315696 15361404 15378880 15470400 15728400 15779808 15859470 15939200 15953850 16156800 16265016 16272927 16283520 16437300 16566220 16792380 16916768 16942725 17017440 17214336 17301240 17404200 17533120 17772480 17911872 17931600 18072240 18081030 18222842 18454656 18564480 18658200 18874080 19031364 19144620 19201755 19223600 19286432 19724760 19747200 19879464 19902080 20331270 20354400 20420928 20481872 20707775 20761488 20971200 20990475 21039744 21145960 21271800 21517920 21626550 21686688 21697236 21916400 22204800 22215600 22364397 22389840 22590300 22689920 23042106 23068320 23205600 23592600 23669712 23789205 23908800 23930775 24096320 24108040 24425280 24655950 24849330 24877600 25165440 25315200 25375152 25526160 25602340 25951860 26299680 26432450 26505952 26867808 26897400 27108360 27121545 27139200 27334263 27681984 27846720 27987300 28162574 28362400 28547046 28690560 28835400 28915584 28929648 29587140 29620800 29819196 29853120 30120400 30135050 30531600 30631392 30722808 30757760 30940800 31456800 31559616 31718940 31907700 32002925 32439825 32530032 32545854 32874600 33132440 33584760 33833536 33885450 34034880 34563159 34602480 34808400 35066240 35544960 35823744 35863200 36144480 36162060 36445684 36983925 37273995 37316400 37748160 38062728 38289240 38403510 38447200 38572864 39449520 39648675 39758928 40662540 40708800 40841856 40963744 41415550 41522976 41942400 41980950 42243861 42291920 42543600 43035840 43253100 43373376 43394472 43832800 44431200 44728794 44779680 45180600 45202575 45557105 46084212 46136640 46411200 47185200 47339424 47578410 47817600 47861550 48192640 48216080 48850560 49311900 49698660 49755200 50750304 50828175 51052320 51204680 51903720 52599360 52864900 53011904 53735616 53794800 54216720 54243090 54668526 55363968 55693440 55974600 56325148 56724800 57094092 57605265 57670800 57859296 59174280 59241600 59638392 59706240 60240800 60270100 61063200 61262784 61445616 62123325 62913600 63119232 63437880 63815400 64005850 64879650 65060064 65091708 65749200 66264880 67169520 67667072 67770900 68069760 69126318 69204960 69616800 70406435 71367615 71726400 72288960 72324120 72891368 73967850 74547990 74632800 75496320 76125456 76578480 76807020 76894400 77145728 78899040 79297350 79517856 81325080 81364635 81417600 81927488 82002789 82831100 83045952 83961900 84487722 84583840 85087200 86071680 86506200 86746752 86788944 87665600 88862400 89457588 89559360 90361200 90405150 91114210 92168424 92273280 92822400 94370400 94678848 95156820 95723100 96008775 96432160 98623800 99397320 99510400 101500608 101656350 102104640 102409360 103807440 105198720 105729800 106023808 107471232 107589600 108433440 108486180 109337052 111821985 111949200 112650296 113449600 114188184 115210530 115341600 115718592 118348560 118946025 119276784 120481600 120540200 122126400 122525568 122891232 124246650 125827200 126731583 126875760 127630800 128011700 129759300 130120128 130183416 131498400 132529760 134339040 135541800 135607725 136671315 138252636 138409920 139233600 140812870 142735230 143452800 144577920 144648240 145782736 147935700 149095980 149265600 152250912 153156960 153614040 153788800 154894157 157798080 158594700 159035712 162650160 162729270 163854976 164005578 165662200 166091904 167923800 168975444 169167680 170174400 172815795 173012400 173577888 175331200 177724800 178915176 179118720 180722400 180810300 182228420 184336848 186369975 188740800 189357696 190313640 191446200 192017550 192864320 197247600 198794640 203001216 203312700 204209280 204818720 207614880 211219305 211459600 215179200 216866880 216972360 218674104 223643970 223898400 225300592 227785525 228376368 230421060 230683200 231437184 236697120 237892050 238553568 240963200 241080400 244252800 245782464 246008367 248493300 253463166 253751520 255261600 256023400 259518600 260240256 260366832 262996800 265059520 268678080 271083600 271215450 273342630 276505272 276819840 278467200 281625740 285470460 288026325 289296480 291565472 295871400 298191960 298531200 304501824 306313920 307228080 309788314 315596160 317189400 318071424 325300320 325458540 328011156 331324400 335847600 337950888 338335360 340348800 345631590 346024800 347155776 352032175 356838075 357830352 361444800 361620600 364456840 368673696 372739950 377481600 380194749 380627280 382892400 384035100 385728640 394495200 397589280 406625400 406823175 409637440 410013945 415229760 422438610 422919200 430358400 433733760 433944720 437348208 447287940 447796800 450601184 455571050 456752736 460842120 461366400 464682471 473394240 475784100 477107136 482160800 491564928 492016734 496986600 506926332 507503040 510523200 512046800 519037200 520733664 525993600 530119040 537356160 542167200 542430900 546685260 553010544 559109925 563251480 570940920 576052650 578592960 583130944 591742800 596383920 609003648 612627840 614456160 619576628 633657915 634378800 650600640 650917080 656022312 662648800 671695200 675901776 683356575 691263180 692049600 694311552 704064350 713676150 715660704 722889600 723241200 728913680 737347392 745479900 760389498 761254560 765784800 768070200 774470785 788990400 795178560 813250800 813646350 819274880 820027890 830459520 844877220 845838400 864078975 867889440 874696416 894575880 895593600 901202368 911142100 913505472 921684240 929364942 946788480 951568200 954214272 964321600 984033468 993973200 1013852664 1015006080 1021046400 1024093600 1038074400 1041467328 1056096525 1084334400 1084861800 1093370520 1106021088 1118219850 1126502960 1141881840 1152105300 1157185920 1166261888 1183485600 1192767840 1228912320 1230041835 1239153256 1267315830 1268757600 1301201280 1301834160 1312044624 1325297600 1343390400 1351803552 1366713150 1382526360 1384099200 1394047413 1408128700 1427352300 1431321408 1446482400 1457827360 1474694784 1490959800 1520778996 1522509120 1531569600 1536140400 1548941570 1577980800 1590357120 1626501600 1627292700 1640055780 1689754440 1691676800 1728157950 1735778880 1749392832 1789151760 1802404736 1822284200 1827010944 1843368480 1858729884 1900973745 1903136400 1928643200 1968066936 1987946400 2027705328 2048187200 2050069725 2076148800 2082934656 2112193050 2168668800 2169723600 2186741040 2212042176 2236439700 2253005920 2283763680 2304210600 2323412355 2366971200 2385535680 2457824640 2460083670 2478306512 2534631660 2537515200 2603668320 2624089248 2650595200 2686780800 2703607104 2733426300 2765052720 2788094826 2816257400 2854704600 2862642816 2892964800 2915654720 2981919600 3041557992 3045018240 3063139200 3072280800 3097883140 3168289575 3253003200 3254585400 3280111560 3379508880 3456315900 3471557760 3498785664 3578303520 3644568400 3686736960 3717459768 3801947490 3806272800 3872353925 3936133872 3975892800 4055410656 4096374400 4100139450 4152297600 4182142239 4224386100 4339447200 4373482080 4424084352 4472879400 4506011840 4567527360 4608421200 4646824710 4733942400 4771071360 4920167340 4956613024 5069263320 5075030400 5207336640 5248178496 5407214208 5466852600 5530105440 5576189652 5632514800 5709409200 5785929600 5831309440 5963839200 6083115984 6144561600 6150209175 6195766280 6336579150 6506006400 6509170800 6560223120 6759017760 6912631800 6970237065 7156607040 7289136800 7373473920 7434919536 7603894980 7612545600 7744707850 7872267744 7951785600 8110821312 8200278900 8364284478 8448772200 8678894400 8746964160 8945758800 9012023680 9135054720 9216842400 9293649420 9504868725 9840334680 9913226048 10138526640 10414673280 10496356992 10933705200 11060210880 11152379304 11265029600 11418818400 11617061775 11927678400 12166231968 12289123200 12300418350 12391532560 12673158300 13018341600 13120446240 13518035520 13825263600 13940474130 14313214080 14578273600 14869839072 15207789960 15225091200 15489415700 15744535488 16221642624 16400557800 16728568956 16897544400 17357788800 17493928320 17891517600 18433684800 18587298840 19009737450 19680669360 19826452096 20277053280 20910711195 21867410400 22120421760 22304758608 22530059200 22837636800 23234123550 23855356800 24332463936 24600836700 24783065120 25346316600 26036683200 26240892480 27036071040 27650527200 27880948260 29156547200 29739678144 30415579920 30978831400 31489070976 32801115600 33457137912 33795088800 34851185325 35783035200 36867369600 37174597680 38019474900 39361338720 40554106560 41821422390 43734820800 44609517216 45060118400 45675273600 46468247100 48664927872 49201673400 49566130240 50692633200 52073366400 52481784960 55301054400 55761896520 59479356288 60831159840 61957662800 65602231200 66914275824 67590177600 69702370650 71566070400 74349195360 76038949800 78722677440 81108213120 83642844780 87469641600 89219034432 92936494200 98403346800 99132260480 101385266400 104553555975 110602108800 111523793040 121662319680 123915325600 131204462400 133828551648 135180355200 139404741300 148698390720 152077899600 157445354880 167285689560 178438068864 185872988400 196806693600 202770532800 209107111950 223047586080 243324639360 247830651200 262408924800 267657103296 278809482600 297396781440 304155799200 334571379120 371745976800 393613387200 405541065600 418214223900 446095172160 495661302400 535314206592 557618965200 608311598400 669142758240 743491953600 787226774400 836428447800 892190344320 1115237930400 1216623196800 1338285516480 1486983907200 1672856895600 2230475860800 2676571032960 3345713791200 4460951721600 6691427582400 13382855164800
- Sum of all divisors σ(n): 57418659345600
- Sum of proper divisors (its aliquot sum) s(n): 44035804180800
- 13382855164800 is an abundant number, because the sum of its proper divisors (44035804180800) is greater than itself. Its abundance is 30652949016000
Bases of 13382855164800
- Binary: 110000101011111100000101010000000011100000002
- Hexadecimal: 0xC2BF0540380
- Base-36: 4QRZYFHC0
Squares and roots of 13382855164800
- 13382855164800 squared (133828551648002) is 179100812362014035159040000
- 13382855164800 cubed (133828551648003) is 2396880231738855217758247253409792000000
-
The
square root of 13382855164800 is 3658258.4879693781 -
The
cube root of 13382855164800 is 23741.9430708435
Scales and comparisons
How big is 13382855164800?- 13,382,855,164,800 seconds is equal to 425,533 years, 20 weeks, 5 days.
-
To count from 1 to 13,382,855,164,800 would take you about one million, sixty-three thousand, eight hundred thirty-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 13382855164800 cubic inches would be around 1978.5 feet tall.
Recreational maths with 13382855164800
- 13382855164800 backwards is 00846155828331
- 13382855164800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13382855164800's digits is 54
- More coming soon!
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MLA style:
"Number 13382855164800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13382855164800 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13382855164800/
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Numbermatics. 2024. "Number 13382855164800 - Facts about the integer". https://numbermatics.com/n/13382855164800/
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