213823940198400
213,823,940,198,400 is an even composite number composed of five prime numbers multiplied together.
213823940198400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-seven divisors.
Prime factorization of 213823940198400:
226 × 32 × 52 × 72 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 17)See below for interesting mathematical facts about the number 213823940198400 from the Numbermatics database.
Names of 213823940198400
- Cardinal: 213823940198400 can be written as Two hundred thirteen trillion, eight hundred twenty-three billion, nine hundred forty million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.138239401984 × 1014
Factors of 213823940198400
Divisors of 213823940198400
- Number of divisors d(n): 2187
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 49 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 98 100 102 105 112 119 120 126 128 136 140 144 147 150 153 160 168 170 175 180 192 196 200 204 210 224 225 238 240 245 252 255 256 272 280 288 289 294 300 306 315 320 336 340 350 357 360 384 392 400 408 420 425 441 448 450 476 480 490 504 510 512 525 544 560 576 578 588 595 600 612 630 640 672 680 700 714 720 735 765 768 784 800 816 833 840 850 867 882 896 900 952 960 980 1008 1020 1024 1050 1071 1088 1120 1152 1156 1176 1190 1200 1224 1225 1260 1275 1280 1344 1360 1400 1428 1440 1445 1470 1530 1536 1568 1575 1600 1632 1666 1680 1700 1734 1764 1785 1792 1800 1904 1920 1960 2016 2023 2040 2048 2100 2142 2176 2205 2240 2304 2312 2352 2380 2400 2448 2450 2499 2520 2550 2560 2601 2688 2720 2800 2856 2880 2890 2940 2975 3060 3072 3136 3150 3200 3264 3332 3360 3400 3468 3528 3570 3584 3600 3675 3808 3825 3840 3920 4032 4046 4080 4096 4165 4200 4284 4335 4352 4410 4480 4608 4624 4704 4760 4800 4896 4900 4998 5040 5100 5120 5202 5355 5376 5440 5600 5712 5760 5780 5880 5950 6069 6120 6144 6272 6300 6400 6528 6664 6720 6800 6936 7056 7140 7168 7200 7225 7350 7497 7616 7650 7680 7840 8064 8092 8160 8192 8330 8400 8568 8670 8704 8820 8925 8960 9216 9248 9408 9520 9600 9792 9800 9996 10080 10115 10200 10240 10404 10710 10752 10880 11025 11200 11424 11520 11560 11760 11900 12138 12240 12288 12495 12544 12600 12800 13005 13056 13328 13440 13600 13872 14112 14161 14280 14336 14400 14450 14700 14994 15232 15300 15360 15680 16128 16184 16320 16384 16660 16800 17136 17340 17408 17640 17850 17920 18207 18432 18496 18816 19040 19200 19584 19600 19992 20160 20230 20400 20480 20808 20825 21420 21504 21675 21760 22050 22400 22848 23040 23120 23520 23800 24276 24480 24576 24990 25088 25200 25600 26010 26112 26656 26775 26880 27200 27744 28224 28322 28560 28672 28800 28900 29400 29988 30345 30464 30600 30720 31360 32256 32368 32640 32768 33320 33600 34272 34680 34816 35280 35700 35840 36414 36864 36992 37485 37632 38080 38400 39168 39200 39984 40320 40460 40800 40960 41616 41650 42483 42840 43008 43350 43520 44100 44800 45696 46080 46240 47040 47600 48552 48960 49152 49980 50176 50400 50575 51200 52020 52224 53312 53550 53760 54400 55488 56448 56644 57120 57344 57600 57800 58800 59976 60690 60928 61200 61440 62475 62720 64512 64736 65025 65280 65536 66640 67200 68544 69360 69632 70560 70805 71400 71680 72828 73728 73984 74970 75264 76160 76800 78336 78400 79968 80640 80920 81600 81920 83232 83300 84966 85680 86016 86700 87040 88200 89600 91035 91392 92160 92480 94080 95200 97104 97920 98304 99960 100352 100800 101150 102400 104040 104448 106624 107100 107520 108800 110976 112896 113288 114240 114688 115200 115600 117600 119952 121380 121856 122400 122880 124950 125440 127449 129024 129472 130050 130560 131072 133280 134400 137088 138720 139264 141120 141610 142800 143360 145656 147456 147968 149940 150528 151725 152320 153600 156672 156800 159936 161280 161840 163200 163840 166464 166600 169932 171360 172032 173400 174080 176400 179200 182070 182784 184320 184960 187425 188160 190400 194208 195840 196608 199920 200704 201600 202300 204800 208080 208896 212415 213248 214200 215040 217600 221952 225792 226576 228480 229376 230400 231200 235200 239904 242760 243712 244800 245760 249900 250880 254898 258048 258944 260100 261120 262144 266560 268800 274176 277440 278528 282240 283220 285600 286720 291312 294912 295936 299880 301056 303450 304640 307200 313344 313600 319872 322560 323680 326400 327680 332928 333200 339864 342720 344064 346800 348160 352800 354025 358400 364140 365568 368640 369920 374850 376320 380800 388416 391680 393216 399840 401408 403200 404600 409600 416160 417792 424830 426496 428400 430080 435200 443904 451584 453152 455175 456960 458752 460800 462400 470400 479808 485520 487424 489600 491520 499800 501760 509796 516096 517888 520200 522240 524288 533120 537600 548352 554880 557056 564480 566440 571200 573440 582624 589824 591872 599760 602112 606900 609280 614400 626688 627200 637245 639744 645120 647360 652800 655360 665856 666400 679728 685440 688128 693600 696320 705600 708050 716800 728280 731136 737280 739840 749700 752640 761600 776832 783360 786432 799680 802816 806400 809200 819200 832320 835584 849660 852992 856800 860160 870400 887808 903168 906304 910350 913920 917504 921600 924800 940800 959616 971040 974848 979200 983040 999600 1003520 1019592 1032192 1035776 1040400 1044480 1048576 1062075 1066240 1075200 1096704 1109760 1114112 1128960 1132880 1142400 1146880 1165248 1179648 1183744 1199520 1204224 1213800 1218560 1228800 1253376 1254400 1274490 1279488 1290240 1294720 1305600 1310720 1331712 1332800 1359456 1370880 1376256 1387200 1392640 1411200 1416100 1433600 1456560 1462272 1474560 1479680 1499400 1505280 1523200 1553664 1566720 1572864 1599360 1605632 1612800 1618400 1638400 1664640 1671168 1699320 1705984 1713600 1720320 1740800 1775616 1806336 1812608 1820700 1827840 1835008 1843200 1849600 1881600 1919232 1942080 1949696 1958400 1966080 1999200 2007040 2039184 2064384 2071552 2080800 2088960 2097152 2124150 2132480 2150400 2193408 2219520 2228224 2257920 2265760 2284800 2293760 2330496 2359296 2367488 2399040 2408448 2427600 2437120 2457600 2506752 2508800 2548980 2558976 2580480 2589440 2611200 2621440 2663424 2665600 2718912 2741760 2752512 2774400 2785280 2822400 2832200 2867200 2913120 2924544 2949120 2959360 2998800 3010560 3046400 3107328 3133440 3145728 3186225 3198720 3211264 3225600 3236800 3276800 3329280 3342336 3398640 3411968 3427200 3440640 3481600 3551232 3612672 3625216 3641400 3655680 3670016 3686400 3699200 3763200 3838464 3884160 3899392 3916800 3932160 3998400 4014080 4078368 4128768 4143104 4161600 4177920 4194304 4248300 4264960 4300800 4386816 4439040 4456448 4515840 4531520 4569600 4587520 4660992 4718592 4734976 4798080 4816896 4855200 4874240 4915200 5013504 5017600 5097960 5117952 5160960 5178880 5222400 5242880 5326848 5331200 5437824 5483520 5505024 5548800 5570560 5644800 5664400 5734400 5826240 5849088 5898240 5918720 5997600 6021120 6092800 6214656 6266880 6291456 6372450 6397440 6422528 6451200 6473600 6553600 6658560 6684672 6797280 6823936 6854400 6881280 6963200 7102464 7225344 7250432 7282800 7311360 7340032 7372800 7398400 7526400 7676928 7768320 7798784 7833600 7864320 7996800 8028160 8156736 8257536 8286208 8323200 8355840 8388608 8496600 8529920 8601600 8773632 8878080 8912896 9031680 9063040 9139200 9175040 9321984 9437184 9469952 9596160 9633792 9710400 9748480 9830400 10027008 10035200 10195920 10235904 10321920 10357760 10444800 10485760 10653696 10662400 10875648 10967040 11010048 11097600 11141120 11289600 11328800 11468800 11652480 11698176 11796480 11837440 11995200 12042240 12185600 12429312 12533760 12582912 12744900 12794880 12845056 12902400 12947200 13107200 13317120 13369344 13594560 13647872 13708800 13762560 13926400 14204928 14450688 14500864 14565600 14622720 14680064 14745600 14796800 15052800 15353856 15536640 15597568 15667200 15728640 15993600 16056320 16313472 16515072 16572416 16646400 16711680 16777216 16993200 17059840 17203200 17547264 17756160 17825792 18063360 18126080 18278400 18350080 18643968 18874368 18939904 19192320 19267584 19420800 19496960 19660800 20054016 20070400 20391840 20471808 20643840 20715520 20889600 20971520 21307392 21324800 21751296 21934080 22020096 22195200 22282240 22579200 22657600 22937600 23304960 23396352 23592960 23674880 23990400 24084480 24371200 24858624 25067520 25165824 25489800 25589760 25690112 25804800 25894400 26214400 26634240 26738688 27189120 27295744 27417600 27525120 27852800 28409856 28901376 29001728 29131200 29245440 29360128 29491200 29593600 30105600 30707712 31073280 31195136 31334400 31457280 31987200 32112640 32626944 33030144 33144832 33292800 33423360 33554432 33986400 34119680 34406400 35094528 35512320 35651584 36126720 36252160 36556800 36700160 37287936 37748736 37879808 38384640 38535168 38841600 38993920 39321600 40108032 40140800 40783680 40943616 41287680 41431040 41779200 41943040 42614784 42649600 43502592 43868160 44040192 44390400 44564480 45158400 45315200 45875200 46609920 46792704 47185920 47349760 47980800 48168960 48742400 49717248 50135040 50331648 50979600 51179520 51380224 51609600 51788800 52428800 53268480 53477376 54378240 54591488 54835200 55050240 55705600 56819712 57802752 58003456 58262400 58490880 58720256 58982400 59187200 60211200 61415424 62146560 62390272 62668800 62914560 63974400 64225280 65253888 66060288 66289664 66585600 66846720 67108864 67972800 68239360 68812800 70189056 71024640 71303168 72253440 72504320 73113600 73400320 74575872 75497472 75759616 76769280 77070336 77683200 77987840 78643200 80216064 80281600 81567360 81887232 82575360 82862080 83558400 83886080 85229568 85299200 87005184 87736320 88080384 88780800 89128960 90316800 90630400 91750400 93219840 93585408 94371840 94699520 95961600 96337920 97484800 99434496 100270080 100663296 101959200 102359040 102760448 103219200 103577600 104857600 106536960 106954752 108756480 109182976 109670400 110100480 111411200 113639424 115605504 116006912 116524800 116981760 117440512 117964800 118374400 120422400 122830848 124293120 124780544 125337600 125829120 127948800 128450560 130507776 132120576 132579328 133171200 133693440 135945600 136478720 137625600 140378112 142049280 142606336 144506880 145008640 146227200 146800640 149151744 150994944 151519232 153538560 154140672 155366400 155975680 157286400 160432128 160563200 163134720 163774464 165150720 165724160 167116800 167772160 170459136 170598400 174010368 175472640 176160768 177561600 178257920 180633600 181260800 183500800 186439680 187170816 188743680 189399040 191923200 192675840 194969600 198868992 200540160 201326592 203918400 204718080 205520896 206438400 207155200 209715200 213073920 213909504 217512960 218365952 219340800 220200960 222822400 227278848 231211008 232013824 233049600 233963520 234881024 235929600 236748800 240844800 245661696 248586240 249561088 250675200 251658240 255897600 256901120 261015552 264241152 265158656 266342400 267386880 271891200 272957440 275251200 280756224 284098560 285212672 289013760 290017280 292454400 293601280 298303488 301989888 303038464 307077120 308281344 310732800 311951360 314572800 320864256 321126400 326269440 327548928 330301440 331448320 334233600 335544320 340918272 341196800 348020736 350945280 352321536 355123200 356515840 361267200 362521600 367001600 372879360 374341632 377487360 378798080 383846400 385351680 389939200 397737984 401080320 407836800 409436160 411041792 412876800 414310400 419430400 426147840 427819008 435025920 436731904 438681600 440401920 445644800 454557696 462422016 464027648 466099200 467927040 469762048 471859200 473497600 481689600 491323392 497172480 499122176 501350400 503316480 511795200 513802240 522031104 528482304 530317312 532684800 534773760 543782400 545914880 550502400 561512448 568197120 570425344 578027520 580034560 584908800 587202560 596606976 603979776 606076928 614154240 616562688 621465600 623902720 629145600 641728512 642252800 652538880 655097856 660602880 662896640 668467200 681836544 682393600 696041472 701890560 704643072 710246400 713031680 722534400 725043200 734003200 745758720 748683264 754974720 757596160 767692800 770703360 779878400 795475968 802160640 815673600 818872320 822083584 825753600 828620800 838860800 852295680 855638016 870051840 873463808 877363200 880803840 891289600 909115392 924844032 928055296 932198400 935854080 943718400 946995200 963379200 982646784 994344960 998244352 1002700800 1006632960 1023590400 1027604480 1044062208 1056964608 1060634624 1065369600 1069547520 1087564800 1091829760 1101004800 1123024896 1136394240 1140850688 1156055040 1160069120 1169817600 1174405120 1193213952 1212153856 1228308480 1233125376 1242931200 1247805440 1258291200 1283457024 1284505600 1305077760 1310195712 1321205760 1325793280 1336934400 1363673088 1364787200 1392082944 1403781120 1409286144 1420492800 1426063360 1445068800 1450086400 1468006400 1491517440 1497366528 1509949440 1515192320 1535385600 1541406720 1559756800 1590951936 1604321280 1631347200 1637744640 1644167168 1651507200 1657241600 1677721600 1704591360 1711276032 1740103680 1746927616 1754726400 1761607680 1782579200 1818230784 1849688064 1856110592 1864396800 1871708160 1887436800 1893990400 1926758400 1965293568 1988689920 1996488704 2005401600 2047180800 2055208960 2088124416 2113929216 2121269248 2130739200 2139095040 2175129600 2183659520 2202009600 2246049792 2272788480 2312110080 2320138240 2339635200 2348810240 2386427904 2424307712 2456616960 2466250752 2485862400 2495610880 2516582400 2566914048 2569011200 2610155520 2620391424 2642411520 2651586560 2673868800 2727346176 2729574400 2784165888 2807562240 2840985600 2852126720 2890137600 2900172800 2936012800 2983034880 2994733056 3019898880 3030384640 3070771200 3082813440 3119513600 3181903872 3208642560 3262694400 3275489280 3288334336 3303014400 3314483200 3409182720 3422552064 3480207360 3493855232 3509452800 3523215360 3565158400 3636461568 3699376128 3712221184 3728793600 3743416320 3774873600 3787980800 3853516800 3930587136 3977379840 3992977408 4010803200 4094361600 4110417920 4176248832 4227858432 4242538496 4261478400 4278190080 4350259200 4367319040 4404019200 4492099584 4545576960 4624220160 4640276480 4679270400 4772855808 4848615424 4913233920 4932501504 4971724800 4991221760 5033164800 5133828096 5138022400 5220311040 5240782848 5284823040 5303173120 5347737600 5454692352 5459148800 5568331776 5615124480 5681971200 5704253440 5780275200 5800345600 5872025600 5966069760 5989466112 6060769280 6141542400 6165626880 6239027200 6363807744 6417285120 6525388800 6550978560 6606028800 6628966400 6818365440 6960414720 6987710464 7018905600 7046430720 7130316800 7272923136 7398752256 7424442368 7457587200 7486832640 7549747200 7575961600 7707033600 7861174272 7954759680 7985954816 8021606400 8188723200 8220835840 8352497664 8485076992 8522956800 8556380160 8700518400 8734638080 8808038400 8984199168 9091153920 9248440320 9280552960 9358540800 9545711616 9697230848 9826467840 9865003008 9943449600 9982443520 10267656192 10276044800 10440622080 10481565696 10569646080 10606346240 10695475200 10909384704 10918297600 11136663552 11230248960 11363942400 11560550400 11600691200 11744051200 11932139520 11978932224 12121538560 12283084800 12331253760 12478054400 12727615488 12834570240 13050777600 13101957120 13212057600 13257932800 13636730880 13920829440 13975420928 14037811200 14260633600 14545846272 14797504512 14848884736 14915174400 14973665280 15099494400 15151923200 15414067200 15722348544 15909519360 16043212800 16377446400 16441671680 16704995328 16970153984 17045913600 17112760320 17401036800 17469276160 17616076800 17968398336 18182307840 18496880640 18561105920 18717081600 19091423232 19394461696 19652935680 19886899200 19964887040 20552089600 20881244160 20963131392 21139292160 21212692480 21390950400 21818769408 21836595200 22273327104 22460497920 22727884800 23121100800 23201382400 23864279040 23957864448 24243077120 24566169600 24662507520 24956108800 25455230976 25669140480 26101555200 26203914240 26424115200 26515865600 27273461760 27841658880 27950841856 28075622400 28521267200 29091692544 29595009024 29697769472 29830348800 29947330560 30303846400 30828134400 31444697088 31819038720 32086425600 32754892800 33409990656 33940307968 34091827200 34802073600 34938552320 35232153600 35936796672 36364615680 36993761280 37122211840 37434163200 38182846464 39305871360 39773798400 39929774080 41104179200 41762488320 41926262784 42425384960 42781900800 43637538816 43673190400 44546654208 44920995840 45455769600 46242201600 46402764800 47728558080 48486154240 49132339200 49325015040 49912217600 50910461952 51338280960 52203110400 52407828480 52848230400 53031731200 54546923520 55683317760 55901683712 56151244800 58183385088 59395538944 59660697600 59894661120 60607692800 61656268800 62889394176 63638077440 64172851200 65509785600 66819981312 67880615936 68183654400 69604147200 69877104640 71873593344 72729231360 73987522560 74244423680 74868326400 76365692928 78611742720 79547596800 82208358400 83524976640 83852525568 84850769920 85563801600 87275077632 87346380800 89093308416 89841991680 90911539200 92484403200 92805529600 95457116160 96972308480 98264678400 99824435200 101820923904 104406220800 104815656960 105696460800 106063462400 109093847040 111366635520 112302489600 118791077888 119321395200 119789322240 121215385600 123312537600 125778788352 127276154880 128345702400 131019571200 133639962624 135761231872 136367308800 139208294400 139754209280 145458462720 147975045120 148488847360 149736652800 152731385856 157223485440 159095193600 167049953280 167705051136 169701539840 174550155264 174692761600 178186616832 179683983360 181823078400 184968806400 185611059200 190914232320 196529356800 199648870400 203641847808 208812441600 209631313920 212126924800 218187694080 222733271040 224604979200 237582155776 238642790400 242430771200 246625075200 251557576704 254552309760 256691404800 262039142400 267279925248 272734617600 278416588800 279508418560 290916925440 296977694720 299473305600 305462771712 314446970880 318190387200 334099906560 339403079680 349385523200 356373233664 359367966720 363646156800 369937612800 371222118400 381828464640 393058713600 407283695616 417624883200 419262627840 424253849600 436375388160 445466542080 449209958400 475164311552 477285580800 484861542400 503115153408 509104619520 524078284800 534559850496 545469235200 556833177600 593955389440 598946611200 610925543424 628893941760 636380774400 668199813120 678806159360 698771046400 712746467328 727292313600 739875225600 742444236800 763656929280 786117427200 835249766400 838525255680 848507699200 872750776320 890933084160 898419916800 950328623104 954571161600 1018209239040 1048156569600 1069119700992 1090938470400 1113666355200 1187910778880 1221851086848 1257787883520 1272761548800 1336399626240 1397542092800 1425492934656 1454584627200 1484888473600 1527313858560 1572234854400 1670499532800 1697015398400 1781866168320 1796839833600 1909142323200 2036418478080 2096313139200 2138239401984 2181876940800 2227332710400 2375821557760 2515575767040 2545523097600 2672799252480 2850985869312 2969776947200 3054627717120 3144469708800 3340999065600 3394030796800 3563732336640 3818284646400 4192626278400 4276478803968 4363753881600 4454665420800 4751643115520 5091046195200 5345598504960 5939553894400 6109255434240 6288939417600 6681998131200 7127464673280 7636569292800 8552957607936 8909330841600 10182092390400 10691197009920 11879107788800 12577878835200 13363996262400 14254929346560 15273138585600 17818661683200 21382394019840 23758215577600 26727992524800 30546277171200 35637323366400 42764788039680 53455985049600 71274646732800 106911970099200 213823940198400
- Sum of all divisors σ(n): 946516429923519
- Sum of proper divisors (its aliquot sum) s(n): 732692489725119
- 213823940198400 is an abundant number, because the sum of its proper divisors (732692489725119) is greater than itself. Its abundance is 518868549526719
Bases of 213823940198400
- Binary: 1100001001111000110001000000000000000000000000002
- Hexadecimal: 0xC278C4000000
- Base-36: 23SLD181S0
Squares and roots of 213823940198400
- 213823940198400 squared (2138239401984002) is 45720677401968939431362560000
- 213823940198400 cubed (2138239401984003) is 9776175390628944783385939730868731904000000
-
213823940198400 is a
perfect square number . Itssquare root is 14622720 -
The
cube root of 213823940198400 is 59797.8325518003
Scales and comparisons
How big is 213823940198400?- 213,823,940,198,400 seconds is equal to 6,798,939 years, 46 weeks, 4 days, 16 hours.
-
To count from 1 to 213,823,940,198,400 would take you about sixteen million, nine hundred ninety-seven thousand, three hundred forty-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 213823940198400 cubic inches would be around 4983.2 feet tall.
Recreational maths with 213823940198400
- 213823940198400 backwards is 004891049328312
- The number of decimal digits it has is: 15
- The sum of 213823940198400'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 213823940198400 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 213823940198400 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/213823940198400/
Chicago style:
Numbermatics. 2024. "Number 213823940198400 - Facts about the integer". https://numbermatics.com/n/213823940198400/
The information we have on file for 213823940198400 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 213823940198400, math, Factors of 213823940198400, curriculum, school, college, exams, university, Prime factorization of 213823940198400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, eight hundred twenty-three billion, nine hundred forty million, one hundred ninety-eight thousand, four hundred.