213824028672000
213,824,028,672,000 is an even composite number composed of six prime numbers multiplied together.
213824028672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 213824028672000:
217 × 32 × 53 × 29 × 31 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 31 × 1613)See below for interesting mathematical facts about the number 213824028672000 from the Numbermatics database.
Names of 213824028672000
- Cardinal: 213824028672000 can be written as Two hundred thirteen trillion, eight hundred twenty-four billion, twenty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.13824028672 × 1014
Factors of 213824028672000
Divisors of 213824028672000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 31 32 36 40 45 48 50 58 60 62 64 72 75 80 87 90 93 96 100 116 120 124 125 128 144 145 150 155 160 174 180 186 192 200 225 232 240 248 250 256 261 279 288 290 300 310 320 348 360 372 375 384 400 435 450 464 465 480 496 500 512 522 558 576 580 600 620 640 696 720 725 744 750 768 775 800 870 899 900 928 930 960 992 1000 1024 1044 1116 1125 1152 1160 1200 1240 1280 1305 1392 1395 1440 1450 1488 1500 1536 1550 1600 1613 1740 1798 1800 1856 1860 1920 1984 2000 2048 2088 2175 2232 2250 2304 2320 2325 2400 2480 2560 2610 2697 2784 2790 2880 2900 2976 3000 3072 3100 3200 3226 3480 3596 3600 3625 3712 3720 3840 3875 3968 4000 4096 4176 4350 4464 4495 4500 4608 4640 4650 4800 4839 4960 5120 5220 5394 5568 5580 5760 5800 5952 6000 6144 6200 6400 6452 6525 6960 6975 7192 7200 7250 7424 7440 7680 7750 7936 8000 8065 8091 8192 8352 8700 8928 8990 9000 9216 9280 9300 9600 9678 9920 10240 10440 10788 10875 11136 11160 11520 11600 11625 11904 12000 12288 12400 12800 12904 13050 13485 13920 13950 14384 14400 14500 14517 14848 14880 15360 15500 15872 16000 16130 16182 16384 16704 17400 17856 17980 18000 18432 18560 18600 19200 19356 19840 20480 20880 21576 21750 22272 22320 22475 23040 23200 23250 23808 24000 24195 24576 24800 25600 25808 26100 26970 27840 27900 28768 28800 29000 29034 29696 29760 30720 31000 31744 32000 32260 32364 32625 32768 33408 34800 34875 35712 35960 36000 36864 37120 37200 38400 38712 39680 40325 40455 40960 41760 43152 43500 44544 44640 44950 46080 46400 46500 46777 47616 48000 48390 49152 49600 50003 51200 51616 52200 53940 55680 55800 57536 57600 58000 58068 59392 59520 61440 62000 63488 64000 64520 64728 65250 65536 66816 67425 69600 69750 71424 71920 72000 72585 73728 74240 74400 76800 77424 79360 80650 80910 81920 83520 86304 87000 89088 89280 89900 92160 92800 93000 93554 95232 96000 96780 98304 99200 100006 102400 103232 104400 107880 111360 111600 112375 115072 115200 116000 116136 118784 119040 120975 122880 124000 126976 128000 129040 129456 130500 131072 133632 134850 139200 139500 140331 142848 143840 144000 145170 147456 148480 148800 150009 153600 154848 158720 161300 161820 163840 167040 172608 174000 178176 178560 179800 184320 185600 186000 187108 190464 192000 193560 196608 198400 200012 201625 202275 204800 206464 208800 215760 222720 223200 224750 230144 230400 232000 232272 233885 237568 238080 241950 245760 248000 250015 253952 256000 258080 258912 261000 267264 269700 278400 279000 280662 285696 287680 288000 290340 294912 296960 297600 300018 307200 309696 317440 322600 323640 327680 334080 337125 345216 348000 356352 357120 359600 362925 368640 371200 372000 374216 380928 384000 387120 393216 396800 400024 403250 404550 409600 412928 417600 420993 431520 445440 446400 449500 450027 460288 460800 464000 464544 467770 475136 476160 483900 491520 496000 500030 507904 512000 516160 517824 522000 534528 539400 556800 558000 561324 571392 575360 576000 580680 589824 593920 595200 600036 604875 614400 619392 634880 645200 647280 655360 668160 674250 690432 696000 701655 712704 714240 719200 725850 737280 742400 744000 748432 750045 761856 768000 774240 793600 800048 806500 809100 819200 825856 835200 841986 863040 890880 892800 899000 900054 920576 921600 928000 929088 935540 950272 952320 967800 983040 992000 1000060 1011375 1015808 1024000 1032320 1035648 1044000 1069056 1078800 1113600 1116000 1122648 1142784 1150720 1152000 1161360 1169425 1179648 1187840 1190400 1200072 1209750 1228800 1238784 1250075 1269760 1290400 1294560 1336320 1348500 1380864 1392000 1403310 1425408 1428480 1438400 1450087 1451700 1474560 1484800 1488000 1496864 1500090 1523712 1536000 1548480 1587200 1600096 1613000 1618200 1638400 1651712 1670400 1683972 1726080 1781760 1785600 1798000 1800108 1814625 1841152 1843200 1856000 1858176 1871080 1900544 1904640 1935600 1966080 1984000 2000120 2022750 2031616 2048000 2064640 2071296 2088000 2104965 2138112 2157600 2227200 2232000 2245296 2250135 2285568 2301440 2304000 2322720 2338850 2375680 2380800 2400144 2419500 2457600 2477568 2500150 2539520 2580800 2589120 2672640 2697000 2761728 2784000 2806620 2850816 2856960 2876800 2900174 2903400 2949120 2969600 2976000 2993728 3000180 3047424 3072000 3096960 3174400 3200192 3226000 3236400 3276800 3303424 3340800 3367944 3452160 3508275 3563520 3571200 3596000 3600216 3629250 3682304 3686400 3712000 3716352 3742160 3750225 3801088 3809280 3871200 3968000 4000240 4045500 4063232 4096000 4129280 4142592 4176000 4209930 4276224 4315200 4350261 4454400 4464000 4490592 4500270 4571136 4602880 4608000 4645440 4677700 4751360 4761600 4800288 4839000 4915200 4955136 5000300 5079040 5161600 5178240 5345280 5394000 5523456 5568000 5613240 5701632 5713920 5753600 5800348 5806800 5847125 5898240 5939200 5952000 5987456 6000360 6094848 6144000 6193920 6250375 6348800 6400384 6452000 6472800 6606848 6681600 6735888 6904320 7016550 7127040 7142400 7192000 7200432 7250435 7258500 7364608 7372800 7424000 7432704 7484320 7500450 7618560 7742400 7936000 8000480 8091000 8192000 8258560 8285184 8352000 8419860 8552448 8630400 8700522 8908800 8928000 8981184 9000540 9142272 9205760 9216000 9290880 9355400 9502720 9523200 9600576 9678000 9830400 9910272 10000600 10158080 10323200 10356480 10524825 10690560 10788000 11046912 11136000 11226480 11250675 11403264 11427840 11507200 11600696 11613600 11694250 11878400 11904000 11974912 12000720 12189696 12288000 12387840 12500750 12697600 12800768 12904000 12945600 13050783 13213696 13363200 13471776 13808640 14033100 14254080 14284800 14384000 14400864 14500870 14517000 14729216 14745600 14848000 14865408 14968640 15000900 15237120 15484800 15872000 16000960 16182000 16384000 16517120 16570368 16704000 16839720 17104896 17260800 17401044 17541375 17817600 17856000 17962368 18001080 18284544 18411520 18432000 18581760 18710800 18751125 19005440 19046400 19201152 19356000 19820544 20001200 20316160 20646400 20712960 21049650 21381120 21576000 21751305 22093824 22272000 22452960 22501350 22855680 23014400 23201392 23227200 23388500 23756800 23808000 23949824 24001440 24576000 24775680 25001500 25395200 25601536 25808000 25891200 26101566 26427392 26726400 26943552 27617280 28066200 28508160 28569600 28768000 28801728 29001740 29034000 29458432 29491200 29696000 29730816 29937280 30001800 30474240 30969600 31744000 32001920 32364000 33034240 33140736 33408000 33679440 34209792 34521600 34802088 35082750 35635200 35712000 35924736 36002160 36252175 36569088 36823040 36864000 37163520 37421600 37502250 38092800 38402304 38712000 39641088 40002400 41292800 41425920 42099300 42762240 43152000 43502610 44187648 44544000 44905920 45002700 45711360 46028800 46402784 46454400 46777000 47513600 47616000 47899648 48002880 49152000 49551360 50003000 50790400 51203072 51616000 51782400 52203132 52624125 52854784 53452800 53887104 55234560 56132400 56253375 57016320 57139200 57536000 57603456 58003480 58068000 58916864 59392000 59461632 59874560 60003600 60948480 61939200 63488000 64003840 64728000 65253915 66068480 66281472 66816000 67358880 69043200 69604176 70165500 71270400 71424000 71849472 72004320 72504350 73646080 73728000 74327040 74843200 75004500 76185600 76804608 77424000 79282176 80004800 82585600 82851840 84198600 85524480 86304000 87005220 88375296 89088000 89811840 90005400 91422720 92057600 92805568 92908800 93554000 95027200 95232000 95799296 96005760 99102720 100006000 101580800 102406144 103232000 103564800 104406264 105248250 105709568 106905600 107774208 108756525 110469120 112264800 112506750 114278400 115072000 115206912 116006960 116136000 117833728 118784000 118923264 119749120 120007200 123878400 126976000 128007680 129456000 130507830 132136960 132562944 133632000 134717760 138086400 139208352 140331000 142540800 142848000 143698944 144008640 145008700 147292160 147456000 148654080 149686400 150009000 152371200 153609216 154848000 158564352 160009600 165171200 165703680 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464027840 464544000 475136000 475693056 478996480 480028800 495513600 507904000 512030720 517824000 522031320 528547840 530251776 534528000 538871040 543782625 552345600 556833408 561324000 571392000 574795776 576034560 580034800 589168640 594616320 598745600 600036000 614436864 619392000 634257408 640038400 652539150 660684800 662814720 673588800 690432000 696041760 712704000 718494720 720043200 725043500 736460800 742444544 743270400 748432000 761856000 766394368 768046080 792821760 800048000 819249152 825856000 828518400 835250112 841986000 855244800 862193664 870052200 883752960 898118400 900054000 914227200 920576000 921655296 928055680 929088000 951386112 957992960 960057600 991027200 1024061440 1035648000 1044062640 1057095680 1060503552 1069056000 1077742080 1087565250 1104691200 1113666816 1122648000 1142784000 1149591552 1152069120 1160069600 1189232640 1197491200 1200072000 1228873728 1238784000 1280076800 1305078300 1321369600 1325629440 1347177600 1380864000 1392083520 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4418764800 4454667264 4490592000 4571136000 4598366208 4608276480 4640278400 4756930560 4789964800 4800288000 4915494912 4955136000 5120307200 5220313200 5285478400 5302517760 5388710400 5523456000 5568334080 5747957760 5760345600 5800348000 5939556352 5946163200 5987456000 6131154944 6144368640 6400384000 6525391500 6553993216 6606848000 6628147200 6682000896 6735888000 6897549312 6960417600 7184947200 7200432000 7364608000 7373242368 7424445440 7432704000 7663943680 7680460800 7928217600 8192491520 8285184000 8352501120 8621936640 8700522000 8837529600 8909334528 8981184000 9196732416 9216552960 9280556800 9513861120 9579929600 9600576000 9830989824 9910272000 10240614400 10440626400 10777420800 11046912000 11136668160 11495915520 11520691200 11600696000 11879112704 11892326400 11974912000 12288737280 12800768000 13050783000 13213696000 13256294400 13364001792 13471776000 13795098624 13920835200 14369894400 14400864000 14729216000 14746484736 14848890880 14865408000 15327887360 15360921600 15856435200 16384983040 16570368000 16705002240 17243873280 17401044000 17818669056 17962368000 18393464832 18433105920 18561113600 19159859200 19201152000 19661979648 19820544000 20481228800 20881252800 21554841600 22093824000 22273336320 22991831040 23041382400 23201392000 23758225408 23784652800 23949824000 24577474560 25601536000 26101566000 26427392000 26512588800 26728003584 26943552000 27590197248 27841670400 28739788800 28801728000 29492969472 29697781760 29730816000 30655774720 30721843200 32769966080 33140736000 33410004480 34487746560 34802088000 35637338112 35924736000 36866211840 37122227200 38319718400 38402304000 39641088000 40962457600 41762505600 43109683200 44187648000 44546672640 45983662080 46082764800 46402784000 47516450816 47569305600 47899648000 49154949120 51203072000 52203132000 53456007168 53887104000 55180394496 55683340800 57479577600 57603456000 58985938944 59395563520 59461632000 61443686400 66281472000 66820008960 68975493120 69604176000 71274676224 71849472000 73732423680 74244454400 76639436800 76804608000 79282176000 81924915200 83525011200 86219366400 89093345280 91967324160 92165529600 92805568000 95032901632 95799296000 98309898240 102406144000 104406264000 106912014336 107774208000 111366681600 114959155200 115206912000 118791127040 118923264000 122887372800 132562944000 133640017920 137950986240 139208352000 142549352448 143698944000 147464847360 148488908800 153278873600 153609216000 163849830400 167050022400 172438732800 178186690560 184331059200 185611136000 190065803264 191598592000 204812288000 208812528000 213824028672 215548416000 222733363200 229918310400 230413824000 237582254080 237846528000 245774745600 267280035840 275901972480 278416704000 285098704896 287397888000 294929694720 296977817600 307218432000 334100044800 344877465600 356373381120 368662118400 371222272000 383197184000 409624576000 417625056000 427648057344 431096832000 445466726400 459836620800 460827648000 475164508160 491549491200 534560071680 556833408000 570197409792 574795776000 593955635200 614436864000 668200089600 689754931200 712746762240 737324236800 742444544000 766394368000 819249152000 835250112000 855296114688 862193664000 890933452800 921655296000 950329016320 1069120143360 1113666816000 1149591552000 1187911270400 1228873728000 1336400179200 1379509862400 1425493524480 1474648473600 1484889088000 1670500224000 1710592229376 1724387328000 1781866905600 1843310592000 2138240286720 2227333632000 2299183104000 2375822540800 2457747456000 2672800358400 2850987048960 2969778176000 3341000448000 3448774656000 3563733811200 3686621184000 4276480573440 4454667264000 4751645081600 5345600716800 5939556352000 6682000896000 6897549312000 7127467622400 7373242368000 8552961146880 8909334528000 10691201433600 11879112704000 13364001792000 14254935244800 17818669056000 21382402867200 23758225408000 26728003584000 35637338112000 42764805734400 53456007168000 71274676224000 106912014336000 213824028672000
- Sum of all divisors σ(n): 823722595637760
- Sum of proper divisors (its aliquot sum) s(n): 609898566965760
- 213824028672000 is an abundant number, because the sum of its proper divisors (609898566965760) is greater than itself. Its abundance is 396074538293760
Bases of 213824028672000
- Binary: 1100001001111000110010010100011000000000000000002
- Hexadecimal: 0xC278C9460000
- Base-36: 23SLEHWCG0
Squares and roots of 213824028672000
- 213824028672000 squared (2138240286720002) is 45720715237524278083584000000
- 213824028672000 cubed (2138240286720003) is 9776187525852738527240366428520448000000000
-
The
square root of 213824028672000 is 14622723.0252097711 -
The
cube root of 213824028672000 is 59797.8407992845
Scales and comparisons
How big is 213824028672000?- 213,824,028,672,000 seconds is equal to 6,798,942 years, 36 weeks, 6 days, 16 hours.
-
To count from 1 to 213,824,028,672,000 would take you about sixteen million, nine hundred ninety-seven thousand, three hundred fifty-six 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 213824028672000 cubic inches would be around 4983.2 feet tall.
Recreational maths with 213824028672000
- 213824028672000 backwards is 000276820428312
- 213824028672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213824028672000's digits is 45
- More coming soon!
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The information we have on file for 213824028672000 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!
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