213474764390400
213,474,764,390,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 213474764390400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
213474764390400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 213474764390400:
223 × 35 × 52 × 59 × 71
(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 × 3 × 3 × 3 × 5 × 5 × 59 × 71)See below for interesting mathematical facts about the number 213474764390400 from the Numbermatics database.
Names of 213474764390400
- Cardinal: 213474764390400 can be written as Two hundred thirteen trillion, four hundred seventy-four billion, seven hundred sixty-four million, three hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 2.134747643904 × 1014
Factors of 213474764390400
Divisors of 213474764390400
- 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 27 30 32 36 40 45 48 50 54 59 60 64 71 72 75 80 81 90 96 100 108 118 120 128 135 142 144 150 160 162 177 180 192 200 213 216 225 236 240 243 256 270 284 288 295 300 320 324 354 355 360 384 400 405 426 432 450 472 480 486 512 531 540 568 576 590 600 639 640 648 675 708 710 720 768 800 810 852 864 885 900 944 960 972 1024 1062 1065 1080 1136 1152 1180 1200 1215 1278 1280 1296 1350 1416 1420 1440 1475 1536 1593 1600 1620 1704 1728 1770 1775 1800 1888 1917 1920 1944 2025 2048 2124 2130 2160 2272 2304 2360 2400 2430 2556 2560 2592 2655 2700 2832 2840 2880 2950 3072 3186 3195 3200 3240 3408 3456 3540 3550 3600 3776 3834 3840 3888 4050 4096 4189 4248 4260 4320 4425 4544 4608 4720 4779 4800 4860 5112 5120 5184 5310 5325 5400 5664 5680 5751 5760 5900 6075 6144 6372 6390 6400 6480 6816 6912 7080 7100 7200 7552 7668 7680 7776 7965 8100 8192 8378 8496 8520 8640 8850 9088 9216 9440 9558 9585 9600 9720 10224 10240 10368 10620 10650 10800 11328 11360 11502 11520 11800 12150 12288 12567 12744 12780 12800 12960 13275 13632 13824 14160 14200 14337 14400 15104 15336 15360 15552 15930 15975 16200 16384 16756 16992 17040 17253 17280 17700 18176 18432 18880 19116 19170 19200 19440 20448 20480 20736 20945 21240 21300 21600 22656 22720 23004 23040 23600 23895 24300 24576 25134 25488 25560 25600 25920 26550 27264 27648 28320 28400 28674 28755 28800 30208 30672 30720 31104 31860 31950 32400 32768 33512 33984 34080 34506 34560 35400 36352 36864 37701 37760 38232 38340 38400 38880 39825 40896 40960 41472 41890 42480 42600 43200 45312 45440 46008 46080 47200 47790 47925 48600 49152 50268 50976 51120 51200 51840 53100 54528 55296 56640 56800 57348 57510 57600 60416 61344 61440 62208 62835 63720 63900 64800 65536 67024 67968 68160 69012 69120 70800 71685 72704 73728 75402 75520 76464 76680 76800 77760 79650 81792 81920 82944 83780 84960 85200 86265 86400 90624 90880 92016 92160 94400 95580 95850 97200 98304 100536 101952 102240 102400 103680 104725 106200 109056 110592 113103 113280 113600 114696 115020 115200 119475 120832 122688 122880 124416 125670 127440 127800 129600 131072 134048 135936 136320 138024 138240 141600 143370 143775 145408 147456 150804 151040 152928 153360 153600 155520 159300 163584 163840 165888 167560 169920 170400 172530 172800 181248 181760 184032 184320 188505 188800 191160 191700 194400 196608 201072 203904 204480 204800 207360 209450 212400 218112 221184 226206 226560 227200 229392 230040 230400 238950 241664 245376 245760 248832 251340 254880 255600 259200 262144 268096 271872 272640 276048 276480 283200 286740 287550 290816 294912 301608 302080 305856 306720 307200 311040 314175 318600 327168 327680 331776 335120 339309 339840 340800 345060 345600 358425 362496 363520 368064 368640 377010 377600 382320 383400 388800 393216 402144 407808 408960 409600 414720 418900 424800 431325 436224 442368 452412 453120 454400 458784 460080 460800 477900 483328 490752 491520 497664 502680 509760 511200 518400 524288 536192 543744 545280 552096 552960 565515 566400 573480 575100 581632 589824 603216 604160 611712 613440 614400 622080 628350 637200 654336 655360 663552 670240 678618 679680 681600 690120 691200 716850 724992 727040 736128 737280 754020 755200 764640 766800 777600 786432 804288 815616 817920 819200 829440 837800 849600 862650 872448 884736 904824 906240 908800 917568 920160 921600 942525 955800 966656 981504 983040 995328 1005360 1017927 1019520 1022400 1036800 1048576 1072384 1087488 1090560 1104192 1105920 1131030 1132800 1146960 1150200 1163264 1179648 1206432 1208320 1223424 1226880 1228800 1244160 1256700 1274400 1308672 1310720 1327104 1340480 1357236 1359360 1363200 1380240 1382400 1433700 1449984 1454080 1472256 1474560 1508040 1510400 1529280 1533600 1555200 1572864 1608576 1631232 1635840 1638400 1658880 1675600 1696545 1699200 1725300 1744896 1769472 1809648 1812480 1817600 1835136 1840320 1843200 1885050 1911600 1933312 1963008 1966080 1990656 2010720 2035854 2039040 2044800 2073600 2097152 2144768 2174976 2181120 2208384 2211840 2262060 2265600 2293920 2300400 2326528 2359296 2412864 2416640 2446848 2453760 2457600 2488320 2513400 2548800 2617344 2621440 2654208 2680960 2714472 2718720 2726400 2760480 2764800 2827575 2867400 2899968 2908160 2944512 2949120 3016080 3020800 3058560 3067200 3110400 3145728 3217152 3262464 3271680 3276800 3317760 3351200 3393090 3398400 3450600 3489792 3538944 3619296 3624960 3635200 3670272 3680640 3686400 3770100 3823200 3866624 3926016 3932160 3981312 4021440 4071708 4078080 4089600 4147200 4194304 4289536 4349952 4362240 4416768 4423680 4524120 4531200 4587840 4600800 4653056 4718592 4825728 4833280 4893696 4907520 4915200 4976640 5026800 5089635 5097600 5234688 5242880 5308416 5361920 5428944 5437440 5452800 5520960 5529600 5655150 5734800 5799936 5816320 5889024 5898240 6032160 6041600 6117120 6134400 6220800 6291456 6434304 6524928 6543360 6553600 6635520 6702400 6786180 6796800 6901200 6979584 7077888 7238592 7249920 7270400 7340544 7361280 7372800 7540200 7646400 7733248 7852032 7864320 7962624 8042880 8143416 8156160 8179200 8294400 8388608 8482725 8579072 8699904 8724480 8833536 8847360 9048240 9062400 9175680 9201600 9306112 9437184 9651456 9666560 9787392 9815040 9830400 9953280 10053600 10179270 10195200 10469376 10485760 10616832 10723840 10857888 10874880 10905600 11041920 11059200 11310300 11469600 11599872 11632640 11778048 11796480 12064320 12083200 12234240 12268800 12441600 12582912 12868608 13049856 13086720 13107200 13271040 13404800 13572360 13593600 13802400 13959168 14155776 14477184 14499840 14540800 14681088 14722560 14745600 15080400 15292800 15466496 15704064 15728640 15925248 16085760 16286832 16312320 16358400 16588800 16965450 17158144 17399808 17448960 17667072 17694720 18096480 18124800 18351360 18403200 18612224 18874368 19302912 19333120 19574784 19630080 19660800 19906560 20107200 20358540 20390400 20938752 20971520 21233664 21447680 21715776 21749760 21811200 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188743680 193029120 193331200 195747840 196300800 199065600 203585400 205897728 208797696 209387520 209715200 212336640 214476800 217157760 217497600 220838400 223346688 226492416 231634944 231997440 232652800 234897408 235560960 235929600 241286400 244684800 247463936 251265024 254803968 257372160 260589312 260997120 261734400 265420800 271447200 274530304 278396928 279183360 282673152 283115520 289543680 289996800 293621760 294451200 297795584 308846592 309329920 313196544 314081280 314572800 318504960 321715200 325736640 326246400 335020032 339738624 343162880 347452416 347996160 348979200 353341440 353894400 361929600 367027200 371195904 372244480 376897536 377487360 386058240 386662400 391495680 392601600 398131200 407170800 411795456 417595392 418775040 424673280 428953600 434315520 434995200 441676800 446693376 463269888 463994880 465305600 469794816 471121920 471859200 482572800 489369600 494927872 502530048 509607936 514744320 521178624 521994240 523468800 530841600 542894400 549060608 556793856 558366720 565346304 566231040 579087360 579993600 587243520 588902400 595591168 617693184 618659840 626393088 628162560 629145600 637009920 643430400 651473280 652492800 670040064 679477248 686325760 694904832 695992320 697958400 706682880 707788800 723859200 734054400 742391808 744488960 753795072 772116480 773324800 782991360 785203200 796262400 814341600 823590912 835190784 837550080 849346560 857907200 868631040 869990400 883353600 893386752 926539776 927989760 930611200 939589632 942243840 943718400 965145600 978739200 1005060096 1019215872 1029488640 1042357248 1043988480 1046937600 1061683200 1085788800 1098121216 1113587712 1116733440 1130692608 1132462080 1158174720 1159987200 1174487040 1177804800 1235386368 1237319680 1252786176 1256325120 1274019840 1286860800 1302946560 1304985600 1340080128 1372651520 1389809664 1391984640 1395916800 1413365760 1415577600 1447718400 1468108800 1484783616 1488977920 1507590144 1544232960 1546649600 1565982720 1570406400 1592524800 1628683200 1647181824 1670381568 1675100160 1698693120 1715814400 1737262080 1739980800 1766707200 1786773504 1853079552 1855979520 1861222400 1879179264 1884487680 1887436800 1930291200 1957478400 2010120192 2038431744 2058977280 2084714496 2087976960 2093875200 2123366400 2171577600 2196242432 2227175424 2233466880 2261385216 2316349440 2319974400 2348974080 2355609600 2470772736 2474639360 2505572352 2512650240 2548039680 2573721600 2605893120 2609971200 2680160256 2745303040 2779619328 2783969280 2791833600 2826731520 2831155200 2895436800 2936217600 2977955840 3015180288 3088465920 3093299200 3131965440 3140812800 3185049600 3257366400 3294363648 3340763136 3350200320 3397386240 3431628800 3474524160 3479961600 3533414400 3706159104 3711959040 3722444800 3758358528 3768975360 3860582400 3914956800 4020240384 4117954560 4169428992 4175953920 4187750400 4246732800 4343155200 4392484864 4454350848 4466933760 4522770432 4632698880 4639948800 4697948160 4711219200 4941545472 5011144704 5025300480 5096079360 5147443200 5211786240 5219942400 5360320512 5490606080 5559238656 5567938560 5583667200 5653463040 5662310400 5790873600 5872435200 6030360576 6176931840 6186598400 6263930880 6281625600 6370099200 6514732800 6588727296 6681526272 6700400640 6863257600 6949048320 6959923200 7066828800 7412318208 7423918080 7444889600 7516717056 7537950720 7721164800 7829913600 8040480768 8235909120 8338857984 8351907840 8375500800 8493465600 8686310400 8784969728 8933867520 9045540864 9265397760 9279897600 9395896320 9422438400 9883090944 10022289408 10050600960 10192158720 10294886400 10423572480 10439884800 10981212160 11118477312 11135877120 11167334400 11306926080 11581747200 11744870400 12060721152 12353863680 12373196800 12527861760 12563251200 12740198400 13029465600 13177454592 13363052544 13400801280 13726515200 13898096640 13919846400 14133657600 14824636416 14889779200 15033434112 15075901440 15442329600 15659827200 16080961536 16471818240 16677715968 16703815680 16751001600 16986931200 17372620800 17569939456 18091081728 18530795520 18559795200 18791792640 18844876800 19766181888 20044578816 20101201920 20589772800 20847144960 20879769600 21962424320 22236954624 22271754240 22334668800 22613852160 23163494400 23489740800 24121442304 24707727360 25055723520 25126502400 25480396800 26058931200 26354909184 26801602560 27453030400 27796193280 27839692800 28267315200 29649272832 30066868224 30151802880 30884659200 31319654400 32943636480 33355431936 33407631360 33502003200 34745241600 35139878912 36182163456 37061591040 37119590400 37583585280 37689753600 39532363776 40089157632 40202403840 41179545600 41694289920 41759539200 43924848640 44473909248 44669337600 45227704320 46326988800 46979481600 48242884608 49415454720 50111447040 50253004800 50960793600 52117862400 52709818368 54906060800 55592386560 55679385600 56534630400 59298545664 60133736448 60303605760 61769318400 62639308800 65887272960 66710863872 66815262720 67004006400 69490483200 72364326912 74123182080 75167170560 75379507200 79064727552 80404807680 82359091200 83388579840 83519078400 87849697280 88947818496 90455408640 92653977600 93958963200 98830909440 100222894080 100506009600 104235724800 105419636736 109812121600 111184773120 111358771200 113069260800 118597091328 120267472896 120607211520 123538636800 125278617600 131774545920 133421727744 134008012800 138980966400 144728653824 148246364160 150334341120 150759014400 158129455104 164718182400 166777159680 167038156800 175699394560 177895636992 180910817280 185307955200 187917926400 197661818880 200445788160 201012019200 208471449600 219624243200 222369546240 226138521600 237194182656 241214423040 247077273600 250557235200 263549091840 266843455488 277961932800 296492728320 300668682240 301518028800 316258910208 329436364800 333554319360 334076313600 355791273984 361821634560 370615910400 375835852800 395323637760 402024038400 416942899200 439248486400 444739092480 452277043200 474388365312 494154547200 501114470400 527098183680 533686910976 555923865600 592985456640 601337364480 603036057600 658872729600 667108638720 711582547968 723643269120 741231820800 751671705600 790647275520 833885798400 878496972800 889478184960 904554086400 948776730624 988309094400 1002228940800 1067373821952 1111847731200 1185970913280 1206072115200 1317745459200 1334217277440 1423165095936 1482463641600 1503343411200 1581294551040 1667771596800 1778956369920 1809108172800 1976618188800 2134747643904 2223695462400 2371941826560 2635490918400 2668434554880 2846330191872 2964927283200 3006686822400 3335543193600 3557912739840 3618216345600 3953236377600 4269495287808 4447390924800 4743883653120 5336869109760 5929854566400 6671086387200 7115825479680 7906472755200 8538990575616 8894781849600 10673738219520 11859709132800 13342172774400 14231650959360 17789563699200 21347476439040 23719418265600 26684345548800 35579127398400 42694952878080 53368691097600 71158254796800 106737382195200 213474764390400
- Sum of all divisors σ(n): 817836886339200
- Sum of proper divisors (its aliquot sum) s(n): 604362121948800
- 213474764390400 is an abundant number, because the sum of its proper divisors (604362121948800) is greater than itself. Its abundance is 390887357558400
Bases of 213474764390400
- Binary: 1100001000100111011101111000000000000000000000002
- Hexadecimal: 0xC22777800000
- Base-36: 23O4YAYO00
Squares and roots of 213474764390400
- 213474764390400 squared (2134747643904002) is 45571475031536791883612160000
- 213474764390400 cubed (2134747643904003) is 9728359895280313056983184874892427264000000
-
The
square root of 213474764390400 is 14610775.6259002211 -
The
cube root of 213474764390400 is 59765.2647415727
Scales and comparisons
How big is 213474764390400?- 213,474,764,390,400 seconds is equal to 6,787,837 years, 9 weeks, 5 days.
-
To count from 1 to 213,474,764,390,400 would take you about sixteen million, nine hundred sixty-nine thousand, five hundred ninety-two 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 213474764390400 cubic inches would be around 4980.4 feet tall.
Recreational maths with 213474764390400
- 213474764390400 backwards is 004093467474312
- 213474764390400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213474764390400's digits is 54
- More coming soon!
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The information we have on file for 213474764390400 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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