214138121683200
214,138,121,683,200 is an even composite number composed of eight prime numbers multiplied together.
214138121683200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 214138121683200:
28 × 3 × 52 × 11 × 13 × 61 × 421 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 61 × 421 × 3037)See below for interesting mathematical facts about the number 214138121683200 from the Numbermatics database.
Names of 214138121683200
- Cardinal: 214138121683200 can be written as Two hundred fourteen trillion, one hundred thirty-eight billion, one hundred twenty-one million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 2.141381216832 × 1014
Factors of 214138121683200
Divisors of 214138121683200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 61 64 65 66 75 78 80 88 96 100 104 110 120 122 128 130 132 143 150 156 160 165 176 183 192 195 200 208 220 240 244 256 260 264 275 286 300 305 312 320 325 330 352 366 384 390 400 416 421 429 440 480 488 520 528 550 572 600 610 624 640 650 660 671 704 715 732 768 780 793 800 825 832 842 858 880 915 960 975 976 1040 1056 1100 1144 1200 1220 1248 1263 1280 1300 1320 1342 1408 1430 1464 1525 1560 1586 1600 1650 1664 1684 1716 1760 1830 1920 1950 1952 2013 2080 2105 2112 2145 2200 2288 2379 2400 2440 2496 2526 2600 2640 2684 2816 2860 2928 3037 3050 3120 3172 3200 3300 3328 3355 3368 3432 3520 3575 3660 3840 3900 3904 3965 4026 4160 4210 4224 4290 4400 4575 4576 4631 4758 4800 4880 4992 5052 5200 5280 5368 5473 5720 5856 6074 6100 6240 6315 6344 6400 6600 6710 6736 6864 7040 7150 7320 7800 7808 7930 8052 8320 8420 8448 8580 8723 8800 9111 9150 9152 9262 9516 9600 9760 9984 10065 10104 10400 10525 10560 10725 10736 10946 11440 11712 11895 12148 12200 12480 12630 12688 13200 13420 13472 13728 13893 14080 14300 14640 15185 15600 15616 15860 16104 16419 16640 16775 16840 17160 17446 17600 18222 18300 18304 18524 19032 19200 19520 19825 20130 20208 20800 21050 21120 21450 21472 21892 22880 23155 23424 23790 24296 24400 24960 25260 25376 25681 26169 26400 26840 26944 27365 27456 27786 28600 29280 30370 31200 31575 31720 32208 32838 33407 33550 33680 34320 34892 35200 36444 36600 36608 37048 38064 39040 39481 39650 40260 40416 41600 42100 42240 42900 42944 43615 43784 45555 45760 46310 46848 47580 48592 48800 49920 50325 50520 50752 51362 52338 52800 53680 53888 54730 54912 55572 57200 58560 59475 60203 60740 62400 63150 63440 64416 65676 66814 67100 67360 68640 69465 69784 70400 72888 73200 74096 75925 76128 77043 78080 78962 79300 80520 80832 82095 83200 84200 85800 85888 87230 87568 91110 91520 92620 95160 97184 97600 100221 100650 101040 101504 102724 104676 105600 107360 107776 109460 109824 111144 114400 115775 117120 118443 118950 120406 121480 124800 126300 126880 128405 128832 130845 131352 133628 134200 134720 136825 137280 138930 139568 145776 146400 148192 151850 152256 154086 157924 158600 161040 161664 164190 167035 168400 171600 171776 174460 175136 180609 182220 183040 185240 185257 190320 194368 195200 197405 200442 201300 202080 203008 205448 209352 211200 214720 218075 218920 222288 227775 228800 231550 234240 236886 237900 240812 242960 249600 252600 253760 256810 257664 261690 262704 267256 268400 269440 273650 274560 277860 279136 282491 291552 292800 296384 301015 303700 304512 308172 315848 317200 322080 323328 328380 333853 334070 336800 343200 347325 348920 350272 361218 364440 370480 370514 380640 385215 388736 390400 394810 400884 402600 404160 410475 410896 418704 429440 434291 436150 437840 444576 455550 457600 463100 473772 475800 481624 485920 501105 505200 507520 513620 515328 523380 525408 534512 536800 538880 547300 549120 555720 555771 558272 564982 583104 585600 592215 592768 602030 607400 609024 616344 631696 634400 642025 644160 654225 656760 667706 668140 673600 686400 694650 697840 700544 722436 728880 740960 741028 761280 770430 777472 789620 801768 805200 808320 820950 821792 835175 837408 847473 858880 868582 872300 875680 889152 903045 911100 915200 926200 926285 947544 951600 963248 971840 987025 1001559 1002210 1010400 1015040 1027240 1046760 1050816 1069024 1073600 1094600 1111440 1111542 1116544 1129964 1166208 1171200 1184430 1185536 1204060 1214800 1232688 1263392 1268800 1278577 1284050 1288320 1302873 1308450 1313520 1335412 1336280 1347200 1372800 1389300 1395680 1401088 1412455 1444872 1457760 1481920 1482056 1505075 1522560 1540860 1579240 1603536 1610400 1616640 1641900 1643584 1669265 1670350 1674816 1694946 1737164 1744600 1751360 1778304 1806090 1822200 1852400 1852570 1895088 1903200 1926075 1926496 1943680 1974050 2003118 2004420 2020800 2037827 2054480 2093520 2101632 2138048 2147200 2171455 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182836511 183619150 189508800 191786550 192649600 192667280 195631392 199458012 200311800 203782700 204572320 208459680 210965205 211934008 213665920 213804800 216953088 220342980 222308400 225029552 225992800 231179520 231200736 233979591 235032512 237128960 240834100 244539240 245486784 246537600 249322515 252678400 255715400 256399104 260574600 260841856 264917510 265944016 267082400 271191360 275428725 277946240 281286940 288974400 289000920 293790640 296411200 305674050 306858480 308267648 311972788 317901012 320498880 320707200 326052320 327315712 332430020 333535488 337544328 338989200 347432800 351608675 352548768 355693440 361251150 361588480 365673022 367238300 379017600 383573100 385299200 385334560 389965985 391262784 397376265 398916024 400623600 407565400 409144640 415537525 416919360 421930410 423868016 427331840 440685960 444616800 450059104 451985600 462401472 467959182 470065024 481668200 489078480 490973568 493075200 498645030 511430800 521149200 521683712 529835020 531888032 534164800 542382720 548509533 550857450 555892480 562573880 577948800 578001840 587581280 592822400 611348100 613716960 616535296 623945576 635802024 640997760 641414400 652104640 662293775 664860040 675088656 677978400 694865600 703217350 705097536 711386880 722502300 731346044 734476600 758035200 767146200 770669120 779931970 782525568 794752530 797832048 801247200 815130800 818289280 831075050 833838720 843860820 847736032 857925167 881371920 889233600 900118208 903971200 914182555 924802944 935918364 940130048 963336400 978156960 981947136 997290060 1013911561 1022861600 1042298400 1054826025 1059670040 1063776064 1068329600 1084765440 1097019066 1101714900 1125147760 1155897600 1156003680 1169897955 1175162560 1185644800 1222696200 1227433920 1246612575 1247891152 1271604048 1281995520 1304209280 1324587550 1329720080 1350177312 1355956800 1389731200 1406434700 1410195072 1445004600 1462692088 1468953200 1534292400 1541338240 1559863940 1565051136 1589505060 1595664096 1602494400 1630261600 1636578560 1662150100 1667677440 1687721640 1695472064 1715850334 1762743840 1778467200 1800236416 1807942400 1828365110 1849605888 1871836728 1926672800 1949829925 1956313920 1986881325 1994580120 2027823122 2045723200 2084596800 2109652050 2119340080 2127552128 2136659200 2194038132 2203429800 2250295520 2312007360 2339795910 2350325120 2445392400 2454867840 2493225150 2495782304 2543208096 2573775501 2608418560 2649175100 2659440160 2700354624 2711913600 2742547665 2779462400 2812869400 2820390144 2890009200 2925384176 2937906400 3041734683 3068584800 3082676480 3119727880 3179010120 3191328192 3204988800 3260523200 3324300200 3375443280 3390944128 3431700668 3525487680 3556934400 3600472832 3656730220 3743673456 3853345600 3899659850 3912627840 3973762650 3989160240 4055646244 4091446400 4169193600 4219304100 4238680160 4255104256 4289625835 4388076264 4406859600 4500591040 4570912775 4624014720 4679591820 4700650240 4890784800 4909735680 4986450300 4991564608 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18718367280 19563139200 19945801200 19966258432 20278231220 20345664768 20590204008 21193400800 21275521280 21448129175 21940381320 22306054342 22502955200 23120073600 23397959100 23403073408 23503251200 24333877464 24548678400 24957823040 25347789025 25432080960 25737755010 26594401600 27003546240 27425476650 27453605344 29253841760 29949387648 30417346830 31197278800 31790101200 31913281920 32445169952 33459081513 33754432800 33909441280 34317006680 35104610112 35254876800 36567302200 37436734560 39126278400 39891602400 40556462440 41180408016 42386801600 42896258350 43880762640 44612108684 45005910400 46240147200 46795918200 46806146816 48667754928 49915646080 50695578050 50864161920 51475510020 53188803200 54007092480 54850953300 54907210688 55765135855 58507683520 59898775296 60834693660 62394557600 63580202400 63826563840 64344387525 64890339904 66918163026 67508865600 68634013360 70209220224 70509753600 73134604400 74873469120 76043367075 79783204800 81112924880 82360816032 84773603200 85792516700 87761525280 89224217368 90011820800 93591836400 97335509856 99831292160 101391156100 101728323840 102951020040 106377606400 109701906600 109814421376 111530271710 117015367040 121669387320 124789115200 127160404800 128688775050 129780679808 133836326052 135017731200 137268026720 140418440448 146269208800 149746938240 152086734150 159566409600 162225849760 164721632064 167295407565 169547206400 171585033400 175523050560 178448434736 187183672800 194671019712 202782312200 205902040080 219403813200 219628842752 223060543420 234030734080 243338774640 249578230400 254320809600 257377550100 259561359616 267672652104 270035462400 274536053440 278825679275 292538417600 299493876480 304173468300 319132819200 324451699520 329443264128 334590815130 343170066800 351046101120 356896869472 374367345600 389342039424 405564624400 411804080160 438807626400 446121086840 486677549280 499156460800 508641619200 514755100200 535345304208 549072106880 557651358550 585076835200 608346936600 648903399040 658886528256 669181630260 686340133600 702092202240 713793738944 748734691200 778684078848 811129248800 823608160320 836477037825 877615252800 892242173680 973355098560 1029510200400 1070690608416 1098144213760 1115302717100 1170153670400 1216693873200 1297806798080 1338363260520 1372680267200 1427587477888 1497469382400 1622258497600 1647216320640 1672954075650 1755230505600 1784484347360 1946710197120 2059020400800 2141381216832 2230605434200 2433387746400 2676726521040 2745360534400 2855174955776 3244516995200 3294432641280 3345908151300 3510461011200 3568968694720 3893420394240 4118040801600 4282762433664 4461210868400 4866775492800 5353453042080 5490721068800 6489033990400 6691816302600 7137937389440 8236081603200 8565524867328 8922421736800 9733550985600 10706906084160 13383632605200 14275874778880 16472163206400 17844843473600 19467101971200 21413812168320 26767265210400 35689686947200 42827624336640 53534530420800 71379373894400 107069060841600 214138121683200
- Sum of all divisors σ(n): 846143021547264
- Sum of proper divisors (its aliquot sum) s(n): 632004899864064
- 214138121683200 is an abundant number, because the sum of its proper divisors (632004899864064) is greater than itself. Its abundance is 417866778180864
Bases of 214138121683200
- Binary: 1100001011000001111010101010110100000001000000002
- Hexadecimal: 0xC2C1EAAD0100
- Base-36: 23WLP0RMYO
Squares and roots of 214138121683200
- 214138121683200 squared (2141381216832002) is 45855135158008970001162240000
- 214138121683200 cubed (2141381216832003) is 9819332512265307277145978194545082368000000
-
The
square root of 214138121683200 is 14633458.9787650685 -
The
cube root of 214138121683200 is 59827.1061332729
Scales and comparisons
How big is 214138121683200?- 214,138,121,683,200 seconds is equal to 6,808,929 years, 46 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 214,138,121,683,200 would take you about seventeen million, twenty-two thousand, three hundred twenty-four 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 214138121683200 cubic inches would be around 4985.6 feet tall.
Recreational maths with 214138121683200
- 214138121683200 backwards is 002386121831412
- The number of decimal digits it has is: 15
- The sum of 214138121683200's digits is 42
- More coming soon!
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"Number 214138121683200 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 214138121683200 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/214138121683200/
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The information we have on file for 214138121683200 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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