213838944144000
213,838,944,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 213838944144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
213838944144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 213838944144000:
27 × 3 × 53 × 7 × 67 × 307 × 30941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 67 × 307 × 30941)See below for interesting mathematical facts about the number 213838944144000 from the Numbermatics database.
Names of 213838944144000
- Cardinal: 213838944144000 can be written as Two hundred thirteen trillion, eight hundred thirty-eight billion, nine hundred forty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.13838944144 × 1014
Factors of 213838944144000
Divisors of 213838944144000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 67 70 75 80 84 96 100 105 112 120 125 128 134 140 150 160 168 175 192 200 201 210 224 240 250 268 280 300 307 320 335 336 350 375 384 400 402 420 448 469 480 500 525 536 560 600 614 640 670 672 700 750 800 804 840 875 896 921 938 960 1000 1005 1050 1072 1120 1200 1228 1340 1344 1400 1407 1500 1535 1600 1608 1675 1680 1750 1842 1876 1920 2000 2010 2100 2144 2149 2240 2345 2400 2456 2625 2680 2688 2800 2814 3000 3070 3200 3216 3350 3360 3500 3684 3752 4000 4020 4200 4288 4298 4480 4605 4690 4800 4912 5025 5250 5360 5600 5628 6000 6140 6432 6447 6700 6720 7000 7035 7368 7504 7675 8000 8040 8375 8400 8576 8596 9210 9380 9600 9824 10050 10500 10720 10745 11200 11256 11725 12000 12280 12864 12894 13400 13440 14000 14070 14736 15008 15350 16000 16080 16750 16800 17192 18420 18760 19648 20100 20569 21000 21440 21490 22400 22512 23025 23450 24000 24560 25125 25728 25788 26800 28000 28140 29472 30016 30700 30941 32160 32235 33500 33600 34384 35175 36840 37520 38375 39296 40200 41138 42000 42880 42980 45024 46050 46900 48000 49120 50250 51576 53600 53725 56000 56280 58625 58944 60032 61400 61707 61882 64320 64470 67000 67200 68768 70350 73680 75040 76750 80400 82276 84000 85960 90048 92100 92823 93800 98240 100500 102845 103152 107200 107450 112000 112560 115125 117250 117888 122800 123414 123764 128640 128940 134000 137536 140700 143983 147360 150080 153500 154705 160800 161175 164552 168000 171920 175875 180096 184200 185646 187600 196480 201000 205690 206304 214400 214900 216587 225120 230250 234500 245600 246828 247528 257880 268000 268625 275072 281400 287966 294720 300160 307000 308535 309410 321600 322350 329104 336000 343840 351750 368400 371292 375200 402000 411380 412608 429800 431949 433174 450240 460500 464115 469000 491200 493656 495056 514225 515760 536000 537250 562800 575932 589440 614000 617070 618820 643200 644700 649761 658208 687680 703500 719915 736800 742584 750400 773525 804000 805875 822760 825216 859600 863898 866348 900480 921000 928230 938000 982400 987312 990112 1028450 1031520 1072000 1074500 1082935 1125600 1151864 1228000 1234140 1237640 1289400 1299522 1316416 1375360 1407000 1439830 1473600 1485168 1500800 1542675 1547050 1608000 1611750 1645520 1719200 1727796 1732696 1842000 1856460 1876000 1974624 1980224 2056900 2063040 2073047 2149000 2159745 2165870 2251200 2303728 2320575 2456000 2468280 2475280 2571125 2578800 2599044 2632832 2814000 2879660 2947200 2970336 3085350 3094100 3216000 3223500 3248805 3291040 3438400 3455592 3465392 3599575 3684000 3712920 3752000 3867625 3949248 3960448 4113800 4126080 4146094 4298000 4319490 4331740 4502400 4607456 4641150 4912000 4936560 4950560 5142250 5157600 5198088 5414675 5628000 5759320 5940672 6170700 6188200 6219141 6447000 6497610 6582080 6876800 6911184 6930784 7199150 7368000 7425840 7504000 7713375 7735250 7898496 8227600 8292188 8596000 8638980 8663480 9214912 9282300 9498887 9873120 9901120 10284500 10315200 10365235 10396176 10798725 10829350 11256000 11518640 11602875 11881344 12341400 12376400 12438282 12894000 12995220 13164160 13822368 13861568 14398300 14511329 14736000 14851680 15426750 15470500 16244025 16455200 16584376 17192000 17277960 17326960 17997875 18429824 18564600 18997774 19746240 19802240 20569000 20630400 20730470 20792352 21597450 21658700 22512000 23037280 23205750 24682800 24752800 24876564 25788000 25990440 27073375 27644736 27723136 28496661 28796600 29022658 29703360 30853500 30941000 31095705 32488050 32910400 33168752 34384000 34555920 34653920 35995750 37129200 37995548 39492480 41138000 41460940 41584704 43194900 43317400 43533987 46074560 46411500 47494435 49365600 49505600 49753128 51576000 51826175 51980880 53993625 54146750 55289472 56993322 57593200 58045316 59406720 61707000 61882000 62191410 64976100 65820800 66337504 66492209 69111840 69307840 71991500 72556645 74258400 75991096 81220125 82276000 82921880 83169408 86389800 86634800 87067974 92149120 92823000 94988870 98731200 99011200 99506256 103152000 103652350 103961760 107987250 108293500 113986644 115186400 116090632 123414000 123764000 124382820 129952200 132675008 132984418 138223680 138615680 142483305 143983000 145113290 148516800 151982192 155478525 162440250 164552000 165843760 172779600 173269600 174135948 185646000 189977740 197462400 199012512 199476627 207304700 207923520 215974500 216587000 217669935 227973288 230372800 232181264 237472175 246828000 247528000 248765640 259130875 259904400 265350016 265968836 276447360 284966610 287966000 290226580 297033600 303964384 310957050 324880500 329104000 331687520 332461045 345559200 346539200 348271896 362783225 371292000 379955480 398025024 398953254 414609400 415847040 431949000 433174000 435339870 455946576 460745600 464362528 474944350 493656000 495056000 497531280 518261750 519808800 531937672 569933220 575932000 580453160 607928768 621914100 636425429 649761000 663375040 664922090 691118400 693078400 696543792 712416525 725566450 742584000 759910960 777392625 796050048 797906508 829218800 863898000 866348000 870679740 911893152 928725056 949888700 987312000 995062560 997383135 1036523500 1039617600 1063875344 1088349675 1139866440 1151864000 1160906320 1187360875 1215857536 1243828200 1272850858 1299522000 1326750080 1329844180 1382236800 1393087584 1424833050 1451132900 1485168000 1519821920 1554785250 1595813016 1658437600 1662305225 1727796000 1732696000 1741359480 1813916125 1823786304 1857450112 1899777400 1909276287 1990125120 1994766270 2073047000 2079235200 2127750688 2176699350 2279732880 2303728000 2321812640 2374721750 2487656400 2545701716 2599044000 2659688360 2786175168 2849666100 2902265800 3039643840 3109570500 3182127145 3191626032 3316875200 3324610450 3455592000 3465392000 3482718960 3562082625 3627832250 3647572608 3799554800 3818552574 3980250240 3989532540 4146094000 4255501376 4353398700 4454978003 4559465760 4643625280 4749443500 4975312800 4986915675 5091403432 5198088000 5319376720 5441748375 5572350336 5699332200 5804531600 6079287680 6219141000 6364254290 6383252064 6633750400 6649220900 6911184000 6965437920 7124165250 7255664500 7599109600 7637105148 7979065080 8292188000 8311526125 8511002752 8706797400 8909956006 9118931520 9287250560 9498887000 9546381435 9950625600 9973831350 10182806864 10396176000 10638753440 10883496750 11398664400 11609063200 12438282000 12728508580 12766504128 13298441800 13364934009 13930875840 14248330500 14511329000 15198219200 15274210296 15910635725 15958130160 16584376000 16623052250 17413594800 17819912012 18237863040 18997774000 19092762870 19901251200 19947662700 20365613728 21277506880 21766993500 22274890015 22797328800 23218126400 24876564000 24934578375 25457017160 25533008256 26596883600 26729868018 27861751680 28496661000 29022658000 30396438400 30548420592 31821271450 31916260320 33168752000 33246104500 34827189600 35639824024 37995548000 38185525740 39895325400 40731227456 42555013760 43533987000 44549780030 45594657600 46436252800 47731907175 49753128000 49869156750 50914034320 53193767200 53459736036 56993322000 58045316000 61096841184 63642542900 63832520640 66492209000 66824670045 69654379200 71279648048 75991096000 76371051480 79553178625 79790650800 81462454912 87067974000 89099560060 91189315200 95463814350 99506256000 99738313500 101828068640 106387534400 106919472072 111374450075 113986644000 116090632000 122193682368 127285085800 127665041280 132984418000 133649340090 139308758400 142559296096 151982192000 152742102960 159106357250 159581301600 174135948000 178199120120 190927628700 199476627000 203656137280 212775068800 213838944144 222748900150 227973288000 232181264000 238659535875 244387364736 254570171600 265968836000 267298680180 285118592192 305484205920 318212714500 319162603200 334123350225 348271896000 356398240240 381855257400 398953254000 407312274560 427677888288 445497800300 455946576000 477319071750 509140343200 531937672000 534597360360 556872250375 570237184384 610968411840 636425429000 638325206400 668246700450 696543792000 712796480480 763710514800 797906508000 855355776576 890995600600 954638143500 1018280686400 1063875344000 1069194720720 1113744500750 1221936823680 1272850858000 1336493400900 1425592960960 1527421029600 1595813016000 1670616751125 1710711553152 1781991201200 1909276287000 2036561372800 2138389441440 2227489001500 2545701716000 2672986801800 2851185921920 3054842059200 3191626032000 3341233502250 3563982402400 3818552574000 4276778882880 4454978003000 5091403432000 5345973603600 6109684118400 6682467004500 7127964804800 7637105148000 8553557765760 8909956006000 10182806864000 10691947207200 13364934009000 14255929609600 15274210296000 17819912012000 21383894414400 26729868018000 30548420592000 35639824024000 42767788828800 53459736036000 71279648048000 106919472072000 213838944144000
- Sum of all divisors σ(n): 824940770734080
- Sum of proper divisors (its aliquot sum) s(n): 611101826590080
- 213838944144000 is an abundant number, because the sum of its proper divisors (611101826590080) is greater than itself. Its abundance is 397262882446080
Bases of 213838944144000
- Binary: 1100001001111100010000100100111000001010100000002
- Hexadecimal: 0xC27C424E0A80
- Base-36: 23SS966OAO
Squares and roots of 213838944144000
- 213838944144000 squared (2138389441440002) is 45727094032620751892736000000
- 213838944144000 cubed (2138389441440003) is 9778233506709024677926055783337984000000000
-
The
square root of 213838944144000 is 14623233.0263864703 -
The
cube root of 213838944144000 is 59799.2311829063
Scales and comparisons
How big is 213838944144000?- 213,838,944,144,000 seconds is equal to 6,799,416 years, 50 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 213,838,944,144,000 would take you about sixteen million, nine hundred ninety-eight thousand, five hundred forty-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 213838944144000 cubic inches would be around 4983.3 feet tall.
Recreational maths with 213838944144000
- 213838944144000 backwards is 000441449838312
- The number of decimal digits it has is: 15
- The sum of 213838944144000's digits is 51
- More coming soon!
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The information we have on file for 213838944144000 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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