242081102304000
242,081,102,304,000 is an even composite number composed of six prime numbers multiplied together.
242081102304000 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 242081102304000:
28 × 35 × 53 × 53 × 233 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 53 × 233 × 2521)See below for interesting mathematical facts about the number 242081102304000 from the Numbermatics database.
Names of 242081102304000
- Cardinal: 242081102304000 can be written as Two hundred forty-two trillion, eighty-one billion, one hundred two million, three hundred four thousand.
Scientific notation
- Scientific notation: 2.42081102304 × 1014
Factors of 242081102304000
Divisors of 242081102304000
- 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 53 54 60 64 72 75 80 81 90 96 100 106 108 120 125 128 135 144 150 159 160 162 180 192 200 212 216 225 233 240 243 250 256 265 270 288 300 318 320 324 360 375 384 400 405 424 432 450 466 477 480 486 500 530 540 576 600 636 640 648 675 699 720 750 768 795 800 810 848 864 900 932 954 960 972 1000 1060 1080 1125 1152 1165 1200 1215 1272 1280 1296 1325 1350 1398 1431 1440 1500 1590 1600 1620 1696 1728 1800 1864 1908 1920 1944 2000 2025 2097 2120 2160 2250 2304 2330 2385 2400 2430 2521 2544 2592 2650 2700 2796 2862 2880 3000 3180 3200 3240 3375 3392 3456 3495 3600 3728 3816 3840 3888 3975 4000 4050 4194 4240 4293 4320 4500 4660 4770 4800 4860 5042 5088 5184 5300 5400 5592 5724 5760 5825 6000 6075 6291 6360 6400 6480 6625 6750 6784 6912 6990 7155 7200 7456 7563 7632 7776 7950 8000 8100 8388 8480 8586 8640 9000 9320 9540 9600 9720 10084 10125 10176 10368 10485 10600 10800 11184 11448 11520 11650 11925 12000 12150 12349 12582 12605 12720 12879 12960 13250 13500 13568 13980 14310 14400 14912 15126 15264 15552 15900 16000 16200 16776 16960 17172 17280 17475 18000 18640 18873 19080 19200 19440 19875 20168 20250 20352 20736 20970 21200 21465 21600 22368 22689 22896 23300 23850 24000 24300 24698 25164 25210 25440 25758 25920 26500 27000 27960 28620 28800 29125 29824 30252 30375 30528 31104 31455 31800 32000 32400 33552 33920 34344 34560 34950 35775 36000 37047 37280 37746 37815 38160 38880 39750 40336 40500 40704 41940 42400 42930 43200 44736 45378 45792 46600 47700 48000 48600 49396 50328 50420 50880 51516 51840 52425 53000 54000 55920 56619 57240 57600 58250 59625 59648 60504 60750 61056 61745 62208 62910 63025 63600 64395 64800 67104 67840 68067 68688 69900 71550 72000 74094 74560 75492 75630 76320 77760 79500 80672 81000 83880 84800 85860 86400 87375 89472 90756 91584 93200 94365 95400 96000 97200 98792 100656 100840 101760 103032 103680 104850 106000 107325 108000 111141 111840 113238 113445 114480 116500 119250 121008 121500 122112 123490 125820 126050 127200 128790 129600 133613 134208 136134 137376 139800 143100 144000 148188 149120 150984 151260 152640 155520 157275 159000 161344 162000 167760 169600 171720 172800 174750 178875 178944 181512 183168 185235 186400 188730 189075 190800 194400 197584 201312 201680 203520 204201 206064 209700 212000 214650 216000 222282 223680 226476 226890 228960 233000 238500 242016 243000 246980 251640 252100 254400 257580 259200 262125 267226 268416 272268 274752 279600 283095 286200 288000 296376 298240 301968 302520 305280 308725 311040 314550 315125 318000 321975 322688 324000 333423 335520 339200 340335 343440 349500 357750 363024 366336 370470 372800 377460 378150 381600 388800 395168 400839 402624 403360 408402 412128 419400 424000 429300 432000 444564 447360 452952 453780 457920 466000 471825 477000 484032 486000 493960 503280 504200 508800 515160 518400 524250 534452 536625 536832 544536 549504 555705 559200 566190 567225 572400 587393 592752 603936 605040 610560 612603 617450 629100 630250 636000 643950 645376 648000 666846 668065 671040 680670 686880 699000 715500 726048 740940 745600 754920 756300 763200 777600 786375 790336 801678 805248 806720 816804 824256 838800 848000 858600 864000 889128 894720 905904 907560 915840 926175 932000 943650 945375 954000 968064 972000 987920 1000269 1006560 1008400 1017600 1021005 1030320 1048500 1068904 1073250 1089072 1099008 1111410 1118400 1132380 1134450 1144800 1174786 1185504 1202517 1207872 1210080 1225206 1234900 1258200 1260500 1272000 1287900 1296000 1333692 1336130 1342080 1361340 1373760 1398000 1415475 1431000 1452096 1481880 1491200 1509840 1512600 1526400 1543625 1555200 1572750 1580672 1603356 1609875 1610496 1613440 1633608 1648512 1667115 1677600 1696000 1701675 1717200 1762179 1778256 1811808 1815120 1831680 1852350 1864000 1887300 1890750 1908000 1936128 1944000 1975840 2000538 2004195 2013120 2016800 2042010 2060640 2097000 2137808 2146500 2178144 2222820 2236800 2264760 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65344320 66684600 66806500 67104000 68067000 68688000 70487160 71130240 72151020 72472320 72604800 73424125 74094000 75020175 75186304 75492000 76575375 76961088 78413184 79033600 79298055 80021520 80167800 80672000 81680400 82425600 83355750 84584592 85356288 85512320 86581224 87125760 88108950 88912800 90188775 90590400 90756000 93395487 93982880 95157666 96025824 96201360 98016480 98792000 100026900 100209750 100656000 102100500 102614784 103032000 105730740 106695360 106890400 108226530 108907200 111141000 112779456 113238000 115441632 117478600 118550400 120032280 120251700 120787200 121008000 122520600 124527316 125033625 126876888 128034432 128268480 129871836 130688640 132163425 133369200 133613000 136134000 137376000 140974320 142260480 142736499 144302040 145209600 146848250 148188000 150040350 150314625 150372608 150984000 153150750 153922176 155659145 156826368 158596110 160043040 160335600 162339795 163360800 166711500 169169184 171024640 173162448 176217900 177825600 180377550 181180800 181512000 186790974 187965760 190315332 192051648 192402720 196032960 197584000 200053800 200419500 201312000 204201000 206064000 211461480 213390720 213780800 216453060 217814400 220272375 222282000 225558912 226476000 230883264 234957200 237100800 237894165 240064560 240503400 242016000 245041200 249054632 250067250 253753776 256068864 256536960 259743672 261377280 264326850 266738400 267226000 270566325 272268000 280186461 281948640 285472998 288604080 293696500 296376000 300080700 300629250 301968000 306301500 307844352 311318290 317192220 320086080 320671200 324679590 326721600 333423000 338338368 346324896 352435800 355651200 360755100 362361600 363024000 373581948 375100875 375931520 380630664 384103296 384805440 392065920 395168000 396490275 400107600 400839000 408402000 412128000 422922960 426781440 427561600 432906120 435628800 440544750 444564000 450943875 451117824 452952000 461766528 466977435 469914400 475788330 480129120 481006800 490082400 498109264 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4617665280 4669774350 4699144000 4757883300 4801291200 4810068000 4900824000 4981092640 5043356298 5075075520 5194873440 5286537000 5334768000 5411326500 5603729220 5638972800 5709459960 5772081600 5947354125 5977311168 6001614000 6090090624 6226365800 6343844400 6401721600 6413424000 6493591800 6534432000 6724475064 6766767360 6926497920 7004661525 7048716000 7136824950 7215102000 7471638960 7565034447 7612613280 7696108800 7782957250 7929805500 7969748224 8002152000 8116989750 8311797504 8405593830 8458459200 8658122400 8965966752 9135135936 9339548700 9398288000 9515766600 9602582400 9620136000 9801648000 9962185280 10086712596 10150151040 10389746880 10573074000 10669536000 10822653000 11207458440 11277945600 11418919920 11544163200 11674435875 11894708250 11954622336 12003228000 12180181248 12452731600 12608390745 12687688800 12826848000 12987183600 13448950128 13852995840 14009323050 14097432000 14273649900 14430204000 14943277920 15130068894 15225226560 15565914500 15859611000 16004304000 16233979500 16811187660 16916918400 17316244800 17842062375 17931933504 18270271872 18679097400 18796576000 19031533200 19205164800 19240272000 19603296000 19924370560 20173425192 20300302080 20779493760 21013984575 21146148000 21645306000 22414916880 22837839840 23088326400 23348871750 23789416500 23909244672 24006456000 24905463200 25216781490 25375377600 25974367200 26897900256 28018646100 28194864000 28547299800 28860408000 29886555840 30260137788 30450453120 31131829000 31719222000 32008608000 32467959000 33622375320 33833836800 34632489600 35023307625 35684124750 35863867008 36540543744 37358194800 37825172235 38063066400 38480544000 39848741120 40346850384 41558987520 42027969150 42292296000 43290612000 44829833760 45675679680 46697743500 47578833000 48012912000 49810926400 50433562980 50750755200 51948734400 53795800512 56037292200 56389728000 57094599600 57720816000 59773111680 60520275576 60900906240 62263658000 63041953725 63438444000 64935918000 67244750640 69264979200 70046615250 71368249500 71727734016 74716389600 75650344470 76126132800 80693700768 84055938300 84584592000 86581224000 89659667520 91351359360 93395487000 95157666000 96025824000 99621852800 100867125960 101501510400 103897468800 105069922875 107591601024 112074584400 114189199200 115441632000 119546223360 121040551152 124527316000 126083907450 126876888000 129871836000 134489501280 140093230500 142736499000 149432779200 151300688940 152252265600 161387401536 168111876600 169169184000 173162448000 179319335040 182702718720 186790974000 189125861175 190315332000 199243705600 201734251920 207794937600 210139845750 215183202048 224149168800 228378398400 242081102304 249054632000 252167814900 253753776000 259743672000 268979002560 280186461000 285472998000 298865558400 302601377880 304504531200 315209768625 322774803072 336223753200 346324896000 358638670080 373581948000 378251722350 380630664000 403468503840 420279691500 448298337600 456756796800 484162204608 498109264000 504335629800 507507552000 519487344000 537958005120 560372922000 570945996000 597731116800 605202755760 630419537250 645549606144 672447506400 747163896000 756503444700 761261328000 806937007680 840559383000 896596675200 913513593600 945629305875 968324409216 996218528000 1008671259600 1038974688000 1075916010240 1120745844000 1141891992000 1210405511520 1260839074500 1344895012800 1494327792000 1513006889400 1522522656000 1613874015360 1681118766000 1793193350400 1891258611750 1936648818432 2017342519200 2241491688000 2283783984000 2420811023040 2521678149000 2689790025600 2988655584000 3026013778800 3227748030720 3362237532000 3782517223500 4034685038400 4482983376000 4567567968000 4841622046080 5043356298000 5379580051200 6052027557600 6724475064000 7565034447000 8069370076800 8965966752000 9683244092160 10086712596000 12104055115200 13448950128000 15130068894000 16138740153600 20173425192000 24208110230400 26897900256000 30260137788000 40346850384000 48416220460800 60520275576000 80693700768000 121040551152000 242081102304000
- Sum of all divisors σ(n): 924701541499008
- Sum of proper divisors (its aliquot sum) s(n): 682620439195008
- 242081102304000 is an abundant number, because the sum of its proper divisors (682620439195008) is greater than itself. Its abundance is 440539336891008
Bases of 242081102304000
- Binary: 1101110000101011111001100001110000010011000000002
- Hexadecimal: 0xDC2BE61C1300
- Base-36: 2DT6ITYO00
Squares and roots of 242081102304000
- 242081102304000 squared (2420811023040002) is 58603260092719714108416000000
- 242081102304000 cubed (2420811023040003) is 14186741801853601636677085843390464000000000
-
The
square root of 242081102304000 is 15558955.6945188323 -
The
cube root of 242081102304000 is 62323.7575479879
Scales and comparisons
How big is 242081102304000?- 242,081,102,304,000 seconds is equal to 7,697,430 years, 12 weeks, 6 days.
-
To count from 1 to 242,081,102,304,000 would take you about nineteen million, two hundred forty-three thousand, five hundred seventy-five 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 242081102304000 cubic inches would be around 5193.6 feet tall.
Recreational maths with 242081102304000
- 242081102304000 backwards is 000403201180242
- 242081102304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242081102304000's digits is 27
- More coming soon!
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The information we have on file for 242081102304000 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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