242181985505958400
242,181,985,505,958,400 is an even composite number composed of five prime numbers multiplied together.
242181985505958400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 242181985505958400:
29 × 52 × 73 × 191 × 6613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 191 × 661 × 661 × 661)See below for interesting mathematical facts about the number 242181985505958400 from the Numbermatics database.
Names of 242181985505958400
- Cardinal: 242181985505958400 can be written as Two hundred forty-two quadrillion, one hundred eighty-one trillion, nine hundred eighty-five billion, five hundred five million, nine hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.421819855059584 × 1017
Factors of 242181985505958400
Divisors of 242181985505958400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 191 196 200 224 245 256 280 320 343 350 382 392 400 448 490 512 560 640 661 686 700 764 784 800 896 955 980 1120 1225 1280 1322 1337 1372 1400 1528 1568 1600 1715 1792 1910 1960 2240 2450 2560 2644 2674 2744 2800 3056 3136 3200 3305 3430 3584 3820 3920 4480 4627 4775 4900 5288 5348 5488 5600 6112 6272 6400 6610 6685 6860 7640 7840 8575 8960 9254 9359 9550 9800 10576 10696 10976 11200 12224 12544 12800 13220 13370 13720 15280 15680 16525 17150 17920 18508 18718 19100 19600 21152 21392 21952 22400 23135 24448 25088 26440 26740 27440 30560 31360 32389 33050 33425 34300 37016 37436 38200 39200 42304 42784 43904 44800 46270 46795 48896 52880 53480 54880 61120 62720 64778 65513 66100 66850 68600 74032 74872 76400 78400 84608 85568 87808 89600 92540 93590 97792 105760 106960 109760 115675 122240 125440 126251 129556 131026 132200 133700 137200 148064 149744 152800 156800 161945 169216 171136 175616 185080 187180 211520 213920 219520 226723 231350 233975 244480 252502 259112 262052 264400 267400 274400 296128 299488 305600 313600 323890 327565 338432 342272 370160 374360 423040 427840 436921 439040 453446 462700 467950 488960 505004 518224 524104 528800 534800 548800 592256 598976 611200 627200 631255 647780 655130 684544 740320 748720 809725 846080 855680 873842 878080 883757 906892 925400 935900 1010008 1036448 1048208 1057600 1069600 1097600 1133615 1184512 1197952 1222400 1262510 1295560 1310260 1480640 1497440 1619450 1637825 1692160 1711360 1747684 1767514 1813784 1850800 1871800 2020016 2072896 2096416 2115200 2139200 2184605 2195200 2267230 2369024 2395904 2444800 2525020 2591120 2620520 2961280 2994880 3058447 3156275 3238900 3275650 3422720 3495368 3535028 3627568 3701600 3743600 4040032 4145792 4192832 4230400 4278400 4369210 4390400 4418785 4534460 4791808 5050040 5182240 5241040 5668075 5922560 5989760 6116894 6186299 6312550 6477800 6551300 6990736 7070056 7255136 7403200 7487200 8080064 8291584 8385664 8460800 8556800 8738420 8837570 9068920 10100080 10364480 10482080 10923025 11336150 11845120 11979520 12233788 12372598 12625100 12955600 13102600 13981472 14140112 14510272 14806400 14974400 15292235 16160128 16583168 16771328 17113600 17476840 17675140 18137840 20200160 20728960 20964160 21409129 21846050 22093925 22672300 23959040 24467576 24745196 25250200 25911200 26205200 27962944 28280224 29020544 29612800 29948800 30584470 30931495 32320256 33542656 34953680 35350280 36275680 40400320 41457920 41928320 42818258 43304093 43692100 44187850 45344600 48935152 49490392 50500400 51822400 52410400 55925888 56560448 58041088 59225600 59897600 61168940 61862990 64640512 69907360 70700560 72551360 76461175 80800640 82915840 83451911 83856640 85636516 86608186 87384200 88375700 90689200 97870304 98980784 101000800 103644800 104820800 107045645 111851776 113120896 116082176 119795200 122337880 123725980 139814720 141401120 145102720 149863903 152922350 154657475 161601280 166903822 167713280 171273032 173216372 174768400 176751400 181378400 195740608 197961568 202001600 207289600 209641600 214091290 216520465 223703552 226241792 244675760 247451960 279629440 282802240 288804781 290205440 299727806 305844700 309314950 323202560 333807644 342546064 346432744 349536800 353502800 362756800 391481216 395923136 404003200 414579200 417259555 419283200 428182580 433040930 452483584 489351520 494903920 535228225 559258880 565604480 577609562 580410880 584163377 599455612 611689400 618629900 667615288 685092128 692865488 699073600 707005600 725513600 749319515 782962432 791846272 808006400 834519110 838566400 856365160 866081860 978703040 989807840 1070456450 1082602325 1118517760 1131208960 1155219124 1168326754 1198911224 1223378800 1237259800 1335230576 1370184256 1385730976 1398147200 1414011200 1444023905 1451027200 1498639030 1565924864 1583692544 1616012800 1669038220 1712730320 1732163720 1957406080 1979615680 2021633467 2086297775 2140912900 2165204650 2262417920 2310438248 2336653508 2397822448 2446757600 2474519600 2670461152 2740368512 2771461952 2796294400 2828022400 2888047810 2902054400 2920816885 2997278060 3167385088 3338076440 3425460640 3464327440 3746597575 3914812160 3959231360 4043266934 4089143639 4172595550 4281825800 4330409300 4620876496 4673307016 4795644896 4893515200 4949039200 5340922304 5480737024 5542923904 5592588800 5656044800 5776095620 5841633770 5994556120 6676152880 6850921280 6928654880 7220119525 7493195150 7829624320 7918462720 8086533868 8178287278 8345191100 8563651600 8660818600 9241752992 9346614032 9591289792 9787030400 9898078400 10108167335 10681844608 10961474048 11085847808 11312089600 11552191240 11683267540 11989112240 13352305760 13701842560 13857309760 14151434269 14440239050 14604084425 14986390300 15836925440 16173067736 16356574556 16690382200 17127303200 17321637200 18483505984 18693228064 19182579584 19574060800 19796156800 20216334670 20445718195 21363689216 22171695616 23104382480 23366535080 23978224480 26704611520 27403685120 27714619520 28302868538 28624005473 28880478100 29208168850 29972780600 32346135472 32713149112 33380764400 34254606400 34643274400 36967011968 37386456128 38365159168 39148121600 39592313600 40432669340 40891436390 42727378432 46208764960 46733070160 47956448960 50540836675 53409223040 54807370240 55161713171 55429239040 56605737076 57248010946 57760956200 58416337700 59945561200 64692270944 65426298224 66761528800 68509212800 69286548800 70757171345 73934023936 74772912256 76730318336 79184627200 80865338680 81782872780 92417529920 93466140320 95912897920 99060039883 101081673350 102228590975 106818446080 110323426342 110858478080 113211474152 114496021892 115521912400 116832675400 119891122400 129384541888 130852596448 133523057600 137018425600 138573097600 141514342690 143120027365 147868047872 149545824512 161730677360 163565745560 184835059840 186932280640 191825795840 198120079766 202163346700 204457181950 213636892160 220646852684 226422948304 228992043784 231043824800 233665350800 239782244800 258769083776 261705192896 267046115200 274036851200 275808565855 277146195200 283028685380 286240054730 299091649024 323461354720 327131491120 353785856725 369670119680 373864561280 383651591680 386131992197 396240159532 404326693400 408914363900 441293705368 452845896608 457984087568 462087649600 467330701600 479564489600 495300199415 517538167552 523410385792 534092230400 551617131710 554292390400 566057370760 572480109460 646922709440 654262982240 707571713450 715600136825 739340239360 747729122560 772263984394 792480319064 808653386800 817828727800 882587410736 905691793216 915968175136 924175299200 934661403200 959128979200 990600398830 1035076335104 1046820771584 1068184460800 1103234263420 1132114741520 1144960218920 1293845418880 1308525964480 1379042829275 1415143426900 1431200273650 1495458245120 1544527968788 1584960638128 1617306773600 1635657455600 1765174821472 1811383586432 1831936350272 1848350598400 1869322806400 1918257958400 1930659960985 1981200797660 2093641543168 2206468526840 2264229483040 2289920437840 2476500997075 2587690837760 2617051928960 2702923945379 2758085658550 2830286853800 2862400547300 3089055937576 3169921276256 3234613547200 3271314911200 3530349642944 3622767172864 3663872700544 3696701196800 3738645612800 3861319921970 3962401595320 4412937053680 4528458966080 4579840875680 4953001994150 5175381675520 5234103857920 5405847890758 5516171317100 5660573707600 5724801094600 6178111875152 6339842552512 6469227094400 6542629822400 7060699285888 7245534345728 7327745401088 7477291225600 7722639843940 7924803190640 8825874107360 9056917932160 9159681751360 9653299804925 9906003988300 10468207715840 10811695781516 11032342634200 11321147415200 11449602189200 12356223750304 12679685105024 12938454188800 13085259644800 13514619726895 14121398571776 14655490802176 15445279687880 15849606381280 17651748214720 18113835864320 18319363502720 18920467617653 19306599609850 19812007976600 21623391563032 22064685268400 22642294830400 22899204378400 24712447500608 25359370210048 25876908377600 26170519289600 27029239453790 28242797143552 30890559375760 31699212762560 35303496429440 36227671728640 36638727005440 37840935235306 38613199219700 39624015953200 43246783126064 44129370536800 45284589660800 45798408756800 49424895001216 50718740420096 52341038579200 54058478907580 61781118751520 63398425525120 67573098634475 70606992858880 73277454010880 75681870470612 77226398439400 79248031906400 86493566252128 88258741073600 90569179321600 91596817513600 94602338088265 98849790002432 108116957815160 123562237503040 126796851050240 135146197268950 141213985717760 151363740941224 154452796878800 158496063812800 172987132504256 176517482147200 181138358643200 183193635027200 189204676176530 197699580004864 216233915630320 247124475006080 253593702100480 270292394537900 302727481882448 308905593757600 316992127625600 345974265008512 353034964294400 366387270054400 378409352353060 432467831260640 473011690441325 494248950012160 540584789075800 605454963764896 617811187515200 633984255251200 691948530017024 706069928588800 756818704706120 864935662521280 946023380882650 988497900024320 1081169578151600 1210909927529792 1235622375030400 1267968510502400 1383897060034048 1513637409412240 1729871325042560 1892046761765300 2162339156303200 2421819855059584 2471244750060800 3027274818824480 3459742650085120 3784093523530600 4324678312606400 4843639710119168 4942489500121600 6054549637648960 6919485300170240 7568187047061200 8649356625212800 9687279420238336 12109099275297920 15136374094122400 17298713250425600 24218198550595840 30272748188244800 34597426500851200 48436397101191680 60545496376489600 121090992752979200 242181985505958400
- Sum of all divisors σ(n): 704466669276057600
- Sum of proper divisors (its aliquot sum) s(n): 462284683770099200
- 242181985505958400 is an abundant number, because the sum of its proper divisors (462284683770099200) is greater than itself. Its abundance is 220102698264140800
Bases of 242181985505958400
- Binary: 11010111000110011100111011100100010001010011011010000000002
- Hexadecimal: 0x35C673B9114DA00
- Base-36: 1U8MCK80OJR4
Squares and roots of 242181985505958400
- 242181985505958400 squared (2421819855059584002) is 58652114103608244534841902530560000
- 242181985505958400 cubed (2421819855059584003) is 14204485447733870132292475247684897218918088704000000
-
The
square root of 242181985505958400 is 492119889.3622959433 -
The
cube root of 242181985505958400 is 623324.1380267535
Scales and comparisons
How big is 242181985505958400?- 242,181,985,505,958,400 seconds is equal to 7,700,638,021 years, 1 week, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 242,181,985,505,958,400 would take you about twenty-three billion, one hundred one million, nine hundred fourteen thousand and sixty-three 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 242181985505958400 cubic inches would be around 51943.7 feet tall.
Recreational maths with 242181985505958400
- 242181985505958400 backwards is 004859505589181242
- The number of decimal digits it has is: 18
- The sum of 242181985505958400's digits is 76
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242181985505958400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 242181985505958400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/242181985505958400/
Chicago style:
Numbermatics. 2024. "Number 242181985505958400 - Facts about the integer". https://numbermatics.com/n/242181985505958400/
The information we have on file for 242181985505958400 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!
Keywords: Divisors of 242181985505958400, math, Factors of 242181985505958400, curriculum, school, college, exams, university, Prime factorization of 242181985505958400, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two quadrillion, one hundred eighty-one trillion, nine hundred eighty-five billion, five hundred five million, nine hundred fifty-eight thousand, four hundred.