242072041802323950
242,072,041,802,323,950 is an even composite number composed of nine prime numbers multiplied together.
242072041802323950 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 242072041802323950:
2 × 33 × 52 × 7 × 31 × 61 × 181 × 571 × 131071
(2 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 61 × 181 × 571 × 131071)See below for interesting mathematical facts about the number 242072041802323950 from the Numbermatics database.
Names of 242072041802323950
- Cardinal: 242072041802323950 can be written as Two hundred forty-two quadrillion, seventy-two trillion, forty-one billion, eight hundred two million, three hundred twenty-three thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 2.4207204180232395 × 1017
Factors of 242072041802323950
Divisors of 242072041802323950
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 31 35 42 45 50 54 61 62 63 70 75 90 93 105 122 126 135 150 155 175 181 183 186 189 210 217 225 270 279 305 310 315 350 362 366 378 427 434 450 465 525 543 549 558 571 610 630 651 675 775 837 854 905 915 930 945 1050 1085 1086 1098 1142 1267 1281 1302 1350 1395 1525 1550 1575 1629 1647 1674 1713 1810 1830 1890 1891 1953 2135 2170 2325 2534 2562 2715 2745 2790 2855 3050 3150 3255 3258 3294 3426 3782 3801 3843 3906 3997 4185 4270 4525 4575 4650 4725 4887 5139 5425 5430 5490 5611 5673 5710 5859 6335 6405 6510 6975 7602 7686 7994 8145 8235 8370 8565 9050 9150 9450 9455 9765 9774 10278 10675 10850 11041 11222 11346 11403 11529 11718 11991 12670 12810 13237 13575 13725 13950 14275 15417 16275 16290 16470 16833 17019 17130 17701 18910 19005 19215 19530 19985 20925 21350 22082 22806 23058 23982 24435 25695 26474 27150 27450 28055 28365 28550 29295 30834 31675 32025 32550 33123 33666 34038 34209 34831 35402 35973 38010 38430 39277 39711 39970 40725 41175 41850 42825 47275 48825 48870 50499 51057 51390 53103 55205 56110 56730 57015 57645 58590 59955 63350 64050 66185 66246 68418 69662 71946 77085 77287 78554 79422 81450 82350 84165 85095 85650 88505 94550 95025 96075 97650 99369 99925 100998 102114 103351 104493 106206 107919 110410 114030 115290 117831 119133 119910 122175 123907 128475 131071 132370 140275 141825 146475 151497 154170 154574 159309 165615 168330 170190 171045 174155 177010 179865 190050 192150 196385 198555 198738 199850 206702 208986 215838 231861 235662 238266 243817 244350 247814 252495 255285 256950 262142 265515 276025 280550 283650 285075 288225 292950 298107 299775 302994 310053 313479 318618 330925 331230 342090 342271 348310 353493 357399 359730 371721 385425 386435 392770 393213 397110 420825 425475 442525 463722 477927 487634 496845 504990 510570 516755 522465 531030 539595 552050 570150 576450 589155 595665 596214 599550 619535 620106 626958 655355 661850 684542 695583 706986 714798 723457 731451 743442 757485 770850 772870 786426 796545 828075 841650 850950 855225 870775 885050 899325 917497 930159 940437 955854 981925 992775 993690 1026813 1033510 1044930 1060479 1079190 1079761 1115163 1159305 1178310 1179639 1191330 1219085 1239070 1262475 1276425 1310710 1327575 1391166 1446914 1462902 1490535 1514970 1550265 1567395 1593090 1656150 1710450 1711355 1741550 1767465 1786995 1798650 1834994 1858605 1860318 1880874 1932175 1963850 1966065 1985550 2053626 2086749 2120958 2159522 2170371 2194353 2230326 2318610 2359278 2389635 2395897 2438170 2484225 2524950 2552850 2583775 2612325 2655150 2697975 2752491 2790477 2945775 2978325 2981070 3080439 3097675 3100530 3134790 3203881 3239283 3276775 3345489 3422710 3477915 3534930 3538917 3573990 3617285 3657255 3717210 3787425 3864350 3932130 3982725 4063201 4173498 4340742 4388706 4587485 4650795 4702185 4779270 4791794 4968450 5134065 5167550 5224650 5302395 5395950 5398805 5504982 5575815 5580954 5796525 5891550 5898195 5956650 6095425 6160878 6195350 6304411 6407762 6478566 6511113 6553550 6583059 6690978 6955830 7077834 7187691 7234570 7314510 7452675 7558327 7574850 7751325 7836975 7965450 7995331 8126402 8257473 8556775 8837325 8934975 9174970 9241317 9293025 9301590 9404370 9611643 9717849 9830325 10268130 10433745 10604790 10797610 10851855 10971765 11151630 11593050 11796390 11948175 11979485 12189603 12190850 12608822 13022226 13166118 13762455 13952385 14375382 14905350 15116654 15402195 15502650 15673950 15990662 16019405 16196415 16514946 16727445 17113550 17389575 17674650 17694585 17869950 18086425 18286275 18482634 18586050 18913233 19223286 19435698 19533339 19660650 20316005 20867490 21563073 21703710 21943530 22427167 22674981 22937425 23253975 23510925 23723851 23896350 23958970 23985993 24379206 24772419 25670325 26511975 26994025 27524910 27879075 27904770 28442407 28834929 29153547 29490975 30804390 31522055 32038810 32392830 32555565 32915295 33454890 34779150 35389170 35938455 36172850 36568809 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13384184094 13546318921 13680571870 13696002003 13920526626 14145051249 14471549110 14657755575 14946026130 15111175590 15138337725 15444227001 15614881443 15716723610 16013599425 16240614397 16839346725 17349868270 17589306690 18385984525 18589144575 19198624725 19856863287 19858894650 20207216070 20260168754 20520857805 20880789939 21707323665 22063181430 22306973490 22419039195 22826670005 23200877710 23575085415 24625029366 24910043550 25185292650 25740378335 26024802405 26048788398 26194539350 26383960035 27092637842 27392004006 28290102498 29315511150 29788341975 30276675450 30390253131 30888454002 31229762886 31957338007 32027198850 32481228794 33094772145 33460460235 33678693450 34201429675 34801316565 36178872775 36771969050 36937544049 37178289150 37365065325 37777938975 38397249450 39073182597 39291809025 39713726574 40638956763 41041715610 41088006009 41761579878 43374670675 43414647330 43973266725 44838078390 44861802241 45653340010 46332681003 46844644329 47150170830 48721843191 50518040175 50650421885 51480756670 52049604810 52767920070 55157953575 55767433725 58002194275 59576683950 60780506262 61562573415 62642369817 63914676014 65121970995 66189544290 66920920470 67731594605 68402859350 68480010015 69602633130 70725256245 72357745550 73875088098 74730130650 75555877950 77221135005 78074407215 78146365194 78583618050 81203071985 81277913526 82176012018 86749341350 87946533450 89723604482 91170759393 92665362006 93689288658 94824232447 95872014021 97443686382 99284316435 101036080350 101300843770 102604289025 104403949695 108536618325 110315907150 111534867450 112095195975 114133350025 116004388550 117875427075 121916870289 123125146830 123264018027 125284739634 128701891675 130124012025 130243941990 131919800175 134585406723 135463189210 136960020030 138998043009 141450512490 141525354031 146165529573 151951265655 154442270010 156148814430 159786690035 162406143970 165473860725 167302301175 174006582825 182341518786 184687720245 189648464894 191744028042 195365912985 198568632870 203194783815 205208578050 205440030045 208807899390 217073236650 224190391950 224309011205 228266700050 231663405015 234223221645 235750854150 243609215955 243833740578 246528036054 253252109425 257403783350 260248024050 263839600350 269170813446 273512278179 277996086018 283050708062 284472697341 287616042063 292331059146 303902531310 307812867075 313211849085 314032615687 319573380070 325609854975 330947721450 334604602350 338657973025 342400050075 348013165650 353626281225 365750610867 369375440490 386105675025 390372036075 390731825970 403756220169 406015359925 406389567630 410880060090 419935886551 424576062093 438496588719 448618022410 455853796965 463326810030 468446443290 474121162235 479360070105 487218431910 496421582175 506504218850 522019748475 547024556358 568945394682 575232084126 609584351445 615625734150 616320090135 626423698170 628065231374 651219709950 672927033615 677315946050 684800100150 694990215045 707252562450 707626770155 730827647865 731501221734 759756328275 772211350050 780744072150 798933450175 807512440338 812030719850 826325454181 839871773102 849152124186 853418092023 862848126189 876993177438 911707593930 923438601225 942097847061 948242324470 958720140210 976829564925 990677478217 992843164350 1015973919075 1027200150225 1044039496950 1121545056025 1158317025075 1171116108225 1211268660507 1218046079775 1219168702890 1232640180270 1259807659653 1273728186279 1345854067230 1367561390895 1389980430090 1415253540310 1422363486705 1438080210315 1461655295730 1519512656550 1566059245425 1570163078435 1597866900350 1652650908362 1706836184046 1725696252378 1828753054335 1846877202450 1884195694122 1953659129850 1981354956434 2018781100845 2031947838150 2054400300450 2099679432755 2122880310465 2192482943595 2243090112050 2279268984825 2316634050150 2342232216450 2370605811175 2396800350525 2422537321014 2436092159550 2478976362543 2519615319306 2547456372558 2560254276069 2735122781790 2826293541183 2844726973410 2876160420630 2939551205857 2972032434651 3047921757225 3081600450675 3132118490850 3140326156870 3364635168075 3474951075225 3538133850775 3654138239325 3657506108670 3779422978959 3821184558837 4037562201690 4131627270905 4199358865510 4245760620930 4267090460115 4314240630945 4384965887190 4558537969650 4710489235305 4741211622350 4793600701050 4953387391085 4957952725086 5120508552138 5652587082366 5784278179267 5879102411714 5944064869302 6056343302535 6095843514450 6163200901350 6299038298265 6368640931395 6729270336150 6837806954475 6949902150450 7076267701550 7111817433525 7190401051575 7308276478650 7436929087629 7558845957918 7642369117674 7850815392175 8263254541810 8478880623549 8534180920230 8628481261890 8818653617571 8916097303953 9143765271675 9420978470610 9906774782170 10093905504225 10498397163775 10614401552325 10962414717975 11338268936877 11568556358534 12112686605070 12394881812715 12598076596530 12737281862790 12801271380345 13675613908950 14131467705915 14223634867050 14380802103150 14697756029285 14860162173255 14873858175258 15701630784350 16957761247098 17352834537801 17637307235142 17832194607906 18287530543350 18897114894795 19105922794185 20187811008450 20658136354525 20996794327550 21228803104650 21335452300575 21571203154725 21924829435950 22310787262887 22676537873754 23552446176525 24766936955425 24789763625430 25602542760690 25616089079611 26455960852713 26748291911859 28262935411830 28921390896335 29395512058570 29720324346510 30281716512675 31495191491325 31843204656975 34705669075602 37184645438145 37794229789590 38211845588370 41316272709050 42394403117745 42670904601150 43142406309450 44093268087855 44580486519765 44621574525774 47104892353050 49533873910850 51232178159222 52058503613403 52911921705426 53496583823718 56691344684385 57842781792670 60563433025350 61974409063575 62990382982650 63686409313950 64006356901725 70657338529575 73488780146425 74300810866275 74369290876290 76848267238833 79367882558139 84788806235490 86764172689005 88186536175710 89160973039530 94485574473975 95529613970925 104117007226806 111553936314435 113382689368770 123948818127150 128012713803450 128080445398055 132279804263565 133741459559295 141314677059150 144606954481675 146977560292850 148601621732550 153696534477666 156175510840209 158735765116278 173528345378010 179312623557277 185923227190725 188971148947950 191059227941850 211972015588725 220466340439275 222902432598825 223107872628870 230544801716499 256160890796110 260292518067015 264559608527130 267482919118590 283456723421925 289213908963350 312351021680418 358625247114554 371846454381450 384241336194165 396839412790695 423944031177450 433820863445025 440932680878550 445804865197650 461089603432998 520585036134030 537937870671831 557769681572175 566913446843850 640402226990275 661399021317825 668707297796475 691634405149497 768482672388330 780877554201045 793678825581390 867641726890050 896563117786385 1075875741343662 1115539363144350 1152724008582495 1280804453980550 1301462590335075 1322798042635650 1337414595592950 1383268810298994 1561755108402090 1613813612015493 1793126235572770 1921206680970825 1984197063953475 2305448017164990 2602925180670150 2689689353359155 3227627224030986 3458172025747485 3842413361941650 3904387771005225 3968394127906950 4482815588931925 4841440836046479 5379378706718310 5763620042912475 6916344051494970 7808775542010450 8069068060077465 8965631177863850 9682881672092958 11527240085824950 13448446766795775 16138136120154930 17290860128737425 24207204180232395 26896893533591550 34581720257474850 40345340300387325 48414408360464790 80690680600774650 121036020901161975 242072041802323950
- Sum of all divisors σ(n): 805660251830353920
- Sum of proper divisors (its aliquot sum) s(n): 563588210028029970
- 242072041802323950 is an abundant number, because the sum of its proper divisors (563588210028029970) is greater than itself. Its abundance is 321516168225706020
Bases of 242072041802323950
- Binary: 11010111000000001100111101010011011010111001010111111011102
- Hexadecimal: 0x35C033D4DAE57EE
- Base-36: 1U7JDKS677JI
Squares and roots of 242072041802323950
- 242072041802323950 squared (2420720418023239502) is 58598873422346073883087620743602500
- 242072041802323950 cubed (2420720418023239503) is 14185148936663248702982536000108492938811595029875000
-
The
square root of 242072041802323950 is 492008172.4954616543 -
The
cube root of 242072041802323950 is 623229.7999651249
Scales and comparisons
How big is 242072041802323950?- 242,072,041,802,323,950 seconds is equal to 7,697,142,151 years, 16 weeks, 6 days, 10 hours, 52 minutes, 30 seconds.
-
To count from 1 to 242,072,041,802,323,950 would take you about twenty-three billion, ninety-one million, four hundred twenty-six thousand, four hundred fifty-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 242072041802323950 cubic inches would be around 51935.8 feet tall.
Recreational maths with 242072041802323950
- 242072041802323950 backwards is 059323208140270242
- 242072041802323950 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 242072041802323950's digits is 54
- More coming soon!
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"Number 242072041802323950 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 242072041802323950 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/242072041802323950/
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The information we have on file for 242072041802323950 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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