242042642836800
242,042,642,836,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 242042642836800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
242042642836800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 242042642836800:
26 × 3 × 52 × 133 × 59 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 59 × 73 × 73 × 73)See below for interesting mathematical facts about the number 242042642836800 from the Numbermatics database.
Names of 242042642836800
- Cardinal: 242042642836800 can be written as Two hundred forty-two trillion, forty-two billion, six hundred forty-two million, eight hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 2.420426428368 × 1014
Factors of 242042642836800
Divisors of 242042642836800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 59 60 64 65 73 75 78 80 96 100 104 118 120 130 146 150 156 160 169 177 192 195 200 208 219 236 240 260 292 295 300 312 320 325 338 354 365 390 400 416 438 472 480 507 520 584 590 600 624 650 676 708 730 767 780 800 832 845 876 885 944 949 960 975 1014 1040 1095 1168 1180 1200 1248 1300 1352 1416 1460 1475 1534 1560 1600 1690 1752 1770 1825 1888 1898 1950 2028 2080 2190 2197 2301 2336 2360 2400 2496 2535 2600 2704 2832 2847 2920 2950 3068 3120 3380 3504 3540 3650 3776 3796 3835 3900 4056 4160 4225 4307 4380 4394 4425 4602 4672 4720 4745 4800 5070 5200 5329 5408 5475 5664 5694 5840 5900 6136 6240 6591 6760 7008 7080 7300 7592 7670 7800 8112 8450 8614 8760 8788 8850 9204 9440 9490 9971 10140 10400 10658 10816 10950 10985 11328 11388 11505 11680 11800 12272 12337 12480 12675 12921 13182 13520 14016 14160 14235 14600 15184 15340 15600 15987 16224 16900 17228 17520 17576 17700 18408 18880 18980 19175 19942 20280 20800 21316 21535 21900 21970 22776 23010 23360 23600 23725 24544 24674 25350 25842 26364 26645 27040 28320 28470 29200 29913 30368 30680 31200 31974 32448 32955 33800 34456 35040 35152 35400 36816 37011 37960 38350 39884 40560 42632 43070 43800 43940 45552 46020 47200 47450 49088 49348 49855 50700 51684 52728 53290 54080 54925 55991 56640 56940 57525 58400 59826 60736 61360 61685 62400 63948 64605 65910 67600 68912 69277 70080 70304 70800 71175 73632 74022 75920 76700 79768 79935 81120 85264 86140 87600 87880 91104 92040 94400 94900 98696 99710 101400 103368 105456 106580 107675 109850 111982 113880 115050 116800 119652 122720 123370 127896 129210 129623 131820 133225 135200 137824 138554 140608 141600 142350 147264 148044 149565 151840 153400 159536 159870 160381 162240 164775 167973 170528 172280 175200 175760 182208 184080 185055 189800 197392 199420 202800 206736 207831 210912 213160 215350 219700 223964 227760 230100 239304 245440 246740 249275 255792 258420 259246 263640 266450 270400 275648 277108 279955 283200 284700 296088 299130 303680 306800 308425 314411 319072 319740 320762 323025 329550 335946 341056 344560 346385 350400 351520 368160 370110 379600 388869 389017 394784 398840 399675 405600 413472 415662 421824 426320 430700 439400 447928 455520 460200 478608 481143 493480 498550 511584 516840 518492 527280 532900 554216 559910 569400 592176 598260 613600 616850 628822 638144 639480 641524 646050 648115 659100 671892 689120 692770 703040 727883 736320 740220 747825 759200 777738 778034 789568 797680 799350 801905 811200 826944 831324 839865 852640 861400 878800 895856 900601 911040 920400 925275 943233 957216 962286 986960 997100 1023168 1033680 1036984 1039155 1054560 1065800 1108432 1119820 1138800 1167051 1184352 1196520 1227200 1233700 1257644 1278960 1283048 1292100 1296230 1318200 1343784 1378240 1385540 1399775 1455766 1480440 1495650 1518400 1555476 1556068 1572055 1595360 1598700 1603810 1662648 1679730 1705280 1722800 1731925 1757600 1791712 1801202 1840800 1850550 1886466 1914432 1924572 1944345 1945085 1973920 1994200 2067360 2073968 2078310 2109120 2131600 2183649 2216864 2239640 2277600 2334102 2368704 2393040 2405715 2467400 2515288 2557920 2566096 2584200 2592460 2636400 2687568 2701803 2771080 2799550 2911532 2960880 2991300 3110952 3112136 3144110 3190720 3197400 3207620 3240575 3325296 3359460 3445600 3463850 3515200 3583424 3602404 3639415 3681600 3701100 3772932 3849144 3888690 3890170 3947840 3988400 4009525 4087343 4134720 4147936 4156620 4199325 4263200 4367298 4433728 4479280 4503005 4555200 4668204 4716165 4786080 4811430 4934800 5030576 5057221 5115840 5132192 5168400 5184920 5195775 5272800 5375136 5403606 5542160 5599100 5823064 5835255 5921760 5982600 6221904 6224272 6288220 6394800 6415240 6481150 6650592 6718920 6891200 6927700 7204808 7278830 7402200 7545864 7698288 7777380 7780340 7860275 7976800 8019050 8174686 8295872 8313240 8398650 8526400 8734596 8958560 9006010 9336408 9432330 9462479 9572160 9622860 9721725 9725425 9869600 10061152 10114442 10264384 10336800 10369840 10391550 10545600 10750272 10807212 10918245 11084320 11198200 11646128 11670510 11707813 11843520 11965200 12028575 12262029 12443808 12448544 12576440 12789600 12830480 12962300 13301184 13437840 13509015 13855400 14409616 14557660 14804400 15091728 15171663 15396576 15554760 15560680 15720550 15953600 16038100 16349372 16626480 16797300 17469192 17917120 18012020 18197075 18672816 18864660 18924958 19245720 19443450 19450850 19739200 20122304 20228884 20436715 20673600 20739680 20783100 21614424 21836490 22168640 22396400 22515025 22952003 23292256 23341020 23415626 23580825 23930400 24057150 24524058 24887616 24897088 25152880 25286105 25579200 25660960 25924600 26875680 27018030 27710800 28387437 28819232 29115320 29176275 29608800 30183456 30343326 30793152 31109520 31121360 31441100 32076200 32698744 33252960 33594600 34938384 35123439 36024040 36394150 37345632 37729320 37849916 38491440 38886900 38901700 40457768 40873430 41479360 41566200 43228848 43672980 44792800 45030050 45904006 46584512 46682040 46831252 47161650 47312395 47860800 48114300 49048116 50305760 50572210 51321920 51849200 53135459 53751360 54036060 54591225 55421600 56774874 57638464 58230640 58352550 58539065 59217600 60366912 60686652 61310145 62219040 62242720 62882200 64152400 65397488 65743873 66505920 67189200 67545075 68856009 69876768 70246878 72048080 72788300 74691264 75458640 75699832 75858315 76982880 77773800 77803400 80915536 81746860 83132400 86457696 87345960 89585600 90060100 91808012 93364080 93662504 94323300 94624790 96228600 98096232 100611520 101144420 102183575 103698400 106270918 108072120 109182450 110843200 113549748 114760015 116461280 116705100 117078130 121373304 122620290 124438080 124485440 125764400 126430525 128304800 130794976 131487746 134378400 135090150 137712018 139753536 140493756 141937185 144096160 145576600 150917280 151399664 151716630 153965760 155547600 155606800 159406377 161831072 163493720 166264800 172915392 174691920 175617195 180120200 183616024 186728160 187325008 188646600 189249580 192457200 196192464 197231619 202288840 204367150 207396800 212541836 216144240 218364900 227099496 229520030 232922560 233410200 234156260 236561975 242746608 245240580 251528800 252861050 256609600 261589952 262975492 265677295 268756800 270180300 275424036 280987512 283874370 288192320 291153200 292695325 298376039 301834560 302799328 303433260 306550725 311095200 311213600 318812754 323662144 326987440 328719365 332529600 344280045 349383840 351234390 360240400 367232048 373456320 374650016 377293200 378499160 379291575 384914400 392384928 394463238 404577680 408734300 425083672 432288480 436729800 454198992 459040060 466820400 468312520 473123950 485493216 490481160 503057600 505722100 525950984 531354590 540360600 550848072 561975024 567748740 573800075 582306400 585390650 596752078 605598656 606866520 613101450 622190400 622427200 637625508 653974880 657438730 688560090 690760967 698767680 702468780 709685925 720480800 734464096 749300032 754586400 756998320 758583150 769828800 784769856 788926476 797031885 809155360 817468600 850167344 854670349 864576960 873459600 878085975 895128117 908397984 918080120 933640800 936625040 946247900 970986432 980962320 986158095 1011444200 1051901968 1062709180 1080721200 1101696144 1123950048 1135497480 1147600150 1164612800 1170781300 1193504156 1213733040 1226202900 1275251016 1307949760 1314877460 1328386475 1377120180 1381521934 1404937560 1419371850 1440961600 1468928192 1491880195 1509172800 1513996640 1517166300 1577852952 1594063770 1618310720 1634937200 1643596825 1700334688 1709340698 1721400225 1746919200 1756171950 1790256234 1816795968 1836160240 1867281600 1873250080 1892495800 1961924640 1972316190 2022888400 2072282901 2103803936 2125418360 2161442400 2203392288 2247900096 2270994960 2295200300 2341562600 2387008312 2427466080 2452405800 2550502032 2564011047 2629754920 2656772950 2754240360 2763043868 2809875120 2838743700 2983760390 3027993280 3034332600 3155705904 3188127540 3269874400 3287193650 3400669376 3418681396 3442800450 3453804835 3493838400 3512343900 3580512468 3672320480 3746500160 3784991600 3878888507 3923849280 3944632380 3985159425 4045776800 4144565802 4207607872 4250836720 4273351745 4322884800 4406784576 4475640585 4541989920 4590400600 4683125200 4774016624 4854932160 4904811600 4930790475 5101004064 5128022094 5259509840 5313545900 5508480720 5526087736 5619750240 5677487400 5967520780 6068665200 6311411808 6376255080 6539748800 6574387300 6837362792 6885600900 6907609670 7024687800 7161024936 7344640960 7459400975 7569983200 7757777014 7889264760 7970318850 8091553600 8289131604 8501673440 8546703490 8951281170 9083979840 9180801200 9366250400 9548033248 9809623200 9861580950 10202008128 10256044188 10361414505 10519019680 10627091800 11016961440 11052175472 11239500480 11354974800 11636665521 11935041560 12137330400 12622823616 12752510160 12820055235 13148774600 13674725584 13771201800 13815219340 14049375600 14322049872 14918801950 15139966400 15515554028 15778529520 15940637700 16578263208 17003346880 17093406980 17269024175 17902562340 18361602400 18732500800 19096066496 19394442535 19619246400 19723161900 20512088376 20722829010 21038039360 21254183600 21366758725 22033922880 22104350944 22378202925 22709949600 23273331042 23870083120 24274660800 25505020320 25640110470 26297549200 27349451168 27542403600 27630438680 28098751200 28644099744 29837603900 31031108056 31557059040 31881275400 33156526416 34186813960 34538048350 35805124680 36723204800 38788885070 39446323800 41024176752 41445658020 42508367200 42733517450 44208701888 44756405850 45419899200 46546662084 47740166240 50425550591 51010040640 51280220940 51807072525 52595098400 54698902336 55084807200 55260877360 56197502400 57288199488 58183327605 59675207800 62062216112 63114118080 63762550800 64100276175 66313052832 68373627920 69076096700 71610249360 77577770140 78892647600 82048353504 82891316040 85016734400 85467034900 89512811700 93093324168 95480332480 96972212675 100851101182 102560441880 103614145050 105190196800 110169614400 110521754720 116366655210 119350415600 124124432224 127525101600 128200552350 132626105664 136747255840 138152193400 143220498720 151276651773 155155540280 157785295200 164096707008 165782632080 170934069800 179025623400 186186648336 193944425350 201702202364 205120883760 207228290100 221043509440 232733310420 238700831200 248248864448 252127752955 255050203200 256401104700 273494511680 276304386800 286440997440 290916638025 302553303546 310311080560 315570590400 331565264160 341868139600 358051246800 372373296672 387888850700 403404404728 410241767520 414456580200 465466620840 477401662400 504255505910 512802209400 552608773600 581833276050 605106607092 620622161120 663130528320 683736279200 716102493600 744746593344 756383258865 775777701400 806808809456 820483535040 828913160400 930933241680 1008511011820 1025604418800 1105217547200 1163666552100 1210213214184 1241244322240 1260638764775 1367472558400 1432204987200 1512766517730 1551555402800 1613617618912 1657826320800 1861866483360 2017022023640 2051208837600 2327333104200 2420426428368 2521277529550 3025533035460 3103110805600 3227235237824 3315652641600 3723732966720 3781916294325 4034044047280 4102417675200 4654666208400 4840852856736 5042555059100 6051066070920 6206221611200 7563832588650 8068088094560 9309332416800 9681705713472 10085110118200 12102132141840 15127665177300 16136176189120 18618664833600 20170220236400 24204264283680 30255330354600 40340440472800 48408528567360 60510660709200 80680880945600 121021321418400 242042642836800
- Sum of all divisors σ(n): 886977375648000
- Sum of proper divisors (its aliquot sum) s(n): 644934732811200
- 242042642836800 is an abundant number, because the sum of its proper divisors (644934732811200) is greater than itself. Its abundance is 402892089974400
Bases of 242042642836800
- Binary: 1101110000100010111100011011111100101101010000002
- Hexadecimal: 0xDC22F1BF2D40
- Base-36: 2DSOUS6T6O
Squares and roots of 242042642836800
- 242042642836800 squared (2420426428368002) is 58584640951422730351434240000
- 242042642836800 cubed (2420426428368003) is 14179981325527378861265272696942252032000000
-
The
square root of 242042642836800 is 15557719.7184163207 -
The
cube root of 242042642836800 is 62320.4569110917
Scales and comparisons
How big is 242042642836800?- 242,042,642,836,800 seconds is equal to 7,696,207 years, 18 weeks, 3 days, 6 hours, 40 minutes.
-
To count from 1 to 242,042,642,836,800 would take you about nineteen million, two hundred forty thousand, five hundred eighteen 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 242042642836800 cubic inches would be around 5193.4 feet tall.
Recreational maths with 242042642836800
- 242042642836800 backwards is 008638246240242
- The number of decimal digits it has is: 15
- The sum of 242042642836800's digits is 51
- More coming soon!
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Cite this page
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"Number 242042642836800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 242042642836800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/242042642836800/
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The information we have on file for 242042642836800 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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