42682104984416128
42,682,104,984,416,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42682104984416128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42682104984416128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42682104984416128:
27 × 7 × 11 × 312 × 73 × 211 × 292561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 31 × 31 × 73 × 211 × 292561)See below for interesting mathematical facts about the number 42682104984416128 from the Numbermatics database.
Names of 42682104984416128
- Cardinal: 42682104984416128 can be written as Forty-two quadrillion, six hundred eighty-two trillion, one hundred four billion, nine hundred eighty-four million, four hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2682104984416128 × 1016
Factors of 42682104984416128
Divisors of 42682104984416128
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 73 77 88 112 124 128 146 154 176 211 217 224 248 292 308 341 352 422 434 448 496 511 584 616 682 704 803 844 868 896 961 992 1022 1168 1232 1364 1408 1477 1606 1688 1736 1922 1984 2044 2263 2321 2336 2387 2464 2728 2954 3212 3376 3472 3844 3968 4088 4526 4642 4672 4774 4928 5456 5621 5908 6424 6541 6727 6752 6944 7688 8176 9052 9284 9344 9548 9856 10571 10912 11242 11816 12848 13082 13454 13504 13888 15376 15403 15841 16247 16352 18104 18568 19096 21142 21824 22484 23632 24893 25696 26164 26908 27008 27776 30752 30806 31682 32494 32704 36208 37136 38192 42284 43648 44968 45787 47264 49786 51392 52328 53816 61504 61612 63364 64988 65408 70153 71951 72416 73997 74272 76384 84568 89936 91574 94528 99572 102784 104656 107632 107821 123008 123224 126728 129976 140306 143902 144832 147994 148544 152768 169136 169433 174251 179872 183148 189056 199144 202771 209312 215264 215642 246448 253456 259952 280612 287804 289664 292561 295988 297088 305536 338272 338866 348502 359744 366296 398288 405542 418624 430528 431284 477493 491071 492896 503657 506912 519904 561224 575608 585122 591976 676544 677732 697004 719488 732592 771683 796576 811084 837248 861056 862568 954986 982142 985792 1007314 1013824 1039808 1122448 1151216 1170244 1183952 1186031 1353088 1355464 1394008 1419397 1465184 1543366 1593152 1622168 1725136 1909972 1964284 1971584 2014628 2027648 2047927 2079616 2230481 2244896 2302432 2340488 2367904 2372062 2710928 2788016 2838794 2930368 3086732 3186304 3218171 3244336 3342451 3450272 3819944 3928568 4029256 4095854 4460962 4489792 4604864 4680976 4735808 4744124 5252423 5401781 5421856 5576032 5677588 5860736 6173464 6436342 6488672 6684902 6900544 7639888 7857136 8058512 8191708 8921924 8979584 9069391 9209728 9361952 9471616 9488248 10504846 10803562 10843712 11152064 11355176 12346928 12872684 12977344 13369804 13801088 14802283 15279776 15613367 15714272 16117024 16383416 17843848 18138782 18723904 18976496 21009692 21356953 21607124 21687424 22304128 22527197 22710352 24693856 25745368 25954688 26739608 29604566 30559552 31226734 31428544 32234048 32766832 35687696 36277564 36766961 37447808 37952992 42019384 42713906 43214248 45054394 45420704 49387712 51490736 53479216 59209132 61119104 61730371 62453468 62857088 63485737 64468096 65533664 71375392 72555128 73533922 75905984 84038768 85427812 86428496 90108788 90841408 98775424 99763301 102981472 103615981 106958432 118418264 123460742 124906936 126971474 131067328 142750784 145110256 147067844 149498671 151811968 162825113 168077536 170855624 172856992 180217576 181682816 199526602 205962944 207231962 213916864 234926483 236836528 246921484 249813872 253942948 262134656 281151121 285501568 290220512 294135688 298997342 325650226 336155072 341711248 345713984 360435152 399053204 411925888 414463924 427833728 432112597 469852966 473673056 493842968 499627744 507885896 562302242 580441024 588271376 597994684 651300452 662065543 672310144 679034081 683422496 691427968 698343107 720870304 798106408 828927848 864225194 939705932 947346112 987685936 999255488 1015771792 1124604484 1139775791 1160882048 1176542752 1195989368 1302600904 1324131086 1358068162 1366844992 1396686214 1441740608 1596212816 1644485381 1657855696 1728450388 1879411864 1894692224 1913641501 1968057847 1975371872 1998510976 2031543584 2249208968 2279551582 2353085504 2391978736 2605201808 2648262172 2716136324 2733689984 2793372428 2883481216 3092662331 3192425632 3288970762 3315711392 3456900776 3758823728 3827283002 3936115694 3950743744 4063087168 4498417936 4506317083 4559103164 4634458801 4706171008 4753238567 4783957472 5210403616 5296524344 5432272648 5586744856 6185324662 6384851264 6577941524 6631422784 6913801552 7282720973 7517647456 7654566004 7872231388 7901487488 8126174336 8996835872 9012634166 9118206328 9268917602 9506477134 9567914944 10420807232 10593048688 10864545296 11173489712 12370649324 12769702528 13155883048 13262845568 13395490507 13827603104 14565441946 15035294912 15309132008 15744462776 17993671744 18025268332 18236412656 18537835204 19012954268 19135829888 20524031833 20841614464 21050056511 21186097376 21648636317 21729090592 22346979424 24741298648 26311766096 26790981014 27655206208 29130883892 30070589824 30618264016 31488925552 31544219581 35987343488 36050536664 36472825312 37075670408 38025908536 41048063666 42100113022 42372194752 43297272634 43458181184 44693958848 49482597296 49569487913 50979046811 52623532192 53581962028 55310412416 58261767784 59322886531 61236528032 62977851104 63088439162 72101073328 72945650624 74151340816 76051817072 82096127332 84200226044 84744389504 86594545268 86916362368 89387917696 98965194592 99138975826 101958093622 105247064384 107163924056 116523535568 118645773062 122473056064 125955702208 126176878324 139695829573 143668222831 144202146656 145891301248 147350395577 148302681632 152103634144 164192254664 168400452088 173189090536 197930389184 198277951652 203916187244 210494128768 214327848112 225764350163 233047071136 237291546124 244946112128 251911404416 252353756648 279391659146 287336445662 288404293312 294700791154 296605363264 304207268288 328384509328 336800904176 346378181072 346986415391 395860778368 396555903304 407832374488 415260205717 428655696224 451528700326 466094142272 474583092248 504707513296 558783318292 574672891324 576808586624 589401582308 593210726528 608414536576 652551751841 656769018656 673601808352 692756362144 693972830782 793111806608 815664748976 830520411434 857311392448 903057400652 932188284544 949166184496 977870807011 1009415026592 1117566636584 1149345782648 1178803164616 1305103503682 1313538037312 1347203616704 1385512724288 1387945661564 1536654125303 1580350451141 1586223613216 1631329497952 1661040822868 1714622784896 1806114801304 1898332368992 1955741614022 2018830053184 2235133273168 2298691565296 2357606329232 2610207007364 2627076074624 2694407233408 2771025448576 2775891323128 3073308250606 3160700902282 3172447226432 3262658995904 3322081645736 3612229602608 3796664737984 3911483228044 4037660106368 4330570716763 4470266546336 4567862262887 4597383130592 4715212658464 5220414014728 5551782646256 6146616501212 6321401804564 6344894452864 6525317991808 6644163291472 7224459205216 7593329475968 7822966456088 8661141433526 8940533092672 9135724525774 9194766261184 9430425316928 10440828029456 10756578877121 11103565292512 12293233002424 12642803609128 13288326582944 14448918410432 15645932912176 17322282867052 17881066185344 18271449051548 18389532522368 18860850633856 20881656058912 21513157754242 22207130585024 24586466004848 25285607218256 26576653165888 28897836820864 30313995017341 31291865824352 34644565734104 36542898103096 41763312117824 43026315508484 44414261170048 47636277884393 49172932009696 50571214436512 53153306331776 60627990034682 62583731648704 69289131468208 73085796206192 83526624235648 86052631016968 95272555768786 98345864019392 101142428873024 121255980069364 125167463297408 138578262936416 146171592412384 172105262033936 190545111537572 196691728038784 202284857746048 242511960138728 277156525872832 292343184824768 333453945190751 344210524067872 381090223075144 485023920277456 554313051745664 584686369649536 666907890381502 688421048135744 762180446150288 970047840554912 1333815780763004 1376842096271488 1524360892300576 1940095681109824 2667631561526008 3048721784601152 3880191362219648 5335263123052016 6097443569202304 10670526246104032 21341052492208064 42682104984416128
- Sum of all divisors σ(n): 111569672658147840
- Sum of proper divisors (its aliquot sum) s(n): 68887567673731712
- 42682104984416128 is an abundant number, because the sum of its proper divisors (68887567673731712) is greater than itself. Its abundance is 26205462689315584
Bases of 42682104984416128
- Binary: 100101111010001100100101111110011101110010101111100000002
- Hexadecimal: 0x97A325F9DCAF80
- Base-36: BO9JKC8FEKG
Squares and roots of 42682104984416128
- 42682104984416128 squared (426821049844161282) is 1821762085900720078221737066512384
- 42682104984416128 cubed (426821049844161283) is 77756640607043446793138568348436019626135521329152
-
The
square root of 42682104984416128 is 206596478.6350825681 -
The
cube root of 42682104984416128 is 349474.3264772565
Scales and comparisons
How big is 42682104984416128?- 42,682,104,984,416,128 seconds is equal to 1,357,158,914 years, 4 weeks, 3 days, 55 minutes, 28 seconds.
-
To count from 1 to 42,682,104,984,416,128 would take you about four billion, seventy-one million, four hundred seventy-six thousand, seven 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 42682104984416128 cubic inches would be around 29122.9 feet tall.
Recreational maths with 42682104984416128
- 42682104984416128 backwards is 82161448940128624
- The number of decimal digits it has is: 17
- The sum of 42682104984416128's digits is 70
- More coming soon!
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The information we have on file for 42682104984416128 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 42682104984416128, math, Factors of 42682104984416128, curriculum, school, college, exams, university, Prime factorization of 42682104984416128, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred eighty-two trillion, one hundred four billion, nine hundred eighty-four million, four hundred sixteen thousand, one hundred twenty-eight.