137428668426732066496
137,428,668,426,732,066,496 is an even composite number composed of five prime numbers multiplied together.
137428668426732066496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137428668426732066496:
26 × 73 × 413 × 1092 × 1973
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 41 × 41 × 41 × 109 × 109 × 197 × 197 × 197)See below for interesting mathematical facts about the number 137428668426732066496 from the Numbermatics database.
Names of 137428668426732066496
- Cardinal: 137428668426732066496 can be written as One hundred thirty-seven quintillion, four hundred twenty-eight quadrillion, six hundred sixty-eight trillion, four hundred twenty-six billion, seven hundred thirty-two million, sixty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.37428668426732066496 × 1020
Factors of 137428668426732066496
Divisors of 137428668426732066496
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 109 112 164 196 197 218 224 287 328 343 392 394 436 448 574 656 686 763 784 788 872 1148 1312 1372 1379 1526 1568 1576 1681 1744 2009 2296 2624 2744 2758 3052 3136 3152 3362 3488 4018 4469 4592 5341 5488 5516 6104 6304 6724 6976 8036 8077 8938 9184 9653 10682 10976 11032 11767 11881 12208 12608 13448 14063 16072 16154 17876 18368 19306 21364 21473 21952 22064 23534 23762 24416 26896 28126 31283 32144 32308 35752 37387 38612 38809 42728 42946 44128 47068 47524 48832 53792 56252 56539 62566 64288 64616 67571 68921 71504 74774 77224 77618 82369 83167 85456 85892 88256 94136 95048 107584 112504 113078 125132 128576 129232 135142 137842 143008 149548 150311 154448 155236 164738 166334 170912 171784 183229 188272 190096 218981 225008 226156 250264 258464 270284 271663 275684 286016 299096 300622 308896 310472 329476 331157 332668 341824 343568 366458 376544 380192 395773 437962 450016 452312 482447 487121 500528 516928 540568 543326 551368 576583 582169 598192 601244 617792 620944 658952 662314 665336 687136 732916 753088 760384 791546 875924 880393 900032 904624 964894 974242 1001056 1052177 1081136 1086652 1102736 1153166 1164338 1196384 1202488 1241888 1282603 1317904 1324628 1330672 1374272 1465832 1532867 1583092 1591169 1751848 1760786 1809248 1901641 1929788 1948484 2002112 2104354 2162272 2173304 2205472 2306332 2318099 2328676 2340557 2392768 2404976 2483776 2565206 2635808 2649256 2661344 2770411 2931664 3065734 3166184 3182338 3377129 3409847 3503696 3521572 3618496 3803282 3859576 3896968 4075183 4208708 4230181 4324544 4346608 4410944 4612664 4636198 4657352 4681114 4809952 5130412 5271616 5298512 5322688 5540822 5863328 6131468 6162751 6332368 6364676 6754258 6819694 7007392 7043144 7365239 7512389 7606564 7645373 7719152 7793936 8150366 8417416 8460362 8693216 8978221 9225328 9272396 9314704 9362228 9619904 10260824 10597024 11081644 11138183 11726656 12262936 12325502 12664736 12729352 13311487 13508516 13577437 13639388 14014784 14086288 14730478 15024778 15213128 15290746 15438304 15587872 16226693 16300732 16383899 16834832 16920724 17386432 17956442 18450656 18544792 18629408 18724456 19971961 20521648 21194048 22163288 22276366 23639903 23868929 24525872 24651004 25329472 25458704 26622974 27017032 27154874 27278776 28172576 29460956 29611267 30049556 30426256 30581492 30876608 31175744 32453386 32601464 32767798 33669664 33841448 35912884 36096113 36901312 37089584 37258816 37448912 39943922 41043296 43139257 44326576 44552732 47279806 47737858 49051744 49302008 50917408 52586723 53245948 53517611 54034064 54309748 54557552 56345152 58921912 59222534 60099112 60852512 61162984 62847547 64906772 65202928 65237929 65535596 67339328 67682896 71825768 72192226 74179168 74897824 77967281 79887844 82086592 86278514 88653152 89105464 94559612 95042059 95475716 95962837 98103488 98604016 101834816 105173446 106491896 107035222 108068128 108619496 109115104 113586851 114687293 117843824 118445068 120198224 121705024 122325968 125695094 129813544 130405856 130475858 131071192 135365792 139803727 143651536 144384452 148358336 149795648 155934562 159775688 167082503 172557028 173437421 177306304 178210928 189119224 190084118 190951432 191925674 197208032 207278869 210346892 212983792 214070444 216136256 217238992 218230208 227173702 229374586 235687648 236890136 240396448 244651936 251390188 252672791 259627088 260811712 260951716 262142384 270731584 279607454 287303072 288768904 301974799 311869124 313460293 319551376 334165006 345114056 346874842 356421856 368107061 374623277 378238448 380168236 381902864 383851348 394416064 414557738 420693784 425967584 428140888 434477984 454347404 456665503 458749172 461089729 471375296 473780272 480792896 489303872 502780376 505345582 519254176 521903432 524284768 545770967 559214908 574606144 577537808 603949598 623738248 626920586 639102752 665294413 668330012 671739859 690228112 693749684 712843712 736214122 749246554 756476896 760336472 763805728 767702696 802811051 818850401 829115476 833345657 841387568 851935168 856281776 868955968 908694808 913331006 917498344 922179458 947560544 978626089 1005560752 1010691164 1038508352 1043806864 1048569536 1091541934 1118429816 1155075616 1207899196 1214061947 1247476496 1253841172 1278205504 1330588826 1336660024 1343479718 1380456224 1387499368 1450952083 1472428244 1479940633 1498493108 1512953792 1520672944 1527611456 1535405392 1605622102 1637700802 1658230952 1666691314 1682775136 1712563552 1768709537 1817389616 1826662012 1834996688 1844358916 1895121088 1957252178 2011121504 2021382328 2087613728 2183083868 2194222051 2236859632 2310151232 2415798392 2428123894 2494952992 2507682344 2576749427 2622362939 2661177652 2673320048 2674755089 2686959436 2760912448 2774998736 2901904166 2944856488 2959881266 2996986216 3041345888 3070810784 3196658521 3211244204 3227628103 3275401604 3316461904 3333382628 3365550272 3425127104 3537419074 3634779232 3653324024 3669993376 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72517091017 74512974256 74893142492 75234864208 75618715556 77699964608 80247339298 81667874386 82455981664 82876675448 83915614048 85592162848 89506438588 89963104091 90373586884 90834676613 91711244912 92860933312 93334713584 94716200512 99047734072 99553079654 102293072672 102814976104 103284099296 107516880499 109606121968 110165336876 113197410368 113774948176 118978070806 122876434856 125903242144 131062999361 131661012364 132332752223 135974938064 136668687748 140430211264 145034182034 149025948512 149786284984 150469728416 151237431112 158153777047 160494678596 161313528997 163335748772 164911963328 165753350896 167831228096 171184325696 179012877176 179926208182 180747173768 181669353226 183422489824 186669427168 192789339533 198095468144 199106159308 204586145344 205629952208 206568198592 215033760998 219212243936 220330673752 227549896352 237956141612 239170203559 245752869712 251806484288 262125998722 263322024728 264665504446 271949876128 273337375496 280865687543 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20151735316384 20346967561312 21592406027696 21702571364572 22299889842496 22413664790672 23438679948782 24802938702368 25819410874117 25937219435708 26069552187931 26787062798608 28571733860698 29358111856864 29507898141848 29642536497952 29793773929064 31156294078259 31617451683412 31778765212409 32487656775616 32653410126512 33723312162112 35265536803672 35607193232296 36134230495328 37979499888001 39024807224368 39223913383676 40303470632768 40693935122624 43184812055392 43405142729144 44827329581344 46877359897564 49605877404736 51638821748234 51874438871416 52139104375862 53574125597216 55330540445971 57143467721396 57435016026097 58716223713728 59015796283696 59285072995904 59587547858128 62312588156518 63234903366824 63557530424818 65306820253024 68641848421433 70531073607344 71214386464592 72268460990656 75958999776002 78049614448736 78447826767352 86369624110784 86810285458288 89654659162688 93754719795128 100001068512443 103277643496468 103748877742832 104278208751724 107148251194432 110661080891942 114286935442792 114870032052194 118031592567392 119175095716256 124625176313036 126469806733648 127115060849636 130613640506048 137283696842866 141062147214688 142428772929184 151917999552004 152693091386453 156099228897472 156895653534704 173620570916576 180735876118819 182486865315517 187509439590256 200002137024886 206555286992936 207497755485664 208556417503448 221322161783884 222451356486863 228573870885584 229740064104388 236063185134784 238350191432512 249250352626072 252939613467296 254230121699272 265856499216007 274567393685732 282124294429376 284857545858368 303835999104008 305386182772906 313791307069408 347241141833152 361471752237638 364973730631034 375018879180512 400004274049772 402045112182679 413110573985872 414995510971328 417112835006896 442644323567768 444902712973726 457147741771168 459480128208776 480492938950031 498500705252144 505879226934592 508460243398544 531712998432014 549134787371464 607671998208016 610772365545812 627582614138816 722943504475276 729947461262068 750037758361024 800008548099544 804090224365358 826221147971744 834225670013792 885288647135536 889805425947452 914295483542336 918960256417552 960985877900062 997001410504288 1016920486797088 1063425996864028 1068851639705171 1098269574742928 1215343996416032 1221544731091624 1277408057208619 1445887008950552 1459894922524136 1557159495408041 1600017096199088 1608180448730716 1652442295943488 1668451340027584 1770577294271072 1779610851894904 1837920512835104 1921971755800124 1994002821008576 2033840973594176 2126851993728056 2137703279410342 2196539149485856 2430687992832064 2443089462183248 2554816114417238 2814315785278753 2891774017901104 2919789845048272 3114318990816082 3200034192398176 3216360897461432 3541154588542144 3559221703789808 3675841025670208 3843943511600248 4253703987456112 4275406558820684 4393078298971712 4886178924366496 5109632228834476 5628631570557506 5783548035802208 5839579690096544 6228637981632164 6260416746844573 6400068384796352 6432721794922864 7118443407579616 7481961477936197 7687887023200496 8507407974912224 8550813117641368 9772357848732992 10219264457668952 10900116467856287 11257263141115012 11567096071604416 11679159380193088 12457275963264328 12520833493689146 12865443589845728 14236886815159232 14963922955872394 15375774046400992 17014815949824448 17101626235282736 19700210496951271 20438528915337904 21800232935712574 22514526282230024 24914551926528656 25041666987378292 25730887179691456 29927845911744788 30751548092801984 34203252470565472 39400420993902542 40877057830675808 43600465871425148 43822917227912011 45029052564460048 49829103853057312 50083333974756584 52373730345553379 59855691823489576 68406504941130944 78800841987805084 81754115661351616 87200931742850296 87645834455824022 90058105128920096 99658207706114624 100166667949513168 104747460691106758 119711383646979152 157601683975610168 174401863485700592 175291668911648044 180116210257840192 200333335899026336 209494921382213516 239422767293958304 306760420595384077 315203367951220336 348803726971401184 350583337823296088 400666671798052672 418989842764427032 478845534587916608 613520841190768154 630406735902440672 697607453942802368 701166675646592176 837979685528854064 1227041682381536308 1260813471804881344 1402333351293184352 1675959371057708128 2147322944167688539 2454083364763072616 2804666702586368704 3351918742115416256 4294645888335377078 4908166729526145232 8589291776670754156 9816333459052290464 17178583553341508312 19632666918104580928 34357167106683016624 68714334213366033248 137428668426732066496
- Sum of all divisors σ(n): 330676422241134816000
- Sum of proper divisors (its aliquot sum) s(n): 193247753814402749504
- 137428668426732066496 is an abundant number, because the sum of its proper divisors (193247753814402749504) is greater than itself. Its abundance is 55819085387670683008
Bases of 137428668426732066496
- Binary: 11101110011001101001011010111001110010010100100111001010110110000002
- Hexadecimal: 0x77334B5CE4A4E56C0
- Base-36: T049P5ABJWYPS
Squares and roots of 137428668426732066496
- 137428668426732066496 squared (1374286684267320664962) is 18886638905544663164965671231946565718016
- 137428668426732066496 cubed (1374286684267320664963) is 2595565635845515322596722327942388207509698604187237697191936
-
The
square root of 137428668426732066496 is 11722997416.4772409753 -
The
cube root of 137428668426732066496 is 5160507.8875660825
Scales and comparisons
How big is 137428668426732066496?- 137,428,668,426,732,066,496 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,428,668,426,732,066,496 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137428668426732066496 cubic inches would be around 430042.3 feet tall.
Recreational maths with 137428668426732066496
- 137428668426732066496 backwards is 694660237624866824731
- The number of decimal digits it has is: 21
- The sum of 137428668426732066496's digits is 100
- More coming soon!
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"Number 137428668426732066496 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 137428668426732066496 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/137428668426732066496/
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Numbermatics. 2024. "Number 137428668426732066496 - Facts about the integer". https://numbermatics.com/n/137428668426732066496/
The information we have on file for 137428668426732066496 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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