138046426329718653120
138,046,426,329,718,653,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 138046426329718653120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
138046426329718653120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138046426329718653120:
26 × 34 × 5 × 11 × 293 × 1408972
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 29 × 29 × 140897 × 140897)See below for interesting mathematical facts about the number 138046426329718653120 from the Numbermatics database.
Names of 138046426329718653120
- Cardinal: 138046426329718653120 can be written as One hundred thirty-eight quintillion, forty-six quadrillion, four hundred twenty-six trillion, three hundred twenty-nine billion, seven hundred eighteen million, six hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3804642632971865312 × 1020
Factors of 138046426329718653120
Divisors of 138046426329718653120
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 32 33 36 40 44 45 48 54 55 58 60 64 66 72 80 81 87 88 90 96 99 108 110 116 120 132 135 144 145 160 162 165 174 176 180 192 198 216 220 232 240 261 264 270 288 290 297 319 320 324 330 348 352 360 396 405 432 435 440 464 480 495 522 528 540 576 580 594 638 648 660 696 704 720 783 792 810 841 864 870 880 891 928 957 960 990 1044 1056 1080 1160 1188 1276 1296 1305 1320 1392 1440 1485 1566 1584 1595 1620 1682 1728 1740 1760 1782 1856 1914 1980 2088 2112 2160 2320 2349 2376 2523 2552 2592 2610 2640 2784 2871 2880 2970 3132 3168 3190 3240 3364 3480 3520 3564 3828 3915 3960 4176 4205 4320 4455 4640 4698 4752 4785 5046 5104 5184 5220 5280 5568 5742 5940 6264 6336 6380 6480 6728 6960 7128 7569 7656 7830 7920 8352 8410 8613 8640 8910 9251 9280 9396 9504 9570 10092 10208 10440 10560 11484 11745 11880 12528 12615 12760 12960 13456 13920 14256 14355 15138 15312 15660 15840 16704 16820 17226 17820 18502 18792 19008 19140 20184 20416 20880 22707 22968 23490 23760 24389 25056 25230 25520 25839 25920 26912 27753 27840 28512 28710 30276 30624 31320 31680 33640 34452 35640 37004 37584 37845 38280 40368 41760 43065 45414 45936 46255 46980 47520 48778 50112 50460 51040 51678 53824 55506 57024 57420 60552 61248 62640 67280 68121 68904 71280 73167 74008 75168 75690 76560 80736 83259 83520 86130 90828 91872 92510 93960 95040 97556 100920 102080 103356 111012 113535 114840 121104 121945 125280 129195 134560 136242 137808 138765 140897 142560 146334 148016 150336 151380 153120 161472 166518 172260 181656 183744 185020 187920 195112 201840 206712 219501 222024 227070 229680 242208 243890 249777 250560 258390 268279 269120 272484 275616 277530 281794 285120 292668 296032 302760 306240 333036 340605 344520 363312 365835 370040 375840 390224 403680 413424 416295 422691 439002 444048 454140 459360 484416 487780 499554 516780 536558 544968 551232 555060 563588 585336 592064 605520 658503 666072 681210 689040 704485 726624 731670 740080 749331 751680 780448 804837 807360 826848 832590 845382 878004 888096 908280 918720 975560 999108 1033560 1073116 1089936 1097505 1110120 1127176 1170672 1211040 1248885 1268073 1317006 1332144 1341395 1362420 1378080 1408970 1453248 1463340 1480160 1498662 1549867 1560896 1609674 1653696 1665180 1690764 1756008 1776192 1816560 1951120 1975509 1998216 2067120 2113455 2146232 2179872 2195010 2220240 2254352 2341344 2414511 2422080 2497770 2536146 2634012 2664288 2682790 2724840 2756160 2817940 2926680 2960320 2997324 3099734 3219348 3292515 3330360 3381528 3512016 3633120 3746655 3804219 3902240 3951018 3996432 4024185 4086013 4134240 4226910 4292464 4359744 4390020 4440480 4508704 4649601 4682688 4829022 4995540 5072292 5268024 5328576 5365580 5449680 5635880 5853360 5994648 6199468 6340365 6438696 6585030 6660720 6763056 7024032 7243533 7266240 7493310 7608438 7749335 7804480 7902036 7992864 8048370 8172026 8268480 8453820 8584928 8780040 8880960 9017408 9299202 9658044 9877545 9991080 10144584 10536048 10731160 10899360 11271760 11412657 11706720 11989296 12072555 12258039 12398936 12680730 12877392 13170060 13321440 13526112 13948803 14048064 14487066 14986620 15216876 15498670 15804072 15985728 16096740 16344052 16907640 17169856 17560080 18598404 19021095 19316088 19755090 19982160 20289168 20430065 21072096 21462320 21730599 21798720 22543520 22825314 23248005 23413440 23978592 24145110 24516078 24797872 25361460 25754784 26340120 26642880 27052224 27897606 28974132 29973240 30433752 30997340 31608144 32193480 32688104 33815280 35120160 36217665 36774117 37196808 38042190 38632176 39510180 39964320 40578336 40860130 41846409 42144192 42924640 43461198 44946143 45087040 45650628 46496010 47957184 48290220 49032156 49595744 50722920 51509568 52680240 55795212 57063285 57948264 59946480 60867504 61290195 61994680 63216288 64386960 65376208 67630560 69744015 70240320 72435330 73548234 74393616 76084380 77264352 79020360 79928640 81156672 81720260 83692818 85849280 86922396 89892286 91301256 92992020 96580440 98064312 99191488 101445840 105360480 108652995 110322351 111590424 114126570 115896528 118494377 119892960 121735008 122580390 123989360 125539227 126432576 128773920 130752416 134838429 135261120 139488030 144870660 147096468 148787232 152168760 154528704 158040720 163440520 167385636 173844792 179784572 182602512 183870585 185984040 193160880 196128624 202891680 209232045 210720960 217305990 220644702 223180848 224730715 228253140 231793056 236988754 239785920 243470016 245160780 247978720 251078454 257547840 261504832 269676858 278976060 289741320 294192936 297574464 304337520 316081440 326881040 330967053 334771272 347689584 355483131 359569144 365205024 367741170 371968080 386321760 392257248 404515287 405783360 418464090 434611980 441289404 446361696 449461430 456506280 463586112 473977508 490321560 495957440 502156908 539353716 551611755 557952120 579482640 588385872 592471885 608675040 627696135 632162880 653762080 661934106 669542544 674192145 695379168 710966262 719138288 730410048 735482340 743936160 772643520 784514496 809030574 836928180 869223960 882578808 892723392 898922860 913012560 947955016 980643120 1004313816 1066449393 1078707432 1103223510 1115904240 1158965280 1176771744 1184943770 1213545861 1217350080 1255392270 1303438147 1307524160 1323868212 1339085088 1348384290 1390758336 1421932524 1438276576 1470964680 1487872320 1618061148 1654835265 1673856360 1738447920 1765157616 1777415655 1797845720 1826025120 1895910032 1961286240 2008627632 2022576435 2132898786 2157414864 2206447020 2231808480 2317930560 2353543488 2369887540 2427091722 2510784540 2606876294 2647736424 2678170176 2696768580 2843865048 2876553152 2941929360 3199348179 3236122296 3309670530 3347712720 3436336933 3476895840 3530315232 3554831310 3595691440 3640637583 3652050240 3791820064 3910314441 3922572480 4017255264 4045152870 4265797572 4314829728 4412894040 4463616960 4739775080 4854183444 5021569080 5213752588 5295472848 5332246965 5393537160 5687730096 5883858720 6067729305 6398696358 6472244592 6517190735 6619341060 6695425440 6872673866 6953791680 7060630464 7109662620 7191382880 7281275166 7583640128 7820628882 8034510528 8090305740 8531595144 8629659456 8825788080 9479550160 9598044537 9708366888 10043138160 10309010799 10427505176 10590945696 10664493930 10787074320 11375460192 11730943323 11767717440 12135458610 12797392716 12944489184 13034381470 13238682120 13390850880 13745347732 14219325240 14382765760 14562550332 15641257764 15996740895 16180611480 17063190288 17181684665 17651576160 18203187915 18959100320 19196089074 19416733776 19551572205 19851964609 20086276320 20618021598 20855010352 21181891392 21328987860 21574148640 22750920384 23461886646 24270917220 25594785432 25888978368 26068762940 26477364240 27490695464 28438650480 29125100664 30927032397 31282515528 31993481790 32361222960 34126380576 34363369330 35192829969 35303152320 36406375830 37799706263 37918200640 38392178148 38833467552 39103144410 39703929218 40172552640 41236043196 41710020704 42657975720 43148297280 46923773292 47990222685 48541834440 51189570864 51545053995 52137525880 52954728480 54981390928 56877300960 58250201328 58654716615 59555893827 61854064794 62565031056 63986963580 64722445920 68252761152 68726738660 70385659938 72812751660 75599412526 76784356296 77666935104 78206288820 79407858436 82472086392 83420041408 85315951440 92781097191 93847546584 95980445370 97083668880 99259823045 102379141728 103090107990 104275051760 105578489907 105909456960 109962781856 113399118789 113754601920 116500402656 117309433230 119111787654 123708129588 125130062112 127973927160 129444891840 137453477320 140771319876 145625503320 151198825052 153568712592 154635161985 156412577640 158815716872 164944172784 170631902880 175964149845 178667681481 185562194382 187695093168 188998531315 191960890740 194167337760 198519646090 204758283456 206180215980 208550103520 211156979814 218371610699 219925563712 226798237578 233000805312 234618866460 238223575308 247416259176 250260124224 255947854320 274906954640 278343291573 281542639752 291251006640 297779469135 302397650104 307137425184 309270323970 312825155280 317631433744 329888345568 340197356367 341263805760 351928299690 357335362962 371124388764 375390186336 377997062630 383921781480 388334675520 397039292180 412360431960 417100207040 422313959628 436743221398 453596475156 463905485955 469237732920 476447150616 494832518352 511895708640 527892449535 536003044443 549813909280 556686583146 563085279504 566995593945 575706973661 582502013280 595558938270 604795300208 614274850368 618540647940 625650310560 635262867488 655114832097 659776691136 680394712734 703856599380 714670725924 742248777528 750780372672 755994125260 767843562960 794078584360 824720863920 844627919256 873486442796 893338407405 907192950312 927810971910 938475465840 952894301232 989665036704 1020592069101 1023791417280 1055784899070 1072006088886 1091858053495 1099627818560 1113373166292 1126170559008 1133991187890 1151413947322 1165004026560 1191117876540 1209590600416 1237081295880 1251300621120 1270525734976 1310229664194 1360789425468 1391716457865 1407713198760 1429341451848 1484497555056 1511988250520 1535687125920 1588157168720 1608009133329 1649441727840 1689255838512 1700986781835 1727120920983 1746972885592 1786676814810 1814385900624 1855621943820 1876950931680 1905788602464 1965344496291 1979330073408 2041184138202 2111569798140 2144012177772 2183716106990 2226746332584 2252341118016 2267982375780 2302827894644 2382235753080 2419181200832 2474162591760 2620459328388 2680015222215 2721578850936 2783432915730 2815426397520 2858682903696 2878534868305 2968995110112 3023976501040 3061776207303 3071374251840 3176314337440 3216018266658 3275574160485 3298883455680 3378511677024 3401973563670 3454241841966 3493945771184 3573353629620 3628771801248 3711243887640 3753901863360 3811577204928 3930688992582 4082368276404 4223139596280 4288024355544 4367432213980 4453492665168 4535964751560 4605655789288 4764471506160 4948325183520 5102960345505 5181362762949 5240918656776 5360030444430 5443157701872 5566865831460 5630852795040 5717365807392 5757069736610 5896033488873 5937990220224 6047953002080 6123552414606 6332776710271 6352628674880 6432036533316 6551148320970 6757023354048 6803947127340 6908483683932 6987891542368 7146707259240 7257543602496 7422487775280 7861377985164 8040045666645 8164736552808 8446279192560 8576048711088 8635604604915 8734864427960 8906985330336 9071929503120 9211311578576 9528943012320 9826722481455 9896650367040 10205920691010 10362725525898 10481837313552 10720060888860 10886315403744 11133731662920 11261705590080 11434731614784 11514139473220 11792066977746 12095906004160 12247104829212 12665553420542 12864073066632 13102296641940 13607894254680 13816967367864 13975783084736 14293414518480 14844975550560 15308881036515 15544088288847 15722755970328 16080091333290 16329473105616 16695502236169 16892558385120 17152097422176 17271209209830 17469728855920 17688100466619 17813970660672 18143859006240 18422623157152 18998330130813 19057886024640 19653444962910 20411841382020 20725451051796 20963674627104 21440121777720 21772630807488 22267463325840 23028278946440 23584133955492 24494209658424 25331106841084 25728146133264 25906813814745 26204593283880 27215788509360 27633934735728 28586829036960 29480167444365 29689951101120 30617762073030 31088176577694 31445511940656 31663883551355 32160182666580 32658946211232 33391004472338 33785116770240 34304194844352 34542418419660 34939457711840 35376200933238 36287718012480 36845246314304 37996660261626 39306889925820 40823682764040 41450902103592 41927349254208 42880243555440 44534926651680 46056557892880 46632264866541 47168267910984 48988419316848 50086506708507 50662213682168 51456292266528 51813627629490 52409186567760 54431577018720 55267869471456 56994990392439 57173658073920 58960334888730 61235524146060 62176353155388 62891023881312 63327767102710 64320365333160 65317892422464 66782008944676 69084836839320 69878915423680 70752401866476 75993320523252 77720441444235 78613779851640 81647365528080 82901804207184 83477511180845 85760487110880 88440502333095 89069853303360 92113115785760 93264529733082 94336535821968 94991650654065 97976838633696 100173013417014 101324427364336 102912584533056 103627255258980 104818373135520 108863154037440 110535738942912 113989980784878 117920669777460 122471048292120 124352706310776 125782047762624 126655534205420 128640730666320 133564017889352 138169673678640 141504803732952 150259520125521 151986641046504 155440882888470 157227559703280 163294731056160 165803608414368 166955022361690 170984971177317 171520974221760 176881004666190 183650524597859 184226231571520 186529059466164 188673071643936 189983301308130 195953677267392 200346026834028 202648854728672 207254510517960 209636746271040 227979961569756 233161324332705 235841339554920 244942096584240 248705412621552 250432533542535 253311068410840 257281461332640 267128035778704 276339347357280 283009607465904 284974951962195 300519040251042 303973282093008 310881765776940 314455119406560 326589462112320 331607216828736 333910044723380 341969942354634 353762009332380 367301049195718 373058118932328 377346143287872 379966602616260 400692053668056 405297709457344 414509021035920 450778560376563 455959923139512 466322648665410 471682679109840 484169564848901 489884193168480 497410825243104 500865067085070 506622136821680 512954913531951 514562922665280 534256071557408 550951573793577 552678694714560 566019214931808 569949903924390 601038080502084 607946564186016 621763531553880 628910238813120 667820089446760 683939884709268 707524018664760 734602098391436 746116237864656 751297600627605 759933205232520 801384107336112 829018042071840 854924855886585 901557120753126 911919846279024 918252622989295 932645297330820 943365358219680 968339129697802 979768386336960 994821650486208 1001730134170140 1013244273643360 1025909827063902 1068512143114816 1101903147587154 1132038429863616 1139899807848780 1202076161004168 1215893128372032 1243527063107760 1335640178893520 1352335681129689 1367879769418536 1415048037329520 1452508694546703 1469204196782872 1492232475729312 1502595201255210 1519866410465040 1602768214672224 1652854721380731 1658036084143680 1709849711773170 1803114241506252 1823839692558048 1836505245978590 1865290594661640 1886730716439360 1936678259395604 2003460268340280 2026488547286720 2051819654127804 2203806295174308 2253892801882815 2279799615697560 2404152322008336 2420847824244505 2487054126215520 2564774567659755 2671280357787040 2704671362259378 2735759538837072 2754757868967885 2830096074659040 2905017389093406 2938408393565744 2984464951458624 3005190402510420 3039732820930080 3205536429344448 3305709442761462 3419699423546340 3606228483012504 3647679385116096 3673010491957180 3730581189323280 3873356518791208 4006920536680560 4103639308255608 4357526083640109 4407612590348616 4507785603765630 4559599231395120 4808304644016672 4841695648489010 4958564164142193 4974108252431040 5129549135319510 5325865213337911 5342560715574080 5409342724518756 5471519077674144 5509515737935770 5660192149318080 5810034778186812 5876816787131488 6010380805020840 6079465641860160 6611418885522924 6761678405648445 6839398847092680 7212456966025008 7262543472733515 7346020983914360 7461162378646560 7746713037582416 8013841073361120 8207278616511216 8264273606903655 8715052167280218 8815225180697232 9015571207531260 9119198462790240 9616609288033344 9683391296978020 9917128328284386 10259098270639020 10651730426675822 10818685449037512 10943038155348288 11019031475871540 11620069556373624 11753633574262976 12020761610041680 13072578250920327 13222837771045848 13523356811296890 13678797694185360 14424913932050016 14525086945467030 14692041967828720 14875692492426579 14922324757293120 15493426075164832 15977595640013733 16027682146722240 16414557233022432 16528547213807310 17430104334560436 17630450361394464 18031142415062520 18238396925580480 19366782593956040 19834256656568772 20518196541278040 21303460853351644 21637370898075024 21787630418200545 22038062951743080 23240139112747248 24041523220083360 24792820820710965 26145156501840654 26445675542091696 26629326066689555 27046713622593780 27357595388370720 28849827864100032 29050173890934060 29384083935657440 29751384984853158 30986852150329664 31955191280027466 32829114466044864 33057094427614620 34860208669120872 35260900722788928 36062284830125040 38733565187912080 39217734752760981 39668513313137544 41036393082556080 42606921706703288 43274741796150048 43575260836401090 44076125903486160 46480278225494496 47932786920041199 48083046440166720 49585641641421930 52290313003681308 52891351084183392 53258652133379110 54093427245187560 54715190776741440 58100347781868120 58768167871314880 59502769969706316 63910382560054932 65362891254601635 66114188855229240 69720417338241744 72124569660250080 74378462462132895 77467130375824160 78435469505521962 79337026626275088 79887978200068665 82072786165112160 85213843413406576 86549483592300096 87150521672802180 88152251806972320 92960556450988992 95865573840082398 99171283282843860 104580626007362616 105782702168366784 106517304266758220 108186854490375120 116200695563736240 119005539939412632 127820765120109864 130725782509203270 132228377710458480 139440834676483488 143798360760123597 144249139320500160 148756924924265790 154934260751648320 156870939011043924 158674053252550176 159775956400137330 164145572330224320 170427686826813152 174301043345604360 176304503613944640 191731147680164796 196088673763804905 198342566565687720 209161252014725232 213034608533516440 216373708980750240 232401391127472480 238011079878825264 239663934600205995 255641530240219728 261451565018406540 264456755420916960 278881669352966976 287596721520247194 297513849848531580 313741878022087848 317348106505100352 319551912800274660 340855373653626304 348602086691208720 383462295360329592 392177347527609810 396685133131375440 418322504029450464 426069217067032880 431395082280370791 432747417961500480 464802782254944960 476022159757650528 479327869200411990 511283060480439456 522903130036813080 528913510841833920 575193443040494388 595027699697063160 627483756044175696 639103825600549320 697204173382417440 718991803800617985 766924590720659184 784354695055219620 793370266262750880 836645008058900928 852138434134065760 862790164560741582 952044319515301056 958655738400823980 1022566120960878912 1045806260073626160 1150386886080988776 1190055399394126320 1254967512088351392 1278207651201098640 1394408346764834880 1437983607601235970 1533849181441318368 1568709390110439240 1586740532525501760 1704276868268131520 1725580329121483164 1917311476801647960 2091612520147252320 2156975411401853955 2300773772161977552 2380110798788252640 2509935024176702784 2556415302402197280 2875967215202471940 3067698362882636736 3137418780220878480 3451160658242966328 3834622953603295920 4183225040294504640 4313950822803707910 4601547544323955104 4760221597576505280 5112830604804394560 5751934430404943880 6274837560441756960 6902321316485932656 7669245907206591840 8627901645607415820 9203095088647910208 11503868860809887760 12549675120883513920 13804642632971865312 15338491814413183680 17255803291214831640 23007737721619775520 27609285265943730624 34511606582429663280 46015475443239551040 69023213164859326560 138046426329718653120
- Sum of all divisors σ(n): 554832009542628211680
- Sum of proper divisors (its aliquot sum) s(n): 416785583212909558560
- 138046426329718653120 is an abundant number, because the sum of its proper divisors (416785583212909558560) is greater than itself. Its abundance is 278739156883190905440
Bases of 138046426329718653120
- Binary: 11101111011110001110110110101011000011101110000001100000000110000002
- Hexadecimal: 0x77BC76D58770300C0
- Base-36: T4T8E1P4PQK00
Squares and roots of 138046426329718653120
- 138046426329718653120 squared (1380464263297186531202) is 19056815822406439406213888455266885734400
- 138046426329718653120 cubed (1380464263297186531203) is 2630725321506847325133145811043990311892820188883310051328000
-
The
square root of 138046426329718653120 is 11749315994.1214728195 -
The
cube root of 138046426329718653120 is 5168228.6921916593
Scales and comparisons
How big is 138046426329718653120?- 138,046,426,329,718,653,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,046,426,329,718,653,120 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 138046426329718653120 cubic inches would be around 430685.7 feet tall.
Recreational maths with 138046426329718653120
- 138046426329718653120 backwards is 021356817923624640831
- 138046426329718653120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138046426329718653120's digits is 81
- 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 138046426329718653120 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138046426329718653120 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138046426329718653120/
Chicago style:
Numbermatics. 2024. "Number 138046426329718653120 - Facts about the integer". https://numbermatics.com/n/138046426329718653120/
The information we have on file for 138046426329718653120 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 138046426329718653120, math, Factors of 138046426329718653120, curriculum, school, college, exams, university, Prime factorization of 138046426329718653120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, forty-six quadrillion, four hundred twenty-six trillion, three hundred twenty-nine billion, seven hundred eighteen million, six hundred fifty-three thousand, one hundred twenty.