138728648195736338432
138,728,648,195,736,338,432 is an even composite number composed of four prime numbers multiplied together.
138728648195736338432 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred divisors.
Prime factorization of 138728648195736338432:
224 × 7 × 113 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138728648195736338432 from the Numbermatics database.
Names of 138728648195736338432
- Cardinal: 138728648195736338432 can be written as One hundred thirty-eight quintillion, seven hundred twenty-eight quadrillion, six hundred forty-eight trillion, one hundred ninety-five billion, seven hundred thirty-six million, three hundred thirty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38728648195736338432 × 1020
Factors of 138728648195736338432
Divisors of 138728648195736338432
- Number of divisors d(n): 1400
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 121 124 128 154 176 217 224 242 248 256 308 341 352 434 448 484 496 512 616 682 704 847 868 896 961 968 992 1024 1232 1331 1364 1408 1694 1736 1792 1922 1936 1984 2048 2387 2464 2662 2728 2816 3388 3472 3584 3751 3844 3872 3968 4096 4774 4928 5324 5456 5632 6727 6776 6944 7168 7502 7688 7744 7936 8192 9317 9548 9856 10571 10648 10912 11264 13454 13552 13888 14336 15004 15376 15488 15872 16384 18634 19096 19712 21142 21296 21824 22528 26257 26908 27104 27776 28672 29791 30008 30752 30976 31744 32768 37268 38192 39424 41261 42284 42592 43648 45056 52514 53816 54208 55552 57344 59582 60016 61504 61952 63488 65536 73997 74536 76384 78848 82522 84568 85184 87296 90112 105028 107632 108416 111104 114688 116281 119164 120032 123008 123904 126976 131072 147994 149072 152768 157696 165044 169136 170368 174592 180224 208537 210056 215264 216832 222208 229376 232562 238328 240064 246016 247808 253952 262144 288827 295988 298144 305536 315392 327701 330088 338272 340736 349184 360448 417074 420112 430528 433664 444416 458752 465124 476656 480128 492032 495616 507904 524288 577654 591976 596288 611072 630784 655402 660176 676544 681472 698368 720896 813967 834148 840224 861056 867328 888832 917504 923521 930248 953312 960256 984064 991232 1015808 1048576 1155308 1183952 1192576 1222144 1261568 1279091 1310804 1320352 1353088 1362944 1396736 1441792 1627934 1668296 1680448 1722112 1734656 1777664 1835008 1847042 1860496 1906624 1920512 1968128 1982464 2031616 2097152 2293907 2310616 2367904 2385152 2444288 2523136 2558182 2621608 2640704 2706176 2725888 2793472 2883584 3255868 3336592 3360896 3444224 3469312 3555328 3604711 3670016 3694084 3720992 3813248 3841024 3936256 3964928 4063232 4194304 4587814 4621232 4735808 4770304 4888576 5046272 5116364 5243216 5281408 5412352 5451776 5586944 5767168 6464647 6511736 6673184 6721792 6888448 6938624 7110656 7209422 7340032 7388168 7441984 7626496 7682048 7872512 7929856 8126464 8388608 8953637 9175628 9242464 9471616 9540608 9777152 10092544 10158731 10232728 10486432 10562816 10824704 10903552 11173888 11534336 12929294 13023472 13346368 13443584 13776896 13877248 14221312 14418844 14680064 14776336 14883968 15252992 15364096 15745024 15859712 16252928 16777216 17907274 18351256 18484928 18943232 19081216 19554304 20185088 20317462 20465456 20972864 21125632 21649408 21807104 22347776 23068672 25232977 25858588 26046944 26692736 26887168 27553792 27754496 28442624 28629151 28837688 29360128 29552672 29767936 30505984 30728192 31490048 31719424 32505856 35814548 36702512 36969856 37886464 38162432 39108608 39651821 40370176 40634924 40930912 41945728 42251264 43298816 43614208 44695552 46137344 50465954 51717176 52093888 53385472 53774336 55107584 55508992 56885248 57258302 57675376 58720256 59105344 59535872 61011968 61456384 62980096 63438848 65011712 71111117 71629096 73405024 73939712 75772928 76324864 78217216 79303642 80740352 81269848 81861824 83891456 84502528 86597632 87228416 89391104 92274688 100931908 103434352 104187776 106770944 107548672 110215168 111017984 111746041 113770496 114516604 115350752 117440512 118210688 119071744 122023936 122912768 125960192 126877696 130023424 142222234 143258192 146810048 147879424 151545856 152649728 156434432 158607284 161480704 162539696 163723648 167782912 169005056 173195264 174456832 178782208 184549376 200404057 201863816 206868704 208375552 213541888 215097344 220430336 222035968 223492082 227540992 229033208 230701504 236421376 238143488 244047872 245825536 251920384 253755392 260046848 277562747 284444468 286516384 293620096 295758848 303091712 305299456 312868864 314920661 317214568 322961408 325079392 327447296 335565824 338010112 346390528 348913664 357564416 400808114 403727632 413737408 416751104 427083776 430194688 440860672 444071936 446984164 455081984 458066416 461403008 472842752 476286976 488095744 491651072 503840768 507510784 520093696 555125494 568888936 573032768 587240192 591517696 606183424 610598912 625737728 629841322 634429136 645922816 650158784 654894592 671131648 676020224 692781056 697827328 715128832 782222287 801616228 807455264 827474816 833502208 854167552 860389376 881721344 887503681 888143872 893968328 910163968 916132832 922806016 945685504 952573952 976191488 983302144 1007681536 1015021568 1110250988 1137777872 1146065536 1174480384 1183035392 1212366848 1221197824 1229206451 1251475456 1259682644 1268858272 1291845632 1300317568 1309789184 1342263296 1352040448 1385562112 1395654656 1430257664 1564444574 1603232456 1614910528 1654949632 1667004416 1708335104 1720778752 1763442688 1775007362 1776287744 1787936656 1820327936 1832265664 1845612032 1891371008 1905147904 1952382976 1966604288 2015363072 2030043136 2204444627 2220501976 2275555744 2292131072 2348960768 2366070784 2424733696 2442395648 2458412902 2502950912 2519365288 2537716544 2600635136 2619578368 2684526592 2704080896 2771124224 2791309312 2860515328 3128889148 3206464912 3229821056 3309899264 3334008832 3416670208 3441557504 3464127271 3526885376 3550014724 3552575488 3575873312 3640655872 3664531328 3691224064 3782742016 3810295808 3904765952 3933208576 4030726144 4408889254 4441003952 4551111488 4584262144 4697921536 4732141568 4849467392 4884791296 4916825804 5005901824 5038730576 5075433088 5201270272 5239156736 5369053184 5408161792 5542248448 5582618624 5721030656 6212525767 6257778296 6412929824 6459642112 6619798528 6668017664 6833340416 6883115008 6928254542 7053770752 7100029448 7105150976 7151746624 7329062656 7382448128 7565484032 7620591616 7809531904 7866417152 8061452288 8604445157 8817778508 8882007904 9102222976 9168524288 9395843072 9464283136 9698934784 9762540491 9769582592 9833651608 10011803648 10077461152 10150866176 10402540544 10478313472 10738106368 10816323584 11084496896 11165237248 12425051534 12515556592 12825859648 12919284224 13239597056 13336035328 13666680832 13766230016 13856509084 14107541504 14200058896 14210301952 14303493248 14658125312 14764896256 15130968064 15241183232 15619063808 15732834304 16122904576 17208890314 17635557016 17764015808 18204445952 18337048576 18791686144 18928566272 19397869568 19525080982 19539165184 19667303216 20023607296 20154922304 20301732352 20805081088 20956626944 21476212736 21632647168 22168993792 22330474496 24248890897 24850103068 25031113184 25651719296 25838568448 26479194112 26672070656 27333361664 27532460032 27713018168 28215083008 28400117792 28606986496 29316250624 29529792512 30261936128 30482366464 31238127616 31465668608 34417780628 35271114032 35528031616 36408891904 36674097152 37583372288 37857132544 38105399981 38795739136 39050161964 39078330368 39334606432 40047214592 40309844608 40603464704 41610162176 41913253888 42952425472 43265294336 44337987584 48497781794 49700206136 50062226368 51303438592 51677136896 52958388224 53344141312 54666723328 55064920064 55426036336 56430166016 56800235584 57213972992 58632501248 59059585024 60523872256 60964732928 62476255232 62931337216 68337783437 68835561256 70542228064 71056063232 72817783808 73348194304 75166744576 75714265088 76210799962 77591478272 78100323928 78156660736 78669212864 80619689216 81206929408 83220324352 83826507776 85904850944 86530588672 88675975168 96995563588 99400412272 100124452736 102606877184 103354273792 105916776448 106688282624 107387945401 109333446656 110129840128 110852072672 112860332032 113600471168 114427945984 117265002496 118119170048 121047744512 121929465856 124952510464 136675566874 137671122512 141084456128 142112126464 145635567616 146696388608 150333489152 151428530176 152421599924 155182956544 156200647856 156313321472 157338425728 161239378432 162413858816 166440648704 167653015552 171809701888 173061177344 177351950336 193991127176 198800824544 200248905472 205213754368 206708547584 211833552896 213376565248 214775890802 218666893312 220259680256 221704145344 227200942336 228855891968 234530004992 236238340096 242095489024 243858931712 249905020928 266737799867 273351133748 275342245024 282168912256 284224252928 291271135232 293392777216 300666978304 302857060352 304843199848 310365913088 312401295712 314676851456 322478756864 324827717632 332881297408 335306031104 343619403776 346122354688 387982254352 397601649088 400497810944 410427508736 413417095168 423667105792 426753130496 429551781604 437333786624 440519360512 443408290688 454401884672 457711783936 469060009984 472476680192 484190978048 487717863424 499810041856 533475599734 546702267496 550684490048 564337824512 568448505856 582542270464 586785554432 601333956608 605714120704 609686399696 620731826176 624802591424 629353702912 644957513728 649655435264 665762594816 670612062208 687238807552 692244709376 751715617807 775964508704 795203298176 800995621888 820855017472 826834190336 847334211584 853506260992 859103563208 874667573248 886816581376 908803769344 915423567872 938120019968 944953360384 968381956096 975435726848 1066951199468 1093404534992 1101368980096 1128675649024 1136897011712 1165084540928 1173571108864 1181267399411 1202667913216 1211428241408 1219372799392 1241463652352 1249605182848 1258707405824 1289915027456 1299310870528 1331525189632 1341224124416 1374477615104 1503431235614 1551929017408 1590406596352 1601991243776 1641710034944 1653668380672 1694668423168 1707012521984 1718207126416 1749335146496 1773633162752 1817607538688 1830847135744 1876240039936 1889906720768 1936763912192 1950871453696 2133902398936 2186809069984 2202737960192 2257351298048 2273794023424 2330169081856 2347142217728 2362534798822 2405335826432 2422856482816 2438745598784 2499210365696 2517414811648 2579830054912 2598621741056 2663050379264 2682448248832 2748955230208 3006862471228 3103858034816 3180813192704 3203982487552 3283420069888 3307336761344 3389336846336 3414025043968 3436414252832 3498670292992 3547266325504 3635215077376 3661694271488 3752480079872 3779813441536 3873527824384 4267804797872 4373618139968 4405475920384 4514702596096 4547588046848 4660338163712 4694284435456 4725069597644 4810671652864 4845712965632 4877491197568 4998420731392 5034829623296 5159660109824 5197243482112 5326100758528 5364896497664 5497910460416 6013724942456 6207716069632 6361626385408 6407964975104 6566840139776 6614673522688 6778673692672 6828050087936 6872828505664 7094532651008 7270430154752 7323388542976 7504960159744 7559626883072 7747055648768 8268871795877 8535609595744 8747236279936 8810951840768 9029405192192 9095176093696 9320676327424 9388568870912 9450139195288 9621343305728 9754982395136 9996841462784 10069659246592 10319320219648 10394486964224 10652201517056 10729792995328 12027449884912 12415432139264 12723252770816 12815929950208 13133680279552 13229347045376 13557347385344 13656100175872 13745657011328 14189065302016 14540860309504 14646777085952 15009920319488 15119253766144 15494111297536 16537743591754 17071219191488 17494472559872 17621903681536 18058810384384 18190352187392 18641352654848 18777137741824 18900278390576 19242686611456 19509964790272 19993682925568 20139318493184 20638640439296 20788973928448 21304403034112 21459585990656 24054899769824 24830864278528 25446505541632 25631859900416 26267360559104 26458694090752 27114694770688 27491314022656 28378130604032 29081720619008 29293554171904 30019840638976 30238507532288 33075487183508 34142438382976 34988945119744 35243807363072 36117620768768 36380704374784 37282705309696 37554275483648 37800556781152 38485373222912 39019929580544 39987365851136 40278636986368 41277280878592 41577947856896 42608806068224 48109799539648 49661728557056 50893011083264 51263719800832 52534721118208 52917388181504 54229389541376 54982628045312 56756261208064 58163441238016 58587108343808 60039681277952 60477015064576 66150974367016 68284876765952 69977890239488 70487614726144 72235241537536 72761408749568 74565410619392 75108550967296 75601113562304 78039859161088 79974731702272 80557273972736 82554561757184 83155895713792 85217612136448 96219599079296 99323457114112 101786022166528 102527439601664 105069442236416 105834776363008 108458779082752 109965256090624 113512522416128 116326882476032 117174216687616 120079362555904 132301948734032 136569753531904 139955780478976 140975229452288 144470483075072 145522817499136 149130821238784 150217101934592 151202227124608 156079718322176 159949463404544 161114547945472 165109123514368 166311791427584 170435224272896 192439198158592 198646914228224 203572044333056 205054879203328 210138884472832 211669552726016 219930512181248 227025044832256 232653764952064 234348433375232 240158725111808 264603897468064 273139507063808 279911560957952 281950458904576 288940966150144 291045634998272 298261642477568 302404454249216 312159436644352 319898926809088 322229095890944 330218247028736 332623582855168 384878396317184 397293828456448 407144088666112 410109758406656 420277768945664 423339105452032 439861024362496 454050089664512 465307529904128 468696866750464 480317450223616 529207794936128 546279014127616 559823121915904 563900917809152 577881932300288 582091269996544 596523284955136 604808908498432 624318873288704 639797853618176 644458191781888 660436494057472 665247165710336 769756792634368 794587656912896 814288177332224 820219516813312 840555537891328 879722048724992 908100179329024 930615059808256 937393733500928 1058415589872256 1092558028255232 1119646243831808 1127801835618304 1155763864600576 1164182539993088 1193046569910272 1209617816996864 1248637746577408 1279595707236352 1288916383563776 1320872988114944 1539513585268736 1589175313825792 1628576354664448 1640439033626624 1681111075782656 1759444097449984 1816200358658048 1861230119616512 1874787467001856 2116831179744512 2185116056510464 2239292487663616 2255603671236608 2311527729201152 2328365079986176 2419235633993728 2497275493154816 2559191414472704 2577832767127552 2641745976229888 3079027170537472 3178350627651584 3257152709328896 3280878067253248 3362222151565312 3518888194899968 3632400717316096 3722460239233024 4233662359489024 4370232113020928 4478584975327232 4511207342473216 4623055458402304 4656730159972352 4838471267987456 4994550986309632 5118382828945408 5155665534255104 5283491952459776 6158054341074944 6356701255303168 6514305418657792 6561756134506496 7037776389799936 7264801434632192 7444920478466048 8467324718978048 8740464226041856 8957169950654464 9022414684946432 9246110916804608 9676942535974912 9989101972619264 10236765657890816 10311331068510208 12316108682149888 12713402510606336 13028610837315584 13123512269012992 14075552779599872 14529602869264384 14889840956932096 16934649437956096 17480928452083712 17914339901308928 18044829369892864 18492221833609216 19353885071949824 19978203945238528 20473531315781632 20622662137020416 24632217364299776 25426805021212672 26057221674631168 28151105559199744 29059205738528768 33869298875912192 34961856904167424 35828679802617856 36089658739785728 36984443667218432 38707770143899648 39956407890477056 40947062631563264 49264434728599552 50853610042425344 52114443349262336 56302211118399488 58118411477057536 67738597751824384 69923713808334848 71657359605235712 72179317479571456 77415540287799296 79912815780954112 81894125263126528 98528869457199104 101707220084850688 104228886698524672 112604422236798976 135477195503648768 139847427616669696 143314719210471424 144358634959142912 154831080575598592 159825631561908224 163788250526253056 197057738914398208 203414440169701376 225208844473597952 270954391007297536 279694855233339392 286629438420942848 309662161151197184 319651263123816448 394115477828796416 406828880339402752 450417688947195904 541908782014595072 559389710466678784 573258876841885696 619324322302394368 639302526247632896 788230955657592832 900835377894391808 1083817564029190144 1118779420933357568 1146517753683771392 1238648644604788736 1576461911315185664 1801670755788783616 2167635128058380288 2237558841866715136 2477297289209577472 3152923822630371328 4335270256116760576 4475117683733430272 4954594578419154944 6305847645260742656 8670540512233521152 9909189156838309888 12611695290521485312 17341081024467042304 19818378313676619776 34682162048934084608 69364324097868169216 138728648195736338432
- Sum of all divisors σ(n): 360405611640325798464
- Sum of proper divisors (its aliquot sum) s(n): 221676963444589460032
- 138728648195736338432 is an abundant number, because the sum of its proper divisors (221676963444589460032) is greater than itself. Its abundance is 82948315248853121600
Bases of 138728648195736338432
- Binary: 11110000101001111110010101010000100101001010000000000000000000000002
- Hexadecimal: 0x7853F2A84A5000000
- Base-36: T9ZTTIJQ62N7K
Squares and roots of 138728648195736338432
- 138728648195736338432 squared (1387286481957363384322) is 19245637830216379228596314054766440218624
- 138728648195736338432 cubed (1387286481957363384323) is 2669921319850642517513384947079329427434054065700483333357568
-
The
square root of 138728648195736338432 is 11778312620.9035706013 -
The
cube root of 138728648195736338432 is 5176728.4564702527 - Being both a perfect square and a perfect cube, 138728648195736338432 is also a
perfect sixth number .
Scales and comparisons
How big is 138728648195736338432?- 138,728,648,195,736,338,432 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,728,648,195,736,338,432 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 138728648195736338432 cubic inches would be around 431394 feet tall.
Recreational maths with 138728648195736338432
- 138728648195736338432 backwards is 234833637591846827831
- The number of decimal digits it has is: 21
- The sum of 138728648195736338432's digits is 101
- More coming soon!
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Cite this page
MLA style:
"Number 138728648195736338432 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 138728648195736338432 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138728648195736338432/
Chicago style:
Numbermatics. 2024. "Number 138728648195736338432 - Facts about the integer". https://numbermatics.com/n/138728648195736338432/
The information we have on file for 138728648195736338432 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 138728648195736338432, math, Factors of 138728648195736338432, curriculum, school, college, exams, university, Prime factorization of 138728648195736338432, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred twenty-eight quadrillion, six hundred forty-eight trillion, one hundred ninety-five billion, seven hundred thirty-six million, three hundred thirty-eight thousand, four hundred thirty-two.