138831644228921721
138,831,644,228,921,721 is an odd composite number composed of five prime numbers multiplied together.
138831644228921721 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 138831644228921721:
36 × 76 × 115 × 19 × 232
(3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 19 × 23 × 23)See below for interesting mathematical facts about the number 138831644228921721 from the Numbermatics database.
Names of 138831644228921721
- Cardinal: 138831644228921721 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-one trillion, six hundred forty-four billion, two hundred twenty-eight million, nine hundred twenty-one thousand, seven hundred twenty-one.
Scientific notation
- Scientific notation: 1.38831644228921721 × 1017
Factors of 138831644228921721
Divisors of 138831644228921721
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 3 7 9 11 19 21 23 27 33 49 57 63 69 77 81 99 121 133 147 161 171 189 207 209 231 243 253 297 343 363 399 437 441 483 513 529 539 567 621 627 693 729 759 847 891 931 1029 1089 1127 1197 1311 1323 1331 1449 1463 1539 1587 1617 1701 1771 1863 1881 2079 2277 2299 2401 2541 2673 2783 2793 3059 3087 3267 3381 3591 3703 3773 3933 3969 3993 4347 4389 4617 4761 4807 4851 5103 5313 5589 5643 5819 5929 6237 6517 6831 6897 7203 7623 7889 8019 8349 8379 9177 9261 9317 9801 10051 10143 10241 10773 11109 11319 11799 11907 11979 12397 13041 13167 13851 14283 14421 14553 14641 15939 16093 16767 16807 16929 17457 17787 18711 19481 19551 20493 20691 21413 21609 22869 23667 25047 25137 25289 25921 26411 27531 27783 27951 29403 30153 30429 30613 30723 32319 33327 33649 33957 35397 35721 35937 37191 39123 39501 40733 41503 42849 43263 43659 43923 45619 47817 48279 50421 50787 52371 52877 53361 55223 56133 58443 58653 61479 62073 64009 64239 64827 65219 68607 70357 71001 71687 75141 75411 75867 77763 79233 82593 83349 83853 86779 88209 90459 91287 91839 92169 96957 99981 100947 101871 102487 106191 107811 110561 111573 112651 117369 117649 118503 122199 124509 128547 129789 130977 131769 136367 136857 143451 144837 149891 151263 152361 157113 158631 160083 161051 165669 175329 175959 177023 181447 184437 184877 186219 192027 192717 194481 195657 205821 211071 213003 214291 215061 225423 226233 227601 233289 235543 237699 247779 250047 251559 260337 271377 273861 275517 276507 278179 285131 290521 299943 302841 305613 307461 318573 319333 323433 331683 334719 336743 337953 352947 355509 366597 370139 373527 385641 386561 389367 392931 395307 409101 410571 430353 434511 448063 449673 453789 456533 471339 475893 480249 483153 492499 497007 501809 525987 527877 531069 544341 554631 558657 576081 578151 581647 583443 586971 607453 617463 633213 639009 642873 645183 676269 678699 682803 699867 704099 706629 713097 717409 743337 754677 773927 781011 788557 814131 821583 826551 829521 834537 855393 871563 899829 908523 916839 922383 954569 957999 970299 995049 1004157 1010229 1013859 1049237 1058841 1066527 1099791 1110417 1120581 1127357 1159683 1168101 1185921 1216171 1227303 1231713 1239161 1270129 1291059 1294139 1303533 1344189 1349019 1361367 1369599 1414017 1427679 1440747 1449459 1477497 1491021 1500037 1505427 1577961 1583631 1593207 1633023 1648801 1663893 1675971 1728243 1734453 1744941 1750329 1760913 1822359 1899639 1917027 1928619 1935549 1947253 1995917 2028807 2033647 2048409 2099601 2112297 2119887 2139291 2152227 2230011 2235331 2264031 2321781 2343033 2357201 2365671 2442393 2479653 2488563 2503611 2566179 2590973 2614689 2699487 2705927 2725569 2750517 2767149 2863707 2873997 2985147 3012471 3030687 3041577 3059969 3136441 3147711 3176523 3195731 3299373 3331251 3361743 3382071 3447493 3479049 3504303 3512663 3557763 3648513 3681909 3695139 3704173 3717483 3810387 3882417 3910599 4032567 4047057 4071529 4084101 4108797 4242051 4252171 4283037 4322241 4348377 4432491 4473063 4500111 4516281 4733883 4750893 4779621 4899069 4928693 4946403 4991679 5021863 5184729 5203359 5234823 5282739 5417489 5467077 5519899 5698917 5751081 5785857 5806647 5841759 5987751 6100941 6145227 6298803 6336891 6359661 6398117 6417873 6456681 6681983 6705993 6792093 6965343 7029099 7071603 7097013 7327179 7344659 7438959 7465689 7510833 7698537 7745089 7772919 7844067 7891499 8117781 8176707 8301447 8513197 8591121 8621991 8674127 8890903 8955441 9037413 9092061 9124731 9179907 9409323 9443133 9529569 9587193 9898119 9993753 10085229 10146213 10342479 10437147 10500259 10537989 10673289 10945539 11045727 11085417 11112519 11152449 11431161 11541607 11647251 11731797 12097701 12141171 12214587 12252303 12326391 12756513 12849111 13045131 13297473 13377881 13419189 13500333 13548843 13630771 13971419 14201649 14235529 14338863 14697207 14786079 14839209 14975037 15065589 15554187 15610077 15704469 15848217 16252467 16401231 16500407 16559697 17096751 17357571 17419941 17525277 17963253 18136811 18302823 18435681 18896409 19010673 19078983 19194351 19253619 19370043 20045949 20117979 20896029 21087297 21214809 21291039 21419783 21955087 22033977 22316877 22370117 22532499 23095611 23235267 23318757 23532201 23674497 24132451 24353343 24530121 24588641 24904341 25539591 25773363 25865973 25929211 26022381 26672709 26866323 27276183 27374193 27539721 28227969 28329399 28500703 28588707 28761579 29694357 29765197 29981259 30255687 30438639 31027437 31311441 31500777 31613967 32836617 33137181 33256251 33337557 33457347 34293483 34500851 34624821 34941753 35153041 36293103 36423513 36643761 36979173 37922423 38269539 38547333 38639293 39135393 39892419 40133643 40257567 40500999 40646529 40892313 41914257 42706587 43016589 44091621 44358237 44517627 44786819 44925111 45196767 46662561 46773881 47113407 47544651 48757401 49203693 49501221 49679091 51290253 51412613 52072713 52259823 52575831 53889759 54215623 54410433 54908469 55240493 57032019 57236949 57583053 58110129 59592379 60137847 60353937 60718889 62236321 62688087 63261891 63644427 63873117 64259349 65865261 66101931 67110351 67597497 69286833 69705801 69956271 70379287 70596603 71023491 72397353 73060029 73501813 73765923 74713023 76618773 77320089 77597919 77787633 78067143 80018127 80598969 80791249 81828549 82122579 82619163 84683907 84988197 85195979 85502109 85766121 86284737 89295591 89943777 91315917 93082311 93645167 93934323 94502331 94841901 95415397 97799933 98509851 99411543 100012671 100372041 102880449 103502553 103874463 104825259 105459123 108879309 109270539 109931283 110937519 113767269 114808617 115502849 115917879 117406179 119677257 120400929 121502997 121939587 122676939 125742771 126957677 128119761 129049767 132274863 133074711 133552881 134360457 134775333 135590301 140321643 141340221 146272203 147156691 147611079 148503663 149037273 149938481 153685609 154237839 156218139 156590819 157727493 161669277 162646869 163231299 164725407 165721479 168927157 171096057 171710847 172749159 174330387 178777137 180413541 181061811 181504477 182156667 186708963 188064261 190933281 191619351 192778047 197595783 198305793 199504921 201331053 202792491 207860499 209117403 209868813 211137861 211789809 213070473 217192059 219180087 220505439 221297769 229856319 231960267 232793757 233362899 234201429 240054381 241505957 242373747 245485647 246071287 247857489 254051721 254964591 255587937 256506327 258854211 265456961 267886773 269831331 270475051 273947751 279246933 280935501 281802969 283506993 284525703 286246191 293399799 295529553 300038013 301116123 308641347 310507659 311623389 313507733 314475777 316377369 326637927 327417167 329793849 332812557 341301807 344425851 346508547 347753637 359031771 361202787 364508991 365818761 368030817 377228313 379509361 380873031 384359283 386683451 399224133 400658643 403081371 406770903 417146653 420964929 424020663 425032223 438816609 441470073 442833237 445510989 447111819 449815443 461056827 462713517 469772457 473182479 485007831 487940607 489693897 492655009 494176221 497164437 506781471 513288171 514512691 518247477 522991161 536331411 541240623 543185433 544513431 546470001 560126889 564192783 565538743 572799843 574858053 578334141 592787349 594917379 596371853 598514763 603993159 627352209 629606439 633413583 639211419 651576177 655516169 657540261 661516317 663893307 667907779 684599531 689568957 695880801 700088697 702604287 720163143 724517871 727121241 738213861 743572467 762155163 764893773 766763811 769518981 776562633 796370883 803660319 808519943 811425153 821843253 837740799 842806503 850520979 853577109 858738573 880199397 886588659 888703739 900114039 903348369 925924041 931522977 934870167 940523199 943427331 949132107 982251501 989381547 1023905421 1030096837 1033277553 1039525641 1043260911 1049569367 1075799263 1083608361 1093526973 1104092451 1131684939 1138528083 1142619093 1153077849 1160050353 1182490099 1197672399 1201975929 1209244113 1220312709 1251439959 1262894787 1270531339 1275096669 1316449827 1324410219 1336532967 1341335457 1349446329 1383170481 1388140551 1396534447 1409317371 1419547437 1455023493 1463821821 1469081691 1477965027 1482528663 1491493311 1520344413 1543538073 1554742431 1608994233 1618723601 1623721869 1629556299 1633540293 1639410003 1680380667 1690541699 1696616229 1718399529 1722499009 1735002423 1778362047 1784752137 1789115559 1795544289 1811979477 1858198727 1882056627 1888819317 1900240749 1917634257 1954728531 1966548507 1972620783 1984548951 1991679921 2003723337 2053798593 2068706871 2100266091 2107812861 2160489429 2173553613 2181363723 2194554131 2214641583 2230717401 2286465489 2300291433 2308556943 2329687899 2389112649 2410980957 2425559829 2434275459 2513222397 2528419509 2551562937 2560731327 2576215719 2640598191 2656565527 2666111217 2700342117 2706784157 2794568931 2804610501 2821569597 2847396321 2920026571 2946754503 2968144641 2975225561 3071716263 3090290511 3099832659 3118576923 3129782733 3148708101 3227397789 3250825083 3312277353 3395054817 3415584249 3427857279 3448585063 3459233547 3480151059 3547470297 3593017197 3601588837 3627732339 3660938127 3754319877 3788684361 3811594017 3825290007 3949349481 3973230657 4009598901 4024006371 4048338987 4149511443 4164421653 4174602971 4189603341 4227952113 4391465463 4407245073 4433895081 4474479933 4561033239 4588613183 4630614219 4664227293 4675354453 4826982699 4856170803 4871165607 4900620879 4918230009 5041142001 5071625097 5089848687 5167497027 5205007269 5335086141 5354256411 5367346677 5386632867 5435938431 5574596181 5646169881 5659639601 5700722247 5752902771 5864185593 5899645521 5953646853 5975039763 6011170011 6161395779 6206120613 6220926173 6300798273 6323438583 6481468287 6520660839 6544091169 6583662393 6643924749 6900874299 6925670829 7167337947 7210677859 7232942871 7276679487 7302826377 7346985569 7530594841 7585258527 7654688811 7728647157 7921794573 7969696581 7998333651 8120352471 8383706793 8413831503 8464708791 8542188963 8760079713 8840263509 8893719373 8925676683 9215148789 9270871533 9355730769 9389348199 9446124303 9682193367 9752475249 9775741129 9936832059 10185164451 10246752747 10283571837 10345755189 10377700641 10440453177 10642410891 10804766511 10883197017 11262959631 11331065207 11366053083 11434782051 11475870021 11833791893 11919691971 12028796703 12145016961 12448534329 12493264959 12523808913 12568810023 12683856339 13007391089 13174396389 13221735219 13301685243 13423439799 13683099717 13765839549 13891842657 14026063359 14480948097 14568512409 14701862637 14754690027 15123426003 15214875291 15269546061 15361878917 15502491081 15615021807 16005258423 16102040031 16159898601 16307815293 16723788543 16978918803 17102166741 17592556779 17698936563 17860940559 17925119289 18033510033 18484187337 18595958689 18662778519 18902394819 18947489099 19561982517 19632273507 19750987179 19931774247 20440185997 20702622897 20777012487 21502013841 21632033577 21698828613 21830038461 21908479131 22040956707 22591784523 22755775581 23185941471 23765383719 23909089743 23995000953 24140095441 24361057413 25151120379 25394126373 25626566889 26280239139 26520790527 26681158119 26777030049 27645446367 27812614599 28067192307 28168044597 28338372909 29046580101 29222220797 29327223387 30740258241 30850715511 31037265567 31321359531 31927232673 32120292281 32414299533 32649591051 32727481171 33788878893 33993195621 34098159249 34304346153 34427610063 35501375679 35759075913 36435050883 37345602987 37479794877 37571426739 37706430069 38051569017 39022173267 39523189167 39617477207 39905055729 40270319397 41049299151 41297518647 41675527971 42078190077 43442844291 43705537227 44105587911 44264070081 45370278009 45644625873 45808638183 46085636751 46507473243 48306120093 48479695803 50171365629 50474745013 50936756409 51306500223 51428898983 53096809689 53582821677 54100530099 55452562011 55787876067 55988335557 56842467297 58685947551 58896820521 59252961537 59795322741 61320557991 62107868691 62256035611 64506041523 64896100731 65490115383 65725437393 66122870121 67775353569 68267326743 68430187903 69557824413 71296151157 71727269229 71985002859 72420286323 73083172239 76182379119 78840717417 79317456449 79562371581 80043474357 80331090147 82836543251 83437843797 84201576921 85015118727 87139740303 87666662391 87981670161 92220774723 92552146533 93111796701 93964078593 95781698019 96360876843 97242898599 98182443513 101366636679 101979586863 102913038459 103282830189 106504127037 107277227739 107533152419 109305152649 112036808961 112714280217 113119290207 114154707051 117066519801 118852431621 119715167187 123147897453 123892555941 125026583913 126234570231 130171710823 131116611681 132316763733 136933877619 137425914549 138256910253 139522419729 143081301979 144918360279 145439087409 150514096887 151424235039 152810269227 154286696949 159290429067 162301590297 166357686033 167363628201 167965006671 168980668087 170527401891 176057842653 177758884611 179385968223 183961673973 186768106833 193518124569 194688302193 196470346149 197176312179 198368610363 203326060707 204555545579 205290563709 215181807687 215955008577 217260858969 219249516717 224842045967 228547137357 236522152251 237952369347 238687114743 240130423071 240993270441 248509629753 250313531391 255045356181 261419220909 262999987173 263945010483 276662324169 279335390103 281892235779 287345094057 289082630529 291728695797 294547330539 304099910037 305938760589 308739115377 309848490567 319512381111 322599457257 338142840651 339357870621 351199559403 353323215091 356557294863 359145501561 360002292881 371677667823 375079751739 378703710693 390515132469 393349835043 410801632857 412277743647 414770730759 418567259187 429243905937 434755080837 435792249277 451542290661 454272705117 458430807681 462860090847 477871287201 486904770891 499073058099 502090884603 503895020013 506942004261 511582205673 533276653833 551885021919 555222195143 560304320499 584064906579 589411038447 595105831089 609978182121 613666636737 615871691127 645545423061 647865025731 651782576907 657748550151 674526137901 709566456753 713857108041 720391269213 722979811323 745528889259 750940594173 752732066933 765136068543 784257662727 788999961519 791835031449 838006170309 862035282171 867247891587 875186087391 883641991617 911201975761 917816281767 926217346131 958537143333 967798371771 1014428521953 1018073611863 1053598678209 1059969645273 1069671884589 1080006878643 1115033003469 1136111132079 1171545397407 1180049505129 1182864676609 1232404898571 1244312192277 1255701777561 1287731717811 1307376747831 1354626871983 1362818115351 1375292423043 1388580272541 1431888819053 1506272653809 1511685060039 1520826012783 1534746617019 1573894321769 1599829961499 1655655065757 1665666585429 1680912961497 1752194719737 1785317493267 1829934546363 1840999910211 1847615073381 1936636269183 1955347730721 1973245650453 2023578413703 2128699370259 2141571324123 2161173807639 2168939433969 2236586667777 2258196200799 2366999884557 2375505094347 2473262505637 2514018510927 2601743674761 2625558262173 2650925974851 2733605927283 2753448845301 2875611429999 2903395115313 3043285565859 3160796034627 3179908935819 3209015653767 3240020635929 3345099010407 3408333396237 3514636192221 3548594029827 3732936576831 3863195153433 3886555366001 3922130243493 4088454346053 4125877269129 4165740817623 4295666457159 4518817961427 4535055180117 4562478038349 4604239851057 4721682965307 4966965197271 4996999756287 5042738884491 5256584159211 5355952479801 5489803639089 5522999730633 5542845220143 5866043192163 6070735241109 6424713972369 6483521422917 6709760003331 6774588602397 7100999653671 7126515283041 7419787516911 7805231024283 7952777924553 8200817781849 8260346535903 8280052736263 8626834289997 8710185345939 9482388103881 9539726807457 9627046961301 9720061907787 10023221733371 10543908576663 10645782089481 11198809730493 11589585460299 11659666098003 11766390730479 12265363038159 12497222452869 12886999371477 13556453884281 13687434115047 13812719553171 14165048895921 14900895591813 14990999268861 15128216653473 16568999191899 16628535660429 17312837539459 17598129576489 18212205723327 19274141917107 20129280009993 20323765807191 21302998961013 22259362550733 23415693072849 23858333773659 24602453345547 24840158208789 26130556037817 27205887562007 28619180422371 28881140883903 29160185723361 30069665200113 31631725729989 31937346268443 34768756380897 34978998294009 35299172191437 36796089114477 37491667358607 38660998114431 41062302345141 42495146687763 44972997806583 45384649960419 49706997575697 49885606981287 51938512618377 54636617169981 57822425751321 60387840029979 60971297421573 66778087652199 73807360036641 74520474626367 78391668113451 81617662686021 85857541267113 87480557170083 90208995600339 94895177189967 95812038805329 104306269142691 104936994882027 105897516574311 115982994343293 123186907035423 127485440063289 134918993419749 149120992727091 155815537855131 163909851509943 182913892264719 190441212934049 200334262956597 221422080109923 223561423879101 244852988058063 257572623801339 262441671510249 270626986801017 287436116415987 314810984646081 317692549722933 347948983029879 382456320189867 404756980259247 467446613565393 548741676794157 571323638802147 601002788869791 664266240329769 670684271637303 734558964174189 811880960403051 862308349247961 944432953938243 1043846949089637 1147368960569601 1402339840696179 1713970916406441 1803008366609373 2012052814911909 2203676892522567 2435642881209153 2833298861814729 4207019522088537 5141912749219323 6036158444735727 6611030677567701 7306928643627459 12621058566265611 15425738247657969 19833092032703103 46277214742973907 138831644228921721
- Sum of all divisors σ(n): 293944715622729360
- Sum of proper divisors (its aliquot sum) s(n): 155113071393807639
- 138831644228921721 is an abundant number, because the sum of its proper divisors (155113071393807639) is greater than itself. Its abundance is 16281427164885918
Bases of 138831644228921721
- Binary: 1111011010011101010100101000101011101100100101001011110012
- Hexadecimal: 0x1ED3AA515D92979
- Base-36: 11YZPKVZ2IK9
Squares and roots of 138831644228921721
- 138831644228921721 squared (1388316442289217212) is 19274225439305893799883802345601841
- 138831644228921721 cubed (1388316442289217213) is 2675872408977748313635161542723589388435614222488361
-
The
square root of 138831644228921721 is 372601186.5640281625 -
The
cube root of 138831644228921721 is 517800.9255611483
Scales and comparisons
How big is 138831644228921721?- 138,831,644,228,921,721 seconds is equal to 4,414,416,852 years, 3 days, 55 minutes, 21 seconds.
-
To count from 1 to 138,831,644,228,921,721 would take you about thirteen billion, two hundred forty-three million, two hundred fifty thousand, five hundred fifty-six 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 138831644228921721 cubic inches would be around 43150.1 feet tall.
Recreational maths with 138831644228921721
- 138831644228921721 backwards is 127129822446138831
- The number of decimal digits it has is: 18
- The sum of 138831644228921721's digits is 72
- 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 138831644228921721 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138831644228921721 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138831644228921721/
Chicago style:
Numbermatics. 2024. "Number 138831644228921721 - Facts about the integer". https://numbermatics.com/n/138831644228921721/
The information we have on file for 138831644228921721 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 138831644228921721, math, Factors of 138831644228921721, curriculum, school, college, exams, university, Prime factorization of 138831644228921721, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-one trillion, six hundred forty-four billion, two hundred twenty-eight million, nine hundred twenty-one thousand, seven hundred twenty-one.