138122732338388343
138,122,732,338,388,343 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138122732338388343 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 864 divisors.
138122732338388343 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138122732338388343:
32 × 72 × 132 × 31 × 61 × 127 × 3571 × 2161
(3 × 3 × 7 × 7 × 13 × 13 × 31 × 61 × 127 × 3571 × 2161)See below for interesting mathematical facts about the number 138122732338388343 from the Numbermatics database.
Names of 138122732338388343
- Cardinal: 138122732338388343 can be written as One hundred thirty-eight quadrillion, one hundred twenty-two trillion, seven hundred thirty-two billion, three hundred thirty-eight million, three hundred eighty-eight thousand, three hundred forty-three.
Scientific notation
- Scientific notation: 1.38122732338388343 × 1017
Factors of 138122732338388343
Divisors of 138122732338388343
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 7 9 13 21 31 39 49 61 63 91 93 117 127 147 169 183 217 273 279 381 403 427 441 507 549 637 651 793 819 889 1143 1183 1209 1281 1519 1521 1651 1891 1911 1953 2161 2379 2667 2821 2989 3549 3571 3627 3843 3937 4557 4953 5239 5551 5673 5733 6223 6483 7137 7747 8001 8281 8463 8967 10309 10647 10713 11557 11811 13237 13671 14859 15127 15717 16653 17019 18669 19449 19747 21463 23241 24583 24843 24997 25389 26901 27559 28093 30927 32139 34671 35433 36673 38857 39711 45381 46423 47151 49959 51181 54229 56007 59241 64389 66991 69723 72163 73749 74529 74991 80899 82677 84279 92659 92781 100711 104013 105889 110019 110701 116571 119133 131821 136143 139269 150241 153543 162687 172081 174979 177723 192913 193167 196651 200973 216489 217831 221247 224973 240157 242697 248031 252837 256711 274447 277977 302133 317667 319579 324961 330057 332103 349713 358267 365209 379603 395463 417807 450723 453517 460629 468937 488061 505141 516243 524937 578739 589953 602919 603499 649467 653493 665353 704977 720471 728091 770133 774907 823341 833931 870883 906399 922747 953001 958737 974883 996309 1051687 1074801 1095627 1138809 1186389 1204567 1309243 1352169 1360551 1376557 1406811 1439113 1515423 1524817 1548729 1574811 1681099 1713673 1736217 1769859 1810497 1921129 1960479 1996059 2114931 2161413 2237053 2274727 2310399 2324721 2470023 2507869 2556463 2612649 2768241 2831803 2876211 2924649 3122041 3155061 3174619 3224403 3282559 3286881 3416427 3567811 3613701 3927729 4081653 4086451 4129671 4220433 4224493 4317339 4546269 4574451 4657471 4934839 5043297 5141019 5424349 5431491 5763387 5895721 5988177 6096181 6344793 6459229 6711159 6752761 6824181 6974163 7523607 7669389 7716931 7837947 8304723 8495409 8507857 9164701 9366123 9465183 9523857 9847677 10073791 10673719 10703433 10841103 11321479 11767693 11783187 11995711 12259353 12389013 12673479 12952017 13447903 13723353 13972413 14059027 14804517 15129891 15423057 15659371 16273047 16741267 17290161 17687163 17895241 18288543 18708469 19377687 19822621 20133477 20258283 20472543 21854287 22222333 22277749 22570821 23008167 23150793 24974677 25486227 25523571 27494103 27664537 28098369 28571571 28605157 29543031 29571451 30221373 32021157 32110299 32602297 33964437 35303079 35987133 36778059 36813439 38020437 40343709 40586533 41270047 41917239 42177081 42673267 44413551 46381543 46978113 47269327 48819141 50223801 53061489 53123863 53685723 54018517 54865629 56125407 58133061 59467863 59554999 60774849 64152907 65562861 66666999 66833247 69452379 70516537 74924031 76570713 76644373 79250353 82482309 82993611 83969977 85815471 87785893 88714353 90664119 96063471 97806891 98413189 100320103 101893311 105909237 107961399 110440317 110602141 117188869 121031127 121759599 123810141 126531243 128019801 130959283 138758347 139144629 140934339 141807981 150671403 152980009 155944243 159371589 161057169 162055551 168376221 174822739 178403589 178664997 182767351 192458721 193651759 196688583 200000997 200236099 200499741 211549611 217636471 224772093 229933119 237751059 239224861 248980833 251909931 257446413 257694073 263357679 266143059 284105731 288890329 293420673 295239567 300960309 324670801 330885289 331320951 331806423 351566607 359638981 365278797 371430423 371867041 378129619 384059403 392877849 416275041 416884993 417433887 425423943 458940027 467832729 470732791 478114767 486166653 518979277 524468217 535994991 536510611 548302053 554752471 577376163 580955277 600708297 614501251 634648833 652909413 688892323 689799357 690610219 702240721 713253177 717674583 755729793 773082219 774214987 790073037 820322083 852317193 857600647 866670987 885718701 902880927 916714981 974012403 980050237 992655867 995419269 1054699821 1078916943 1091609701 1115601123 1134388857 1141216609 1178633547 1248825123 1250654979 1279371457 1304161339 1355562313 1376820081 1403498187 1412198373 1437827833 1523455297 1556937831 1573404651 1609531833 1644906159 1664257413 1674574027 1742865831 1802124891 1803858511 1843503753 1958728239 1988740117 2066676969 2071830657 2106722163 2153023749 2272695607 2319246657 2322644961 2375975563 2460966249 2517472867 2556951579 2572801941 2600012961 2603069287 2750144943 2829274123 2922037209 2940150711 2977967601 3109923193 3236750829 3274829103 3295129537 3346803369 3403166571 3423649827 3632854939 3751964937 3755574277 3838114371 3912484017 4066686939 4236595119 4301508757 4313483499 4570365891 4670813493 4675306753 4828595499 4834271533 4915685047 4992772239 5023722081 5411575533 5419504909 5530511259 5966220351 6003204529 6119526283 6200030907 6215491971 6320166489 6746730601 6818086821 6860351659 6967934883 7127926689 7382898747 7552418601 7718405823 7809207861 7988516263 8250434829 8487822369 8820452133 8955600199 9129129373 9329769579 9824487309 9885388611 10064794831 10270949481 10664187079 10898564817 11148808411 11266722831 11514343113 11722018189 11737452051 12200060817 12740653081 12904526271 12940450497 13711097673 14025920259 14502814599 14592716521 14747055141 15071166243 16234726599 16258514727 16631828941 17622310069 17898661053 18009613587 18358578849 19804918861 20240191803 20454260463 20581054977 21383780067 21769462351 22657255803 23065906759 23427623583 23965548789 25429984573 25463467107 26866800597 27387388119 27989308737 29656165833 30194384493 30381557347 31992561237 32695694451 32727147271 33446425233 33800168493 33839900731 35166054567 38221959243 38713578813 40429001509 42022431703 42077760777 42836683981 43508443797 43778149563 44241165423 47227114207 48022461613 48775544181 49895486823 52866930207 54028840761 55075736547 55919613841 59414756583 59783064457 60720575409 61743164931 63903905611 65308387053 69197720277 70453563817 71896646367 76289953719 78041658877 79553841679 80600401791 82162164357 87707497813 89184571567 90583153479 91144672041 95977683711 98181441813 100339275699 101519702193 102149015647 105498163701 114665877729 116422802587 121287004527 126067295109 128510051943 131334448689 138634432027 141681342621 144067384839 144934509343 149686460469 152386236457 158600790621 165628490053 167758841523 178244269749 179349193371 189705314773 191711716833 195925161159 207593160831 211360691451 212670901429 228869861157 229090030897 234124976631 238661525037 263122493439 267553714701 273434016123 283003010563 294544325439 299856787867 304559106579 306447046941 330589799449 349268407761 363861013581 378201885327 385530155829 394960245511 415903296081 418481451199 425044027863 432202154517 434803528029 457158709371 496885470159 503276524569 538047580113 546291612139 556876891753 569115944319 575135150499 613952484691 624292000969 634082074353 638012704287 687270092691 702374929893 715043109529 715984575111 777179837941 789367480317 802661144103 849009031689 899570363601 919341140823 991769398347 1014541565401 1047805223283 1159399430371 1184880736533 1247709888243 1255444353597 1304410584087 1327937203411 1371476128113 1488696310003 1490656410477 1638874836417 1670630675259 1707347832957 1841857454073 1853274998167 1872876002907 1914038112861 1981021073941 2061810278073 2145129328587 2331539513823 2466169092049 2547027095067 2698711090803 2764721718577 2929370158393 2975308195041 3043624696203 3478198291113 3554642209599 3766333060791 3898138242271 3983811610233 4297667392837 4466088930009 4916624509251 5011892025777 5134483191643 5440258865587 5525572362219 5559824994501 5618628008721 5943063221823 6435387985761 6994618541469 7101790957807 7398507276147 8115796012597 8294165155731 8788110475179 9130874088609 9295560423877 10103337893233 10434594873339 11694414726813 11951434830699 12893002178511 12972924987169 13398266790027 15403449574929 16320776596761 16679474983503 17263183644343 17829189665469 19353052030039 21305372873421 22195521828441 24092574976171 24347388037791 24882495467193 26364331425537 27886681271631 30310013679699 35083244180439 35941382341501 38081812059109 38679006535533 38918774961507 46210348724787 48962329790283 51789550933029 58059156090117 63916118620263 70723365252631 72277724928513 73042164113373 83660043814893 90810474910183 90930041039097 107824147024503 114245436177327 116756324884521 120842285510401 155368652799087 168648024833197 174177468270351 212170095757893 216833174785539 251589676390507 272431424730549 313203474690223 323472441073509 342736308531981 362526856531203 495063556768417 505944074499591 636510287273679 754769029171521 817294274191647 939610424070669 1087580569593609 1180536173832379 1485190670305251 1517832223498773 2192424322831561 2264307087514563 2818831272212007 3541608521497137 4455572010915753 6577272968494683 10624825564491411 15346970259820927 19731818905484049 46040910779462781 138122732338388343
- Sum of all divisors σ(n): 265942700836061184
- Sum of proper divisors (its aliquot sum) s(n): 127819968497672841
- 138122732338388343 is a deficient number, because the sum of its proper divisors (127819968497672841) is less than itself. Its deficiency is 10302763840715502
Bases of 138122732338388343
- Binary: 1111010101011010111100100101011000110111110011101011101112
- Hexadecimal: 0x1EAB5E4AC6F9D77
- Base-36: 11S0F79F0BJR
Squares and roots of 138122732338388343
- 138122732338388343 squared (1381227323383883432) is 19077889188622068938732822678285649
- 138122732338388343 cubed (1381227323383883433) is 2635090181981478787785554447805939302090970845789607
-
The
square root of 138122732338388343 is 371648667.8818966829 -
The
cube root of 138122732338388343 is 516918.0773490861
Scales and comparisons
How big is 138122732338388343?- 138,122,732,338,388,343 seconds is equal to 4,391,875,646 years, 36 weeks, 2 days, 19 minutes, 3 seconds.
-
To count from 1 to 138,122,732,338,388,343 would take you about thirteen billion, one hundred seventy-five million, six hundred twenty-six thousand, nine hundred forty 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 138122732338388343 cubic inches would be around 43076.5 feet tall.
Recreational maths with 138122732338388343
- 138122732338388343 backwards is 343883833237221831
- The number of decimal digits it has is: 18
- The sum of 138122732338388343's digits is 72
- More coming soon!
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The information we have on file for 138122732338388343 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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