138443305726326384576
138,443,305,726,326,384,576 is an even composite number composed of four prime numbers multiplied together.
What does the number 138443305726326384576 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 840 divisors.
138443305726326384576 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138443305726326384576:
26 × 32 × 139 × 2833
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 283 × 283 × 283)See below for interesting mathematical facts about the number 138443305726326384576 from the Numbermatics database.
Names of 138443305726326384576
- Cardinal: 138443305726326384576 can be written as One hundred thirty-eight quintillion, four hundred forty-three quadrillion, three hundred five trillion, seven hundred twenty-six billion, three hundred twenty-six million, three hundred eighty-four thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38443305726326384576 × 1020
Factors of 138443305726326384576
Divisors of 138443305726326384576
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 283 288 312 338 416 468 507 566 576 624 676 832 849 936 1014 1132 1248 1352 1521 1698 1872 2028 2197 2264 2496 2547 2704 3042 3396 3679 3744 4056 4394 4528 5094 5408 6084 6591 6792 7358 7488 8112 8788 9056 10188 10816 11037 12168 13182 13584 14716 16224 17576 18112 19773 20376 22074 24336 26364 27168 28561 29432 32448 33111 35152 39546 40752 44148 47827 48672 52728 54336 57122 58864 66222 70304 79092 80089 81504 85683 88296 95654 97344 105456 114244 117728 132444 140608 143481 158184 160178 163008 171366 176592 191308 210912 228488 235456 240267 257049 264888 286962 316368 320356 342732 353184 371293 382616 421824 430443 456976 480534 514098 529776 573924 621751 632736 640712 685464 706368 720801 742586 765232 860886 913952 961068 1028196 1041157 1059552 1113879 1147848 1243502 1265472 1281424 1370928 1441602 1485172 1530464 1721772 1827904 1865253 1922136 2056392 2082314 2119104 2227758 2295696 2487004 2562848 2741856 2883204 2970344 3060928 3123471 3341637 3443544 3730506 3844272 4112784 4164628 4455516 4591392 4826809 4974008 5125696 5483712 5595759 5766408 5940688 6246942 6683274 6887088 7461012 7688544 8082763 8225568 8329256 8911032 9182784 9370413 9653618 9948016 11191518 11532816 11881376 12493884 13366548 13535041 13774176 14480427 14922024 15377088 16165526 16451136 16658512 17822064 18740826 19307236 19896032 22383036 22665187 23065632 23762752 24248289 24987768 26733096 27070082 27548352 28960854 29844048 32331052 33317024 35644128 37481652 38614472 39792064 40605123 43441281 44766072 45330374 46131264 48496578 49975536 53466192 54140164 57921708 59688096 62748517 64662104 66634048 67995561 71288256 72744867 74963304 77228944 81210246 86882562 89532144 90660748 96993156 99951072 105075919 106932384 108280328 115843416 119376192 121815369 125497034 129324208 135991122 145489734 149926608 154457888 162420492 173765124 175955533 179064288 181321496 188245551 193986312 199902144 203986683 210151838 213864768 216560656 231686832 243630738 250994068 258648416 271982244 290979468 294647431 299853216 308915776 315227757 324840984 347530248 351911066 358128576 362642992 376491102 387972624 407973366 420303676 433121312 463373664 487261476 501988136 517296832 527866599 543964488 564736653 581958936 589294862 599706432 630455514 649681968 695060496 703822132 725285984 752982204 775945248 815730721 815946732 840607352 866242624 883942293 926747328 945683271 974522952 1003976272 1055733198 1087928976 1129473306 1163917872 1178589724 1260911028 1299363936 1365986947 1390120992 1407644264 1450571968 1505964408 1551890496 1583599797 1631461442 1631893464 1681214704 1767884586 1891366542 1949045904 2007952544 2111466396 2175857952 2258946612 2287421929 2327835744 2357179448 2447192163 2521822056 2598727872 2651826879 2731973894 2780241984 2815288528 3011928816 3167199594 3262922884 3263786928 3362429408 3535769172 3782733084 3830416603 3898091808 4015905088 4097960841 4222932792 4351715904 4517893224 4574843858 4655671488 4714358896 4894384326 5043644112 5303653758 5463947788 5630577056 6023857632 6334399188 6525845768 6527573856 6724858816 6862265787 7071538344 7341576489 7565466168 7660833206 7796183616 8195921682 8445865584 9035786448 9149687716 9428717792 9788768652 10087288224 10604499373 10607307516 10927895576 11261154112 11491249809 12047715264 12293882523 12668798376 13051691536 13055147712 13724531574 14143076688 14683152978 15130932336 15321666412 16391843364 16891731168 17757830311 18071572896 18299375432 18857435584 19577537304 20174576448 20586797361 21208998746 21214615032 21855791152 22982499618 24587765046 25337596752 26103383072 27449063148 28286153376 29366305956 29736485077 30261864672 30643332824 31813498119 32783686728 33783462336 34473749427 35515660622 36143145792 36598750864 39155074608 41173594722 42417997492 42429230064 43711582304 45964999236 49175530092 49795415839 50675193504 52206766144 53273490933 54898126296 56572306752 58732611912 59472970154 60523729344 61286665648 63626996238 65567373456 68947498854 71031321244 73197501728 78310149216 82347189444 84835994984 84858460128 87423164608 89209455231 91929998472 95440494357 98351060184 99590831678 101350387008 106546981866 109796252592 117465223824 118945940308 122573331296 127253992476 131134746912 137894997708 142062642488 146395003456 149386247517 156620298432 159820472799 164694378888 169671989968 169716920256 178418910462 183859996944 190880988714 196702120368 199181663356 213093963732 219592505184 230851794043 234930447648 237891880616 245146662592 254507984952 262269493824 267628365693 275789995416 284125284976 298772495034 319640945598 329388757776 339343979936 356837820924 367719993888 381761977428 386574306001 393404240736 398363326712 426187927464 439185010368 448158742551 461703588086 469860895296 475783761232 509015969904 535256731386 551579990832 568250569952 597544990068 639281891196 647340405907 658777515552 678687959872 692555382129 713675641848 735439987776 763523954856 773148612002 786808481472 796726653424 852375854928 896317485102 923407176172 951567522464 1018031939808 1070513462772 1103159981664 1136501139904 1159722918003 1195089980136 1278563782392 1294680811814 1317555031104 1385110764258 1427351283696 1527047909712 1546297224004 1593453306848 1704751709856 1792634970204 1846814352344 1903135044928 1942021217721 2036063879616 2077666146387 2141026925544 2206319963328 2319445836006 2390179960272 2557127564784 2589361623628 2770221528516 2854702567392 3001073322559 3054095819424 3092594448008 3186906613696 3409503419712 3479168754009 3585269940408 3693628704688 3884042435442 4155332292774 4282053851088 4638891672012 4780359920544 5025465978013 5114255129568 5178723247256 5540443057032 5709405134784 5826063653163 6002146645118 6108191638848 6185188896016 6958337508018 7170539880816 7387257409376 7768084870884 8310664585548 8415425276791 8564107702176 9003219967677 9277783344024 9560719841088 10050931956026 10228510259136 10357446494512 11080886114064 11652127306326 12004293290236 12370377792032 13916675016036 14341079761632 14774514818752 15076397934039 15536169741768 16621329171096 16830850553582 17128215404352 18006439935354 18555566688048 20101863912052 20714892989024 22161772228128 23304254612652 24008586580472 24740755584064 25246275830373 27009659903031 27833350032072 28682159523264 30152795868078 31072339483536 33242658342192 33661701107164 36012879870708 37111133376096 40203727824104 41429785978048 44323544456256 45229193802117 46608509225304 48017173160944 50492551660746 54019319806062 55666700064144 60305591736156 62144678967072 65331057714169 66485316684384 67323402214328 72025759741416 74222266752192 75738827491119 80407455648208 90458387604234 93217018450608 96034346321888 100985103321492 108038639612124 109400528598283 111333400128288 120611183472312 124289357934144 130662115428338 132970633368768 134646804428656 144051519482832 151477654982238 160814911296416 180916775208468 186434036901216 192068692643776 195993173142507 201970206642984 216077279224248 218801057196566 222666800256576 241222366944624 261324230856676 269293608857312 288103038965664 302955309964476 321629822592832 328201585794849 361833550416936 372868073802432 391986346285014 403940413285968 432154558448496 437602114393132 482444733889248 522648461713352 538587217714624 576206077931328 587979519427521 605910619928952 656403171589698 723667100833872 783972692570028 807880826571936 849303750284197 864309116896992 875204228786264 964889467778496 984604757384547 1045296923426704 1175959038855042 1211821239857904 1312806343179396 1422206871777679 1447334201667744 1567945385140056 1615761653143872 1698607500568394 1728618233793984 1750408457572528 1969209514769094 2090593846853408 2351918077710084 2423642479715808 2547911250852591 2625612686358792 2844413743555358 2894668403335488 3135890770280112 3397215001136788 3500816915145056 3938419029538188 4181187693706816 4266620615333037 4703836155420168 4847284959431616 5095822501705182 5251225372717584 5688827487110716 6271781540560224 6794430002273576 7001633830290112 7643733752557773 7876838059076376 8533241230666074 9407672310840336 10191645003410364 10502450745435168 11377654974221432 12543563081120448 12799861845999111 13588860004547152 15287467505115546 15753676118152752 17066482461332148 18488689333109827 18815344621680672 20383290006820728 21004901490870336 22755309948442864 25599723691998222 27177720009094304 30574935010231092 31507352236305504 34132964922664296 36977378666219654 37630689243361344 40766580013641456 45510619896885728 51199447383996444 54355440018188608 55466067999329481 61149870020462184 63014704472611008 68265929845328592 73954757332439308 81533160027282912 91021239793771456 102398894767992888 110932135998658962 122299740040924368 136531859690657184 147909514664878616 163066320054565824 166398203997988443 204797789535985776 221864271997317924 240352961330427751 244599480081848736 273063719381314368 295819029329757232 332796407995976886 409595579071971552 443728543994635848 480705922660855502 489198960163697472 591638058659514464 665592815991953772 721058883991283253 819191158143943104 887457087989271696 961411845321711004 1183276117319028928 1331185631983907544 1442117767982566506 1774914175978543392 1922823690643422008 2163176651973849759 2662371263967815088 2884235535965133012 3549828351957086784 3845647381286844016 4326353303947699518 5324742527935630176 5768471071930266024 7691294762573688032 8652706607895399036 10649485055871260352 11536942143860532048 15382589525147376064 17305413215790798072 23073884287721064096 34610826431581596144 46147768575442128192 69221652863163192288 138443305726326384576
- Sum of all divisors σ(n): 431415737919238312240
- Sum of proper divisors (its aliquot sum) s(n): 292972432192911927664
- 138443305726326384576 is an abundant number, because the sum of its proper divisors (292972432192911927664) is greater than itself. Its abundance is 154529126466585543088
Bases of 138443305726326384576
- Binary: 11110000001010010010110110100001101110101000111110010100111110000002
- Hexadecimal: 0x781496D0DD47CA7C0
- Base-36: T7TS81UX7MGG0
Squares and roots of 138443305726326384576
- 138443305726326384576 squared (1384433057263263845762) is 19166548900433075906354944291243450699776
- 138443305726326384576 cubed (1384433057263263845763) is 2653480389141241127442313214480386904122298521886799293054976
-
The
square root of 138443305726326384576 is 11766193340.5127414035 -
The
cube root of 138443305726326384576 is 5173176.7882653777
Scales and comparisons
How big is 138443305726326384576?- 138,443,305,726,326,384,576 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,443,305,726,326,384,576 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 138443305726326384576 cubic inches would be around 431098.1 feet tall.
Recreational maths with 138443305726326384576
- 138443305726326384576 backwards is 675483623627503344831
- The number of decimal digits it has is: 21
- The sum of 138443305726326384576's digits is 90
- More coming soon!
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The information we have on file for 138443305726326384576 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 138443305726326384576, math, Factors of 138443305726326384576, curriculum, school, college, exams, university, Prime factorization of 138443305726326384576, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred forty-three quadrillion, three hundred five trillion, seven hundred twenty-six billion, three hundred twenty-six million, three hundred eighty-four thousand, five hundred seventy-six.