138446420717961216
138,446,420,717,961,216 is an even composite number composed of seven prime numbers multiplied together.
138446420717961216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138446420717961216:
215 × 32 × 7 × 29 × 31 × 2411 × 30941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 31 × 2411 × 30941)See below for interesting mathematical facts about the number 138446420717961216 from the Numbermatics database.
Names of 138446420717961216
- Cardinal: 138446420717961216 can be written as One hundred thirty-eight quadrillion, four hundred forty-six trillion, four hundred twenty billion, seven hundred seventeen million, nine hundred sixty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38446420717961216 × 1017
Factors of 138446420717961216
Divisors of 138446420717961216
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 31 32 36 42 48 56 58 62 63 64 72 84 87 93 96 112 116 124 126 128 144 168 174 186 192 203 217 224 232 248 252 256 261 279 288 336 348 372 384 406 434 448 464 496 504 512 522 558 576 609 651 672 696 744 768 812 868 896 899 928 992 1008 1024 1044 1116 1152 1218 1302 1344 1392 1488 1536 1624 1736 1792 1798 1827 1856 1953 1984 2016 2048 2088 2232 2304 2411 2436 2604 2688 2697 2784 2976 3072 3248 3472 3584 3596 3654 3712 3906 3968 4032 4096 4176 4464 4608 4822 4872 5208 5376 5394 5568 5952 6144 6293 6496 6944 7168 7192 7233 7308 7424 7812 7936 8064 8091 8192 8352 8928 9216 9644 9744 10416 10752 10788 11136 11904 12288 12586 12992 13888 14336 14384 14466 14616 14848 15624 15872 16128 16182 16384 16704 16877 17856 18432 18879 19288 19488 20832 21504 21576 21699 22272 23808 24576 25172 25984 27776 28672 28768 28932 29232 29696 30941 31248 31744 32256 32364 32768 33408 33754 35712 36864 37758 38576 38976 41664 43008 43152 43398 44544 47616 49152 50344 50631 51968 55552 56637 57344 57536 57864 58464 59392 61882 62496 63488 64512 64728 66816 67508 69919 71424 73728 74741 75516 77152 77952 83328 86016 86304 86796 89088 92823 95232 98304 100688 101262 103936 111104 113274 114688 115072 115728 116928 118784 123764 124992 126976 129024 129456 133632 135016 139838 142848 147456 149482 151032 151893 154304 155904 166656 172032 172608 173592 178176 185646 190464 201376 202524 207872 209757 216587 222208 224223 226548 229376 230144 231456 233856 237568 247528 249984 253952 258048 258912 267264 270032 278469 279676 285696 294912 298964 302064 303786 308608 311808 333312 344064 345216 347184 356352 371292 380928 402752 405048 415744 419514 433174 444416 448446 453096 460288 462912 467712 475136 489433 495056 499968 507904 516096 517824 523187 534528 540064 556938 559352 571392 597928 604128 607572 617216 623616 629271 649761 666624 672669 688128 690432 694368 712704 742584 761856 805504 810096 831488 839028 866348 888832 896892 897289 906192 920576 925824 935424 950272 959171 978866 990112 999936 1015808 1032192 1035648 1046374 1069056 1080128 1113876 1118704 1142784 1195856 1208256 1215144 1234432 1247232 1258542 1299522 1333248 1345338 1380864 1388736 1425408 1468299 1485168 1523712 1569561 1611008 1620192 1662976 1678056 1732696 1777664 1793784 1794578 1812384 1841152 1851648 1870848 1918342 1949283 1957732 1980224 1999872 2064384 2071296 2092748 2138112 2160256 2167489 2227752 2237408 2285568 2391712 2416512 2430288 2468864 2494464 2517084 2599044 2666496 2690676 2691867 2761728 2777472 2850816 2877513 2936598 2970336 3047424 3139122 3222016 3240384 3325952 3356112 3465392 3555328 3587568 3589156 3624768 3682304 3703296 3741696 3836684 3898566 3915464 3960448 3999744 4142592 4185496 4276224 4320512 4334978 4404897 4455504 4474816 4571136 4708683 4783424 4833024 4860576 4937728 4988928 5034168 5198088 5332992 5381352 5383734 5523456 5554944 5755026 5873196 5940672 6278244 6281023 6444032 6480768 6502467 6651904 6712224 6714197 6930784 7110656 7175136 7178312 7249536 7364608 7406592 7483392 7673368 7797132 7830928 7920896 7999488 8075601 8285184 8370992 8552448 8632539 8641024 8669956 8809794 8911008 8949632 9142272 9417366 9566848 9666048 9721152 9875456 9977856 10068336 10396176 10665984 10762704 10767468 11046912 11109888 11510052 11746392 11881344 12556488 12562046 12888064 12961536 13004934 13424448 13428394 13861568 14350272 14356624 14499072 14729216 14813184 14966784 15172423 15346736 15594264 15661856 15841792 15998976 16151202 16570368 16741984 17265078 17282048 17339912 17619588 17822016 17899264 18834732 18843069 19133696 19332096 19442304 19507401 19750912 19955712 20136672 20142591 20792352 21331968 21525408 21534936 22093824 22219776 23020104 23492784 23762688 25112976 25124092 25776128 25923072 26009868 26848896 26856788 27723136 27815959 28700544 28713248 28998144 29458432 29626368 29933568 30344846 30693472 31188528 31323712 31683584 31997952 32302404 33140736 33483968 34530156 34564096 34679824 35239176 35644032 35798528 37669464 37686138 38267392 38664192 38884608 39014802 39501824 40273344 40285182 41584704 43050816 43069872 44187648 44439552 45517269 46040208 46985568 47525376 50225952 50248184 51552256 51846144 52019736 53697792 53713576 55446272 55631918 56529207 57401088 57426496 57996288 59252736 59867136 60427773 60689692 61386944 62377056 62647424 63367168 63995904 64604808 66281472 66967936 69060312 69128192 69359648 70478352 71288064 71597056 74598751 75338928 75372276 76534784 77328384 77769216 78029604 79003648 80546688 80570364 83169408 83447877 86101632 86139744 88375296 88879104 91034538 92080416 93971136 95050752 100451904 100496368 103104512 103692288 104039472 107395584 107427152 110892544 111263836 113058414 114802176 114852992 115992576 118505472 120855546 121379384 122773888 124754112 125294848 126734336 129209616 132562944 133935872 136551807 138120624 138256384 138719296 140956704 142576128 143194112 149197502 150677856 150744552 153069568 154656768 155538432 156059208 161093376 161140728 166338816 166895754 172203264 172279488 177758208 182069076 184160832 187942272 190101504 194711713 200903808 200992736 206209024 207384576 208078944 214791168 214854304 221785088 222527672 223796253 226116828 229604352 229705984 231985152 237010944 241711092 242758768 245547776 249508224 250343631 250589696 253468672 258419232 265125888 267871744 273103614 276241248 276512768 277438592 281913408 285152256 286388224 298395004 301355712 301489104 306139136 309313536 311076864 312118416 322186752 322281456 332677632 333791508 344406528 344558976 355516416 364138152 368321664 375884544 380203008 389423426 401807616 401985472 414769152 416157888 429582336 429708608 443570176 445055344 447592506 452233656 459208704 459411968 463970304 483422184 485517536 491095552 499016448 500687262 501179392 506937344 516838464 522191257 535743488 546207228 552482496 553025536 554877184 563826816 570304512 572776448 584135139 596790008 602711424 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2255307264 2281218048 2291105792 2312561281 2336540556 2387160032 2410845696 2411912832 2449113088 2488614912 2496947328 2577494016 2578251648 2661421056 2670332064 2685555036 2755252224 2756471808 2913105216 2946573312 3007076352 3041624064 3115387408 3133147542 3214460928 3215883776 3329263104 3436658688 3437668864 3504810834 3548561408 3560442752 3580740048 3617869248 3673669632 3675295744 3867377472 3884140288 3928764416 3992131584 4005498096 4009435136 4134707712 4177530056 4285947904 4326727558 4369657824 4419859968 4439017472 4510614528 4562436096 4625122562 4673081112 4699721313 4774320064 4821691392 4823825664 4977229824 4993894656 5154988032 5156503296 5322842112 5340664128 5371110072 5510504448 5512943616 5826210432 5893146624 6014152704 6230774816 6266295084 6428921856 6431767552 6490091337 6658526208 6873317376 6875337728 6937683843 7009621668 7097122816 7120885504 7161480096 7235738496 7347339264 7350591488 7734754944 7768280576 7857528832 7984263168 8010996192 8018870272 8269415424 8355060112 8571895808 8653455116 8739315648 8839719936 8878034944 9021229056 9124872192 9250245124 9346162224 9399442626 9548640128 9643382784 9647651328 9987789312 10309976064 10313006592 10645684224 10681328256 10742220144 11021008896 11025887232 11652420864 11786293248 12028305408 12461549632 12532590168 12857843712 12863535104 12980182674 13317052416 13750675456 13875367686 14019243336 14241771008 14322960192 14471476992 14701182976 15143546453 15469509888 15536561152 15715057664 15968526336 16021992384 16037740544 16187928967 16538830848 16710120224 17143791616 17306910232 17478631296 17679439872 17756069888 18042458112 18500490248 18692324448 18798885252 19097280256 19286765568 19295302656 19470274011 19975578624 20619952128 20626013184 20813051529 21291368448 21362656512 21484440288 22042017792 22051774464 23304841728 23572586496 24056610816 24923099264 25065180336 25715687424 25727070208 25960365348 26634104832 27501350912 27750735372 28038486672 28483542016 28645920384 28942953984 29402365952 30287092906 30939019776 31073122304 31430115328 31937052672 32043984768 32375857934 33077661696 33420240448 34613820464 34957262592 35358879744 35512139776 36084916224 37000980496 37384648896 37597770504 38194560512 38573531136 38590605312 38940548022 39951157248 41252026368 41626103058 42725313024 42968880576 44103548928 45430639359 46609683456 47145172992 48113221632 48563786901 49846198528 50130360672 51431374848 51454140416 51920730696 53268209664 55002701824 55501470744 56076973344 56967084032 57291840768 57885907968 60574185812 61878039552 62146244608 63874105344 64087969536 64751715868 66155323392 66840480896 67064277149 69227640928 69914525184 70717759488 71024279552 72169832448 74001960992 74769297792 75195541008 76389121024 77147062272 77181210624 77881096044 79902314496 82504052736 83252206116 85450626048 85937761152 88207097856 90861278718 93219366912 94290345984 97127573802 99692397056 100260721344 102908280832 103841461392 106536419328 110005403648 111002941488 112153946688 113934168064 114583681536 115771815936 121148371624 123756079104 124292489216 128175939072 129503431736 132310646784 133680961792 134128554298 136291918077 138455281856 139829050368 141435518976 144339664896 145691360703 148003921984 149538595584 150391082016 152778242048 154294124544 154362421248 155762192088 159804628992 165008105472 166504412232 170901252096 171875522304 181722557436 186438733824 194255147604 199384794112 200521442688 201192831447 205816561664 207682922784 213072838656 220010807296 222005882976 224307893376 227868336128 229167363072 231543631872 242296743248 247512158208 248584978432 256351878144 259006863472 264621293568 267361923584 268257108596 272583836154 276910563712 279658100736 282871037952 291382721406 296007843968 299077191168 300782164032 305556484096 308724842496 311524384176 319609257984 330016210944 333008824464 341802504192 343751044608 363445114872 372877467648 388510295208 398769588224 401042885376 402385662894 415365845568 444011765952 448615786752 455736672256 458334726144 463087263744 469449940043 484593486496 495024316416 497169956864 512703756288 518013726944 534723847168 536514217192 545167672308 553821127424 559316201472 582765442812 592015687936 598154382336 601564328064 603578494341 611112968192 617449684992 623048768352 639218515968 660032421888 666017648928 683605008384 687502089216 726890229744 745754935296 777020590416 797539176448 802085770752 804771325788 830731691136 888023531904 897231573504 911473344512 916669452288 926174527488 938899880086 969186972992 990048632832 1025407512576 1036027453888 1069447694336 1073028434384 1090335344616 1107642254848 1118632402944 1165530885624 1184031375872 1196308764672 1203128656128 1207156988682 1222225936384 1246097536704 1332035297856 1367210016768 1375004178432 1408349820129 1453780459488 1491509870592 1554041180832 1595078352896 1604171541504 1609542651576 1661463382272 1776047063808 1794463147008 1833338904576 1852349054976 1877799760172 1938373945984 1980097265664 2050815025152 2072054907776 2138895388672 2146056868768 2180670689232 2215284509696 2237264805888 2331061771248 2368062751744 2392617529344 2406257312256 2414313977364 2444451872768 2492195073408 2664070595712 2734420033536 2750008356864 2816699640258 2907560918976 3108082361664 3190156705792 3208343083008 3219085303152 3322926764544 3552094127616 3588926294016 3666677809152 3755599520344 3876747891968 4101630050304 4144109815552 4225049460387 4277790777344 4292113737536 4361341378464 4430569019392 4474529611776 4662123542496 4736125503488 4785235058688 4812514624512 4828627954728 4984390146816 5328141191424 5500016713728 5633399280516 5815121837952 6216164723328 6380313411584 6416686166016 6438170606304 6645853529088 7104188255232 7177852588032 7333355618304 7511199040688 7753495783936 8203260100608 8288219631104 8450098920774 8555581554688 8584227475072 8722682756928 8861138038784 9324247084992 9472251006976 9570470117376 9625029249024 9657255909456 9968780293632 10656282382848 11000033427456 11266798561032 11630243675904 12432329446656 12833372332032 12876341212608 13291707058176 14208376510464 14355705176064 15022398081376 15506991567872 16576439262208 16900197841548 17111163109376 17168454950144 17445365513856 17722276077568 18648494169984 18944502013952 19140940234752 19250058498048 19314511818912 19937560587264 21312564765696 22000066854912 22533597122064 23260487351808 24864658893312 25666744664064 25752682425216 26583414116352 28416753020928 28711410352128 30044796162752 31013983135744 33152878524416 33800395683096 34336909900288 34890731027712 35444552155136 37296988339968 37889004027904 38500116996096 38629023637824 39875121174528 42625129531392 45067194244128 46520974703616 49729317786624 51333489328128 51505364850432 53166828232704 56833506041856 57422820704256 60089592325504 62027966271488 66305757048832 67600791366192 68673819800576 69781462055424 70889104310272 74593976679936 75778008055808 77000233992192 77258047275648 79750242349056 85250259062784 90134388488256 93041949407232 99458635573248 103010729700864 106333656465408 113667012083712 120179184651008 124055932542976 132611514097664 135201582732384 137347639601152 139562924110848 149187953359872 154000467984384 154516094551296 159500484698112 170500518125568 180268776976512 186083898814464 198917271146496 206021459401728 212667312930816 227334024167424 240358369302016 248111865085952 265223028195328 270403165464768 274695279202304 279125848221696 298375906719744 309032189102592 319000969396224 341001036251136 360537553953024 372167797628928 397834542292992 412042918803456 480716738604032 496223730171904 530446056390656 540806330929536 549390558404608 558251696443392 596751813439488 618064378205184 638001938792448 682002072502272 721075107906048 744335595257856 795669084585984 824085837606912 961433477208064 1081612661859072 1098781116809216 1116503392886784 1193503626878976 1236128756410368 1442150215812096 1488671190515712 1591338169171968 1648171675213824 1922866954416128 2163225323718144 2197562233618432 2233006785773568 2387007253757952 2472257512820736 2884300431624192 3296343350427648 3845733908832256 4326450647436288 4466013571547136 4774014507515904 4944515025641472 5768600863248384 6592686700855296 7691467817664512 8652901294872576 9889030051282944 11537201726496768 15382935635329024 17305802589745152 19778060102565888 23074403452993536 34611605179490304 46148806905987072 69223210358980608 138446420717961216
- Sum of all divisors σ(n): 488318931174297600
- Sum of proper divisors (its aliquot sum) s(n): 349872510456336384
- 138446420717961216 is an abundant number, because the sum of its proper divisors (349872510456336384) is greater than itself. Its abundance is 211426089738375168
Bases of 138446420717961216
- Binary: 1111010111101110001001001001111110101000110000000000000002
- Hexadecimal: 0x1EBDC493F518000
- Base-36: 11V75RNETJ40
Squares and roots of 138446420717961216
- 138446420717961216 squared (1384464207179612162) is 19167411409614720623561747680198656
- 138446420717961216 cubed (1384464207179612163) is 2653659504089769652851550525659479427572126183325696
-
The
square root of 138446420717961216 is 372083889.3555608061 -
The
cube root of 138446420717961216 is 517321.5587015233
Scales and comparisons
How big is 138446420717961216?- 138,446,420,717,961,216 seconds is equal to 4,402,167,935 years, 48 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,446,420,717,961,216 would take you about thirteen billion, two hundred six million, five hundred three thousand, eight hundred seven 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 138446420717961216 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138446420717961216
- 138446420717961216 backwards is 612169717024644831
- 138446420717961216 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138446420717961216's digits is 72
- More coming soon!
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"Number 138446420717961216 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 138446420717961216 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138446420717961216/
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The information we have on file for 138446420717961216 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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