138446307608297472
138,446,307,608,297,472 is an even composite number composed of five prime numbers multiplied together.
138446307608297472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty divisors.
Prime factorization of 138446307608297472:
216 × 34 × 72 × 53 × 31692
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 53 × 3169 × 3169)See below for interesting mathematical facts about the number 138446307608297472 from the Numbermatics database.
Names of 138446307608297472
- Cardinal: 138446307608297472 can be written as One hundred thirty-eight quadrillion, four hundred forty-six trillion, three hundred seven billion, six hundred eight million, two hundred ninety-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38446307608297472 × 1017
Factors of 138446307608297472
Divisors of 138446307608297472
- Number of divisors d(n): 1530
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 81 84 96 98 106 108 112 126 128 144 147 159 162 168 189 192 196 212 216 224 252 256 288 294 318 324 336 371 378 384 392 424 432 441 448 477 504 512 567 576 588 636 648 672 742 756 768 784 848 864 882 896 954 1008 1024 1113 1134 1152 1176 1272 1296 1323 1344 1431 1484 1512 1536 1568 1696 1728 1764 1792 1908 2016 2048 2226 2268 2304 2352 2544 2592 2597 2646 2688 2862 2968 3024 3072 3136 3169 3339 3392 3456 3528 3584 3816 3969 4032 4096 4293 4452 4536 4608 4704 5088 5184 5194 5292 5376 5724 5936 6048 6144 6272 6338 6678 6784 6912 7056 7168 7632 7791 7938 8064 8192 8586 8904 9072 9216 9408 9507 10017 10176 10368 10388 10584 10752 11448 11872 12096 12288 12544 12676 13356 13568 13824 14112 14336 15264 15582 15876 16128 16384 17172 17808 18144 18432 18816 19014 20034 20352 20736 20776 21168 21504 22183 22896 23373 23744 24192 24576 25088 25352 26712 27136 27648 28224 28521 28672 30051 30528 31164 31752 32256 32768 34344 35616 36288 36864 37632 38028 40068 40704 41472 41552 42336 43008 44366 45792 46746 47488 48384 49152 50176 50704 53424 54272 55296 56448 57042 57344 60102 61056 62328 63504 64512 65536 66549 68688 70119 71232 72576 73728 75264 76056 80136 81408 82944 83104 84672 85563 86016 88732 91584 93492 94976 96768 98304 100352 101408 106848 108544 110592 112896 114084 114688 120204 122112 124656 127008 129024 133098 137376 140238 142464 145152 147456 150528 152112 155281 160272 162816 165888 166208 167957 169344 171126 172032 177464 183168 186984 189952 193536 196608 199647 200704 202816 210357 213696 217088 221184 225792 228168 229376 240408 244224 249312 254016 256689 258048 266196 274752 280476 284928 290304 294912 301056 304224 310562 320544 325632 331776 332416 335914 338688 342252 344064 354928 366336 373968 379904 387072 399294 401408 405632 420714 427392 434176 442368 451584 456336 458752 465843 480816 488448 498624 503871 508032 513378 516096 532392 549504 560952 569856 580608 589824 598941 602112 608448 621124 641088 651264 663552 664832 671828 677376 684504 688128 709856 732672 747936 759808 774144 798588 802816 811264 841428 854784 868352 884736 903168 912672 931686 961632 976896 997248 1007742 1016064 1026756 1032192 1064784 1099008 1121904 1139712 1161216 1175699 1197882 1204224 1216896 1242248 1282176 1302528 1327104 1329664 1343656 1354752 1369008 1376256 1397529 1419712 1465344 1495872 1511613 1519616 1548288 1597176 1605632 1622528 1682856 1709568 1736704 1769472 1796823 1806336 1825344 1863372 1923264 1953792 1994496 2015484 2032128 2053512 2064384 2129568 2198016 2243808 2279424 2322432 2351398 2395764 2408448 2433792 2484496 2564352 2605056 2654208 2659328 2687312 2709504 2738016 2795058 2839424 2930688 2991744 3023226 3039232 3096576 3194352 3211264 3245056 3365712 3419136 3473408 3527097 3593646 3612672 3650688 3726744 3846528 3907584 3988992 4030968 4064256 4107024 4128768 4192587 4259136 4396032 4487616 4534839 4558848 4644864 4702796 4791528 4816896 4867584 4968992 5128704 5210112 5308416 5318656 5374624 5419008 5476032 5590116 5678848 5861376 5983488 6046452 6078464 6193152 6388704 6490112 6731424 6838272 7054194 7187292 7225344 7301376 7453488 7693056 7815168 7977984 8061936 8128512 8214048 8229893 8385174 8518272 8792064 8975232 9069678 9117696 9289728 9405592 9583056 9633792 9735168 9937984 10042561 10257408 10420224 10581291 10637312 10749248 10838016 10952064 11180232 11357696 11722752 11966976 12092904 12156928 12386304 12577761 12777408 12980224 13462848 13604517 13676544 14108388 14374584 14450688 14602752 14906976 15386112 15630336 15955968 16123872 16257024 16428096 16459786 16770348 17036544 17584128 17950464 18139356 18235392 18579456 18811184 19166112 19470336 19875968 20085122 20514816 21162582 21274624 21498496 21676032 21904128 22360464 22715392 23445504 23933952 24185808 24313856 24689679 25155522 25554816 25960448 26925696 27209034 27353088 28216776 28749168 28901376 29205504 29813952 30127683 30772224 31260672 31743873 31911936 32247744 32514048 32856192 32919572 33540696 34073088 35168256 35900928 36278712 36470784 37158912 37622368 38332224 38940672 39751936 40170244 41029632 42325164 42549248 42996992 43352064 43808256 44720928 45430784 46891008 47867904 48371616 49379358 50311044 51109632 51920896 53851392 54418068 54706176 56433552 57498336 58411008 59627904 60255366 61544448 63487746 63823872 64495488 65028096 65712384 65839144 67081392 68146176 70297927 70336512 71801856 72557424 72941568 74069037 75244736 76664448 77881344 79503872 80340488 82059264 84650328 85098496 85993984 86704128 87616512 89441856 90383049 90861568 93782016 95231619 95735808 96743232 98758716 100622088 102219264 103841792 107702784 108836136 109412352 112867104 114996672 116822016 119255808 120510732 123088896 126975492 127647744 128990976 130056192 131424768 131678288 134162784 136292352 140595854 140673024 143603712 145114848 148138074 150489472 153328896 155762688 159007744 160680976 164118528 169300656 170196992 171987968 175233024 178883712 180766098 181723136 190463238 191471616 193486464 197517432 201244176 204438528 207683584 210893781 215405568 217672272 218824704 222207111 225734208 229993344 233644032 238511616 241021464 246177792 253950984 255295488 257981952 260112384 262849536 263356576 268325568 271149147 272584704 281191708 281346048 287207424 290229696 296276148 300978944 306657792 311525376 318015488 321361952 328237056 338601312 343975936 350466048 357767424 361532196 363446272 380926476 382943232 386972928 395034864 402488352 408877056 421787562 430811136 435344544 444414222 451468416 459986688 467288064 477023232 482042928 492085489 492355584 507901968 510590976 515963904 525699072 526713152 532255733 536651136 542298294 545169408 562383416 574414848 580459392 592552296 601957888 613315584 623050752 632681343 636030976 642723904 656474112 666621333 677202624 687951872 700932096 715534848 723064392 726892544 761852952 765886464 773945856 790069728 804976704 813447441 817754112 843575124 861622272 870689088 888828444 902936832 919973376 934576128 954046464 964085856 984170978 984711168 1015803936 1031927808 1051398144 1053426304 1064511466 1073302272 1084596588 1090338816 1124766832 1148829696 1160918784 1185104592 1203915776 1226631168 1265362686 1272061952 1285447808 1333242666 1354405248 1375903744 1401864192 1431069696 1446128784 1453785088 1476256467 1523705904 1531772928 1547891712 1580139456 1596767199 1609953408 1626894882 1635508224 1687150248 1723244544 1741378176 1777656888 1805873664 1839946752 1869152256 1898044029 1908092928 1928171712 1968341956 1969422336 2031607872 2063855616 2102796288 2106852608 2129022932 2146604544 2169193176 2180677632 2249533664 2297659392 2321837568 2370209184 2407831552 2453262336 2530725372 2544123904 2570895616 2666485332 2708810496 2751807488 2803728384 2862139392 2892257568 2952512934 3047411808 3095783424 3160278912 3193534398 3219906816 3253789764 3271016448 3374300496 3446489088 3482756352 3555313776 3611747328 3679893504 3725790131 3796088058 3816185856 3856343424 3936683912 4063215744 4127711232 4205592576 4213705216 4258045864 4293209088 4338386352 4361355264 4428769401 4499067328 4595318784 4643675136 4740418368 4790301597 4815663104 4906524672 5061450744 5088247808 5141791232 5332970664 5417620992 5503614976 5607456768 5694132087 5724278784 5784515136 5905025868 6094823616 6191566848 6320557824 6387068796 6439813632 6507579528 6542032896 6748600992 6892978176 6965512704 7110627552 7223494656 7359787008 7451580262 7592176116 7632371712 7712686848 7873367824 8126431488 8255422464 8411185152 8427410432 8516091728 8586418176 8676772704 8857538802 8998134656 9287350272 9480836736 9580603194 9631326208 9813049344 10122901488 10176495616 10283582464 10665941328 10835241984 11007229952 11177370393 11388264174 11448557568 11569030272 11810051736 12189647232 12383133696 12641115648 12774137592 12879627264 13015159056 13084065792 13286308203 13497201984 13785956352 13931025408 14221255104 14370904791 14446989312 14719574016 14903160524 15184352232 15264743424 15425373696 15746735648 16252862976 16510844928 16822370304 16854820864 17032183456 17172836352 17353545408 17715077604 17996269312 18574700544 18961673472 19161206388 19262652416 19626098688 20245802976 20567164928 21331882656 21670483968 22354740786 22776528348 22897115136 23138060544 23620103472 24379294464 24766267392 25282231296 25548275184 25759254528 26030318112 26080530917 26572616406 26994403968 27862050816 28442510208 28741809582 28893978624 29439148032 29806321048 30368704464 30529486848 30850747392 31493471296 32505725952 33021689856 33532111179 33709641728 34064366912 34345672704 34707090816 35430155208 35992538624 37149401088 37923346944 38322412776 38525304832 39252197376 39858924609 40491605952 41134329856 42663765312 43112714373 43340967936 44709481572 45553056696 45794230272 46276121088 47240206944 48758588928 49532534784 50564462592 51096550368 51518509056 52060636224 52161061834 53145232812 53988807936 55724101632 56885020416 57483619164 57787957248 58878296064 59612642096 60737408928 61701494784 62986942592 65011451904 67064222358 67419283456 68128733824 68691345408 69414181632 70860310416 71985077248 74298802176 75846693888 76644825552 77050609664 78241592751 79717849218 80983211904 82268659712 85327530624 86225428746 86681935872 89418963144 91106113392 91588460544 92552242176 94480413888 97517177856 99065069568 100596333537 101128925184 102193100736 103037018112 104121272448 104322123668 106290465624 107977615872 111448203264 113770040832 114967238328 115575914496 117756592128 119225284192 121474817856 123402989568 125973885184 130022903808 134128444716 134838566912 136257467648 137382690816 138828363264 141720620832 143970154496 148597604352 151693387776 153289651104 156483185502 159435698436 161966423808 164537319424 170655061248 172450857492 173363871744 178837926288 182212226784 185104484352 188960827776 195034355712 201192667074 202257850368 204386201472 206074036224 208242544896 208644247336 212580931248 215955231744 222896406528 227540081664 229934476656 231151828992 234724778253 238450568384 242949635712 246805979136 251947770368 260045807616 268256889432 269677133824 272514935296 274765381632 277656726528 283441241664 287940308992 297195208704 301789000611 303386775552 306579302208 312966371004 318871396872 323932847616 329074638848 341310122496 344901714984 346727743488 357675852576 364424453568 370208968704 377921655552 390068711424 402385334148 404515700736 408772402944 412148072448 416485089792 417288494672 425161862496 431910463488 445792813056 455080163328 459868953312 469449556506 476901136768 485899271424 493611958272 503895540736 520091615232 536513778864 539354267648 545029870592 555313453056 566882483328 575880617984 603578001222 606773551104 613158604416 625932742008 637742793744 647865695232 658149277696 682620244992 689803429968 693455486976 704174334759 715351705152 728848907136 740417937408 755843311104 780137422848 804770668296 809031401472 817544805888 824296144896 832970179584 834576989344 850323724992 863820926976 891585626112 910160326656 919737906624 938899113012 953802273536 971798542848 987223916544 1007791081472 1040183230464 1073027557728 1090059741184 1110626906112 1133764966656 1151761235968 1207156002444 1213547102208 1226317208832 1251865484016 1275485587488 1295731390464 1365240489984 1379606859936 1408348669518 1430703410304 1457697814272 1480835874816 1511686622208 1560274845696 1609541336592 1618062802944 1635089611776 1665940359168 1669153978688 1700647449984 1727641853952 1820320653312 1839475813248 1877798226024 1907604547072 1943597085696 1974447833088 2015582162944 2080366460928 2112523004277 2146055115456 2180119482368 2221253812224 2267529933312 2303522471936 2414312004888 2427094204416 2452634417664 2503730968032 2550971174976 2591462780928 2730480979968 2759213719872 2816697339036 2861406820608 2915395628544 2961671749632 3023373244416 3120549691392 3219082673184 3270179223552 3331880718336 3338307957376 3401294899968 3455283707904 3640641306624 3678951626496 3755596452048 3815209094144 3887194171392 4031164325888 4225046008554 4292110230912 4360238964736 4442507624448 4535059866624 4607044943872 4828624009776 4854188408832 4905268835328 5007461936064 5101942349952 5182925561856 5460961959936 5518427439744 5633394678072 5722813641216 5830791257088 5923343499264 6046746488832 6241099382784 6438165346368 6540358447104 6663761436672 6676615914752 6802589799936 6910567415808 7281282613248 7357903252992 7511192904096 7630418188288 7774388342784 8062328651776 8450092017108 8584220461824 8720477929472 8885015248896 9070119733248 9657248019552 9810537670656 10014923872128 10203884699904 10365851123712 10921923919872 11036854879488 11266789356144 11445627282432 11661582514176 12093492977664 12876330692736 13080716894208 13327522873344 13353231829504 13605179599872 13821134831616 14562565226496 14715806505984 15022385808192 15260836376576 15548776685568 16124657303552 16900184034216 17168440923648 17440955858944 17770030497792 18140239466496 19314496039104 19621075341312 20029847744256 20407769399808 20731702247424 21843847839744 22073709758976 22533578712288 22891254564864 23323165028352 24186985955328 25752661385472 26161433788416 26655045746688 26706463659008 27210359199744 29431613011968 30044771616384 30521672753152 31097553371136 32249314607104 33800368068432 34336881847296 34881911717888 36280478932992 38628992078208 39242150682624 40059695488512 40815538799616 41463404494848 43687695679488 44147419517952 45067157424576 45782509129728 46646330056704 48373971910656 51505322770944 52322867576832 53310091493376 53412927318016 54420718399488 58863226023936 60089543232768 61043345506304 62195106742272 67600736136864 68673763694592 72560957865984 77257984156416 78484301365248 80119390977024 81631077599232 88294839035904 90134314849152 91565018259456 93292660113408 96747943821312 103010645541888 104645735153664 106825854636032 108841436798976 117726452047872 120179086465536 122086691012608 124390213484544 135201472273728 137347527389184 145121915731968 154515968312832 156968602730496 160238781954048 163262155198464 176589678071808 180268629698304 183130036518912 186585320226816 206021291083776 213651709272064 217682873597952 235452904095744 240358172931072 244173382025216 270402944547456 274695054778368 290243831463936 309031936625664 313937205460992 320477563908096 326524310396928 353179356143616 360537259396608 366260073037824 373170640453632 412042582167552 427303418544128 435365747195904 470905808191488 480716345862144 540805889094912 549390109556736 618063873251328 640955127816192 653048620793856 706358712287232 721074518793216 732520146075648 824085164335104 854606837088256 870731494391808 941811616382976 961432691724288 1081611778189824 1098780219113472 1236127746502656 1281910255632384 1306097241587712 1412717424574464 1442149037586432 1648170328670208 1709213674176512 1922865383448576 2163223556379648 2197560438226944 2472255493005312 2563820511264768 2612194483175424 2825434849148928 2884298075172864 3296340657340416 3845730766897152 4326447112759296 4944510986010624 5127641022529536 5768596150345728 6592681314680832 7691461533794304 8652894225518592 9889021972021248 11537192300691456 15382923067588608 17305788451037184 19778043944042496 23074384601382912 34611576902074368 46148769202765824 69223153804148736 138446307608297472
- Sum of all divisors σ(n): 490390607294632638
- Sum of proper divisors (its aliquot sum) s(n): 351944299686335166
- 138446307608297472 is an abundant number, because the sum of its proper divisors (351944299686335166) is greater than itself. Its abundance is 213497992078037694
Bases of 138446307608297472
- Binary: 1111010111101110000101110111010010111010100000000000000002
- Hexadecimal: 0x1EBDC2EE9750000
- Base-36: 11V74BOS8W00
Squares and roots of 138446307608297472
- 138446307608297472 squared (1384463076082974722) is 19167380090371326481697622441590784
- 138446307608297472 cubed (1384463076082974723) is 2653653000036705263918348357821885249664829565698048
-
The
square root of 138446307608297472 is 372083737.3606880337 -
The
cube root of 138446307608297472 is 517321.4178189031
Scales and comparisons
How big is 138446307608297472?- 138,446,307,608,297,472 seconds is equal to 4,402,164,339 years, 20 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,446,307,608,297,472 would take you about thirteen billion, two hundred six million, four hundred ninety-three thousand and eighteen 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 138446307608297472 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138446307608297472
- 138446307608297472 backwards is 274792806703644831
- 138446307608297472 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138446307608297472's digits is 81
- More coming soon!
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"Number 138446307608297472 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138446307608297472 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138446307608297472/
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The information we have on file for 138446307608297472 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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