138822201648553472
138,822,201,648,553,472 is an even composite number composed of seven prime numbers multiplied together.
138822201648553472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138822201648553472:
29 × 72 × 17 × 31 × 41 × 73 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 31 × 41 × 73 × 1873 × 1873)See below for interesting mathematical facts about the number 138822201648553472 from the Numbermatics database.
Names of 138822201648553472
- Cardinal: 138822201648553472 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-two trillion, two hundred one billion, six hundred forty-eight million, five hundred fifty-three thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38822201648553472 × 1017
Factors of 138822201648553472
Divisors of 138822201648553472
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 31 32 34 41 49 56 62 64 68 73 82 98 112 119 124 128 136 146 164 196 217 224 238 248 256 272 287 292 328 392 434 448 476 496 511 512 527 544 574 584 656 697 784 833 868 896 952 992 1022 1054 1088 1148 1168 1241 1271 1312 1394 1519 1568 1666 1736 1792 1873 1904 1984 2009 2044 2108 2176 2263 2296 2336 2482 2542 2624 2788 2993 3038 3136 3332 3472 3577 3584 3689 3746 3808 3968 4018 4088 4216 4352 4526 4592 4672 4879 4964 5084 5248 5576 5986 6076 6272 6664 6944 7154 7378 7492 7616 7936 8036 8176 8432 8687 8704 8897 9052 9184 9344 9758 9928 10168 10496 11152 11972 12152 12544 13111 13328 13888 14308 14756 14984 15232 15841 15872 16072 16352 16864 17374 17794 18104 18368 18688 19516 19856 20336 20951 20992 21607 22304 23944 24304 25088 25823 26222 26656 27776 28616 29512 29968 30464 31682 31841 32144 32704 33728 34153 34748 35588 36208 36736 37376 38471 39032 39712 40672 41902 43214 44608 47888 48608 50881 51646 52444 53312 55552 57232 58063 59024 59936 60809 60928 62279 63364 63682 64288 65408 67456 68306 69496 71176 72416 73472 76793 76942 78064 79424 81344 83804 86428 89216 91777 92783 95776 97216 101762 103292 104888 106624 110887 111104 114464 116126 118048 119872 121618 124558 126728 127364 128576 130816 134912 136612 136729 138992 142352 144832 146657 146944 151249 153586 153884 156128 158848 162688 167608 172856 178432 183554 185566 191552 194432 203524 206584 209776 213248 221774 222887 228928 232252 236096 239744 243236 249116 253456 254728 257152 261632 269297 269824 273224 273458 277984 284704 289664 293314 302498 307172 307768 312256 317696 325376 335216 345712 356167 356864 367108 371132 383104 388864 406441 407048 413168 419552 426496 443548 445774 457856 464504 472192 479488 486472 498232 506912 509456 514304 537551 538594 546448 546916 555968 569408 579328 586628 604996 614344 615536 624512 635392 649481 650752 670432 691424 712334 734216 742264 766208 777728 812882 814096 826336 839104 887096 891548 915712 929008 944384 957103 958976 972944 987071 996464 1013824 1018912 1028608 1058743 1075102 1077188 1092896 1093832 1111936 1138816 1158656 1173256 1209992 1228688 1231072 1249024 1298962 1305481 1340864 1382848 1424668 1468432 1484528 1532416 1560209 1577311 1625764 1628192 1652672 1678208 1774192 1783096 1831424 1858016 1885079 1888768 1914206 1945888 1974142 1992928 2027648 2037824 2117486 2150204 2154376 2185792 2187664 2223872 2277632 2324393 2346512 2380583 2419984 2457376 2462144 2493169 2498048 2597924 2610962 2681728 2765696 2845087 2849336 2936864 2969056 3120418 3154622 3251528 3256384 3305344 3356416 3508129 3548384 3566192 3716032 3762857 3770158 3828412 3891776 3948284 3985856 4055296 4075648 4234972 4238599 4300408 4308752 4371584 4375328 4447744 4546367 4555264 4648786 4693024 4761166 4839968 4914752 4924288 4986338 5195848 5221924 5363456 5531392 5605889 5690174 5698672 5873728 5938112 6240836 6309244 6503056 6512768 6610688 6699721 6712832 6909497 7016258 7096768 7132384 7432064 7525714 7540316 7656824 7783552 7896568 7971712 8110592 8151296 8469944 8477198 8600816 8617504 8743168 8750656 9092734 9138367 9297572 9386048 9522332 9679936 9829504 9848576 9972676 10391696 10443848 10726912 11041177 11062784 11211778 11380348 11397344 11747456 11876224 12481672 12618488 13006112 13025536 13221376 13399442 13818994 14032516 14193536 14264768 14864128 15051428 15080632 15313648 15567104 15793136 15943424 16270751 16302592 16664081 16939888 16954396 17201632 17235008 17486336 17501312 18185468 18276734 18595144 18772096 19044664 19359872 19659008 19697152 19945352 20783392 20887696 22082354 22423556 22760696 22794688 23494912 23752448 24556903 24963344 25236976 26012224 26051072 26798884 27637988 28065032 28387072 28529536 29670193 29728256 30102856 30161264 30627296 31134208 31586272 31886848 32541502 33328162 33879776 33908792 34403264 34470016 35002624 36370936 36553468 37190288 37544192 38089328 38719744 39241223 39318016 39890704 40469911 41566784 41775392 44164708 44847112 45521392 45589376 46989824 47504896 48366479 49113806 49926688 50473952 52024448 53597768 55275976 56130064 56774144 57059072 59340386 59638193 60205712 60322528 61254592 63172544 63968569 65083004 66656324 67759552 67817584 68806528 68940032 70005248 72056183 72741872 73106936 74380576 75088384 76178656 77288239 77439488 78482446 79781408 80939822 83133568 83550784 88329416 89694224 91042784 91178752 95300113 96732958 98227612 99853376 100947904 104048896 107195536 108751999 110551952 112260128 113895257 114118144 116648567 118680772 119276386 120411424 120645056 122509184 126345088 127937138 130166008 133312648 135519104 135635168 137613056 137880064 143833289 144112366 145483744 146213872 148761152 152357312 154576478 156964892 159562816 161879644 166267136 167101568 171898321 173782559 176658832 179388448 182085568 182357504 190600226 193465916 196455224 199706752 201895808 207691351 208097792 214391072 217503998 221103904 224520256 227790514 233297134 237361544 238552772 240822848 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71341311344 72522080512 73498810679 73642643968 74715288592 75800143303 77854586432 78245309216 82720498084 83998640776 85261567216 85388901248 88011940352 88976670208 90590415167 93512686624 94537712096 97441791104 100388619464 103531903048 106337971712 106871641856 111144542978 112765298576 112984094944 114729850816 118322174912 119813129737 121900466492 124847294852 126913640896 127022334832 128874626944 129124679936 131119829504 134961230759 136245526256 136929291128 139314818848 140640543232 142682622688 144760871647 145044161024 146997621358 149430577184 151600286606 155709172864 156490618432 165440996168 167997281552 170523134432 170777802496 178497111649 181180830334 187025373248 189075424192 194883582208 200777238928 207063806096 213325816361 213743283712 218482765991 222289085956 225530597152 225968189888 229459701632 236644349824 239626259474 243800932984 249694589704 253827281792 254044669664 257749253888 258249359872 269922461518 272491052512 273858582256 278629637696 285365245376 289521743294 293995242716 298861154368 303200573212 311418345728 312981236864 325494733007 330881992336 335994563104 341046268864 341555604992 356994223298 362361660668 374050746496 378150848384 389005900423 389767164416 401554477856 414127612192 426651632722 436965531982 444578171912 451061194304 451936379776 458919403264 473288699648 479252518948 487601865968 499389179408 507654563584 508089339328 514491674753 515498507776 530601003121 539844923036 544982105024 547717164512 557259275392 570730490752 579043486588 587990485432 597722308736 606401146424 622836691456 625962473728 650989466014 661763984672 671989126208 682092537728 713988446596 724723321336 748101492992 756301696768 778011800846 803108955712 828255224384 853303265444 873931063964 889156343824 902122388608 903872759552 917838806528 944728615313 946577399296 958505037896 975203731936 998778358816 1015309127168 1016178678656 1028983349506 1061202006242 1079689846072 1089964210048 1095434329024 1114518550784 1141460981504 1158086973176 1175980970864 1195444617472 1212802292848 1249479781543 1251924947456 1301978932028 1323527969344 1343978252416 1364185075456 1427976893192 1449446642672 1496202985984 1512603393536 1556023601692 1606217911424 1656510448768 1706606530888 1747862127928 1778312687648 1804244777216 1807745519104 1889457230626 1917010075792 1950407463872 1997556717632 2032357357312 2057966699012 2122404012484 2159379692144 2179928420096 2190868658048 2229037101568 2278463131049 2282921963008 2316173946352 2351961941728 2390889234944 2425604585696 2498959563086 2603957864056 2647055938688 2687956504832 2728370150912 2855953786384 2898893285344 3112047203384 3212435822848 3313020897536 3413213061776 3495724255856 3556625375296 3608489554432 3714207021847 3778914461252 3834020151584 3900814927744 3995113435264 4064714714624 4115933398024 4244808024968 4318759384288 4359856840192 4381737316096 4556926262098 4632347892704 4703923883456 4851209171392 4997919126172 5207915728112 5294111877376 5375913009664 5533410461119 5711907572768 5797786570688 6224094406768 6424871645696 6613100307191 6626041795072 6826426123552 6991448511712 7113250750592 7428414043694 7557828922504 7668040303168 7801629855488 7990226870528 8231866796048 8489616049936 8637518768576 8746358470801 8763474632192 9113852524196 9264695785408 9407847766912 9702418342784 9995838252344 10415831456224 10588223754752 11066820922238 11423815145536 11595573141376 12448188813536 13226200614382 13652852247104 13982897023424 14226501501184 14856828087388 15115657845008 15336080606336 15603259710976 15949241917343 15980453741056 16463733592096 16979232099872 17275037537152 17492716941602 18227705048392 18529391570816 18815695533824 19404836685568 19991676504688 20831662912448 22133641844476 22847630291072 23191146282752 24896377627072 26452401228764 27305704494208 27965794046848 28453003002368 29713656174776 30231315690016 30672161212672 31898483834686 32927467184192 33958464199744 34550075074304 34985433883204 36455410096784 37058783141632 37631391067648 38733873227833 38809673371136 39983353009376 41663325824896 44267283688952 45695260582144 46382292565504 49792755254144 52904802457528 54611408988416 55931588093696 59427312349552 60462631380032 61344322425344 63796967669372 65854934368384 67916928399488 69100150148608 69970867766408 72910820193568 74117566283264 77467746455666 79966706018752 83326651649792 88534567377904 91390521164288 99585510508288 105809604915056 109222817976832 111863176187392 118854624699104 120925262760064 127593935338744 131709868736768 135833856798976 139941735532816 145821640387136 154935492911332 159933412037504 166653303299584 177069134755808 199171021016576 211619209830112 237709249398208 241850525520128 255187870677488 263419737473536 271137112594831 271667713597952 279883471065632 291643280774272 309870985822664 319866824075008 354138269511616 423238419660224 475418498796416 483701051040256 510375741354976 542274225189662 559766942131264 583286561548544 619741971645328 639733648150016 708276539023232 846476839320448 950836997592832 1020751482709952 1084548450379324 1119533884262528 1166573123097088 1239483943290656 1416553078046464 1692953678640896 1901673995185664 2041502965419904 2169096900758648 2239067768525056 2478967886581312 2833106156092928 3385907357281792 4083005930839808 4338193801517296 4478135537050112 4957935773162624 8166011861679616 8676387603034592 9915871546325248 17352775206069184 19831743092650496 34705550412138368 69411100824276736 138822201648553472
- Sum of all divisors σ(n): 366405066761336064
- Sum of proper divisors (its aliquot sum) s(n): 227582865112782592
- 138822201648553472 is an abundant number, because the sum of its proper divisors (227582865112782592) is greater than itself. Its abundance is 88760663464229120
Bases of 138822201648553472
- Binary: 1111011010011001000001110100100000011001100011110000000002
- Hexadecimal: 0x1ED320E90331E00
- Base-36: 11YWD30YIOE8
Squares and roots of 138822201648553472
- 138822201648553472 squared (1388222016485534722) is 19271603670551642319085350043254784
- 138822201648553472 cubed (1388222016485534723) is 2675326450844323342444384381205009953547824343810048
-
The
square root of 138822201648553472 is 372588515.1860608169 -
The
cube root of 138822201648553472 is 517789.1859520331
Scales and comparisons
How big is 138822201648553472?- 138,822,201,648,553,472 seconds is equal to 4,414,116,607 years, 8 weeks, 2 days, 9 hours, 44 minutes, 32 seconds.
-
To count from 1 to 138,822,201,648,553,472 would take you about thirteen billion, two hundred forty-two million, three hundred forty-nine thousand, eight hundred twenty-one 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 138822201648553472 cubic inches would be around 43149.1 feet tall.
Recreational maths with 138822201648553472
- 138822201648553472 backwards is 274355846102228831
- The number of decimal digits it has is: 18
- The sum of 138822201648553472's digits is 71
- More coming soon!
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"Number 138822201648553472 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138822201648553472 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138822201648553472/
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Numbermatics. 2024. "Number 138822201648553472 - Facts about the integer". https://numbermatics.com/n/138822201648553472/
The information we have on file for 138822201648553472 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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