138880481935491072
138,880,481,935,491,072 is an even composite number composed of five prime numbers multiplied together.
138880481935491072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred seventy-six divisors.
Prime factorization of 138880481935491072:
236 × 33 × 7 × 172 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 17 × 37)See below for interesting mathematical facts about the number 138880481935491072 from the Numbermatics database.
Names of 138880481935491072
- Cardinal: 138880481935491072 can be written as One hundred thirty-eight quadrillion, eight hundred eighty trillion, four hundred eighty-one billion, nine hundred thirty-five million, four hundred ninety-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38880481935491072 × 1017
Factors of 138880481935491072
Divisors of 138880481935491072
- Number of divisors d(n): 1776
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 37 42 48 51 54 56 63 64 68 72 74 84 96 102 108 111 112 119 126 128 136 144 148 153 168 189 192 204 216 222 224 238 252 256 259 272 288 289 296 306 333 336 357 378 384 408 432 444 448 459 476 504 512 518 544 576 578 592 612 629 666 672 714 756 768 777 816 864 867 888 896 918 952 999 1008 1024 1036 1071 1088 1152 1156 1184 1224 1258 1332 1344 1428 1512 1536 1554 1632 1728 1734 1776 1792 1836 1887 1904 1998 2016 2023 2048 2072 2142 2176 2304 2312 2331 2368 2448 2516 2601 2664 2688 2856 3024 3072 3108 3213 3264 3456 3468 3552 3584 3672 3774 3808 3996 4032 4046 4096 4144 4284 4352 4403 4608 4624 4662 4736 4896 5032 5202 5328 5376 5661 5712 6048 6069 6144 6216 6426 6528 6912 6936 6993 7104 7168 7344 7548 7616 7803 7992 8064 8092 8192 8288 8568 8704 8806 9216 9248 9324 9472 9792 10064 10404 10656 10693 10752 11322 11424 12096 12138 12288 12432 12852 13056 13209 13824 13872 13986 14208 14336 14688 15096 15232 15606 15984 16128 16184 16384 16576 16983 17136 17408 17612 18207 18432 18496 18648 18944 19584 20128 20808 21312 21386 21504 22644 22848 24192 24276 24576 24864 25704 26112 26418 27648 27744 27972 28416 28672 29376 30192 30464 31212 31968 32079 32256 32368 32768 33152 33966 34272 34816 35224 36414 36864 36992 37296 37888 39168 39627 40256 41616 42624 42772 43008 45288 45696 48384 48552 49152 49728 51408 52224 52836 54621 55296 55488 55944 56832 57344 58752 60384 60928 62424 63936 64158 64512 64736 65536 66304 67932 68544 69632 70448 72828 73728 73984 74592 74851 75776 78336 79254 80512 83232 85248 85544 86016 90576 91392 96237 96768 97104 98304 99456 102816 104448 105672 109242 110592 110976 111888 113664 114688 117504 118881 120768 121856 124848 127872 128316 129024 129472 131072 132608 135864 137088 139264 140896 145656 147456 147968 149184 149702 151552 156672 158508 161024 166464 170496 171088 172032 181152 182784 192474 193536 194208 196608 198912 205632 208896 211344 218484 221184 221952 223776 224553 227328 229376 235008 237762 241536 243712 249696 255744 256632 258048 258944 262144 265216 271728 274176 278528 281792 288711 291312 294912 295936 298368 299404 303104 313344 317016 322048 332928 340992 342176 344064 362304 365568 384948 387072 388416 393216 397824 411264 417792 422688 436968 442368 443904 447552 449106 454656 458752 470016 475524 483072 487424 499392 511488 513264 516096 517888 524288 530432 543456 548352 557056 563584 577422 582624 589824 591872 596736 598808 606208 626688 634032 644096 665856 673659 681984 684352 688128 724608 731136 769896 774144 776832 786432 795648 822528 835584 845376 873936 884736 887808 895104 898212 909312 917504 940032 951048 966144 974848 998784 1022976 1026528 1032192 1035776 1048576 1060864 1086912 1096704 1114112 1127168 1154844 1165248 1179648 1183744 1193472 1197616 1212416 1253376 1268064 1288192 1331712 1347318 1363968 1368704 1376256 1449216 1462272 1539792 1548288 1553664 1572864 1591296 1645056 1671168 1690752 1747872 1769472 1775616 1790208 1796424 1818624 1835008 1880064 1902096 1932288 1949696 1997568 2020977 2045952 2053056 2064384 2071552 2097152 2121728 2173824 2193408 2228224 2254336 2309688 2330496 2359296 2367488 2386944 2395232 2424832 2506752 2536128 2576384 2663424 2694636 2727936 2737408 2752512 2898432 2924544 3079584 3096576 3107328 3145728 3182592 3290112 3342336 3381504 3495744 3538944 3551232 3580416 3592848 3637248 3670016 3760128 3804192 3864576 3899392 3995136 4041954 4091904 4106112 4128768 4143104 4194304 4243456 4347648 4386816 4456448 4508672 4619376 4660992 4718592 4734976 4773888 4790464 4849664 5013504 5072256 5152768 5326848 5389272 5455872 5474816 5505024 5796864 5849088 6159168 6193152 6214656 6291456 6365184 6580224 6684672 6763008 6991488 7077888 7102464 7160832 7185696 7274496 7340032 7520256 7608384 7729152 7798784 7990272 8083908 8183808 8212224 8257536 8286208 8388608 8486912 8695296 8773632 8912896 9017344 9238752 9321984 9437184 9469952 9547776 9580928 9699328 10027008 10144512 10305536 10653696 10778544 10911744 10949632 11010048 11593728 11698176 12318336 12386304 12429312 12582912 12730368 13160448 13369344 13526016 13982976 14155776 14204928 14321664 14371392 14548992 14680064 15040512 15216768 15458304 15597568 15980544 16167816 16367616 16424448 16515072 16572416 16777216 16973824 17390592 17547264 17825792 18034688 18477504 18643968 18874368 18939904 19095552 19161856 19398656 20054016 20289024 20611072 21307392 21557088 21823488 21899264 22020096 23187456 23396352 24636672 24772608 24858624 25165824 25460736 26320896 26738688 27052032 27965952 28311552 28409856 28643328 28742784 29097984 29360128 30081024 30433536 30916608 31195136 31961088 32335632 32735232 32848896 33030144 33144832 33554432 33947648 34781184 35094528 35651584 36069376 36955008 37287936 37748736 37879808 38191104 38323712 38797312 40108032 40578048 41222144 42614784 43114176 43646976 43798528 44040192 46374912 46792704 49273344 49545216 49717248 50331648 50921472 52641792 53477376 54104064 55931904 56623104 56819712 57286656 57485568 58195968 58720256 60162048 60867072 61833216 62390272 63922176 64671264 65470464 65697792 66060288 66289664 67108864 67895296 69562368 70189056 71303168 72138752 73910016 74575872 75497472 75759616 76382208 76647424 77594624 80216064 81156096 82444288 85229568 86228352 87293952 87597056 88080384 92749824 93585408 98546688 99090432 99434496 100663296 101842944 105283584 106954752 108208128 111863808 113246208 113639424 114573312 114971136 116391936 117440512 120324096 121734144 123666432 124780544 127844352 129342528 130940928 131395584 132120576 132579328 134217728 135790592 139124736 140378112 142606336 144277504 147820032 149151744 150994944 151519232 152764416 153294848 155189248 160432128 162312192 164888576 170459136 172456704 174587904 175194112 176160768 185499648 187170816 197093376 198180864 198868992 201326592 203685888 210567168 213909504 216416256 223727616 226492416 227278848 229146624 229942272 232783872 234881024 240648192 243468288 247332864 249561088 255688704 258685056 261881856 262791168 264241152 265158656 268435456 271581184 278249472 280756224 285212672 288555008 295640064 298303488 301989888 303038464 305528832 306589696 310378496 320864256 324624384 329777152 340918272 344913408 349175808 350388224 352321536 370999296 374341632 394186752 396361728 397737984 402653184 407371776 421134336 427819008 432832512 447455232 452984832 454557696 458293248 459884544 465567744 469762048 481296384 486936576 494665728 499122176 511377408 517370112 523763712 525582336 528482304 530317312 536870912 543162368 556498944 561512448 570425344 577110016 591280128 596606976 603979776 606076928 611057664 613179392 620756992 641728512 649248768 659554304 681836544 689826816 698351616 700776448 704643072 741998592 748683264 788373504 792723456 795475968 805306368 814743552 842268672 855638016 865665024 894910464 905969664 909115392 916586496 919769088 931135488 939524096 962592768 973873152 989331456 998244352 1022754816 1034740224 1047527424 1051164672 1056964608 1060634624 1073741824 1086324736 1112997888 1123024896 1140850688 1154220032 1182560256 1193213952 1207959552 1212153856 1222115328 1226358784 1241513984 1283457024 1298497536 1319108608 1363673088 1379653632 1396703232 1401552896 1409286144 1483997184 1497366528 1576747008 1585446912 1590951936 1610612736 1629487104 1684537344 1711276032 1731330048 1789820928 1811939328 1818230784 1833172992 1839538176 1862270976 1879048192 1925185536 1947746304 1978662912 1996488704 2045509632 2069480448 2095054848 2102329344 2113929216 2121269248 2147483648 2172649472 2225995776 2246049792 2281701376 2308440064 2365120512 2386427904 2415919104 2424307712 2444230656 2452717568 2483027968 2566914048 2596995072 2638217216 2727346176 2759307264 2793406464 2803105792 2818572288 2967994368 2994733056 3153494016 3170893824 3181903872 3221225472 3258974208 3369074688 3422552064 3462660096 3579641856 3623878656 3636461568 3666345984 3679076352 3724541952 3758096384 3850371072 3895492608 3957325824 3992977408 4091019264 4138960896 4190109696 4204658688 4227858432 4242538496 4294967296 4345298944 4451991552 4492099584 4563402752 4616880128 4730241024 4772855808 4831838208 4848615424 4888461312 4905435136 4966055936 5133828096 5193990144 5276434432 5454692352 5518614528 5586812928 5606211584 5637144576 5935988736 5989466112 6306988032 6341787648 6363807744 6442450944 6517948416 6738149376 6845104128 6925320192 7159283712 7247757312 7272923136 7332691968 7358152704 7449083904 7516192768 7700742144 7790985216 7914651648 7985954816 8182038528 8277921792 8380219392 8409317376 8455716864 8485076992 8589934592 8690597888 8903983104 8984199168 9126805504 9233760256 9460482048 9545711616 9663676416 9697230848 9776922624 9810870272 9932111872 10267656192 10387980288 10552868864 10909384704 11037229056 11173625856 11212423168 11274289152 11871977472 11978932224 12613976064 12683575296 12727615488 12884901888 13035896832 13476298752 13690208256 13850640384 14318567424 14495514624 14545846272 14665383936 14716305408 14898167808 15032385536 15401484288 15581970432 15829303296 15971909632 16364077056 16555843584 16760438784 16818634752 16911433728 16970153984 17179869184 17381195776 17807966208 17968398336 18253611008 18467520512 18920964096 19091423232 19327352832 19394461696 19553845248 19621740544 19864223744 20535312384 20775960576 21105737728 21818769408 22074458112 22347251712 22424846336 22548578304 23743954944 23957864448 25227952128 25367150592 25455230976 25769803776 26071793664 26952597504 27380416512 27701280768 28637134848 28991029248 29091692544 29330767872 29432610816 29796335616 30064771072 30802968576 31163940864 31658606592 31943819264 32728154112 33111687168 33520877568 33637269504 33822867456 33940307968 34359738368 34762391552 35615932416 35936796672 36507222016 36935041024 37841928192 38182846464 38654705664 38788923392 39107690496 39243481088 39728447488 41070624768 41551921152 42211475456 43637538816 44148916224 44694503424 44849692672 45097156608 47487909888 47915728896 50455904256 50734301184 50910461952 51539607552 52143587328 53905195008 54760833024 55402561536 57274269696 57982058496 58183385088 58661535744 58865221632 59592671232 60129542144 61605937152 62327881728 63317213184 63887638528 65456308224 66223374336 67041755136 67274539008 67645734912 67880615936 68719476736 69524783104 71231864832 71873593344 73014444032 73870082048 75683856384 76365692928 77309411328 77577846784 78215380992 78486962176 79456894976 82141249536 83103842304 84422950912 87275077632 88297832448 89389006848 89699385344 90194313216 94975819776 95831457792 100911808512 101468602368 101820923904 103079215104 104287174656 107810390016 109521666048 110805123072 114548539392 115964116992 116366770176 117323071488 117730443264 119185342464 120259084288 123211874304 124655763456 126634426368 127775277056 130912616448 132446748672 134083510272 134549078016 135291469824 135761231872 139049566208 142463729664 143747186688 146028888064 147740164096 151367712768 152731385856 154618822656 155155693568 156430761984 156973924352 158913789952 164282499072 166207684608 168845901824 174550155264 176595664896 178778013696 179398770688 180388626432 189951639552 191662915584 201823617024 202937204736 203641847808 206158430208 208574349312 215620780032 219043332096 221610246144 229097078784 231928233984 232733540352 234646142976 235460886528 238370684928 240518168576 246423748608 249311526912 253268852736 255550554112 261825232896 264893497344 268167020544 269098156032 270582939648 271522463744 278099132416 284927459328 287494373376 292057776128 295480328192 302735425536 305462771712 309237645312 310311387136 312861523968 313947848704 317827579904 328564998144 332415369216 337691803648 349100310528 353191329792 357556027392 358797541376 360777252864 379903279104 383325831168 403647234048 405874409472 407283695616 417148698624 431241560064 438086664192 443220492288 458194157568 463856467968 465467080704 469292285952 470921773056 476741369856 481036337152 492847497216 498623053824 506537705472 511101108224 523650465792 529786994688 536334041088 538196312064 541165879296 543044927488 556198264832 569854918656 574988746752 584115552256 590960656384 605470851072 610925543424 618475290624 620622774272 625723047936 627895697408 635655159808 657129996288 664830738432 675383607296 698200621056 706382659584 715112054784 717595082752 721554505728 759806558208 766651662336 807294468096 811748818944 814567391232 834297397248 862483120128 876173328384 886440984576 916388315136 927712935936 930934161408 938584571904 941843546112 953482739712 985694994432 997246107648 1013075410944 1022202216448 1047300931584 1059573989376 1072668082176 1076392624128 1082331758592 1086089854976 1112396529664 1139709837312 1149977493504 1168231104512 1181921312768 1210941702144 1221851086848 1241245548544 1251446095872 1255791394816 1271310319616 1314259992576 1329661476864 1350767214592 1396401242112 1412765319168 1430224109568 1435190165504 1443109011456 1519613116416 1533303324672 1614588936192 1623497637888 1629134782464 1668594794496 1724966240256 1752346656768 1772881969152 1832776630272 1855425871872 1861868322816 1877169143808 1883687092224 1906965479424 1971389988864 1994492215296 2026150821888 2044404432896 2094601863168 2119147978752 2145336164352 2152785248256 2164663517184 2172179709952 2224793059328 2279419674624 2299954987008 2363842625536 2421883404288 2443702173696 2482491097088 2502892191744 2511582789632 2542620639232 2628519985152 2659322953728 2701534429184 2792802484224 2825530638336 2860448219136 2870380331008 3039226232832 3066606649344 3229177872384 3246995275776 3258269564928 3337189588992 3449932480512 3504693313536 3545763938304 3665553260544 3723736645632 3754338287616 3767374184448 3813930958848 3942779977728 3988984430592 4052301643776 4088808865792 4189203726336 4238295957504 4290672328704 4305570496512 4329327034368 4344359419904 4449586118656 4558839349248 4599909974016 4727685251072 4843766808576 4887404347392 4964982194176 5005784383488 5023165579264 5257039970304 5318645907456 5403068858368 5585604968448 5651061276672 5720896438272 5740760662016 6078452465664 6133213298688 6458355744768 6493990551552 6516539129856 6674379177984 6899864961024 7091527876608 7331106521088 7447473291264 7508676575232 7534748368896 7627861917696 7885559955456 7977968861184 8104603287552 8177617731584 8378407452672 8476591915008 8581344657408 8611140993024 8688718839808 8899172237312 9117678698496 9199819948032 9455370502144 9687533617152 9774808694784 9929964388352 10011568766976 10046331158528 10514079940608 10637291814912 10806137716736 11171209936896 11302122553344 11441792876544 11481521324032 12156904931328 12266426597376 12916711489536 12987981103104 13033078259712 13348758355968 13799729922048 14183055753216 14662213042176 14894946582528 15017353150464 15069496737792 15771119910912 15955937722368 16209206575104 16756814905344 16953183830016 17162689314816 17222281986048 17377437679616 17798344474624 18235357396992 18399639896064 18910741004288 19375067234304 19549617389568 19859928776704 20023137533952 20092662317056 21274583629824 21612275433472 22342419873792 22604245106688 22883585753088 22963042648064 24313809862656 24532853194752 25833422979072 26066156519424 26697516711936 27599459844096 28366111506432 29324426084352 29789893165056 30034706300928 30138993475584 31542239821824 31911875444736 32418413150208 33513629810688 33906367660032 34325378629632 34444563972096 34754875359232 36470714793984 36799279792128 37821482008576 38750134468608 39099234779136 40046275067904 40185324634112 42549167259648 43224550866944 44684839747584 45208490213376 45926085296128 48627619725312 51666845958144 52132313038848 53395033423872 55198919688192 56732223012864 58648852168704 59579786330112 60069412601856 60277986951168 63823750889472 64836826300416 67027259621376 67812735320064 68650757259264 68889127944192 69509750718464 72941429587968 73598559584256 75642964017152 77500268937216 78198469558272 80092550135808 80370649268224 85098334519296 89369679495168 90416980426752 91852170592256 97255239450624 103333691916288 104264626077696 110397839376384 113464446025728 117297704337408 120138825203712 120555973902336 127647501778944 129673652600832 134054519242752 135625470640128 137778255888384 139019501436928 145882859175936 151285928034304 155000537874432 156396939116544 160185100271616 160741298536448 170196669038592 178739358990336 180833960853504 183704341184512 194510478901248 206667383832576 208529252155392 220795678752768 226928892051456 234595408674816 240277650407424 241111947804672 255295003557888 268109038485504 271250941280256 275556511776768 291765718351872 302571856068608 310001075748864 312793878233088 321482597072896 340393338077184 361667921707008 367408682369024 389020957802496 413334767665152 417058504310784 453857784102912 469190817349632 480555300814848 482223895609344 510590007115776 536218076971008 542501882560512 551113023553536 583531436703744 620002151497728 625587756466176 642965194145792 680786676154368 723335843414016 734817364738048 826669535330304 907715568205824 938381634699264 964447791218688 1021180014231552 1085003765121024 1102226047107072 1167062873407488 1240004302995456 1251175512932352 1285930388291584 1361573352308736 1446671686828032 1653339070660608 1876763269398528 1928895582437376 2042360028463104 2170007530242048 2204452094214144 2480008605990912 2571860776583168 2723146704617472 2893343373656064 3306678141321216 3753526538797056 3857791164874752 4084720056926208 4340015060484096 4960017211981824 5143721553166336 5786686747312128 6613356282642432 7715582329749504 8169440113852416 8680030120968192 9920034423963648 11573373494624256 15431164659499008 17360060241936384 19840068847927296 23146746989248512 34720120483872768 46293493978497024 69440240967745536 138880481935491072
- Sum of all divisors σ(n): 513076105981659520
- Sum of proper divisors (its aliquot sum) s(n): 374195624046168448
- 138880481935491072 is an abundant number, because the sum of its proper divisors (374195624046168448) is greater than itself. Its abundance is 235315142110677376
Bases of 138880481935491072
- Binary: 1111011010110011100010000000000000000000000000000000000002
- Hexadecimal: 0x1ED671000000000
- Base-36: 11ZH0SMCLXC0
Squares and roots of 138880481935491072
- 138880481935491072 squared (1388804819354910722) is 19287788262634261976274809791709184
- 138880481935491072 cubed (1388804819354910723) is 2678697329384354348665799452170241664679625252405248
-
The
square root of 138880481935491072 is 372666716.9677097313 -
The
cube root of 138880481935491072 is 517861.6351712615
Scales and comparisons
How big is 138880481935491072?- 138,880,481,935,491,072 seconds is equal to 4,415,969,740 years, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,880,481,935,491,072 would take you about thirteen billion, two hundred forty-seven million, nine hundred nine thousand, two hundred twenty 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 138880481935491072 cubic inches would be around 43155.1 feet tall.
Recreational maths with 138880481935491072
- 138880481935491072 backwards is 270194539184088831
- The number of decimal digits it has is: 18
- The sum of 138880481935491072's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138880481935491072 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 138880481935491072 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138880481935491072/
Chicago style:
Numbermatics. 2024. "Number 138880481935491072 - Facts about the integer". https://numbermatics.com/n/138880481935491072/
The information we have on file for 138880481935491072 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 138880481935491072, math, Factors of 138880481935491072, curriculum, school, college, exams, university, Prime factorization of 138880481935491072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred eighty trillion, four hundred eighty-one billion, nine hundred thirty-five million, four hundred ninety-one thousand and seventy-two.