138316432470441984
138,316,432,470,441,984 is an even composite number composed of four prime numbers multiplied together.
What does the number 138316432470441984 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1036 divisors.
138316432470441984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and thirty-six divisors.
Prime factorization of 138316432470441984:
236 × 36 × 11 × 251
(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 × 3 × 3 × 3 × 11 × 251)See below for interesting mathematical facts about the number 138316432470441984 from the Numbermatics database.
Names of 138316432470441984
- Cardinal: 138316432470441984 can be written as One hundred thirty-eight quadrillion, three hundred sixteen trillion, four hundred thirty-two billion, four hundred seventy million, four hundred forty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38316432470441984 × 1017
Factors of 138316432470441984
Divisors of 138316432470441984
- Number of divisors d(n): 1036
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 243 251 256 264 288 297 324 352 384 396 432 486 502 512 528 576 594 648 704 729 753 768 792 864 891 972 1004 1024 1056 1152 1188 1296 1408 1458 1506 1536 1584 1728 1782 1944 2008 2048 2112 2259 2304 2376 2592 2673 2761 2816 2916 3012 3072 3168 3456 3564 3888 4016 4096 4224 4518 4608 4752 5184 5346 5522 5632 5832 6024 6144 6336 6777 6912 7128 7776 8019 8032 8192 8283 8448 9036 9216 9504 10368 10692 11044 11264 11664 12048 12288 12672 13554 13824 14256 15552 16038 16064 16384 16566 16896 18072 18432 19008 20331 20736 21384 22088 22528 23328 24096 24576 24849 25344 27108 27648 28512 31104 32076 32128 32768 33132 33792 36144 36864 38016 40662 41472 42768 44176 45056 46656 48192 49152 49698 50688 54216 55296 57024 60993 62208 64152 64256 65536 66264 67584 72288 73728 74547 76032 81324 82944 85536 88352 90112 93312 96384 98304 99396 101376 108432 110592 114048 121986 124416 128304 128512 131072 132528 135168 144576 147456 149094 152064 162648 165888 171072 176704 180224 182979 186624 192768 196608 198792 202752 216864 221184 223641 228096 243972 248832 256608 257024 262144 265056 270336 289152 294912 298188 304128 325296 331776 342144 353408 360448 365958 373248 385536 393216 397584 405504 433728 442368 447282 456192 487944 497664 513216 514048 524288 530112 540672 578304 589824 596376 608256 650592 663552 670923 684288 706816 720896 731916 746496 771072 786432 795168 811008 867456 884736 894564 912384 975888 995328 1026432 1028096 1048576 1060224 1081344 1156608 1179648 1192752 1216512 1301184 1327104 1341846 1368576 1413632 1441792 1463832 1492992 1542144 1572864 1590336 1622016 1734912 1769472 1789128 1824768 1951776 1990656 2012769 2052864 2056192 2097152 2120448 2162688 2313216 2359296 2385504 2433024 2602368 2654208 2683692 2737152 2827264 2883584 2927664 2985984 3084288 3145728 3180672 3244032 3469824 3538944 3578256 3649536 3903552 3981312 4025538 4105728 4112384 4194304 4240896 4325376 4626432 4718592 4771008 4866048 5204736 5308416 5367384 5474304 5654528 5767168 5855328 5971968 6168576 6291456 6361344 6488064 6939648 7077888 7156512 7299072 7807104 7962624 8051076 8211456 8224768 8388608 8481792 8650752 9252864 9437184 9542016 9732096 10409472 10616832 10734768 10948608 11309056 11534336 11710656 11943936 12337152 12582912 12722688 12976128 13879296 14155776 14313024 14598144 15614208 15925248 16102152 16422912 16449536 16777216 16963584 17301504 18505728 18874368 19084032 19464192 20818944 21233664 21469536 21897216 22618112 23068672 23421312 23887872 24674304 25165824 25445376 25952256 27758592 28311552 28626048 29196288 31228416 31850496 32204304 32845824 32899072 33554432 33927168 34603008 37011456 37748736 38168064 38928384 41637888 42467328 42939072 43794432 45236224 46137344 46842624 47775744 49348608 50331648 50890752 51904512 55517184 56623104 57252096 58392576 62456832 63700992 64408608 65691648 65798144 67108864 67854336 69206016 74022912 75497472 76336128 77856768 83275776 84934656 85878144 87588864 90472448 92274688 93685248 95551488 98697216 100663296 101781504 103809024 111034368 113246208 114504192 116785152 124913664 127401984 128817216 131383296 131596288 134217728 135708672 138412032 148045824 150994944 152672256 155713536 166551552 169869312 171756288 175177728 180944896 184549376 187370496 191102976 197394432 201326592 203563008 207618048 222068736 226492416 229008384 233570304 249827328 254803968 257634432 262766592 263192576 268435456 271417344 276824064 296091648 301989888 305344512 311427072 333103104 339738624 343512576 350355456 361889792 369098752 374740992 382205952 394788864 402653184 407126016 415236096 444137472 452984832 458016768 467140608 499654656 509607936 515268864 525533184 526385152 536870912 542834688 553648128 592183296 603979776 610689024 622854144 666206208 679477248 687025152 700710912 723779584 738197504 749481984 764411904 789577728 805306368 814252032 830472192 888274944 905969664 916033536 934281216 999309312 1019215872 1030537728 1051066368 1052770304 1073741824 1085669376 1107296256 1184366592 1207959552 1221378048 1245708288 1332412416 1358954496 1374050304 1401421824 1447559168 1476395008 1498963968 1528823808 1579155456 1610612736 1628504064 1660944384 1776549888 1811939328 1832067072 1868562432 1998618624 2038431744 2061075456 2102132736 2105540608 2147483648 2171338752 2214592512 2368733184 2415919104 2442756096 2491416576 2664824832 2717908992 2748100608 2802843648 2895118336 2952790016 2997927936 3057647616 3158310912 3221225472 3257008128 3321888768 3553099776 3623878656 3664134144 3737124864 3997237248 4076863488 4122150912 4204265472 4211081216 4294967296 4342677504 4429185024 4737466368 4831838208 4885512192 4982833152 5329649664 5435817984 5496201216 5605687296 5790236672 5905580032 5995855872 6115295232 6316621824 6442450944 6514016256 6643777536 7106199552 7247757312 7328268288 7474249728 7994474496 8153726976 8244301824 8408530944 8422162432 8589934592 8685355008 8858370048 9474932736 9663676416 9771024384 9965666304 10659299328 10871635968 10992402432 11211374592 11580473344 11811160064 11991711744 12230590464 12633243648 12884901888 13028032512 13287555072 14212399104 14495514624 14656536576 14948499456 15988948992 16307453952 16488603648 16817061888 16844324864 17179869184 17370710016 17716740096 18949865472 19327352832 19542048768 19931332608 21318598656 21743271936 21984804864 22422749184 23160946688 23622320128 23983423488 24461180928 25266487296 25769803776 26056065024 26575110144 28424798208 28991029248 29313073152 29896998912 31977897984 32614907904 32977207296 33634123776 33688649728 34359738368 34741420032 35433480192 37899730944 38654705664 39084097536 39862665216 42637197312 43486543872 43969609728 44845498368 46321893376 47244640256 47966846976 48922361856 50532974592 51539607552 52112130048 53150220288 56849596416 57982058496 58626146304 59793997824 63955795968 65229815808 65954414592 67268247552 67377299456 68719476736 69482840064 70866960384 75799461888 77309411328 78168195072 79725330432 85274394624 86973087744 87939219456 89690996736 92643786752 94489280512 95933693952 97844723712 101065949184 103079215104 104224260096 106300440576 113699192832 115964116992 117252292608 119587995648 127911591936 130459631616 131908829184 134536495104 134754598912 138965680128 141733920768 151598923776 154618822656 156336390144 159450660864 170548789248 173946175488 175878438912 179381993472 185287573504 188978561024 191867387904 195689447424 202131898368 206158430208 208448520192 212600881152 227398385664 231928233984 234504585216 239175991296 255823183872 260919263232 263817658368 269072990208 269509197824 277931360256 283467841536 303197847552 309237645312 312672780288 318901321728 341097578496 347892350976 351756877824 358763986944 370575147008 377957122048 383734775808 391378894848 404263796736 416897040384 425201762304 454796771328 463856467968 469009170432 478351982592 511646367744 521838526464 527635316736 538145980416 539018395648 555862720512 566935683072 606395695104 618475290624 625345560576 637802643456 682195156992 695784701952 703513755648 717527973888 741150294016 755914244096 767469551616 782757789696 808527593472 833794080768 850403524608 909593542656 927712935936 938018340864 956703965184 1023292735488 1043677052928 1055270633472 1076291960832 1078036791296 1111725441024 1133871366144 1212791390208 1250691121152 1275605286912 1364390313984 1391569403904 1407027511296 1435055947776 1482300588032 1534939103232 1565515579392 1617055186944 1667588161536 1700807049216 1819187085312 1855425871872 1876036681728 1913407930368 2046585470976 2087354105856 2110541266944 2152583921664 2156073582592 2223450882048 2267742732288 2425582780416 2501382242304 2551210573824 2728780627968 2783138807808 2814055022592 2870111895552 2964601176064 3069878206464 3131031158784 3234110373888 3335176323072 3401614098432 3638374170624 3752073363456 3826815860736 4093170941952 4174708211712 4221082533888 4305167843328 4312147165184 4446901764096 4851165560832 5002764484608 5102421147648 5457561255936 5566277615616 5628110045184 5740223791104 5929202352128 6139756412928 6262062317568 6468220747776 6670352646144 6803228196864 7276748341248 7504146726912 7653631721472 8186341883904 8349416423424 8442165067776 8610335686656 8624294330368 8893803528192 9702331121664 10005528969216 10204842295296 10915122511872 11256220090368 11480447582208 11858404704256 12279512825856 12524124635136 12936441495552 13340705292288 14553496682496 15008293453824 15307263442944 16372683767808 16698832846848 16884330135552 17220671373312 17248588660736 17787607056384 19404662243328 20011057938432 20409684590592 21830245023744 22512440180736 22960895164416 23716809408512 24559025651712 25048249270272 25872882991104 26681410584576 29106993364992 30016586907648 30614526885888 32745367535616 33768660271104 34441342746624 35575214112768 38809324486656 40022115876864 43660490047488 45024880361472 45921790328832 47433618817024 49118051303424 50096498540544 51745765982208 53362821169152 58213986729984 60033173815296 61229053771776 65490735071232 67537320542208 68882685493248 71150428225536 77618648973312 80044231753728 87320980094976 90049760722944 91843580657664 94867237634048 98236102606848 106725642338304 116427973459968 120066347630592 130981470142464 135074641084416 137765370986496 142300856451072 155237297946624 160088463507456 174641960189952 180099521445888 183687161315328 189734475268096 196472205213696 213451284676608 232855946919936 240132695261184 261962940284928 270149282168832 275530741972992 284601712902144 320176927014912 349283920379904 360199042891776 392944410427392 426902569353216 465711893839872 480265390522368 523925880569856 540298564337664 551061483945984 569203425804288 640353854029824 698567840759808 720398085783552 785888820854784 853805138706432 960530781044736 1047851761139712 1080597128675328 1280707708059648 1397135681519616 1440796171567104 1571777641709568 1707610277412864 1921061562089472 2095703522279424 2161194257350656 2561415416119296 2881592343134208 3143555283419136 3842123124178944 4191407044558848 4322388514701312 5122830832238592 5763184686268416 6287110566838272 7684246248357888 8644777029402624 11526369372536832 12574221133676544 15368492496715776 17289554058805248 23052738745073664 34579108117610496 46105477490147328 69158216235220992 138316432470441984
- Sum of all divisors σ(n): 454267627058860272
- Sum of proper divisors (its aliquot sum) s(n): 315951194588418288
- 138316432470441984 is an abundant number, because the sum of its proper divisors (315951194588418288) is greater than itself. Its abundance is 177634762117976304
Bases of 138316432470441984
- Binary: 1111010110110011000010000000000000000000000000000000000002
- Hexadecimal: 0x1EB661000000000
- Base-36: 11TX2ZVGG000
Squares and roots of 138316432470441984
- 138316432470441984 squared (1383164324704419842) is 19131435491350337601077836309856256
- 138316432470441984 cubed (1383164324704419843) is 2646191905201976028295393332780221614834607827451904
-
The
square root of 138316432470441984 is 371909172.3397555357 -
The
cube root of 138316432470441984 is 517159.6024750127
Scales and comparisons
How big is 138316432470441984?- 138,316,432,470,441,984 seconds is equal to 4,398,034,711 years, 38 weeks, 4 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,316,432,470,441,984 would take you about thirteen billion, one hundred ninety-four million, one hundred four thousand, one hundred thirty-five 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 138316432470441984 cubic inches would be around 43096.6 feet tall.
Recreational maths with 138316432470441984
- 138316432470441984 backwards is 489144074234613831
- 138316432470441984 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138316432470441984's digits is 72
- More coming soon!
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"Number 138316432470441984 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138316432470441984 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138316432470441984/
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The information we have on file for 138316432470441984 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 138316432470441984, math, Factors of 138316432470441984, curriculum, school, college, exams, university, Prime factorization of 138316432470441984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixteen trillion, four hundred thirty-two billion, four hundred seventy million, four hundred forty-one thousand, nine hundred eighty-four.