138107439358698061824
138,107,439,358,698,061,824 is an even composite number composed of five prime numbers multiplied together.
What does the number 138107439358698061824 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
138107439358698061824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138107439358698061824:
225 × 3 × 112 × 132 × 81912
(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 × 11 × 11 × 13 × 13 × 8191 × 8191)See below for interesting mathematical facts about the number 138107439358698061824 from the Numbermatics database.
Names of 138107439358698061824
- Cardinal: 138107439358698061824 can be written as One hundred thirty-eight quintillion, one hundred seven quadrillion, four hundred thirty-nine trillion, three hundred fifty-eight billion, six hundred ninety-eight million, sixty-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38107439358698061824 × 1020
Factors of 138107439358698061824
Divisors of 138107439358698061824
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 121 128 132 143 156 169 176 192 208 242 256 264 286 312 338 352 363 384 416 429 484 507 512 528 572 624 676 704 726 768 832 858 968 1014 1024 1056 1144 1248 1352 1408 1452 1536 1573 1664 1716 1859 1936 2028 2048 2112 2288 2496 2704 2816 2904 3072 3146 3328 3432 3718 3872 4056 4096 4224 4576 4719 4992 5408 5577 5632 5808 6144 6292 6656 6864 7436 7744 8112 8191 8192 8448 9152 9438 9984 10816 11154 11264 11616 12288 12584 13312 13728 14872 15488 16224 16382 16384 16896 18304 18876 19968 20449 21632 22308 22528 23232 24573 24576 25168 26624 27456 29744 30976 32448 32764 32768 33792 36608 37752 39936 40898 43264 44616 45056 46464 49146 49152 50336 53248 54912 59488 61347 61952 64896 65528 65536 67584 73216 75504 79872 81796 86528 89232 90101 90112 92928 98292 98304 100672 106483 106496 109824 118976 122694 123904 129792 131056 131072 135168 146432 151008 159744 163592 173056 178464 180202 180224 185856 196584 196608 201344 212966 212992 219648 237952 245388 247808 259584 262112 262144 270303 270336 292864 302016 319449 319488 327184 346112 356928 360404 360448 371712 393168 393216 402688 425932 425984 439296 475904 490776 495616 519168 524224 524288 540606 540672 585728 604032 638898 638976 654368 692224 713856 720808 720896 743424 786336 786432 805376 851864 851968 878592 951808 981552 991111 991232 1038336 1048448 1048576 1081212 1081344 1171313 1171456 1208064 1277796 1277952 1308736 1384279 1384448 1427712 1441616 1441792 1486848 1572672 1572864 1610752 1703728 1703936 1757184 1903616 1963104 1982222 1982464 2076672 2096896 2097152 2162424 2162688 2342626 2342912 2416128 2555592 2555904 2617472 2768558 2768896 2855424 2883232 2883584 2973333 2973696 3145344 3145728 3221504 3407456 3407872 3513939 3514368 3807232 3926208 3964444 3964928 4152837 4153344 4193792 4194304 4324848 4325376 4685252 4685824 4832256 5111184 5111808 5234944 5537116 5537792 5710848 5766464 5767168 5946666 5947392 6290688 6291456 6443008 6814912 6815744 7027878 7028736 7614464 7852416 7928888 7929856 8305674 8306688 8387584 8388608 8649696 8650752 9370504 9371648 9664512 10222368 10223616 10469888 11074232 11075584 11421696 11532928 11534336 11893332 11894784 12581376 12582912 12884443 12886016 13629824 13631488 14055756 14057472 15227069 15228928 15704832 15857776 15859712 16611348 16613376 16775168 16777216 17299392 17301504 18741008 18743296 19329024 20444736 20447232 20939776 22148464 22151168 22843392 23065856 23068672 23786664 23789568 25162752 25165824 25768886 25772032 27259648 27262976 28111512 28114944 30454138 30457856 31409664 31715552 31719424 33222696 33226752 33550336 33554432 34598784 34603008 37482016 37486592 38653329 38658048 40889472 40894464 41879552 44296928 44302336 45681207 45686784 46131712 46137344 47573328 47579136 50325504 50331648 51537772 51544064 54519296 54525952 56223024 56229888 60908276 60915712 62819328 63431104 63438848 66445392 66453504 67092481 67100672 69197568 69206016 74964032 74973184 77306658 77316096 81778944 81788928 83759104 88593856 88604672 91362414 91373568 92263424 92274688 95146656 95158272 100651008 100663296 103075544 103088128 109038592 109051904 112446048 112459776 121816552 121831424 125638656 126862208 126877696 132890784 132907008 134184962 134201344 138395136 138412032 149928064 149946368 154613316 154632192 163557888 163577856 167497759 167518208 177187712 177209344 182724828 182747136 184526848 184549376 190293312 190316544 201277443 201302016 206151088 206176256 218077184 218103808 224892096 224919552 243633104 243662848 251277312 253724416 253755392 265781568 265814016 268369924 268402688 276790272 276824064 299856128 299892736 309226632 309264384 327115776 327155712 334995518 335036416 354375424 354418688 365449656 365494272 369053696 369098752 380586624 380633088 402554886 402604032 412302176 412352512 436154368 436207616 449784192 449839104 487266208 487325696 502493277 502554624 507448832 507510784 531563136 531628032 536739848 536805376 553580544 553648128 599712256 599785472 618453264 618528768 654231552 654311424 669991036 670072832 708750848 708837376 730899312 730988544 738017291 738107392 761173248 761266176 805109772 805208064 824604352 824705024 872202253 872308736 899568384 899678208 974532416 974651392 1004986554 1005109248 1014897664 1015021568 1063126272 1063256064 1073479696 1073610752 1107161088 1107296256 1199424512 1199570944 1236906528 1237057536 1308463104 1308622848 1339982072 1340145664 1417501696 1417674752 1461798624 1461977088 1476034582 1476214784 1522346496 1522532352 1610219544 1610416128 1649208704 1649410048 1744404506 1744617472 1799136768 1799356416 1949064832 1949302784 2009973108 2010218496 2029795328 2030043136 2126252544 2126512128 2146959392 2147221504 2214051873 2214322176 2398849024 2399141888 2473813056 2474115072 2616606759 2616926208 2679964144 2680291328 2835003392 2835349504 2923597248 2923954176 2952069164 2952429568 3044692992 3045064704 3220439088 3220832256 3298417408 3298820096 3488809012 3489234944 3598273536 3598712832 3898129664 3898605568 4019946216 4020436992 4059590656 4060086272 4252505088 4253024256 4293918784 4294443008 4428103746 4428644352 4797698048 4798283776 4947626112 4948230144 5233213518 5233852416 5359928288 5360582656 5670006784 5670699008 5847194496 5847908352 5904138328 5904859136 6089385984 6090129408 6440878176 6441664512 6596834816 6597640192 6977618024 6978469888 7196547072 7197425664 7796259328 7797211136 8039892432 8040873984 8118190201 8119181312 8505010176 8506048512 8587837568 8588886016 8856207492 8857288704 9594224783 9595396096 9895252224 9896460288 10466427036 10467704832 10719856576 10721165312 11338629289 11340013568 11694388992 11695816704 11808276656 11809718272 12178771968 12180258816 12881756352 12883329024 13193669632 13195280384 13955236048 13956939776 14393094144 14394851328 15592518656 15594422272 16079784864 16081747968 16236380402 16238362624 17010020352 17012097024 17175675136 17177772032 17712414984 17714577408 19188449566 19190792192 19790504448 19792920576 20932854072 20935409664 21439713152 21442330624 22677258578 22680027136 23388777984 23391633408 23616553312 23619436544 24354570603 24357543936 25763512704 25766658048 26387339264 26390560768 27910472096 27913879552 28782674349 28786188288 31185037312 31188844544 32159569728 32163495936 32472760804 32476725248 34015887867 34020040704 34351350272 34355544064 35424829968 35429154816 38376899132 38381584384 39581008896 39585841152 41865708144 41870819328 42879426304 42884661248 45354517156 45360054272 46777555968 46783266816 47233106624 47238873088 48709141206 48715087872 51527025408 51533316096 52774678528 52781121536 55820944192 55827759104 57565348698 57572376576 62370074624 62377689088 64319139456 64326991872 64945521608 64953450496 68031775734 68040081408 68702700544 68711088128 70849659936 70858309632 76753798264 76763168768 79162017792 79171682304 83731416288 83741638656 85758852608 85769322496 90709034312 90720108544 93555111936 93566533632 94466213248 94477746176 97418282412 97430175744 103054050816 103066632192 105536472613 105549357056 111641888384 111655518208 115130697396 115144753152 124724922179 124740149248 128638278912 128653983744 129891043216 129906900992 136063551468 136080162816 137405401088 137422176256 141699319872 141716619264 153507596528 153526337536 158324035584 158343364608 167462832576 167483277312 171517705216 171538644992 181418068624 181440217088 187110223872 187133067264 188932426496 188955492352 194836564824 194860351488 206108101632 206133264384 211072945226 211098714112 223283776768 223311036416 230261394792 230289506304 249449844358 249480298496 257276557824 257307967488 259782086432 259813801984 272127102936 272160325632 274810802176 274844352512 283398639744 283433238528 307015193056 307052675072 316609417839 316648071168 334925665152 334966554624 343035410432 343077289984 362836137248 362880434176 374174766537 374220447744 377864852992 377910984704 389673129648 389720702976 412216203264 412266528768 422145890452 422197428224 446567553536 446622072832 460522789584 460579012608 498899688716 498960596992 514553115648 514615934976 519564172864 519627603968 544254205872 544320651264 549621604352 566797279488 566866477056 614030386112 614105350144 633218835678 633296142336 669851330304 669933109248 686070820864 686154579968 725672274496 725760868352 748349533074 748440895488 755729705984 755821969408 779346259296 779441405952 824432406528 824533057536 844291780904 844394856448 893135107072 893244145664 921045579168 921158025216 997799377432 997921193984 1029106231296 1029231869952 1039128345728 1039255207936 1088508411744 1088641302528 1099243208704 1133594558976 1133732954112 1228060772224 1228210700288 1266437671356 1266592284672 1339702660608 1339866218496 1371974143969 1372141641728 1451344548992 1451521736704 1496699066148 1496881790976 1511459411968 1511643938816 1558692518592 1558882811904 1648864813056 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7369264201728 7982395019456 7983369551872 8231844863814 8232849850368 8313026765824 8314041663488 8708067293952 8709130420224 8793945669632 9068756471808 9069863632896 9824486177792 9825685602304 10131501370848 10132738277376 10717621284864 10718929747968 10975793151752 10977133133824 11610756391936 11612173893632 11973592529184 11975054327808 12091675295744 12469540148736 12471062495232 13190918504448 13508668494464 13510317703168 14290161713152 14736729266688 14738528403456 15964790038912 15966739103744 16463689727628 16465699700736 16626053531648 16628083326976 17416134587904 17418260840448 17587891339264 18137512943616 19648972355584 19651371204608 20263002741696 20265476554752 21435242569728 21951586303504 21954266267648 23221512783872 23224347787264 23947185058368 23950108655616 24183350591488 24939080297472 24942124990464 26381837008896 27017336988928 27020635406336 28580323426304 29473458533376 29477056806912 31929580077824 31933478207488 32927379455256 32931399401472 33252107063296 33256166653952 34832269175808 34836521680896 35175782678528 36275025887232 39297944711168 39302742409216 40526005483392 40530953109504 42870485139456 43903172607008 43908532535296 46443025567744 46448695574528 47894370116736 47900217311232 48366701182976 49878160594944 49884249980928 52763674017792 54034673977856 54041270812672 57160646852608 58946917066752 58954113613824 63859160155648 63866956414976 65854758910512 65862798802944 66504214126592 69664538351616 69673043361792 70351565357056 72550051774464 78595889422336 81052010966784 81061906219008 85740970278912 87806345214016 87817065070592 92886051135488 95788740233472 95800434622464 96733402365952 99756321189888 99768499961856 105527348035584 108069347955712 108082541625344 114321293705216 117893834133504 117908227227648 127718320311296 127733912829952 131709517821024 131725597605888 133008428253184 139329076703232 139346086723584 140703130714112 145100103548928 157191778844672 162104021933568 162123812438016 171481940557824 175612690428032 175634130141184 185772102270976 191577480466944 191600869244928 193466804731904 199512642379776 211054696071168 216138695911424 216165083250688 228642587410432 235787668267008 255436640622592 255467825659904 263419035642048 263451195211776 266016856506368 278658153406464 281406261428224 290200207097856 314383557689344 324208043867136 324247624876032 342963881115648 351225380856064 351268260282368 371544204541952 383154960933888 383201738489856 386933609463808 399025284759552 422109392142336 432277391822848 432330166501376 457285174820864 471575336534016 510873281245184 510935651319808 526838071284096 526902390423552 532033713012736 557316306812928 562812522856448 580400414195712 628767115378688 648416087734272 648495249752064 685927762231296 702450761712128 702536520564736 743088409083904 766309921867776 766403476979712 773867218927616 798050569519104 844218784284672 864554783645696 914570349641728 943150673068032 1021746562490368 1053676142568192 1053804780847104 1064067426025472 1114632613625856 1125625045712896 1160800828391424 1257534230757376 1296832175468544 1296990499504128 1371855524462592 1404901523424256 1405073041129472 1486176818167808 1532619843735552 1532806953959424 1547734437855232 1596101139038208 1688437568569344 1729109567291392 1829140699283456 1886301346136064 2043493124980736 2107352285136384 2107609561694208 2128134852050944 2229265227251712 2251250091425792 2321601656782848 2515068461514752 2593664350937088 2743711048925184 2809803046848512 2810146082258944 2972353636335616 3065239687471104 3095468875710464 3192202278076416 3376875137138688 3458219134582784 3658281398566912 3772602692272128 4086986249961472 4214704570272768 4215219123388416 4256269704101888 4458530454503424 4643203313565696 5030136923029504 5187328701874176 5487422097850368 5619606093697024 5620292164517888 5944707272671232 6130479374942208 6190937751420928 6384404556152832 6753750274277376 6916438269165568 7316562797133824 7545205384544256 8173972499922944 8429409140545536 8430438246776832 8512539408203776 8917060909006848 9286406627131392 10060273846059008 10374657403748352 10974844195700736 11239212187394048 11889414545342464 12260958749884416 12381875502841856 12768809112305664 13832876538331136 14633125594267648 15090410769088512 16347944999845888 16858818281091072 16860876493553664 17025078816407552 17834121818013696 18572813254262784 20120547692118016 20749314807496704 21949688391401472 22478424374788096 23778829090684928 24521917499768832 24763751005683712 25537618224611328 27665753076662272 29266251188535296 30180821538177024 32695889999691776 33717636562182144 34050157632815104 35668243636027392 37145626508525568 40241095384236032 41498629614993408 43899376782802944 44956848749576192 47557658181369856 49043834999537664 51075236449222656 55331506153324544 60361643076354048 65391779999383552 67435273124364288 68100315265630208 71336487272054784 74291253017051136 80482190768472064 82997259229986816 87798753565605888 89913697499152384 95115316362739712 98087669999075328 102150472898445312 110663012306649088 120723286152708096 130783559998767104 134870546248728576 136200630531260416 142672974544109568 160964381536944128 165994518459973632 179827394998304768 190230632725479424 196175339998150656 204300945796890624 221326024613298176 241446572305416192 261567119997534208 269741092497457152 272401261062520832 285345949088219136 321928763073888256 331989036919947264 359654789996609536 380461265450958848 392350679996301312 408601891593781248 442652049226596352 482893144610832384 523134239995068416 539482184994914304 570691898176438272 663978073839894528 719309579993219072 784701359992602624 817203783187562496 885304098453192704 965786289221664768 1046268479990136832 1078964369989828608 1141383796352876544 1327956147679789056 1438619159986438144 1569402719985205248 1770608196906385408 2092536959980273664 2157928739979657216 2655912295359578112 2877238319972876288 3138805439970410496 3541216393812770816 4185073919960547328 4315857479959314432 5311824590719156224 5754476639945752576 6277610879940820992 8631714959918628864 10623649181438312448 11508953279891505152 12555221759881641984 17263429919837257728 23017906559783010304 34526859839674515456 46035813119566020608 69053719679349030912 138107439358698061824
- Sum of all divisors σ(n): 438398923296062571444
- Sum of proper divisors (its aliquot sum) s(n): 300291483937364509620
- 138107439358698061824 is an abundant number, because the sum of its proper divisors (300291483937364509620) is greater than itself. Its abundance is 162184044578666447796
Bases of 138107439358698061824
- Binary: 11101111100101000000011000001011111010001100000000000000000000000002
- Hexadecimal: 0x77CA0305F46000000
- Base-36: T59X5CZP6COAO
Squares and roots of 138107439358698061824
- 138107439358698061824 squared (1381074393586980618242) is 19073664806216462514216917028294126206976
- 138107439358698061824 cubed (1381074393586980618243) is 2634215005572673515348485151704350492349964133909935868084224
-
The
square root of 138107439358698061824 is 11751912157.5468756491 -
The
cube root of 138107439358698061824 is 5168989.9888339033
Scales and comparisons
How big is 138107439358698061824?- 138,107,439,358,698,061,824 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,107,439,358,698,061,824 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138107439358698061824 cubic inches would be around 430749.2 feet tall.
Recreational maths with 138107439358698061824
- 138107439358698061824 backwards is 428160896853934701831
- 138107439358698061824 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138107439358698061824's digits is 96
- More coming soon!
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"Number 138107439358698061824 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138107439358698061824 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138107439358698061824/
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Numbermatics. 2024. "Number 138107439358698061824 - Facts about the integer". https://numbermatics.com/n/138107439358698061824/
The information we have on file for 138107439358698061824 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 138107439358698061824, math, Factors of 138107439358698061824, curriculum, school, college, exams, university, Prime factorization of 138107439358698061824, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred seven quadrillion, four hundred thirty-nine trillion, three hundred fifty-eight billion, six hundred ninety-eight million, sixty-one thousand, eight hundred twenty-four.