138904428438433152
138,904,428,438,433,152 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138904428438433152 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138904428438433152 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138904428438433152:
27 × 32 × 11 × 41 × 61 × 71 × 211 × 292561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 41 × 61 × 71 × 211 × 292561)See below for interesting mathematical facts about the number 138904428438433152 from the Numbermatics database.
Names of 138904428438433152
- Cardinal: 138904428438433152 can be written as One hundred thirty-eight quadrillion, nine hundred four trillion, four hundred twenty-eight billion, four hundred thirty-eight million, four hundred thirty-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.38904428438433152 × 1017
Factors of 138904428438433152
Divisors of 138904428438433152
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 61 64 66 71 72 82 88 96 99 122 123 128 132 142 144 164 176 183 192 198 211 213 244 246 264 284 288 328 352 366 369 384 396 422 426 451 488 492 528 549 568 576 633 639 656 671 704 732 738 781 792 844 852 902 976 984 1056 1098 1136 1152 1266 1278 1312 1342 1353 1408 1464 1476 1562 1584 1688 1704 1804 1899 1952 1968 2013 2112 2196 2272 2321 2343 2501 2532 2556 2624 2684 2706 2911 2928 2952 3124 3168 3376 3408 3608 3798 3904 3936 4026 4059 4224 4331 4392 4544 4642 4686 5002 5064 5112 5248 5368 5412 5822 5856 5904 6039 6248 6336 6752 6816 6963 7029 7216 7503 7596 7808 7872 8052 8118 8651 8662 8733 8784 9088 9284 9372 10004 10128 10224 10736 10824 11644 11712 11808 12078 12496 12672 12871 12993 13504 13632 13926 14058 14432 14981 15006 15192 15744 16104 16236 17302 17324 17466 17568 18568 18744 20008 20256 20448 20889 21472 21648 22509 23288 23424 23616 24156 24992 25742 25953 25986 26199 27008 27264 27511 27852 28116 28864 29962 30012 30384 32021 32208 32472 34604 34648 34932 35136 37136 37488 38613 38979 40016 40512 40896 41778 42944 43296 44943 45018 46576 47232 47641 48312 49984 51484 51906 51972 52398 55022 55704 56232 57728 59924 60024 60768 64042 64416 64944 69208 69296 69864 70272 74272 74976 77226 77859 77958 80032 81024 81792 82533 83556 85888 86592 89886 90036 93152 95161 95282 96063 96624 99968 102968 103812 103944 104796 110044 111408 112464 115839 119848 120048 121536 128084 128832 129888 134829 138416 138592 139728 141581 142923 148544 149952 154452 155718 155916 160064 164791 165066 167112 173184 177571 179772 180072 186304 190322 190564 192126 193248 205936 207624 207888 209592 220088 222816 224928 231678 239696 240096 243072 247599 256168 257664 259776 269658 276832 277184 279456 283162 285483 285846 288189 292561 297088 299904 308904 311436 311832 320128 329582 330132 334224 355142 359544 360144 372608 380644 381128 384252 386496 411872 415248 415776 419184 424743 428769 440176 445632 449856 463356 479392 480192 494373 495198 512336 519552 527711 532713 539316 553664 554368 558912 566324 570966 571692 576378 585122 614221 617808 622872 623664 659164 660264 668448 710284 719088 720288 761288 762256 768504 772992 823744 830496 831552 838368 849486 856449 857538 877683 880352 891264 899712 913841 926712 958784 960384 988746 990396 1024672 1055422 1065426 1078632 1107328 1117824 1132648 1141932 1143384 1152756 1170244 1228442 1235616 1245744 1247328 1274229 1318328 1320528 1336896 1420568 1438176 1440576 1483119 1522576 1524512 1537008 1583133 1598139 1647488 1660992 1663104 1676736 1698972 1712898 1715076 1755366 1760704 1827682 1842663 1853424 1917568 1953281 1977492 1980792 2049344 2110844 2130852 2157264 2265296 2283864 2286768 2305512 2340488 2456884 2471232 2491488 2494656 2548458 2633049 2636656 2641056 2673792 2741523 2841136 2876352 2881152 2966238 3045152 3049024 3074016 3166266 3196278 3218171 3321984 3353472 3397944 3425796 3430152 3510732 3521408 3655364 3685326 3706848 3906562 3954984 3961584 4098688 4221688 4261704 4314528 4530592 4567728 4573536 4611024 4680976 4749399 4913768 4942464 4982976 4989312 5096916 5266098 5273312 5282112 5483046 5527989 5682272 5752704 5804821 5859843 5932476 6090304 6098048 6148032 6332532 6392556 6436342 6756431 6795888 6851592 6860304 7021464 7310728 7370652 7413696 7813124 7909968 7923168 8224569 8443376 8523408 8629056 9061184 9135456 9147072 9222048 9361952 9498798 9654513 9827536 9965952 10052251 10193832 10532196 10546624 10564224 10966092 11055978 11364544 11609642 11719686 11864952 11995001 12180608 12296064 12665064 12785112 12872684 13512862 13591776 13703184 13720608 14042928 14621456 14741304 14827392 15626248 15819936 15846336 16449138 16886752 17046816 17258112 17414463 17579529 17846221 18122368 18270912 18294144 18444096 18723904 18997596 19309026 19655072 20104502 20269293 20387664 20771831 21064392 21093248 21932184 22111956 22729088 23219284 23439372 23729904 23990002 25330128 25570224 25745368 27025724 27183552 27406368 27441216 28085856 28963539 29242912 29482608 30156753 31252496 31639872 31692672 32898276 33773504 34093632 34828926 35159058 35692442 35985003 36541824 36888192 37447808 37467481 37995192 38618052 39310144 40209004 40538586 40775328 41543662 42128784 43864368 44223912 46438568 46878744 47459808 47980004 50660256 51140448 51490736 52243389 53538663 54051448 54367104 54812736 54882432 56171712 57927078 58485824 58965216 60313506 60807879 61730371 62315493 62504992 63279744 65796552 67547008 68187264 69657852 70318116 71384884 71970006 74934962 75990384 77236104 78620288 80418008 81077172 81550656 83087324 84257568 87728736 88447824 90470259 92877136 93757488 94919616 95960008 101320512 102280896 102981472 104486778 107077326 107955009 108102896 109625472 112343424 112402443 115854156 116971648 117930432 120627012 121615758 123460742 124630986 125009984 131593104 131945011 139315704 140636232 142769768 143940012 149869924 151980768 154472208 160615989 160836016 162154344 163101312 166174648 168515136 175457472 176895648 180940518 185191113 185754272 186946479 187514976 189839232 191920016 196308431 202641024 204561792 205962944 208973556 214154652 215910018 216205792 224804886 228490141 231708312 235860864 241254024 243231516 246921484 249261972 250019968 263186208 263890022 278631408 281272464 285539536 287880024 299739848 303961536 308944416 321231978 321672032 324308688 332349296 337030272 337207329 350914944 353791296 361881036 370382226 371508544 373892958 375029952 383840032 392616862 395835033 411925888 412142291 417947112 428309304 431820036 432411584 449609772 456980282 463416624 482508048 486463032 493842968 498523944 526372416 527780044 555573339 557262816 562544928 571079072 575760048 588925293 599479696 607923072 617888832 642463956 643344064 648617376 664698592 674414658 679034081 685470423 707582592 723762072 731695061 740764452 743017088 747785916 750059904 767680064 785233724 791670066 824284582 835894224 851645071 856618608 863640072 864823168 899219544 913960564 926833248 965016096 972926064 987685936 997047888 1052744832 1055560088 1111146678 1114525632 1125089856 1142158144 1151520096 1177850586 1187505099 1198959392 1235777664 1236426873 1267081691 1284927912 1286688128 1297234752 1329397184 1348829316 1358068162 1370940846 1447524144 1463390122 1481528904 1495571832 1535360128 1570467448 1583340132 1648569164 1671788448 1703290142 1713237216 1727280144 1766775879 1798439088 1827921128 1853666496 1930032192 1945852128 1975371872 1994095776 2037102243 2056411269 2111120176 2195085183 2222293356 2229051264 2250179712 2284316288 2303040192 2355701172 2375010198 2397918784 2472853746 2530945211 2534163382 2554935213 2569855824 2594469504 2658794368 2697658632 2716136324 2741881692 2895048288 2926780244 2963057808 2991143664 3140934896 3166680264 3297138328 3343576896 3406580284 3426474432 3454560288 3533551758 3596878176 3655842256 3707332992 3709280619 3765552631 3801245073 3860064384 3891704256 3950743744 3988191552 4074204486 4112822538 4222240352 4382856341 4390170366 4444586712 4606080384 4711402344 4750020396 4795837568 4945707492 5061890422 5068326764 5109870426 5139711648 5395317264 5432272648 5483763384 5790096576 5853560488 5926115616 5982287328 6111306729 6281869792 6333360528 6585255549 6594276656 6687153792 6813160568 6852948864 6909120576 7067103516 7193756352 7311684512 7418561238 7531105262 7592835633 7602490146 7664805639 7783408512 7901487488 7976383104 8048645671 8148408972 8225645076 8444480704 8765712682 8780340732 8889173424 9368095781 9422804688 9500040792 9891414984 10123780844 10136653528 10219740852 10279423296 10790634528 10864545296 10967526768 11296657893 11403735219 11580193152 11707120976 11852231232 11964574656 12222613458 12563739584 12666721056 13148569023 13170511098 13188553312 13626321136 13818241152 13937898601 14134207032 14387512704 14623369024 14837122476 15062210524 15185671266 15204980292 15329611278 16097291342 16296817944 16451290152 16888961408 17531425364 17560681464 17778346848 18736191562 18845609376 19000081584 19782829968 20247561688 20273307056 20439481704 20558846592 21581269056 21729090592 21935053536 22593315786 22778506899 22807470438 23414241952 23704462464 23929149312 24145937013 24445226916 25127479168 25333442112 26297138046 26341022196 26377106624 27252642272 27840397321 27875797202 28104287343 28268414064 29246738048 29674244952 30124421048 30371342532 30409960584 30659222556 32194582684 32593635888 32902580304 33889973679 35062850728 35121362928 35556693696 37472383124 37691218752 38000163168 39445707069 39565659936 40495123376 40546614112 40878963408 41421078941 41813695803 43162538112 43458181184 43870107072 45186631572 45557013798 45614940876 46828483904 48211419751 48291874026 48890453832 50666884224 51950349331 52594276092 52682044392 52754213248 54505284544 55680794642 55751594404 56208574686 56536828128 59348489904 60248842096 60742685064 60819921168 61318445112 64389165368 65187271776 65805160608 67779947358 70125701456 70242725856 71113387392 72437811039 74944766248 75382437504 76000326336 78891414138 79131319872 80990246752 81093228224 81757926816 82842157882 83521191963 83627391606 84312862029 86916362368 87740214144 90373263144 91114027596 91229881752 93656967808 96422839502 96583748052 97780907664 103900698662 105188552184 105364088784 109010569088 111361589284 111503188808 112417149372 113073656256 118696979808 120497684192 121485370128 121639842336 122636890224 124263236823 125441087409 128778330736 130374543552 131610321216 135559894716 140251402912 140485451712 144634259253 144875622078 149889532496 152000652672 154387657871 155851047993 157782828276 158262639744 161980493504 162186456448 163515853632 165684315764 167042383926 167254783212 168625724058 179697109981 180746526288 182228055192 182459763504 192845679004 193167496104 195561815328 207801397324 210377104368 210728177568 222723178568 223006377616 224834298744 226147312512 237393959616 240995368384 242970740256 243279684672 245273780448 248526473646 250563575889 250882174818 257556661472 260749087104 263220642432 267354236801 271119789432 280502805824 280970903424 289268518506 289751244156 299779064992 308775315742 311702095986 315565656552 323960987008 327031707264 331368631528 334084767852 334509566424 337251448116 359394219962 361493052576 364456110384 364919527008 372789710469 385691358008 386334992208 391123630656 415602794648 420754208736 421456355136 433902777759 445446357136 446012755232 449668597488 463162973613 467553143979 474787919232 481990736768 485941480512 486559369344 490547560896 497052947292 501127151778 501764349636 515113322944 534708473602 539091329943 542239578864 561005611648 571453842641 578537037012 579502488312 599558129984 617550631484 623404191972 631131313104 662737263056 668169535704 669019132848 674502896232 718788439924 722986105152 728912220768 729839054016 745579420938 771382716016 772669984416 782247261312 802062710403 831205589296 841508417472 842912710272 867805555518 890892714272 892025510464 899337194976 926325947226 935106287958 971882961024 981095121792 994105894584 1002254303556 1003528699272 1030226645888 1069416947204 1078182659886 1084479157728 1142907685282 1157074074024 1159004976624 1199116259968 1235101262968 1246808383944 1262262626208 1325474526112 1336339071408 1338038265696 1349005792464 1389488920839 1437576879848 1445972210304 1457824441536 1459678108032 1491158841876 1542765432032 1545339968832 1604125420806 1617273989829 1662411178592 1683016834944 1698264236581 1714361527923 1735611111036 1781785428544 1784051020928 1798674389952 1852651894452 1870212575916 1976668209791 1988211789168 2004508607112 2007057398544 2138833894408 2156365319772 2168958315456 2285815370564 2314148148048 2318009953248 2406188131209 2470202525936 2493616767888 2524525252416 2650949052224 2672678142816 2676076531392 2698011584928 2778977841678 2875153759696 2915648883072 2940896604811 2982317683752 3085530864064 3090679937664 3208250841612 3234547979658 3324822357184 3396528473162 3428723055846 3471222222072 3563570857088 3597348779904 3705303788904 3740425151832 3953336419582 3976423578336 4009017214224 4014114797088 4277667788816 4312730639544 4337916630912 4571630741128 4628296296096 4636019906496 4812376262418 4940405051872 4987233535776 5049050504832 5094792709743 5143084583769 5301898104448 5345356285632 5352153062784 5396023169856 5557955683356 5750307519392 5881793209622 5930004629373 5964635367504 6171061728128 6416501683224 6469095959316 6649644714368 6793056946324 6857446111692 6942444444144 7410607577808 7480850303664 7906672839164 7952847156672 8018034428448 8028229594176 8555335577632 8625461279088 8822689814433 9143261482256 9256592592192 9272039812992 9624752524836 9880810103744 9974467071552 10189585419486 10286169167538 10690712571264 10792046339712 10961523708841 11115911366712 11500615038784 11763586419244 11860009258746 11929270735008 12833003366448 12938191918632 13586113892648 13714892223384 13884888888288 14821215155616 14961700607328 15284378129229 15813345678328 15905694313344 16036068856896 16056459188352 17110671155264 17250922558176 17645379628866 17790013888119 18286522964512 18513185184384 19249505049672 19761620207488 19948934143104 20379170838972 20572338335076 21923047417682 22231822733424 23001230077568 23527172838488 23720018517492 23858541470016 25666006732896 25876383837264 26468069443299 27172227785296 27429784446768 27769777776576 29642430311232 29923401214656 30568756258458 31626691356656 32072137713792 32884571126523 34221342310528 34501845116352 35290759257732 35580027776238 36573045929024 38499010099344 40758341677944 41144676670152 43846094835364 44463645466848 47054345676976 47440037034984 47717082940032 51332013465792 51752767674528 52936138886598 54344455570592 54859568893536 55539555553152 59284860622464 59846802429312 61137512516916 63253382713312 65769142253046 69003690232704 70581518515464 71160055552476 73146091858048 76998020198688 81516683355888 82289353340304 87692189670728 88927290933696 94108691353952 94880074069968 98653713379569 102664026931584 103505535349056 105872277773196 108688911141184 109719137787072 120576760797251 122275025033832 126506765426624 131538284506092 141163037030928 142320111104952 153996040397376 163033366711776 164578706680608 175384379341456 177854581867392 188217382707904 189760148139936 197307426759138 207011070698112 211744555546392 217377822282368 219438275574144 241153521594502 244550050067664 253013530853248 263076569012184 282326074061856 284640222209904 307992080794752 326066733423552 329157413361216 350768758682912 361730282391753 376434765415808 379520296279872 394614853518276 423489111092784 482307043189004 489100100135328 526153138024368 564652148123712 569280444419808 652133466847104 658314826722432 701537517365824 723460564783506 759040592559744 789229707036552 846978222185568 964614086378008 978200200270656 1052306276048736 1085190847175259 1129304296247424 1138560888839616 1403075034731648 1446921129567012 1578459414073104 1693956444371136 1929228172756016 1956400400541312 2104612552097472 2170381694350518 2277121777679232 2893842259134024 3156918828146208 3387912888742272 3858456345512032 4209225104194944 4340763388701036 5787684518268048 6313837656292416 7716912691024064 8681526777402072 11575369036536096 12627675312584832 15433825382048128 17363053554804144 23150738073072192 34726107109608288 46301476146144384 69452214219216576 138904428438433152
- Sum of all divisors σ(n): 462585517941980160
- Sum of proper divisors (its aliquot sum) s(n): 323681089503547008
- 138904428438433152 is an abundant number, because the sum of its proper divisors (323681089503547008) is greater than itself. Its abundance is 184776661065113856
Bases of 138904428438433152
- Binary: 1111011010111110011010111011110101100110100101101100000002
- Hexadecimal: 0x1ED7CD77ACD2D80
- Base-36: 11ZPIDHQ6HS0
Squares and roots of 138904428438433152
- 138904428438433152 squared (1389044284384331522) is 19294440239807796581817740772655104
- 138904428438433152 cubed (1389044284384331523) is 2680083193550007064552316611819113238874604655607808
-
The
square root of 138904428438433152 is 372698844.1603128343 -
The
cube root of 138904428438433152 is 517891.3976027627
Scales and comparisons
How big is 138904428438433152?- 138,904,428,438,433,152 seconds is equal to 4,416,731,164 years, 38 weeks, 1 day, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,904,428,438,433,152 would take you about thirteen billion, two hundred fifty million, one hundred ninety-three thousand, four hundred ninety-four 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 138904428438433152 cubic inches would be around 43157.6 feet tall.
Recreational maths with 138904428438433152
- 138904428438433152 backwards is 251334834824409831
- 138904428438433152 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138904428438433152's digits is 72
- 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 138904428438433152 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 138904428438433152 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138904428438433152/
Chicago style:
Numbermatics. 2024. "Number 138904428438433152 - Facts about the integer". https://numbermatics.com/n/138904428438433152/
The information we have on file for 138904428438433152 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 138904428438433152, math, Factors of 138904428438433152, curriculum, school, college, exams, university, Prime factorization of 138904428438433152, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred four trillion, four hundred twenty-eight billion, four hundred thirty-eight million, four hundred thirty-three thousand, one hundred fifty-two.