138394581340425984
138,394,581,340,425,984 is an even composite number composed of five prime numbers multiplied together.
138394581340425984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138394581340425984:
28 × 36 × 7 × 792 × 2573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 79 × 79 × 257 × 257 × 257)See below for interesting mathematical facts about the number 138394581340425984 from the Numbermatics database.
Names of 138394581340425984
- Cardinal: 138394581340425984 can be written as One hundred thirty-eight quadrillion, three hundred ninety-four trillion, five hundred eighty-one billion, three hundred forty million, four hundred twenty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38394581340425984 × 1017
Factors of 138394581340425984
Divisors of 138394581340425984
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 79 81 84 96 108 112 126 128 144 158 162 168 189 192 216 224 237 243 252 256 257 288 316 324 336 378 384 432 448 474 486 504 514 553 567 576 632 648 672 711 729 756 768 771 864 896 948 972 1008 1028 1106 1134 1152 1264 1296 1344 1422 1458 1512 1542 1659 1701 1728 1792 1799 1896 1944 2016 2056 2133 2212 2268 2304 2313 2528 2592 2688 2844 2916 3024 3084 3318 3402 3456 3598 3792 3888 4032 4112 4266 4424 4536 4626 4977 5056 5103 5184 5376 5397 5688 5832 6048 6168 6241 6399 6636 6804 6912 6939 7196 7584 7776 8064 8224 8532 8848 9072 9252 9954 10112 10206 10368 10794 11376 11664 12096 12336 12482 12798 13272 13608 13878 14392 14931 15168 15552 16128 16191 16448 17064 17696 18144 18504 18723 19197 19908 20224 20303 20412 20736 20817 21588 22752 23328 24192 24672 24964 25596 26544 27216 27756 28784 29862 30336 31104 32382 32896 34128 35392 36288 37008 37446 38394 39816 40606 40824 41634 43176 43687 44793 45504 46656 48384 48573 49344 49928 51192 53088 54432 55512 56169 57568 57591 59724 60672 60909 62208 62451 64764 65792 66049 68256 70784 72576 74016 74892 76788 79632 81212 81648 83268 86352 87374 89586 91008 93312 97146 98688 99856 102384 106176 108864 111024 112338 115136 115182 119448 121818 124902 129528 131061 132098 134379 136512 141568 142121 145152 145719 148032 149784 153576 159264 162424 163296 166536 168507 172704 174748 179172 182016 182727 186624 187353 194292 197376 198147 199712 204768 212352 217728 222048 224676 230272 230364 238896 243636 249804 259056 262122 264196 268758 273024 284242 291438 296064 299568 307152 318528 324848 326592 333072 337014 345408 349496 358344 365454 374706 388584 393183 396294 399424 403137 409536 424704 426363 435456 437157 444096 449352 460544 460728 462343 477792 487272 499608 505521 518112 524244 528392 537516 546048 548181 568484 582876 592128 594441 599136 614304 637056 649696 653184 666144 674028 690816 698992 716688 730908 749412 777168 786366 792588 798848 806274 819072 852726 874314 888192 898704 921456 924686 955584 974544 999216 1011042 1036224 1048488 1056784 1075032 1096362 1136968 1165752 1179549 1188882 1198272 1228608 1274112 1279089 1299392 1306368 1311471 1332288 1348056 1381632 1387029 1397984 1433376 1461816 1498824 1516563 1554336 1572732 1585176 1597696 1603937 1612548 1638144 1644543 1705452 1748628 1776384 1783323 1797408 1842912 1849372 1911168 1949088 1998432 2022084 2072448 2096976 2113568 2150064 2192724 2273936 2331504 2359098 2377764 2396544 2457216 2558178 2598784 2622942 2664576 2696112 2774058 2795968 2866752 2923632 2997648 3033126 3108672 3145464 3170352 3207874 3225096 3289086 3410904 3497256 3538647 3566646 3594816 3685824 3698744 3822336 3837267 3898176 3996864 4044168 4144896 4161087 4193952 4227136 4300128 4385448 4547872 4549689 4663008 4718196 4755528 4793088 4811811 4914432 4933629 5116356 5197568 5217871 5245884 5329152 5349969 5392224 5548116 5591936 5733504 5847264 5995296 6066252 6217344 6290928 6340704 6415748 6450192 6578172 6821808 6994512 7077294 7133292 7189632 7371648 7397488 7674534 7796352 7993728 8088336 8322174 8387904 8454272 8600256 8770896 9095744 9099378 9326016 9436392 9511056 9623622 9867258 10232712 10435742 10491768 10615941 10699938 10784448 11096232 11183872 11227559 11467008 11511801 11694528 11990592 12132504 12434688 12483261 12581856 12681408 12831496 12900384 13156344 13643616 13989024 14154588 14266584 14379264 14435433 14743296 14794976 14800887 15349068 15592704 15653613 15987456 16049907 16176672 16644348 16775808 16908544 16974593 17200512 17541792 18191488 18198756 18652032 18872784 19022112 19247244 19734516 20465424 20871484 20983536 21231882 21399876 21568896 22192464 22455118 23023602 23389056 23981184 24265008 24966522 25163712 25362816 25662992 25800768 26312688 27287232 27978048 28309176 28533168 28870866 29589952 29601774 30698136 31307226 31847823 32099814 32353344 33288696 33551616 33682677 33949186 34401024 34535403 35083584 36382976 36397512 36525097 37304064 37449783 37745568 38044224 38494488 39469032 40930848 41742968 41967072 42463764 42799752 43137792 43306299 44384928 44910236 46047204 46778112 46960839 47962368 48149721 48530016 49933044 50327424 50725632 50923779 51325984 51601536 52625376 54574464 55956096 56618352 57066336 57741732 59179904 59203548 61396272 62614452 63695646 64199628 64706688 66577392 67365354 67898372 69070806 70167168 72795024 73050194 74899566 75491136 76088448 76988976 78938064 81861696 83485936 83934144 84927528 85599504 86612598 88769856 89820472 92094408 93921678 96299442 97060032 99866088 100654848 101048031 101847558 102651968 103203072 103606209 105250752 109148928 109575291 111912192 112349349 113236704 114132672 115483464 118359808 118407096 118822151 122792544 125228904 127391292 128399256 129413376 129918897 133154784 134730708 135796744 138141612 140334336 140882517 145590048 146100388 149799132 150982272 152176896 152771337 153977952 157876128 163723392 166971872 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2947021056 2958532857 3005493696 3081582144 3118053528 3195714816 3208198077 3233536992 3259121856 3297694472 3315398688 3381180408 3506409312 3595179168 3637729116 3666512088 3695470848 3709906281 3789027072 3802308832 3803827959 3944710476 4007324928 4022978541 4076521344 4108776192 4124826099 4157404704 4277597436 4311382656 4345495808 4420531584 4508240544 4675212416 4677080292 4793572224 4850305488 4888682784 4946541708 5071770612 5259613968 5363971388 5392768752 5456593674 5499768132 5543206272 5703463248 5770965326 5917065714 6010987392 6163164288 6236107056 6416396154 6467073984 6518243712 6595388944 6630797376 6762360816 7012818624 7190358336 7275458232 7333024176 7419812562 7604617664 7607655918 7889420952 8045957082 8153042688 8184890511 8249652198 8314809408 8555194872 8622765312 8656447989 8841063168 8875598571 9016481088 9350424832 9354160584 9386949929 9587144448 9624594231 9700610976 9777365568 9893083416 10143541224 10519227936 10727942776 10785537504 10913187348 10999536264 11086412544 11129718843 11406926496 11541930652 11834131428 12021974784 12068935623 12326328576 12374478297 12472214112 12832792308 12934147968 13036487424 13190777888 13261594752 13524721632 14025637248 14380716672 14550916464 14666048352 14839625124 15209235328 15215311836 15778841904 16091914164 16369781022 16499304396 16629618816 17110389744 17312895978 17751197142 18032962176 18708321168 18773899858 19249188462 19401221952 19554731136 19786166832 20287082448 21038455872 21455885552 21571075008 21826374696 21999072528 22259437686 22813852992 23083861304 23668262856 24137871246 24748956594 24944428224 25665584616 25868295936 25969343967 26381555776 26523189504 26626795713 27049443264 28051274496 28160849787 28761433344 28873782693 29101832928 29332096704 29679250248 30418470656 30430623672 31557683808 32183828328 32739562044 32998608792 33259237632 33389156529 34220779488 34625791956 35502394284 36065924352 36206806869 37416642336 37547799716 38498376924 38802443904 39109462272 39572333664 40574164896 42076911744 42911771104 43142150016 43652749392 43998145056 44518875372 45627705984 46167722608 47336525712 48275742492 49497913188 49888856448 51331169232 51938687934 52763111552 53253591426 54098886528 56321699574 57747565386 58203665856 58664193408 59358500496 60861247344 63115367616 64367656656 65479124088 65997217584 66778313058 68441558976 69251583912 71004788568 72413613738 74833284672 75095599432 76996753848 77604887808 77908031901 79144667328 81148329792 84153823488 84482549361 85823542208 86284300032 86621348079 87305498784 87996290112 89037750744 91255411968 92335445216 94673051424 96551484984 98995826376 99777712896 100167469587 102662338464 103877375868 105526223104 105938434913 106507182852 108197773056 108620420607 112643399148 115495130772 116407331712 117328386816 118717000992 121722494688 126230735232 128735313312 130958248176 131994435168 133556626116 136883117952 138503167824 142009577136 144827227476 149666569344 150191198864 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623264255208 635630609478 651722523642 675860394888 692970784632 698443990272 701172287109 712302005952 738683561728 741569044391 757384411392 760342944249 772411879872 791966611008 801339756696 821298707712 831019006944 847507479304 852057462816 868963364856 901147193184 923961046176 934896382812 949736007936 953445914217 973779957504 977583785463 1013790592332 1029882506496 1047665985408 1055955481344 1068453008928 1108025342592 1136076617088 1158617819808 1201529590912 1202009635044 1231948061568 1246528510416 1271261218956 1303445047284 1351720789776 1385941569264 1402344574218 1424604011904 1483138088782 1520685888498 1544823759744 1583933222016 1602679513392 1662038013888 1695014958608 1704114925632 1737926729712 1802294386368 1847922092352 1869792765624 1906891828434 1955167570926 2027581184664 2095331970816 2103516861327 2136906017856 2216050685184 2224707133173 2272153234176 2281028832747 2317235639616 2403059181824 2404019270088 2463896123136 2493057020832 2542522437912 2606890094568 2703441579552 2771883138528 2804689148436 2849208023808 2860337742651 2966276177564 3041371776996 3089647519488 3167866444032 3205359026784 3324076027776 3390029917216 3408229851264 3475853459424 3604588772736 3695844184704 3739585531248 3813783656868 3910335141852 4055162369328 4207033722654 4273812035712 4449414266346 4562057665494 4634471279232 4808038540176 4986114041664 5085044875824 5213780189136 5406883159104 5543766277056 5609378296872 5720675485302 5932552355128 6082743553992 6410718053568 6648152055552 6674121399519 6780059834432 6816459702528 6843086498241 6951706918848 7209177545472 7391688369408 7479171062496 7627567313736 7820670283704 8110324738656 8414067445308 8547624071424 8581013227953 8898828532692 9124115330988 9268942558464 9616077080352 9972228083328 10170089751648 10427560378272 10813766318208 11087532554112 11218756593744 11441350970604 11865104710256 12165487107984 12821436107136 13348242799038 13560119668864 13686172996482 13903413837696 14958342124992 15255134627472 15641340567408 16220649477312 16828134890616 17162026455906 17797657065384 18248230661976 19232154160704 19944456166656 20022364198557 20340179503296 20855120756544 21627532636416 22175065108224 22437513187488 22882701941208 23730209420512 24330974215968 25642872214272 25743039683859 26696485598076 27120239337728 27372345992964 27806827675392 29916684249984 30510269254944 31282681134816 32441298954624 33656269781232 34324052911812 35595314130768 36496461323952 38464308321408 40044728397114 40680359006592 41710241513088 44875026374976 45765403882416 47460418841024 48661948431936 51486079367718 53392971196152 54744691985928 59833368499968 60067092595671 61020538509888 62565362269632 64882597909248 67312539562464 68648105823624 71190628261536 72992922647904 76928616642816 77229119051577 80089456794228 81360718013184 83420483026176 89750052749952 91530807764832 94920837682048 97323896863872 102972158735436 106785942392304 109489383971856 120134185191342 122041077019776 125130724539264 134625079124928 137296211647248 142381256523072 145985845295808 154458238103154 160178913588456 179500105499904 180201277787013 183061615529664 189841675364096 194647793727744 205944317470872 213571884784608 218978767943712 240268370382684 244082154039552 250261449078528 269250158249856 274592423294496 284762513046144 291971690591616 308916476206308 320357827176912 360402555574026 366123231059328 411888634941744 427143769569216 437957535887424 480536740765368 538500316499712 540603833361039 549184846588992 569525026092288 583943381183232 617832952412616 640715654353824 720805111148052 732246462118656 823777269883488 854287539138432 875915071774848 961073481530736 1081207666722078 1098369693177984 1235665904825232 1281431308707648 1441610222296104 1647554539766976 1708575078276864 1751830143549696 1922146963061472 2162415333444156 2196739386355968 2471331809650464 2562862617415296 2883220444592208 3295109079533952 3844293926122944 4324830666888312 4942663619300928 5125725234830592 5766440889184416 6590218159067904 7688587852245888 8649661333776624 9885327238601856 11532881778368832 15377175704491776 17299322667553248 19770654477203712 23065763556737664 34598645335106496 46131527113475328 69197290670212992 138394581340425984
- Sum of all divisors σ(n): 481292802782517600
- Sum of proper divisors (its aliquot sum) s(n): 342898221442091616
- 138394581340425984 is an abundant number, because the sum of its proper divisors (342898221442091616) is greater than itself. Its abundance is 204503640101665632
Bases of 138394581340425984
- Binary: 1111010111010110100100011011100111010001010001111000000002
- Hexadecimal: 0x1EBAD2373A28F00
- Base-36: 11UOS8YVW000
Squares and roots of 138394581340425984
- 138394581340425984 squared (1383945813404259842) is 19153060144391783950275258582368256
- 138394581340425984 cubed (1383945813404259843) is 2650679740071099785906624378961370750577894599163904
-
The
square root of 138394581340425984 is 372014221.9598949471 -
The
cube root of 138394581340425984 is 517256.9826358963
Scales and comparisons
How big is 138394581340425984?- 138,394,581,340,425,984 seconds is equal to 4,400,519,604 years, 4 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,394,581,340,425,984 would take you about thirteen billion, two hundred one million, five hundred fifty-eight thousand, eight hundred twelve 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 138394581340425984 cubic inches would be around 43104.7 feet tall.
Recreational maths with 138394581340425984
- 138394581340425984 backwards is 489524043185493831
- 138394581340425984 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138394581340425984's digits is 81
- More coming soon!
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"Number 138394581340425984 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138394581340425984 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138394581340425984/
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The information we have on file for 138394581340425984 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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