138345118430317824
138,345,118,430,317,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 138345118430317824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138345118430317824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138345118430317824:
28 × 3 × 173 × 31 × 413 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 17 × 31 × 41 × 41 × 41 × 131 × 131)See below for interesting mathematical facts about the number 138345118430317824 from the Numbermatics database.
Names of 138345118430317824
- Cardinal: 138345118430317824 can be written as One hundred thirty-eight quadrillion, three hundred forty-five trillion, one hundred eighteen billion, four hundred thirty million, three hundred seventeen thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38345118430317824 × 1017
Factors of 138345118430317824
Divisors of 138345118430317824
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 31 32 34 41 48 51 62 64 68 82 93 96 102 123 124 128 131 136 164 186 192 204 246 248 256 262 272 289 328 372 384 393 408 492 496 524 527 544 578 656 697 744 768 786 816 867 984 992 1048 1054 1088 1156 1271 1312 1394 1488 1572 1581 1632 1681 1734 1968 1984 2091 2096 2108 2176 2227 2312 2542 2624 2788 2976 3144 3162 3264 3362 3468 3813 3936 3968 4061 4182 4192 4216 4352 4454 4624 4913 5043 5084 5248 5371 5576 5952 6288 6324 6528 6681 6724 6936 7626 7872 7936 8122 8364 8384 8432 8908 8959 9248 9826 10086 10168 10496 10742 11152 11849 11904 12183 12576 12648 13056 13362 13448 13872 14739 15252 15744 16113 16244 16728 16768 16864 17161 17816 17918 18496 19652 20172 20336 21484 21607 22304 23698 23808 24366 25152 25296 26724 26877 26896 27744 28577 29478 30504 31488 32226 32488 33456 33536 33728 34322 35547 35632 35836 36992 37859 39304 40344 40672 42968 43214 44608 47396 48732 50304 50592 51483 52111 53448 53754 53792 55488 57154 58956 61008 64452 64821 64976 66912 67456 68644 68921 69037 71094 71264 71672 73984 75718 78608 80688 81344 85731 85936 86428 89216 91307 94792 97464 100608 101184 102966 104222 106896 107508 107584 110976 113577 114308 117912 122016 128904 129642 129952 133824 134912 137288 137842 138074 142188 142528 143344 151436 152303 156333 157216 161376 162688 166501 171462 171872 172856 178432 182614 189584 194928 201433 202368 205932 206763 207111 208444 213792 215016 215168 220211 221952 227154 228616 235824 244032 257808 259284 259904 267648 273921 274576 275684 276148 284376 285056 286688 291737 302872 304606 312666 314432 322752 325376 333002 342924 343744 345712 365228 367319 379168 389856 402866 404736 411864 413526 414222 416888 427584 430032 430336 440422 454308 456909 457232 471648 485809 488064 499503 515616 518568 519808 531991 535296 547842 549152 551368 552296 568752 570112 573376 583474 604299 605744 609212 625332 628864 643603 645504 660633 666004 685848 687488 691424 703601 730456 734638 758336 779712 805732 823728 827052 828444 833776 855168 860064 875211 880844 885887 908616 913818 914464 943296 971618 976128 999006 1031232 1037136 1039616 1063982 1095684 1098304 1101957 1102736 1104592 1137504 1146752 1166948 1171657 1173629 1208598 1211488 1218424 1250664 1257728 1287206 1291008 1321266 1332008 1371696 1374976 1382848 1407202 1457427 1460912 1469276 1516672 1552219 1559424 1595973 1611464 1647456 1654104 1656888 1667552 1710336 1720128 1750422 1761688 1771774 1817232 1827636 1828928 1886592 1930809 1943236 1998012 2062464 2074272 2110803 2127964 2136551 2191368 2196608 2203914 2205472 2209184 2275008 2293504 2333896 2343314 2347258 2417196 2422976 2436848 2501328 2574412 2642532 2657661 2664016 2743392 2765696 2814404 2830517 2914854 2921824 2938552 3033344 3104438 3118848 3191946 3222928 3294912 3308208 3313776 3335104 3440256 3500844 3514971 3520887 3523376 3543548 3634464 3655272 3657856 3743587 3773184 3861618 3886472 3996024 4124928 4148544 4221606 4255928 4273102 4382736 4393216 4407828 4410944 4418368 4550016 4656657 4667792 4686628 4694516 4834392 4845952 4873696 4959529 5002656 5148824 5285064 5315322 5328032 5486784 5531392 5628808 5661034 5829708 5843648 5877104 6208876 6244423 6383892 6409653 6445856 6589824 6616416 6627552 6670208 6826541 6880512 7001688 7029942 7041774 7046752 7087096 7268928 7310544 7315712 7487174 7723236 7772944 7992048 8258753 8297088 8443212 8491551 8511856 8546204 8765472 8815656 8821888 8836736 9028651 9043847 9100032 9313314 9335584 9373256 9389032 9668784 9691904 9747392 9919058 10005312 10297648 10570128 10630644 10656064 10973568 11230761 11257616 11322068 11659416 11687296 11754208 11961217 12417752 12488846 12767784 12819306 12891712 13179648 13232832 13255104 13340416 13653082 14003376 14059884 14083548 14093504 14174192 14537856 14621088 14878587 14974348 15060079 15446472 15545888 15984096 16517506 16594176 16886424 16983102 17023712 17092408 17530944 17631312 17643776 17673472 18057302 18087694 18626628 18671168 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323550737236 331852004448 333987857792 334549988224 335900002016 341815698209 343402318464 354862098904 364864963368 376634800896 378791107008 400174475952 402465551196 403427926976 415448310912 425185380699 428642172412 439984220532 442469339264 454177259904 456777511392 474211767552 482563338648 485326105854 486486617824 500981786688 501824982336 503850003024 505054809344 516892031438 532293148356 533565967936 536620734928 566913840932 586645627376 605141890464 609036681856 623310979087 628238909184 642963258618 643417784864 647101474472 663704008896 667975715584 669099976448 671800004032 683631396418 686804636928 709724197808 729729926736 757582214016 775338047157 800348951904 804931102392 806855853952 830896621824 850370761398 857284344824 879968441064 884938678528 908354519808 913555022784 965126677296 970652211708 972973235648 1001963573376 1003649964672 1007700006048 1025447094627 1033784062876 1064586296712 1067131935872 1073241469856 1133827681864 1173291254752 1210283780928 1218073363712 1246621958174 1285926517236 1286835569728 1294202948944 1327408017792 1343600008064 1367262792836 1375090633253 1419448395616 1459459853472 1515164428032 1550676094314 1600697903808 1609862204784 1613711707904 1700741522796 1714568689648 1759936882128 1827110045568 1869932937261 1930253354592 1941304423416 1945946471296 2003927146752 2007299929344 2015400012096 2050894189254 2067568125752 2129172593424 2134263871744 2146482939712 2267655363728 2346582509504 2420567561856 2493243916348 2571853034472 2573671139456 2588405897888 2654816035584 2687200016128 2734525585672 2750181266506 2838896791232 2918919706944 3101352188628 3201395807616 3219724409568 3401483045592 3429137379296 3519873764256 3654220091136 3739865874522 3860506709184 3882608846832 3891892942592 4030800024192 4101788378508 4125271899759 4135136251504 4258345186848 4292965879424 4393582267223 4535310727456 4693165019008 4841135123712 4986487832696 5143706068944 5147342278912 5176811795776 5469051171344 5500362533012 5677793582464 5810866869553 5837839413888 6202704377256 6402791615232 6439448819136 6802966091184 6858274758592 7039747528512 7479731749044 7721013418368 7765217693664 8061600048384 8203576757016 8250543799518 8270272503008 8516690373696 8585931758848 8787164534446 9070621454912 9386330038016 9972975665392 10287412137888 10353623591552 10596286644479 10938102342688 11000725066024 11355587164928 11621733739106 11675678827776 12405408754512 12878897638272 13180746801669 13605932182368 13716549517184 14079495057024 14959463498088 15442026836736 15530435387328 16407153514032 16501087599036 16540545006016 17033380747392 17432600608659 17574329068892 18141242909824 19945951330784 20574824275776 20707247183104 21192573288958 21876204685376 22001450132048 23243467478212 24810817509024 25757795276544 26361493603338 27211864364736 27433099034368 28158990114048 29918926996176 31060870774656 31788859933437 32814307028064 33002175198072 33081090012032 34066761494784 34865201217318 35148658137784 36282485819648 39891902661568 41149648551552 42385146577916 43752409370752 44002900264096 46486934956424 49621635018048 52722987206676 54423728729472 59837853992352 62121741549312 63577719866874 65628614056128 66004350396144 66162180024064 69730402434636 70297316275568 79783805323136 82299297103104 84770293155832 87504818741504 88005800528192 92973869912848 99243270036096 105445974413352 108847457458944 119675707984704 127155439733748 131257228112256 132008700792288 139460804869272 140594632551136 159567610646272 169540586311664 176011601056384 180136872956143 185947739825696 198486540072192 210891948826704 239351415969408 254310879467496 262514456224512 264017401584576 278921609738544 281189265102272 339081172623328 352023202112768 360273745912286 371895479651392 421783897653408 478702831938816 508621758934992 528034803169152 540410618868429 557843219477088 562378530204544 678162345246656 720547491824572 743790959302784 843567795306816 1017243517869984 1056069606338304 1080821237736858 1115686438954176 1124757060409088 1356324690493312 1441094983649144 1487581918605568 1687135590613632 2034487035739968 2161642475473716 2231372877908352 2712649380986624 2882189967298288 3374271181227264 4068974071479936 4323284950947432 4462745755816704 5764379934596576 8137948142959872 8646569901894864 11528759869193152 17293139803789728 23057519738386304 34586279607579456 46115039476772608 69172559215158912 138345118430317824
- Sum of all divisors σ(n): 417106536854353920
- Sum of proper divisors (its aliquot sum) s(n): 278761418424036096
- 138345118430317824 is an abundant number, because the sum of its proper divisors (278761418424036096) is greater than itself. Its abundance is 140416299993718272
Bases of 138345118430317824
- Binary: 1111010111000000000100110111110000111001011001101000000002
- Hexadecimal: 0x1EB8026F872CD00
- Base-36: 11U7920SAZ9C
Squares and roots of 138345118430317824
- 138345118430317824 squared (1383451184303178242) is 19139371793498664462739893652094976
- 138345118430317824 cubed (1383451184303178243) is 2647838657453457190845479829118890516288091113652224
-
The
square root of 138345118430317824 is 371947736.1543121747 -
The
cube root of 138345118430317824 is 517195.3518888315
Scales and comparisons
How big is 138345118430317824?- 138,345,118,430,317,824 seconds is equal to 4,398,946,836 years, 27 weeks, 6 days, 1 hour, 10 minutes, 24 seconds.
-
To count from 1 to 138,345,118,430,317,824 would take you about thirteen billion, one hundred ninety-six million, eight hundred forty thousand, five hundred 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 138345118430317824 cubic inches would be around 43099.6 feet tall.
Recreational maths with 138345118430317824
- 138345118430317824 backwards is 428713034811543831
- The number of decimal digits it has is: 18
- The sum of 138345118430317824's digits is 66
- More coming soon!
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MLA style:
"Number 138345118430317824 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138345118430317824 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138345118430317824/
Chicago style:
Numbermatics. 2024. "Number 138345118430317824 - Facts about the integer". https://numbermatics.com/n/138345118430317824/
The information we have on file for 138345118430317824 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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