138818819675454336
138,818,819,675,454,336 is an even composite number composed of five prime numbers multiplied together.
138818819675454336 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138818819675454336:
27 × 36 × 113 × 793 × 2267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 79 × 79 × 79 × 2267)See below for interesting mathematical facts about the number 138818819675454336 from the Numbermatics database.
Names of 138818819675454336
- Cardinal: 138818819675454336 can be written as One hundred thirty-eight quadrillion, eight hundred eighteen trillion, eight hundred nineteen billion, six hundred seventy-five million, four hundred fifty-four thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.38818819675454336 × 1017
Factors of 138818819675454336
Divisors of 138818819675454336
- Number of divisors d(n): 1792
-
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 79 81 88 96 99 108 121 128 132 144 158 162 176 192 198 216 237 242 243 264 288 297 316 324 352 363 384 396 432 474 484 486 528 576 594 632 648 704 711 726 729 792 864 869 891 948 968 972 1056 1089 1152 1188 1264 1296 1331 1408 1422 1452 1458 1584 1728 1738 1782 1896 1936 1944 2112 2133 2178 2267 2376 2528 2592 2607 2662 2673 2844 2904 2916 3168 3267 3456 3476 3564 3792 3872 3888 3993 4224 4266 4356 4534 4752 5056 5184 5214 5324 5346 5688 5808 5832 6241 6336 6399 6534 6801 6952 7128 7584 7744 7776 7821 7986 8019 8532 8712 9068 9504 9559 9801 10112 10368 10428 10648 10692 11376 11616 11664 11979 12482 12672 12798 13068 13602 13904 14256 15168 15488 15552 15642 15972 16038 17064 17424 18136 18723 19008 19118 19197 19602 20403 20856 21296 21384 22752 23232 23328 23463 23958 24937 24964 25596 26136 27204 27808 28512 28677 29403 30336 31104 31284 31944 32076 34128 34848 35937 36272 37446 38016 38236 38394 39204 40806 41712 42592 42768 45504 46464 46656 46926 47916 49874 49928 51192 52272 54408 55616 56169 57024 57354 57591 58806 61209 62568 63888 64152 68256 68651 69696 70389 71874 72544 74811 74892 76472 76788 78408 81612 83424 85184 85536 86031 88209 91008 93312 93852 95832 99748 99856 102384 104544 105149 107811 108816 111232 112338 114048 114708 115182 117612 122418 125136 127776 128304 136512 137302 139392 140778 143748 145088 149622 149784 152944 153576 156816 163224 166848 168507 170368 171072 172062 176418 179093 183627 187704 191664 199496 199712 204768 205953 209088 210298 211167 215622 217632 224433 224676 229416 230364 235224 244836 250272 255552 256608 258093 273024 274307 274604 281556 287496 290176 299244 299568 305888 307152 313632 315447 323433 326448 333696 337014 342144 344124 352836 358186 367254 375408 383328 398992 399424 409536 411906 418176 420596 422334 431244 435264 448866 449352 458832 460728 470448 489672 493039 500544 505521 511104 513216 516186 537279 548614 549208 550881 563112 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274605446016 277335897894 281557482624 283493480688 295077925032 301303197712 302548252248 308931126768 309265615296 318930165774 321903190944 328694397504 330052638816 331962665661 337015774656 338966097426 347547517614 347923817208 362141089812 369781197192 377991307584 387560707776 393437233376 403397669664 405732146919 411908169024 416003846841 425240221032 429204254592 440070185088 442616887548 451954796568 453822378372 463396690152 463898422944 478395248661 482854786416 493041596256 505523661984 506071006848 508449146139 537863559552 540976195892 543211634718 554671795788 566986961376 590155850064 602606395424 605096504496 617862253536 618531230592 637860331548 643806381888 657388795008 660105277632 663925331322 674031549312 677932194852 695095035228 695847634416 724282179624 739562394384 755982615168 775121415552 786874466752 806795339328 811464293838 814817452077 823816338048 832007693682 850480442064 885233775096 903909593136 907644756744 926793380304 927796845888 956790497322 965709572832 986083192512 995887996983 1011047323968 1016898292278 1081952391784 1086423269436 1109343591576 1133973922752 1180311700128 1205212790848 1210193008992 1217196440757 1235724507072 1248011540523 1275720663096 1287612763776 1320210555264 1327850662644 1355864389704 1390190070456 1391695268832 1448564359248 1479124788768 1487684538703 1525347438417 1573748933504 1613590678656 1622928587676 1629634904154 1664015387364 1700960884128 1770467550192 1807819186272 1815289513488 1853586760608 1855593691776 1913580994644 1931419145664 1972166385024 1991775993966 2022094647936 2033796584556 2163904783568 2172846538872 2218687183152 2267947845504 2360623400256 2410425581696 2420386017984 2434392881514 2471449014144 2496023081046 2551441326192 2655701325288 2711728779408 2780380140912 2783390537664 2897128718496 2958249577536 2975369077406 2987663990949 3050694876834 3245857175352 3259269808308 3328030774728 3401921768256 3540935100384 3615638372544 3630579026976 3651589322271 3707173521216 3827161989288 3862838291328 3983551987932 4067593169112 4327809567136 4345693077744 4437374366304 4463053616109 4576042315251 4721246800512 4840772035968 4868785763028 4992046162092 5102882652384 5311402650576 5423457558816 5560760281824 5566781075328 5794257436992 5916499155072 5950738154812 5975327981898 6101389753668 6491714350704 6518539616616 6656061549456 6803843536512 7081870200768 7231276745088 7261158053952 7303178644542 7414347042432 7654323978576 7967103975864 8135186338224 8655619134272 8691386155488 8874748732608 8926107232218 8962991972847 9152084630502 9737571526056 9984092324184 10205765304768 10622805301152 10846915117632 10954767966813 11121520563648 11588514873984 11901476309624 11950655963796 12202779507336 12983428701408 13037079233232 13312123098912 13389160848327 13728126945753 14163740401536 14522316107904 14606357289084 15308647957152 15934207951728 16270372676448 17311238268544 17382772310976 17749497465216 17852214464436 17925983945694 18304169261004 19475143052112 19968184648368 20411530609536 21245610602304 21693830235264 21909535933626 22243041127296 23802952619248 23901311927592 24405559014672 25966857402816 26074158466464 26624246197824 26778321696654 27456253891506 29212714578168 30617295914304 31868415903456 32540745352896 32864303900439 34765544621952 35704428928872 35851967891388 36608338522008 38950286104224 39936369296736 40167482544981 42491221204608 43819071867252 47605905238496 47802623855184 48811118029344 51933714805632 52148316932928 53248492395648 53556643393308 54912507783012 58425429156336 61234591828608 63736831806912 65081490705792 65728607800878 71408857857744 71703935782776 73216677044016 77900572208448 79872738593472 80334965089962 87638143734504 95211810476992 95605247710368 97622236058688 98592911701317 104296633865856 107113286786616 109825015566024 116850858312672 120502447634943 127473663613824 131457215601756 142817715715488 143407871565552 146433354088032 155801144416896 159745477186944 160669930179924 175276287469008 190423620953984 191210495420736 195244472117376 197185823402634 214226573573232 219650031132048 233701716625344 241004895269886 262914431203512 285635431430976 286815743131104 292866708176064 321339860359848 350552574938016 361507342904829 382420990841472 394371646805268 428453147146464 439300062264096 467403433250688 482009790539772 525828862407024 571270862861952 573631486262208 585733416352128 642679720719696 701105149876032 723014685809658 788743293610536 856906294292928 878600124528192 964019581079544 1051657724814048 1084522028714487 1147262972524416 1285359441439392 1402210299752064 1446029371619316 1577486587221072 1713812588585856 1757200249056384 1928039162159088 2103315449628096 2169044057428974 2570718882878784 2892058743238632 3154973174442144 3856078324318176 4206630899256192 4338088114857948 5141437765757568 5784117486477264 6309946348884288 7712156648636352 8676176229715896 11568234972954528 12619892697768576 15424313297272704 17352352459431792 23136469945909056 34704704918863584 46272939891818112 69409409837727168 138818819675454336
- Sum of all divisors σ(n): 462123677419084800
- Sum of proper divisors (its aliquot sum) s(n): 323304857743630464
- 138818819675454336 is an abundant number, because the sum of its proper divisors (323304857743630464) is greater than itself. Its abundance is 184486038068176128
Bases of 138818819675454336
- Binary: 1111011010010111011111011001000101110010011111011100000002
- Hexadecimal: 0x1ED2EFB22E4FB80
- Base-36: 11YV5XDB2000
Squares and roots of 138818819675454336
- 138818819675454336 squared (1388188196754543362) is 19270664696086307880136928021200896
- 138818819675454336 cubed (1388188196754543363) is 2675130927472149208564620794060571650101869130285056
-
The
square root of 138818819675454336 is 372583976.6756674897 -
The
cube root of 138818819675454336 is 517784.9811411365
Scales and comparisons
How big is 138818819675454336?- 138,818,819,675,454,336 seconds is equal to 4,414,009,070 years, 45 weeks, 4 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,818,819,675,454,336 would take you about thirteen billion, two hundred forty-two million, twenty-seven thousand, two 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 138818819675454336 cubic inches would be around 43148.7 feet tall.
Recreational maths with 138818819675454336
- 138818819675454336 backwards is 633454576918818831
- The number of decimal digits it has is: 18
- The sum of 138818819675454336's digits is 90
- More coming soon!
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MLA style:
"Number 138818819675454336 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138818819675454336 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138818819675454336/
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Numbermatics. 2024. "Number 138818819675454336 - Facts about the integer". https://numbermatics.com/n/138818819675454336/
The information we have on file for 138818819675454336 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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