138315404996345200
138,315,404,996,345,200 is an even composite number composed of six prime numbers multiplied together.
138315404996345200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138315404996345200:
24 × 52 × 133 × 43 × 733 × 972
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 13 × 43 × 73 × 73 × 73 × 97 × 97)See below for interesting mathematical facts about the number 138315404996345200 from the Numbermatics database.
Names of 138315404996345200
- Cardinal: 138315404996345200 can be written as One hundred thirty-eight quadrillion, three hundred fifteen trillion, four hundred four billion, nine hundred ninety-six million, three hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.383154049963452 × 1017
Factors of 138315404996345200
Divisors of 138315404996345200
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 40 43 50 52 65 73 80 86 97 100 104 130 146 169 172 194 200 208 215 260 292 325 338 344 365 388 400 430 485 520 559 584 650 676 688 730 776 845 860 949 970 1040 1075 1118 1168 1261 1300 1352 1460 1552 1690 1720 1825 1898 1940 2150 2197 2236 2425 2522 2600 2704 2795 2920 3139 3380 3440 3650 3796 3880 4171 4225 4300 4394 4472 4745 4850 5044 5200 5329 5590 5840 6278 6305 6760 7081 7267 7300 7592 7760 8342 8450 8600 8788 8944 9409 9490 9700 10088 10658 10985 11180 12337 12556 12610 13520 13975 14162 14534 14600 15184 15695 16393 16684 16900 17200 17576 18818 18980 19400 20176 20855 21316 21970 22360 23725 24674 25112 25220 26645 27950 28324 29068 29200 31390 31525 32786 33368 33800 35152 35405 36335 37636 37960 38800 40807 41710 42632 43940 44720 47045 47450 49348 50224 50440 53290 54223 54925 55900 56648 58136 61685 62780 63050 65572 66736 67600 69277 70810 72670 75272 75920 78475 81614 81965 83420 85264 87880 92053 94090 94471 94900 98696 100880 104275 106580 108446 109850 111800 113296 116272 122317 123370 125560 126100 131144 133225 138554 141620 145340 150544 156950 160381 163228 163930 166840 175760 177025 181675 184106 188180 188942 189800 197392 204035 208550 213109 213160 216892 219700 223600 229147 235225 244634 246740 251120 252200 262288 266450 271115 277108 283240 290680 304483 308425 313900 320762 326456 327860 333680 346385 354050 363350 368212 376360 377884 379600 389017 404587 408070 409825 417100 426218 426320 433784 439400 458294 460265 470450 472355 489268 493480 504400 516913 530491 532900 542230 554216 566480 581360 608966 611585 616850 627800 641524 652912 655720 686857 692770 704899 708100 726700 736424 752720 755768 778034 801905 809174 816140 819650 834200 852436 867568 878800 900601 916588 920530 940900 944710 978536 986960 1020175 1033826 1060982 1065545 1065800 1084460 1108432 1145735 1196689 1217932 1223170 1233700 1255600 1283048 1311440 1355575 1373714 1385540 1409798 1416200 1453400 1472848 1511536 1522415 1556068 1590121 1603810 1618348 1632280 1639300 1668400 1704872 1731925 1801202 1833176 1841060 1881800 1889420 1945085 1957072 2022935 2040350 2067652 2121964 2131090 2131600 2168920 2291470 2301325 2361775 2393378 2435864 2446340 2467400 2566096 2584565 2652455 2711150 2747428 2771080 2819596 2832400 2906800 2978911 3044830 3057925 3112136 3180242 3207620 3236696 3264560 3278600 3409744 3434285 3463850 3524495 3602404 3666352 3682120 3763600 3778840 3890170 3958279 4009525 4045870 4080700 4135304 4243928 4262180 4337840 4503005 4582940 4602650 4723550 4786756 4871728 4892680 4934800 5057221 5169130 5259631 5304910 5327725 5422300 5494856 5542160 5639192 5728675 5957822 5983445 6089660 6115850 6224272 6360484 6415240 6473392 6557200 6719869 6868570 6896383 6927700 7048990 7204808 7364240 7557680 7612075 7780340 7916558 7950605 8019050 8091740 8161400 8270608 8487856 8524360 8929141 9006010 9163687 9165880 9205300 9447100 9573512 9725425 9785360 10114442 10114675 10338260 10519262 10609820 10655450 10844600 10989712 11278384 11457350 11707813 11915644 11966890 12179320 12231700 12720968 12830480 12922825 13262275 13439738 13737140 13792766 13855400 14097980 14409616 14894555 15224150 15556957 15560680 15833116 15901210 16038100 16183480 16322800 16727731 17048720 17171425 17622475 17858282 18012020 18327374 18331760 18410600 18894200 19147024 19450850 19791395 20228884 20229350 20671573 20676520 21038524 21219640 21310900 21689200 22227259 22515025 22914700 23415626 23831288 23933780 24358640 24463400 25286105 25441936 25845650 26298155 26524550 26879476 27474280 27585532 27710800 28195960 29534851 29789110 29917225 30448300 31113914 31121360 31666232 31802420 32076200 32366960 33455462 33599345 34342850 34481915 35244950 35716564 36024040 36654748 36821200 37734649 37788400 38725843 38901700 39582790 39753025 40457768 40458700 41343146 41353040 42077048 42439280 42621800 44454518 44645705 45030050 45818435 45829400 46831252 47662576 47867560 48926800 50140561 50572210 51457627 51691300 52596310 53049100 53758952 54948560 55171064 56391920 58539065 59069702 59578220 59834450 60896600 62227828 63332464 63604840 64152400 65743873 66910924 67198690 68375203 68685700 68963830 70489900 71433128 72048080 73309496 74472775 75469298 77451686 77784785 77803400 79165580 79506050 80915536 80917400 82686292 83638655 84154096 85243600 87358297 88909036 89291410 90060100 91636870 91658800 93662504 95735120 98956975 100281122 101144420 102915254 103357865 103382600 105192620 106098200 107517904 110342128 111136295 116078833 117078130 118139404 119156440 119668900 121793200 124455656 126430525 127209680 131487746 131490775 133821848 134397380 136750406 137371400 137927660 140979800 142866256 146618992 147674255 148945550 150938596 154903372 155569570 155606800 158331160 159012100 161834800 165372584 167277310 167996725 172409575 174716594 177818072 178582820 180120200 183273740 187325008 188673245 193629215 197913950 200562244 202288840 205830508 206715730 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791655800 802248976 823322032 826862920 836386550 854670349 869842012 873582970 888877639 889090360 892914100 916368700 928630664 936625040 943366225 968146075 981100874 1002811220 1006871918 1011444200 1029152540 1033578650 1051901968 1051926200 1087302515 1094003248 1111362950 1135657861 1155817468 1160788330 1170781300 1181394040 1191564400 1244556560 1253514025 1286440675 1303654586 1314877460 1337898302 1338218480 1343973800 1367504060 1379276600 1397732752 1444771835 1476742550 1509024829 1509385960 1535812252 1549033720 1555695700 1583311600 1622589907 1643596825 1653725840 1672773100 1709340698 1709380075 1739684024 1747165940 1777755278 1778180720 1785828200 1832737400 1857261328 1886732450 1919765315 1936292150 1962201748 2005622440 2013743836 2022888400 2058305080 2067157300 2103852400 2156044123 2174605030 2183957425 2222725900 2271315722 2311634936 2321576660 2341562600 2362788080 2452752185 2507028050 2517179795 2572881350 2607309172 2629754920 2675796604 2687947600 2735008120 2758553200 2826986539 2889543670 2901970825 2953485100 3018049658 3018771920 3071624504 3098067440 3111391400 3245179814 3259136465 3287193650 3344745755 3345546200 3418681396 3418760150 3479368048 3494331880 3555510556 3571656400 3660260953 3665474800 3756406771 3773464900 3839530630 3872584300 3924403496 4011244880 4027487672 4116610160 4134314600 4273351745 4312088246 4349210060 4367914850 4444388195 4445451800 4542631444 4623269872 4643153320 4683125200 4905504370 4991389819 5014056100 5034359590 5145762700 5214618344 5259509840 5351593208 5436512575 5470016240 5653973078 5678289305 5779087340 5803941650 5906970200 6036099316 6143249008 6222782800 6377155681 6490359628 6518272930 6574387300 6689491510 6691092400 6837362792 6837520300 6988663760 7111021112 7223859175 7320521906 7512813542 7545124145 7546929800 7679061260 7745168600 7848806992 8054975344 8112949535 8268629200 8473754809 8546703490 8624176492 8698420120 8735829700 8888776390 8890903600 9085262888 9286306640 9598826575 9811008740 9982779638 10028112200 10068719180 10291525400 10429236688 10703186416 10780220615 10873025150 11307946156 11356578610 11558174680 11607883300 11813940400 12072198632 12263760925 12585898975 12754311362 12980719256 13036545860 13148774600 13378983020 13674725584 13675040600 14134932695 14222042224 14447718350 14641043812 15025627084 15090248290 15093859600 15358122520 15490337200 16225899070 16295682325 16723728775 16947509618 17093406980 17248352984 17396840240 17471659400 17777552780 18170525776 18301304765 18782033855 19197653150 19622017480 19965559276 20056224400 20137438360 20583050800 21093668791 21366758725 21560441230 21746050300 22221940975 22615892312 22713157220 23116349360 23215766600 24144397264 24527521850 24956949095 25171797950 25508622724 25961438512 26073091720 26297549200 26757966040 27350081200 28028573599 28269865390 28391446525 28895436700 29282087624 30051254168 30180496580 30716245040 31885778405 32451798140 32591364650 33447457550 33895019236 34186813960 34496705968 34943318800 35555105560 36602609530 36750825007 37564067710 37725620725 38395306300 39244034960 39931118552 40274876720 40564747675 42187337582 42368774045 42733517450 43120882460 43492100600 44443881950 45231784624 45426314440 46431533200 47583392389 48833288023 49055043700 49913898190 50343595900 51017245448 52146183440 53515932080 53901103075 56057147198 56539730780 56782893050 57790873400 58564175248 60102508336 60360993160 63771556810 64888067647 64903596280 65182729300 66894915100 67790038472 68373627920 70674663475 71110211120 73205219060 73501650014 75128135420 75451241450 76790612600 79862237104 81129495350 82903023853 84374675164 84737548090 85467034900 86241764920 86984201200 88887763900 90852628880 91506523825 93910169275 95166784778 97666576046 98110087400 99827796380 100687191800 102034490896 105468343955 107802206150 110158812517 112114294396 113079461560 113565786100 115581746800 120721986320 124784745475 127543113620 129776135294 129807192560 130365458600 133789830200 135580076944 140142867995 141349326950 146410438120 147003300028 150256270840 150902482900 153581225200 157391220979 159428892025 162258990700 165806047706 168749350328 169475096180 170934069800 172483529840 177775527800 183013047650 183754125035 187820338550 190333569556 195333152092 196220174800 199655592760 201374383600 210936687910 211843870225 215604412300 220317625034 224228588792 226158923120 227131572200 237916961945 244166440115 249569490950 255086227240 259552270588 260730917200 267579660400 274217694283 280285735990 282698653900 292820876240 294006600056 300512541680 301804965800 314782441958 318857784050 324440338235 324517981400 331612095412 337498700656 338950192360 341868139600 355551055600 364371456787 366026095300 367508250070 375640677100 380667139112 390666304184 399311185520 414515119265 421873375820 423687740450 431208824600 440635250068 448457177584 454263144400 475833923890 488332880230 499138981900 510172454480 519104541176 527341719775 548435388566 550794062585 560571471980 565397307800 588013200112 603609931600 618584101057 629564883916 637715568100 648880676470 649035962800 663224190824 677900384720 700714339975 728742913574 732052190600 735016500140 751281354200 761334278224 781332608368 786956104895 829030238530 843746751640 847375480900 862417649200 881270500136 918770625175 951667847780 976665760460 998277963800 1038209082352 1054683439550 1096870777132 1101588125170 1121142943960 1130794615600 1189584809725 1220832200575 1237168202114 1259129767832 1275431136200 1297761352940 1326448381648 1371088471415 1401428679950 1457485827148 1464104381200 1470033000280 1502562708400 1573912209790 1622201691175 1658060477060 1687493503280 1694750961800 1762541000272 1821857283935 1837541250350 1903335695560 1953331520920 1996555927600 2046085872727 2072575596325 2109366879100 2193741554264 2203176250340 2242285887920 2379169619450 2441664401150 2474336404228 2518259535664 2550862272400 2595522705880 2742176942830 2753970312925 2802857359900 2914971654296 2940066000560 3092920505285 3147824419580 3244403382350 3316120954120 3389501923600 3564830025679 3643714567870 3675082500700 3806671391120 3906663041840 3934780524475 4092171745454 4145151192650 4218733758200 4387483108528 4406352500680 4736828938231 4758339238900 4883328802300 4948672808456 5191045411760 5484353885660 5507940625850 5605714719800 5829943308592 6185841010570 6295648839160 6488806764700 6632241908240 6855442357075 7129660051358 7287429135740 7350165001400 7869561048950 8041593313741 8184343490908 8290302385300 8437467516400 8812705001360 9109286419675 9473657876462 9516678477800 9766657604600 9897345616912 10230429363635 10968707771320 11015881251700 11211429439600 12371682021140 12591297678320 12977613529400 13710884714150 14259320102716 14574858271480 14700330002800 15464602526425 15739122097900 16083186627482 16368686981816 16580604770600 17824150128395 18218572839350 18947315752924 19033356955600 19533315209200 20460858727270 21937415542640 22031762503400 23684144691155 24743364042280 25955227058800 26599116345451 27421769428300 28518640205432 29149716542960 30929205052850 31478244195800 32166373254964 32737373963632 33161209541200 35648300256790 36437145678700 37894631505848 40207966568705 40921717454540 44063525006800 47368289382310 49486728084560 51152146818175 53198232690902 54843538856600 57037280410864 61858410105700 62956488391600 64332746509928 71296600513580 72874291357400 75789263011696 80415933137410 81843434909080 89120750641975 94736578764620 102304293636350 106396465381804 109687077713200 118420723455775 123716820211400 128665493019856 132995581727255 142593201027160 145748582714800 160831866274820 163686869818160 178241501283950 189473157529240 201039832843525 204608587272700 212792930763608 236841446911550 247433640422800 265991163454510 285186402054320 321663732549640 345788512490863 356483002567900 378946315058480 402079665687050 409217174545400 425585861527216 473682893823100 531982326909020 643327465099280 664977908636275 691577024981726 712966005135800 804159331374100 818434349090800 947365787646200 1063964653818040 1329955817272550 1383154049963452 1425932010271600 1608318662748200 1728942562454315 1894731575292400 2127929307636080 2659911634545100 2766308099926904 3216637325496400 3457885124908630 5319823269090200 5532616199853808 6915770249817260 8644712812271575 10639646538180400 13831540499634520 17289425624543150 27663080999269040 34578851249086300 69157702498172600 138315404996345200
- Sum of all divisors σ(n): 377359635617764800
- Sum of proper divisors (its aliquot sum) s(n): 239044230621419600
- 138315404996345200 is an abundant number, because the sum of its proper divisors (239044230621419600) is greater than itself. Its abundance is 100728825625074400
Bases of 138315404996345200
- Binary: 1111010110110010100100000110001011100010101111101011100002
- Hexadecimal: 0x1EB6520C5C57D70
- Base-36: 11TWPVUWW8Z4
Squares and roots of 138315404996345200
- 138315404996345200 squared (1383154049963452002) is 19131151259302994715625357563040000
- 138315404996345200 cubed (1383154049963452003) is 2646132934476833200182080574515023074378601408000000
-
The
square root of 138315404996345200 is 371907790.9863481201 -
The
cube root of 138315404996345200 is 517158.3219103399
Scales and comparisons
How big is 138315404996345200?- 138,315,404,996,345,200 seconds is equal to 4,398,002,041 years, 12 weeks, 5 days, 6 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,315,404,996,345,200 would take you about thirteen billion, one hundred ninety-four million, six thousand, one hundred twenty-three 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 138315404996345200 cubic inches would be around 43096.5 feet tall.
Recreational maths with 138315404996345200
- 138315404996345200 backwards is 002543699404513831
- The number of decimal digits it has is: 18
- The sum of 138315404996345200's digits is 67
- More coming soon!
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"Number 138315404996345200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138315404996345200 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138315404996345200/
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The information we have on file for 138315404996345200 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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