138135883555440225
138,135,883,555,440,225 is an odd composite number composed of six prime numbers multiplied together.
138135883555440225 is an odd 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 138135883555440225:
37 × 52 × 7 × 132 × 613 × 972
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 61 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138135883555440225 from the Numbermatics database.
Names of 138135883555440225
- Cardinal: 138135883555440225 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, eight hundred eighty-three billion, five hundred fifty-five million, four hundred forty thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38135883555440225 × 1017
Factors of 138135883555440225
Divisors of 138135883555440225
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 61 63 65 75 81 91 97 105 117 135 169 175 183 189 195 225 243 273 291 305 315 325 351 405 427 455 485 507 525 549 567 585 675 679 729 793 819 845 873 915 945 975 1053 1183 1215 1261 1281 1365 1455 1521 1525 1575 1647 1701 1755 2025 2037 2135 2187 2275 2379 2425 2457 2535 2619 2745 2835 2925 3159 3395 3549 3645 3721 3783 3843 3965 4095 4225 4365 4563 4575 4725 4941 5103 5265 5551 5915 5917 6075 6111 6305 6405 6825 7137 7275 7371 7605 7857 8235 8505 8775 8827 9409 9477 10185 10309 10647 10675 10935 11163 11349 11529 11895 12285 12675 13095 13689 13725 14175 14823 15309 15795 16393 16653 16975 17745 17751 18225 18333 18605 18915 19215 19825 20475 21411 21825 22113 22815 23571 24705 25515 26047 26325 26481 27755 28227 28431 29575 29585 30555 30927 31525 31941 32025 33489 34047 34587 35685 36855 38025 39285 41067 41175 41419 42525 44135 44469 47045 47385 48373 49179 49959 50925 51545 53235 53253 54675 54999 55815 56745 57645 59475 61425 64233 65475 65863 66339 68445 70713 72163 74115 76545 76921 78141 78975 79443 81965 83265 84681 88725 88755 91665 92781 93025 94575 95823 96075 100467 102141 103761 107055 110565 114075 114751 117855 122317 123201 123525 124257 127575 130235 132405 133407 138775 141135 142155 145119 147537 147925 149877 152775 154635 159705 159759 164997 167445 170235 172935 178425 184275 192699 196425 197589 199017 205335 207095 212139 216489 220675 222345 226981 230763 234423 235225 236925 238329 241865 245895 249795 254043 257725 266175 266265 274995 278343 279075 283725 287469 288225 301401 306423 311283 321165 329315 331695 338611 342225 344253 353565 360815 360937 366951 369603 370575 372771 382725 384605 390705 397215 409825 416325 423405 435357 442611 443775 449631 458325 463905 479115 479277 494991 502335 510705 518805 535275 538447 552825 573755 573949 578097 589275 592767 611585 616005 621285 628849 649467 651175 662025 667035 680943 692289 703269 705675 710775 714987 725595 737685 749385 762129 773175 798525 798795 824985 835029 837225 851175 856219 862407 864675 904203 919269 933849 963495 987945 995085 999973 1015833 1026675 1032759 1035475 1060695 1082445 1082811 1100853 1111725 1118313 1134905 1153815 1172115 1191645 1209325 1229475 1248975 1270215 1306071 1327833 1331325 1348893 1374975 1391715 1437345 1437831 1484973 1507005 1532115 1556415 1588867 1590121 1605825 1615341 1646575 1658475 1693055 1721265 1721847 1734291 1767825 1778301 1804075 1804685 1834755 1848015 1863855 1886547 1923025 1948401 1953525 1986075 2042829 2076867 2109807 2117025 2144961 2176785 2213055 2248155 2286387 2319525 2395575 2396385 2474955 2505087 2511675 2526559 2553525 2568657 2587221 2594025 2692235 2712609 2757807 2868775 2869745 2890485 2950753 2963835 2999919 3047499 3057925 3080025 3098277 3106425 3144245 3247335 3248433 3302559 3335175 3354939 3404715 3461445 3516345 3574935 3627975 3688425 3746925 3810645 3918213 3983499 3993975 4017643 4046679 4124925 4175145 4281095 4312035 4313493 4401943 4521015 4596345 4669245 4692181 4766601 4770363 4817475 4846023 4939725 4975425 4999865 5079165 5163795 5165541 5303475 5334903 5412225 5414055 5504265 5591565 5659641 5674525 5769075 5845203 5860575 5958225 6128487 6230601 6329421 6351075 6434883 6530355 6639165 6744465 6859161 6958575 6999811 7186725 7189155 7424865 7461337 7515261 7535025 7579677 7660575 7705971 7782075 7944335 7950605 8076705 8137827 8465275 8606325 8609235 8671455 8852259 8891505 8999757 9023425 9142497 9173775 9240075 9294831 9319275 9432735 9742005 9745299 9907677 10064817 10214145 10384335 10549035 10724805 10883925 11065275 11130847 11240775 11431935 11754639 11950497 11981925 12052929 12140037 12374775 12525435 12632795 12843285 12936105 12940479 13205829 13461175 13563045 13789035 14076543 14299803 14311089 14348725 14452425 14538069 14753765 14819175 14999595 15237495 15491385 15496623 15721225 16004709 16236675 16242165 16512795 16774695 16978923 17023575 17307225 17535609 17581725 17874675 18385461 18691803 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568475775 575396835 577947825 594262305 594463239 604368297 613953837 624183651 633444435 643491135 643999005 654213105 663919425 674981775 678981667 685687275 697112325 697348035 717032979 720211905 728980317 730897425 735228669 740542257 743075775 754861275 764051535 770600495 783440385 789102405 789369219 805555569 821131675 827345745 834813525 841131135 858669123 872976429 875272225 881597925 886822209 896287275 901598607 903969675 914975295 929487195 944974485 945294003 958994725 976287249 990437175 990772065 1007280495 1023256395 1035714303 1040306085 1055740725 1069672149 1072485225 1073331675 1090355175 1140199983 1158284043 1159198209 1162246725 1177583589 1195054965 1200353175 1214967195 1225381115 1234237095 1254802185 1255226463 1273419225 1280965413 1305733975 1315170675 1315615365 1337536395 1342592615 1365424671 1375292763 1378909575 1387080891 1401885225 1410192693 1424119725 1431115205 1454960715 1478037015 1502664345 1524958825 1549145325 1574957475 1575490005 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102406850325 103758198453 104031066825 105764451975 108750001815 110599398351 112353552171 114225608133 115920331605 117851817915 119720998215 121715811945 123521664825 124253645061 125480771325 127571555475 127614690405 130231483655 133403398011 133754228775 134546846427 135982866825 138139613325 138818174885 139821430905 143369590455 147921006025 150267096525 152770875075 159754686507 160174817175 161332420275 162288464247 164992545081 165426450525 167440478985 172930330755 172988802549 178660566567 181250003025 184332330585 187255920285 190376013555 193200552675 194345444839 195750003267 196419696525 199534997025 202859686575 207089408435 208656596889 212133272247 212691150675 219664631025 222338996685 224244744045 225865388385 233035718175 234416670579 238949317425 240676233525 240757611795 249872714793 256544996175 258065262819 266257810845 270480773745 274987575135 279067464975 288217217925 288314670915 297767610945 301392862173 307220550975 311274595359 312093200475 317293355925 326250005445 331798195053 337060656513 347760994815 353555453745 359162994645 360927254701 370564994475 372760935183 373741240075 376442313975 382714666425 382844071215 390694450965 401262686325 403640539281 407948600475 416454524655 419464292715 430108771365 443763018075 450801289575 458312625225 479264059521 480524451525 486865392741 494977635243 496279351575 502321436955 518790992265 518966407647 535981699701 543750009075 552996991755 561767760855 571128040665 579601658025 583036334517 587250009801 589259089575 598604991075 608579059725 621268225305 625969790667 638073452025 651157418275 667016990055 672734232135 694090874425 699107154525 703250011737 716847952275 749618144379 774195788457 798773432535 811442321235 824962725405 837202394925 864651653775 864944012745 893302832835 904178586519 921661652925 933823786077 936279601425 951880067775 971727224195 978750016335 995394585159 1035447042175 1043282984445 1060666361235 1082781764103 1111694983425 1118282805549 1121223720225 1129326941925 1172083352895 1203788058975 1210921617843 1249363573965 1290326314095 1331289054225 1352403868725 1374937875675 1437792178563 1441573354575 1460596178223 1484932905729 1488838054725 1506964310865 1556372976795 1556899222941 1631250027225 1658990975265 1685303282565 1738804974075 1749109003551 1767777268725 1795814973225 1804636273505 1863804675915 1914220356075 1953472254825 2018202696405 2082272623275 2097321463575 2109750035211 2150543856825 2248854433137 2322587365371 2396320297605 2434326963705 2474888176215 2511607184775 2526490782907 2593954961325 2594832038235 2679908498505 2712535759557 2764984958775 2808838804275 2855640203325 2915181672585 2936250049005 3106341126525 3129848953335 3248345292309 3335084950275 3354848416647 3363671160675 3516250058685 3632764853529 3748090721895 3870978942285 3993867162675 4057211606175 4124813627025 4313376535689 4324720063725 4381788534669 4466514164175 4520892932595 4669118930385 4670697668823 4858636120975 4893750081675 4976972925795 5216414922225 5247327010653 5303331806175 5413908820515 5591414027745 5860416764475 6054608089215 6246817869825 6329250105633 6451631570475 6746563299411 6967762096113 7188960892815 7302980891115 7424664528645 7534821554325 7579472348721 7781864883975 7784496114705 8137607278671 8294954876325 8426516412825 8745545017755 9023181367525 9319023379575 9745035876927 10064545249941 10091013482025 10548750176055 10898294560587 11244272165685 11612936826855 11981601488025 12171634818525 12374440881075 12632453914535 12940129607067 12974160191175 13399542492525 13562678797785 14575908362925 14681250245025 15649244766675 15741981031959 16241726461545 16774242083235 17581250293425 18163824267645 18740453609475 18987750316899 19354894711425 20239689898233 21566882678445 21908942673345 22604464662975 22738417046163 23345594651925 23353488344115 24884864628975 26236635053265 27069544102575 27957070138725 29235107630781 30193635749823 30273040446075 31646250528165 32694883681761 33732816497055 34838810480565 35944804464075 36514904455575 37123322643225 37897361743605 38922480573525 40688036393355 43727725088775 47225943095877 48725179384635 50322726249705 52743750880275 54491472802935 56221360828425 56963250950697 58064684134275 60719069694699 63162269572675 64700648035335 67813393988925 68215251138489 78709905159795 81208632307725 83871210416175 87705322892343 90580907249469 90819121338225 94938751584495 101198449491165 107834413392225 109544713366725 113692085230815 116767441720575 131183175266325 141677829287631 146175538153905 150968178749115 158231252640825 163474418408805 168664082485275 174194052402825 189486808718025 203440181966775 204645753415467 236129715479385 243625896923175 251613631248525 263115968677029 272457364014675 284816254753485 303595348473495 323503240176675 341076255692445 393549525798975 425033487862893 438526614461715 452904536247345 474693757922475 505992247455825 568460426154075 613937260246401 708389146438155 730877690769525 754840893745575 789347906031087 817372092044025 1023228767077335 1180648577396925 1315579843385145 1424081273767425 1517976742367475 1705381278462225 1841811780739203 2125167439314465 2192633072308575 2264522681236725 3069686301232005 3541945732190775 3946739530155435 5116143835386675 5525435342217609 6577899216925725 9209058903696015 10625837196572325 15348431506160025 19733697650777175 27627176711088045 46045294518480075 138135883555440225
- Sum of all divisors σ(n): 326578933524072960
- Sum of proper divisors (its aliquot sum) s(n): 188443049968632735
- 138135883555440225 is an abundant number, because the sum of its proper divisors (188443049968632735) is greater than itself. Its abundance is 50307166413192510
Bases of 138135883555440225
- Binary: 1111010101100000111011010101011100000111010000110011000012
- Hexadecimal: 0x1EAC1DAAE0E8661
- Base-36: 11S530UI3529
Squares and roots of 138135883555440225
- 138135883555440225 squared (1381358835554402252) is 19081522325642141176701193548050625
- 138135883555440225 cubed (1381358835554402253) is 2635842946035435767351472562582551715174662461390625
-
The
square root of 138135883555440225 is 371666360.5378353651 -
The
cube root of 138135883555440225 is 516934.4827733815
Scales and comparisons
How big is 138135883555440225?- 138,135,883,555,440,225 seconds is equal to 4,392,293,814 years, 37 weeks, 3 days, 8 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,135,883,555,440,225 would take you about thirteen billion, one hundred seventy-six million, eight hundred eighty-one thousand, four hundred forty-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 138135883555440225 cubic inches would be around 43077.9 feet tall.
Recreational maths with 138135883555440225
- 138135883555440225 backwards is 522044555388531831
- The number of decimal digits it has is: 18
- The sum of 138135883555440225's digits is 72
- More coming soon!
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"Number 138135883555440225 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138135883555440225 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138135883555440225/
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The information we have on file for 138135883555440225 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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