138742045310062350
138,742,045,310,062,350 is an even composite number composed of six prime numbers multiplied together.
What does the number 138742045310062350 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138742045310062350 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138742045310062350:
2 × 35 × 52 × 13 × 613 × 1573
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 61 × 61 × 61 × 157 × 157 × 157)See below for interesting mathematical facts about the number 138742045310062350 from the Numbermatics database.
Names of 138742045310062350
- Cardinal: 138742045310062350 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, forty-five billion, three hundred ten million, sixty-two thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.3874204531006235 × 1017
Factors of 138742045310062350
Divisors of 138742045310062350
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 61 65 75 78 81 90 117 122 130 135 150 157 162 183 195 225 234 243 270 305 314 325 351 366 390 405 450 471 486 549 585 610 650 675 702 785 793 810 915 942 975 1053 1098 1170 1215 1350 1413 1525 1570 1586 1647 1755 1830 1950 2025 2041 2106 2355 2379 2430 2745 2826 2925 3050 3159 3294 3510 3721 3925 3965 4050 4082 4239 4575 4710 4758 4941 5265 5490 5850 6075 6123 6318 7065 7137 7442 7850 7930 8235 8478 8775 9150 9577 9882 10205 10530 11163 11775 11895 12150 12246 12717 13725 14130 14274 14823 15795 16470 17550 18369 18605 19154 19825 20410 21195 21411 22326 23550 23790 24649 24705 25434 26325 27450 28731 29646 30615 31590 33489 35325 35685 36738 37210 38151 39650 41175 42390 42822 47885 48373 49298 49410 51025 52650 55107 55815 57462 59475 61230 63585 64233 66978 70650 71370 73947 74115 76302 78975 82350 86193 91845 93025 95770 96746 100467 102050 105975 107055 110214 111630 118950 123245 123525 124501 127170 128466 143655 145119 147894 148230 153075 157950 165321 167445 172386 178425 183690 186050 190755 192699 200934 211950 214110 221841 226981 239425 241865 246490 247050 249002 258579 275535 279075 287310 290238 301401 306150 317925 320437 321165 330642 334890 356850 369735 370575 373503 381510 385398 430965 435357 443682 453962 459225 478850 483730 495963 502335 517158 535275 551070 558150 584197 602802 616225 622505 635850 640874 642330 665523 680943 718275 725595 739470 741150 747006 775737 826605 837225 861930 870714 904203 918450 953775 961311 963495 991926 1004670 1070550 1109205 1120509 1134905 1168394 1209325 1232450 1245010 1292895 1306071 1331046 1361886 1377675 1436550 1451190 1503589 1507005 1551474 1602185 1605825 1653210 1674450 1752591 1808406 1848675 1867515 1907550 1922622 1926990 1996569 2042829 2154825 2176785 2218410 2241018 2269810 2327211 2418650 2479815 2511675 2585790 2612142 2755350 2883933 2920985 2950753 3007178 3014010 3112525 3204370 3211650 3327615 3361527 3404715 3505182 3627975 3697350 3735030 3869893 3878685 3918213 3993138 4085658 4133025 4309650 4353570 4510767 4521015 4654422 4806555 4817475 4959630 5023350 5257773 5546025 5602545 5674525 5767866 5841970 5901506 5989707 6128487 6225050 6464475 6530355 6655230 6723054 6809430 7255950 7517945 7535025 7594561 7739786 7757370 7836426 8010925 8266050 8651799 8762955 8852259 9021534 9042030 9337575 9613110 9634950 9982845 10084581 10214145 10515546 10883925 11092050 11205090 11349050 11609679 11636055 11754639 11979414 12256974 12399075 12928950 13060710 13532301 14419665 14604925 14753765 15035890 15070050 15189122 15773319 16021850 16638075 16807635 17023575 17303598 17525910 17704518 18385461 18675150 19349465 19393425 19546657 19591065 19965690 20169162 20428290 21767850 22553835 22605075 22783683 23219358 23272110 23509278 24032775 24798150 25955397 26288865 26556777 27064602 28012725 28839330 29209850 29507530 29948535 30253743 30642435 31546638 32651775 33276150 33615270 34047150 34829037 35636017 36770922 37589725 37972805 38698930 38786850 39093314 39182130 40596903 43258995 43814775 44261295 45107670 45210150 45567366 47319957 48065550 49914225 50308609 50422905 51070725 51910794 52577730 53113554 55156383 56025450 58048395 58180275 58639971 58773195 59897070 60507486 61284870 65303550 67661505 68351049 69658074 71272034 72098325 73768825 75179450 75945610 77866191 78866595 79670331 81193806 84038175 86517990 87629550 88522590 91718929 91927305 94639914 96747325 97733285 97955325 99828450 100617218 100845810 102141450 104487111 106908051 110312766 112769175 113918415 116096790 116360550 117279942 117546390 121790709 129776985 131444325 132783885 135323010 136702098 141959871 144196650 147537650 149742675 150925827 151268715 153212175 155732382 157733190 159340662 168076350 174145185 175919913 178180085 183437858 183854610 189864025 193494650 195466570 195910650 202984515 205053147 208974222 213816102 216294975 221306475 225538350 227836830 236063473 236599785 239010993 243581418 251543045 252114525 259553970 262888650 265567770 275156787 275781915 283919742 290241975 293199855 293865975 299485350 301851654 302537430 306424350 313461333 320724153 338307525 341755245 348290370 351839826 356360170 365372127 379728050 389330955 394332975 398351655 405969030 410106294 432589950 442612950 452777481 458594645 459636525 463268221 472126946 473199570 478021986 488666425 503086090 504229050 522435555 527759739 534540255 550313574 551563830 569592075 580483950 586399710 587731950 608953545 615159441 626922666 641448306 648884925 663919425 676615050 683510490 708190419 709799355 717032979 730744254 754629135 756343575 778661910 788665950 796703310 825470361 870725925 879599565 890900425 905554962 917189290 919273050 926536442 940383999 962172459 977332850 1014922575 1025265735 1044871110 1055519478 1069080510 1139184150 1180317365 1182998925 1192346077 1195054965 1217907090 1230318882 1257715225 1297769850 1327838850 1358332443 1375783935 1378909575 1389804663 1416380838 1419598710 1434065958 1465999275 1509258270 1512687150 1567306665 1583279217 1603620765 1650940722 1708776225 1741451850 1759199130 1781800850 1826860635 1845478323 1880767998 1924344918 1946654775 1991758275 2029845150 2050531470 2124571257 2263887405 2292973225 2316341105 2360634730 2365997850 2384692154 2390109930 2476411083 2515430450 2612177775 2638798695 2672701275 2716664886 2751567870 2757819150 2779609326 2886517377 2931998550 3044767725 3068825149 3075797205 3134613330 3166558434 3207241530 3417552450 3540952095 3548996775 3577038231 3585164895 3653721270 3690956646 3773145675 3893309550 3983516550 4074997329 4127351805 4169413989 4249142514 4397997825 4527774810 4585946450 4632682210 4701919995 4749837651 4810862295 4952822166 5126328675 5224355550 5277597390 5345402550 5594854669 5773034754 5901586825 5961730385 5975274825 6089535450 6137650298 6151594410 6373713771 6791662215 6878919675 6949023315 7081904190 7097993550 7154076462 7170329790 7429233249 7546291350 7836533325 7916396085 8018103825 8149994658 8254703610 8338827978 8659552131 8795995650 9134303175 9206475447 9227391615 9403839990 9499675302 9621724590 10252657350 10622856285 10731114693 11189709338 11319437025 11581705525 11803173650 11923460770 11950549650 12224991987 12382055415 12508241967 12747427542 13193993475 13583324430 13757839350 13898046630 14399871853 14432586885 14858466498 15344125745 15378986025 15673066650 15832792170 16036207650 16784564007 17319104262 17704760475 17885191155 17925824475 18268606350 18412950894 18454783230 19121141313 20374986645 20636759025 20847069945 21245712570 21462229386 22287699747 22638874050 23163411050 23509599975 23749188255 24054311475 24449983974 24764110830 25016483934 26387986950 27619426341 27974273345 28799743706 28865173770 29808651925 30688251490 30757972050 31868568855 32193344079 33569128014 33958311075 34745116575 35409520950 35770382310 35851648950 37146166245 37524725901 38242282626 39581980425 40749973290 41273518050 41694139890 43199615559 43297760655 44575399494 46032377235 46136958075 47019199950 47498376510 48108622950 50353692021 53114281425 53655573465 55238852682 55948546690 57363423939 59617303850 61124959935 61910277075 62541209835 63737137710 64386688158 67916622150 69490233150 71999359265 72162934425 72733110697 74292332490 75049451802 76720628725 79163960850 82858279023 83922820035 86399231118 86595521310 89425955775 92064754470 92273916150 95605706565 96580032237 100707384042 101874933225 104235349725 106228562850 107311146930 111438498735 112574177703 114726847878 118745941275 122249919870 123820554150 125082419670 129598846677 138097131705 139871366725 143998718530 144325868850 145466221394 151061076063 153441257450 159342844275 160966720395 165716558046 167845640070 178851911550 185730831225 187198334089 187623629505 191211413130 193160064474 203749866450 208470699450 215998077795 216488803275 218199332091 222876997470 225148355406 230161886175 237491882550 248574837069 251768460105 259197693354 268277867325 276194263410 279742733450 286817119695 289740096711 302122152126 305624799675 312706049175 318685688550 321933440790 359996796325 363665553485 371461662450 374396668178 375247259010 388796540031 414291395115 419614100175 431996155590 432977606550 436398664182 453183228189 460323772350 478028532825 482900161185 497149674138 503536920210 536555734650 557192493675 561595002267 562870888515 573634239390 579480193422 611249599350 625412098350 647994233385 654597996273 690485658525 719993592650 727331106970 745724511207 755305380315 777593080062 804833601975 828582790230 839228200350 878392183033 906366456378 935991670445 938118147525 956057065650 965800322370 1079990388975 1090996660455 1114384987350 1123190004534 1125741777030 1166389620093 1242874185345 1258842300525 1295988466770 1309195992546 1359549684567 1380971317050 1434085598475 1448700483555 1491449022414 1510610760630 1609667203950 1684785006801 1756784366066 1818327767425 1871983340890 1876236295050 1943982700155 1963793988819 2071456975575 2159980777950 2181993320910 2265916140945 2332779240186 2414500805925 2485748370690 2517684601050 2635176549099 2719099369134 2807975011335 2814354442575 2868171196950 2897400967110 3239971166925 3272989981365 3369570013602 3499168860279 3636655534850 3728622556035 3776526901575 3887965400310 3927587977638 4142913951150 4391960915165 4531832281890 4679958352225 4829001611850 5054355020403 5270353098198 5454983302275 5615950022670 5628708885150 5831948100465 5891381966457 6214370926725 6479942333850 6545979962730 6797748422835 6998337720558 7243502417775 7457245112070 7553053803150 7905529647297 8423925034005 8783921830330 9359916704450 9719913500775 9818969944095 10108710040806 10909966604550 11329580704725 11419098379429 11663896200930 11782763932914 12428741853450 13175882745495 13595496845670 14039875056675 14487004835550 15163065061209 15811059294594 16364949906825 16847850068010 17495844301395 17674145899371 18643112780175 19439827001550 19637939888190 21959804575825 22659161409450 22838196758858 23716588941891 25271775102015 26351765490990 28079750113350 29159740502325 29456909832285 30326130122418 32729899813650 33988742114175 34257295138287 34991688602790 35348291798742 37286225560350 39527648236485 42119625170025 43919609151650 45489195183627 47433177883782 49094849720475 50543550204030 57095491897145 58319481004650 58913819664570 65879413727475 67977484228350 68514590276574 71149766825673 75815325306045 79055296472970 84239250340050 87479221506975 88370729496855 90978390367254 98189699440950 102771885414861 114190983794290 118582944709455 126358875510075 131758827454950 142299533651346 147284549161425 151630650612090 171286475691435 174958443013950 176741458993710 197638241182425 205543770829722 213449300477019 227445975918135 237165889418910 252717751020150 285477459485725 294569098322850 308315656244583 342572951382870 355748834128365 379076626530225 395276482364850 426898600954038 441853647484275 454891951836270 513859427074305 570954918971450 592914723547275 616631312489166 711497668256730 758153253060450 856432378457175 883707294968550 924946968733749 1027718854148610 1067246502385095 1137229879590675 1185829447094550 1541578281222915 1712864756914350 1778744170641825 1849893937467498 2134493004770190 2274459759181350 2569297135371525 2774840906201247 3083156562445830 3557488341283650 4624734843668745 5138594270743050 5336232511925475 5549681812402494 7707891406114575 9249469687337490 10672465023850950 13874204531006235 15415782812229150 23123674218343725 27748409062012470 46247348436687450 69371022655031175 138742045310062350
- Sum of all divisors σ(n): 425945894607542400
- Sum of proper divisors (its aliquot sum) s(n): 287203849297480050
- 138742045310062350 is an abundant number, because the sum of its proper divisors (287203849297480050) is greater than itself. Its abundance is 148461803987417700
Bases of 138742045310062350
- Binary: 1111011001110100100100111101101100001111000001111000011102
- Hexadecimal: 0x1ECE927B61E0F0E
- Base-36: 11Y3Y7PO5MVI
Squares and roots of 138742045310062350
- 138742045310062350 squared (1387420453100623502) is 19249355136819394129150160887522500
- 138742045310062350 cubed (1387420453100623503) is 2670694902582077826846080302874389021175812027875000
-
The
square root of 138742045310062350 is 372480932.8141003649 -
The
cube root of 138742045310062350 is 517689.5091099539
Scales and comparisons
How big is 138742045310062350?- 138,742,045,310,062,350 seconds is equal to 4,411,567,883 years, 27 weeks, 6 days, 4 hours, 52 minutes, 30 seconds.
-
To count from 1 to 138,742,045,310,062,350 would take you about thirteen billion, two hundred thirty-four million, seven hundred three thousand, six hundred fifty 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 138742045310062350 cubic inches would be around 43140.8 feet tall.
Recreational maths with 138742045310062350
- 138742045310062350 backwards is 053260013540247831
- 138742045310062350 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138742045310062350's digits is 54
- More coming soon!
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"Number 138742045310062350 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138742045310062350 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138742045310062350/
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The information we have on file for 138742045310062350 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!
Keywords: Divisors of 138742045310062350, math, Factors of 138742045310062350, curriculum, school, college, exams, university, Prime factorization of 138742045310062350, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-two trillion, forty-five billion, three hundred ten million, sixty-two thousand, three hundred fifty.