138305149465972125
138,305,149,465,972,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138305149465972125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138305149465972125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138305149465972125:
3 × 53 × 73 × 132 × 173 × 1093
(3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 109 × 109 × 109)See below for interesting mathematical facts about the number 138305149465972125 from the Numbermatics database.
Names of 138305149465972125
- Cardinal: 138305149465972125 can be written as One hundred thirty-eight quadrillion, three hundred five trillion, one hundred forty-nine billion, four hundred sixty-five million, nine hundred seventy-two thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38305149465972125 × 1017
Factors of 138305149465972125
Divisors of 138305149465972125
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 5 7 13 15 17 21 25 35 39 49 51 65 75 85 91 105 109 119 125 147 169 175 195 221 245 255 273 289 325 327 343 357 375 425 455 507 525 545 595 637 663 735 763 833 845 867 875 975 1029 1105 1183 1225 1275 1365 1417 1445 1547 1625 1635 1715 1785 1853 1911 2023 2125 2275 2289 2499 2535 2625 2725 2873 2975 3185 3315 3549 3675 3757 3815 4165 4225 4251 4335 4459 4641 4875 4913 5145 5341 5525 5559 5831 5915 6069 6125 6375 6825 7085 7225 7735 8175 8281 8575 8619 8925 9265 9555 9919 10115 10829 11271 11375 11445 11881 12495 12675 12971 13377 13625 14161 14365 14739 14875 15925 16023 16575 17493 17745 18375 18421 18785 19075 20111 20825 21125 21255 21675 22295 23205 24089 24565 24843 25725 26299 26705 27625 27795 29155 29575 29757 30345 31501 32487 34125 34391 35425 35643 36125 37387 38675 38913 40875 41405 42483 42875 43095 44625 46325 47775 48841 49595 50575 54145 55263 56355 57225 57967 59405 60333 62475 63375 63869 64855 66885 69433 70805 71825 72267 73695 75803 78897 79625 80115 82875 83167 87465 88725 90797 92105 93925 94503 95375 99127 100555 103173 104125 106275 108375 111475 112161 116025 120445 122825 124215 128625 128947 131495 133525 138975 140777 145775 146523 147875 148785 151725 154453 157505 162435 168623 171955 173901 177125 178215 184093 186935 191607 193375 194565 201977 207025 208299 212415 215475 220507 227409 231625 238875 240737 244205 247975 249501 252875 270725 272391 276315 281775 286125 289835 297025 297381 301665 312375 313157 319345 324275 334425 341887 347165 354025 359125 361335 368475 379015 386841 394485 400575 409513 415835 422331 437325 443625 447083 453985 460525 463359 469625 472515 486031 495635 502775 505869 515865 531375 535517 552279 557375 560805 580125 582169 602225 605931 614125 621075 635579 644735 657475 661521 667625 694875 703885 722211 728875 732615 743925 758625 772265 787525 812175 830297 843115 859775 869505 891075 902629 920465 934675 939471 958035 972825 985439 1009885 1025661 1035125 1041495 1062075 1077375 1081171 1102535 1137045 1180361 1203685 1221025 1228539 1239875 1247505 1288651 1295029 1341249 1353625 1361955 1381575 1408875 1413839 1449175 1458093 1485125 1486905 1508325 1543549 1565785 1596725 1606551 1621375 1672125 1685159 1709435 1735825 1746507 1770125 1806675 1842375 1895075 1906737 1934205 1972425 2002875 2007889 2047565 2079175 2111655 2186625 2192099 2235415 2269925 2302625 2316795 2362575 2393209 2430155 2478175 2490891 2513875 2529345 2579325 2625701 2677585 2707887 2761395 2804025 2866591 2910845 2956317 3011125 3029655 3105375 3129581 3177895 3223675 3243513 3287375 3307605 3433609 3519425 3541083 3611055 3663075 3719625 3748619 3861325 3865953 3885087 3937625 4060875 4075183 4151485 4215575 4241517 4298875 4347525 4455375 4513145 4602325 4630647 4673375 4697355 4790175 4864125 4927195 5049425 5055477 5128305 5207475 5310375 5323669 5405855 5512675 5685225 5812079 5901805 6018425 6023667 6105125 6142695 6237525 6318403 6443255 6475145 6576297 6706245 6809775 6907875 6961721 7069195 7179627 7245875 7290465 7434525 7541625 7568197 7717745 7828925 7877103 7983625 8032755 8262527 8425795 8547175 8599773 8679125 8732535 9033375 9065203 9388743 9475375 9533685 9671025 9862125 9896873 10039445 10237825 10300827 10395875 10558275 10804843 10960495 11177075 11245857 11349625 11583975 11812875 11966045 12150775 12225549 12390875 12454455 12646725 12896625 13128505 13387925 13539435 13806975 14020125 14055223 14332955 14554225 14781585 15148275 15344693 15647905 15889475 15971007 16118375 16217565 16538025 16752463 16835377 17168045 17436237 17597125 17705415 18055275 18315375 18379907 18743095 18955209 19306625 19329765 19425435 20066137 20375915 20757425 20885163 21077875 21207585 21737625 21907067 22015493 22565725 22704591 23011625 23153235 23486775 23950875 24035263 24635975 24787581 25247125 25277385 25641525 26037375 26240333 26618345 27029275 27195609 27563375 28426125 29060395 29509025 29690619 30092125 30118335 30713475 31187625 31592015 32216275 32375725 32414529 32881485 33531225 34048875 34134113 34808605 35345975 35898135 36452325 37172625 37265683 37840985 38588725 39144625 39385515 40163775 40684553 41312635 42128975 42165669 42735875 42998865 43662675 44636917 45326015 46034079 46943715 47668425 48355125 48732047 49484365 50197225 50257389 50506131 51189125 51504135 52791375 52977379 54024215 54802475 55139721 55885375 56229285 57919875 58371353 59830225 60198411 60753875 61127745 62272275 63233625 63456421 65642525 65721201 66046479 66939625 67697175 69034875 69278111 70276115 71664775 72105789 72771125 73907925 75741375 76723465 78239525 78720999 79447375 79855035 81087825 82690125 83762315 84176885 85840225 87181185 88527075 90276375 90502373 91899535 93715475 94776045 96648825 97127175 98386561 100330685 101879575 102402339 103787125 104425815 106037925 107412851 109535335 110077465 111797049 112828625 113522955 115766175 117433875 117847639 120176315 122053659 123179875 123937905 126386925 128207625 128659349 131201665 133091725 133910751 135146375 135978045 140462959 145301975 146196141 147545125 148453095 150591675 153567375 154108451 157960075 158932137 161081375 161878625 162072645 164407425 167656125 168246841 170670565 174043025 175114059 176729875 179490675 182261625 183682331 186328415 189204925 190369263 192943625 196927575 200818875 203422765 206563175 207834333 210644875 210828345 214994325 218313375 218859901 223184585 226630075 230170395 234718575 238342125 238938791 243660235 247421825 250986125 251286945 252530655 257520675 260859781 264886895 270121075 271507119 274012375 275698605 281146425 284791871 286201409 291856765 295159683 299151125 300992055 305638725 311361375 312458419 317282105 322238553 328212625 328606005 330232395 338485875 341124329 346390555 351380575 353542917 358323875 360528945 369539625 374263381 383617325 385978047 391197625 393604995 399275175 405439125 408599471 418811575 420884425 421388877 429201125 435905925 442635375 444194947 452511865 459497675 462325353 468577375 473880225 483244125 485635875 491932805 501653425 504740523 509397875 512011695 522129075 530189625 537064255 547676675 550387325 551046993 558985245 567614775 578830875 580279921 589238195 600881575 610268295 619689525 631934625 633516611 643296745 656008325 656579703 665458625 669553755 679890225 688705927 702314795 716816373 726509875 730980705 742265475 752958375 758827589 770542255 782579343 789800375 794660685 810363225 822037125 824933473 841234205 853352825 854375613 858604227 870215125 875570295 897453375 900615443 918411655 931642075 937375257 946024625 951846315 984637875 1017113825 1023372987 1032815875 1039171665 1054141725 1074971625 1078759157 1094299505 1115922925 1122790143 1133150375 1150851975 1173592875 1177727887 1194693955 1218301175 1225798413 1237109125 1256434725 1262653275 1287603375 1304298905 1324434475 1332584841 1350605375 1357535595 1378493025 1405732125 1423959355 1431007045 1459283825 1475798415 1504960275 1528193625 1532019307 1562292095 1586410525 1611192765 1643030025 1651161975 1672571537 1705621645 1731952775 1740839763 1756902875 1767714585 1802644725 1826018467 1871316905 1900549833 1918086625 1929890235 1968024975 1996375875 2003409863 2042997355 2066117781 2094057875 2104422125 2106944385 2179529625 2187208933 2220974735 2262559325 2276482767 2297488375 2311626765 2369401125 2387870303 2459664025 2474800419 2508267125 2523702615 2560058475 2610645375 2619843667 2685321275 2701846329 2738383375 2751936625 2755234965 2794926225 2838073875 2860196297 2901399605 2946190975 3004407875 3051341475 3098447625 3167583055 3216483725 3236277471 3280041625 3282898515 3347768775 3399451125 3443529635 3511573975 3533183661 3584081865 3654903525 3711327375 3720618317 3794137945 3852711275 3912896715 3973303425 4051816125 4061959447 4124667365 4206171025 4266764125 4271878065 4293021135 4377851475 4434616277 4503077215 4592058275 4596057921 4658210375 4686876285 4759231575 4865423953 5017714611 5085569125 5116864935 5195858325 5270708625 5311793123 5393795785 5471497525 5478055401 5579614625 5613950715 5754259875 5774534311 5888639435 5973469775 6010229589 6091505875 6128992065 6282173625 6313266375 6362477477 6521494525 6561626799 6622172375 6662924205 6787677975 6892465125 7119796775 7155035225 7163610909 7296419125 7378992075 7524801375 7551314099 7660096535 7811460475 7859531001 7932052625 8055963825 8215150125 8255809875 8362857685 8528108225 8580588891 8659763875 8704198815 8838572925 9013223625 9130092335 9356584525 9502749165 9649451175 9840124875 9864758657 10017049315 10214986775 10330588905 10534721925 10724135149 10936044665 11104873675 11161854951 11312796625 11382413835 11558133825 11708000759 11939351515 12185878341 12298320125 12374002095 12618513075 12800292375 13099218335 13303848831 13426606375 13509231645 13776174825 13974631125 14023869041 14300981485 14506998025 14596271859 14730954875 15256707375 15310462531 15837915275 15935379369 16082418625 16181387355 16414492575 16738843875 17217648175 17323602933 17557869875 17665918305 17920409325 18274517625 18338905669 18603091585 18970689725 19087432431 19263556375 19564483575 19866517125 20021374079 20309797235 20623336825 21030855125 21359390325 21465105675 21889257375 22173081385 22515386075 22653942297 22960291375 22980289605 23434381425 23796157875 24327119765 25088573055 25584324675 25979291625 26044328219 26558965615 26968978925 27357487625 27390277005 28069753575 28433716129 28872671555 29443197175 29594275971 29867348875 30051147945 30644960325 31042313939 31812387385 32172405447 32607472625 32808133995 33314621025 33938389875 34057967671 35124002277 35598983875 35775176125 35818054545 36894960375 37182551861 37756570495 38300482675 39057302375 39297655005 40279819125 41814288425 42071607123 42640541125 42902944455 43520994075 44192864625 44537342339 45650461675 45931387593 46782922625 47513745825 48247255875 49323793285 50085246575 51074933875 51652944525 52673609625 53620675745 54680223325 55016717007 55524368375 55809274755 56912069175 57790669125 58540003795 59696757575 60064122237 60929391705 61870010475 63092565375 63250511389 65496091675 66519244155 67546158225 68880874125 69053310599 70119345205 71504907425 72534990125 72981359295 75068946043 76552312655 78132984657 79189576375 79676896845 80906936775 82072462875 82712207201 85301148387 86088240875 86618014665 88329591525 89602046625 91694528345 93015457925 93126941817 94853448625 95437162155 97822417875 98167083287 100106870395 101548986175 102173903013 103116684125 106796951625 107325528375 110865406925 111547655583 112576930375 113269711485 114901448025 117171907125 121635598825 125442865275 127921623375 128372339683 130221641095 132794828075 133612027017 134844894625 136951385025 140348767875 142168580645 144363357775 147215985875 147971379855 150255739725 153224801625 155211569695 159061936925 160862027235 164040669975 166573105125 170289838355 175620011385 179090272725 182310297533 185912759305 188782852475 189751534167 191502413375 196488275025 199036012903 207159931797 209071442125 210358035615 214514722275 217604970375 222686711695 225206838129 228252308375 229656937965 237568729125 238405773697 246618966425 248136621603 250426232875 258264722625 260277863027 268103378725 273401116625 275083585035 279046373775 284560345875 292700018975 294501249861 298483787875 300320611185 304646958525 309350052375 311761396373 316252556945 327480458375 332596220775 337730791125 345266552995 350596726025 357524537125 364906796475 375344730215 382761563275 385117019049 390664923285 398384484225 404534683875 413561036005 426505741935 433090073325 441647957625 442753579723 458472641725 465077289625 465634709085 477185810775 483373174193 490835416435 500534351975 507744930875 510869515065 546930892599 554327034625 557738277915 566348557425 574507240125 578985450407 597108038709 608177994125 627214326375 641861698415 651108205475 663974140375 668060135085 684756925125 710842903225 715217321091 721816788875 739856899275 751278698625 776057848475 780833589081 795309684625 804310136175 820203349875 851449191775 878100056925 895451363625 911551487665 929563796525 935284189119 943914262375 948757670835 982441375125 995180064515 1035799658985 1051790178075 1072573611375 1075258693613 1113433558475 1126034190645 1148284689825 1192028868485 1233094832125 1240683108015 1276172082731 1301389315135 1328260739169 1340516893625 1375417925175 1395231868875 1450119522579 1463500094875 1472506249305 1501603055925 1523234792625 1558806981865 1581262784725 1662981103875 1668840415879 1726332764975 1736956351221 1752983630125 1824533982375 1876723651075 1913807816375 1925585095245 1953324616425 1991922421125 2067805180025 2132528709675 2165450366625 2182329774611 2213767898615 2292363208625 2328173545425 2385929053875 2416865870965 2454177082175 2502671759875 2554347575325 2734654462995 2788691389575 2831742787125 2894927252035 2985540193545 3099275058061 3209308492075 3225776080839 3255541027375 3340300675425 3383612219351 3554214516125 3576086605455 3699284496375 3828516248193 3880289242375 3904167945405 4021550680875 4052898152849 4257245958875 4390500284625 4557757438325 4647818982625 4676420945595 4743788354175 4975900322575 5006521247637 5178998294925 5258950890375 5376293468065 5567167792375 5630170953225 5741423449125 5960144342425 6203415540075 6380860413655 6506946575675 6546989323833 6641303695845 6877089625875 7250597612895 7362531246525 7508015279625 7526810855291 7794034909325 7906313923625 8344202079395 8631663824875 8684781756105 9297825174183 9383618255375 9627925476225 9766623082125 10150836658053 10339025900125 10662643548375 10911648873055 11068839493075 11640867727125 12084329354825 12158694458547 12270885410875 12771737876625 13673272314975 13943456947875 14474636260175 14927700967725 15496375290305 16046542460375 16128880404195 16701503377125 16918061096755 17880433027275 19142581240965 19520839727025 20264490764245 21694925406427 22580432565873 22788787191625 23382104727975 23718941770875 24879501612875 25032606238185 25894991474625 26881467340325 28150854766125 28370287069943 29800721712125 31017077700375 31904302068275 32534732878375 32734946619165 33206518479225 36252988064475 36812656232625 37634054276455 38970174546625 41721010396975 43423908780525 46489125870915 48139627381125 50754183290265 52687675987037 54558244365275 55344197465375 60421646774125 60793472292735 65084776219281 68366361574875 72373181300875 74638504838625 77481876451525 80644402020975 84590305483775 85110861209829 89402165136375 95712906204825 97604198635125 101322453821225 108474627032135 112902162829365 116910523639875 125163031190925 134407336701625 141851435349715 158063027961111 159521510341375 163674733095825 166032592396125 181264940322375 188170271382275 208605051984875 217119543902625 232445629354575 253770916451325 263438379935185 272791221826375 303967361463675 325423881096405 368813731909259 387409382257625 403222010104875 422951527418875 425554306049145 478564531024125 506612269106125 542373135160675 564510814146825 625815155954625 709257176748575 790315139805555 818373665479125 940851356911375 1106441195727777 1162228146772875 1268854582256625 1317191899675925 1519836807318375 1627119405482025 1844068659546295 2127771530245725 2711865675803375 2822554070734125 3546285883742875 3951575699027775 5532205978638885 6585959498379625 8135597027410125 9220343297731475 10638857651228625 19757878495138875 27661029893194425 46101716488657375 138305149465972125
- Sum of all divisors σ(n): 311636563729920000
- Sum of proper divisors (its aliquot sum) s(n): 173331414263947875
- 138305149465972125 is an abundant number, because the sum of its proper divisors (173331414263947875) is greater than itself. Its abundance is 35026264797975750
Bases of 138305149465972125
- Binary: 1111010110101101111001100111110001000011011001101100111012
- Hexadecimal: 0x1EB5BCCF886CD9D
- Base-36: 11TT30J6WGIL
Squares and roots of 138305149465972125
- 138305149465972125 squared (1383051494659721252) is 19128314368804889573073271277015625
- 138305149465972125 cubed (1383051494659721253) is 2645544377809662498432493276640361288605559439453125
-
The
square root of 138305149465972125 is 371894002.9981286549 -
The
cube root of 138305149465972125 is 517145.5398586539
Scales and comparisons
How big is 138305149465972125?- 138,305,149,465,972,125 seconds is equal to 4,397,675,947 years, 5 weeks, 2 days, 1 hour, 8 minutes, 45 seconds.
-
To count from 1 to 138,305,149,465,972,125 would take you about thirteen billion, one hundred ninety-three million, twenty-seven thousand, eight hundred forty-one 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 138305149465972125 cubic inches would be around 43095.5 feet tall.
Recreational maths with 138305149465972125
- 138305149465972125 backwards is 521279564941503831
- 138305149465972125 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138305149465972125's digits is 75
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138305149465972125 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138305149465972125 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138305149465972125/
Chicago style:
Numbermatics. 2024. "Number 138305149465972125 - Facts about the integer". https://numbermatics.com/n/138305149465972125/
The information we have on file for 138305149465972125 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 138305149465972125, math, Factors of 138305149465972125, curriculum, school, college, exams, university, Prime factorization of 138305149465972125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred five trillion, one hundred forty-nine billion, four hundred sixty-five million, nine hundred seventy-two thousand, one hundred twenty-five.