138189789915340625
138,189,789,915,340,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138189789915340625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138189789915340625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138189789915340625:
55 × 75 × 115 × 17 × 312
(5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 17 × 31 × 31)See below for interesting mathematical facts about the number 138189789915340625 from the Numbermatics database.
Names of 138189789915340625
- Cardinal: 138189789915340625 can be written as One hundred thirty-eight quadrillion, one hundred eighty-nine trillion, seven hundred eighty-nine billion, nine hundred fifteen million, three hundred forty thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38189789915340625 × 1017
Factors of 138189789915340625
Divisors of 138189789915340625
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 5 7 11 17 25 31 35 49 55 77 85 119 121 125 155 175 187 217 245 275 341 343 385 425 527 539 595 605 625 775 833 847 875 935 961 1085 1225 1309 1331 1375 1519 1705 1715 1925 2057 2125 2387 2401 2635 2695 2975 3025 3125 3689 3751 3773 3875 4165 4235 4375 4675 4805 5425 5797 5831 5929 6125 6545 6655 6727 6875 7595 8525 8575 9163 9317 9625 10285 10571 10625 10633 11935 12005 13175 13475 14399 14641 14875 15125 16337 16709 16807 18445 18755 18865 19375 20825 21175 21875 22627 23375 24025 25823 26257 26411 27125 28985 29155 29645 30625 32725 33275 33635 34375 37975 40579 40817 41261 41503 42625 42875 45815 46585 47089 48125 51425 52855 53125 53165 59675 60025 63767 64141 65219 65875 67375 71995 73205 73997 74375 74431 75625 81685 83545 84035 92225 93775 94325 96875 100793 102487 104125 105875 113135 114359 116281 116875 116963 120125 129115 131285 132055 135625 144925 145775 148225 153125 158389 161051 163625 166375 168175 179707 180761 183799 184877 189875 202895 204085 206305 207515 213125 214375 229075 232925 235445 240625 248897 257125 264275 265825 284053 285719 288827 290521 298375 300125 318835 320705 326095 329375 329623 336875 359975 366025 369985 371875 372155 378125 408425 417725 420175 446369 448987 453871 456533 461125 468875 471625 503965 512435 517979 520625 521017 529375 565675 571795 581405 584375 584815 600625 645575 656425 660275 678125 701437 705551 717409 724625 728875 741125 791945 800513 805255 813967 818125 818741 831875 840875 898535 903805 918995 924385 949375 1014475 1020425 1031525 1037575 1065625 1071875 1108723 1127357 1145375 1164625 1177225 1244485 1257949 1265327 1279091 1285625 1286593 1321375 1329125 1420265 1428595 1444135 1452605 1491875 1500625 1594175 1603525 1630475 1646875 1648115 1684375 1742279 1799875 1830125 1849925 1860775 1976777 1988371 2021789 2033647 2042125 2088625 2100875 2231845 2244935 2269355 2282665 2305625 2307361 2344375 2358125 2519825 2562175 2589895 2603125 2605085 2646875 2737867 2828375 2858975 2907025 2924075 3003125 3124583 3142909 3177097 3195731 3227875 3282125 3301375 3507185 3527755 3587045 3623125 3625853 3644375 3705625 3959725 4002565 4026275 4069835 4090625 4093705 4159375 4204375 4492675 4519025 4594975 4621925 4746875 4910059 4938857 4992581 5021863 5072375 5102125 5157625 5187875 5543615 5603591 5636785 5697769 5726875 5731187 5823125 5886125 6222425 6289745 6326635 6395455 6428125 6432965 6606875 6645625 7101325 7142975 7220675 7263025 7459375 7503125 7715807 7761061 7891499 7970875 8017625 8152375 8240575 8711395 8805643 8857289 8953637 8999375 9006151 9150625 9249625 9303875 9883885 9941855 10108945 10168235 10210625 10443125 10504375 11159225 11224675 11346775 11413325 11528125 11536805 11721875 11790625 12195953 12599125 12810875 12949475 13025425 13689335 13837439 13918597 14070001 14141875 14152523 14294875 14535125 14620375 15622915 15714545 15885485 15978655 16139375 16151527 16410625 16506875 17535925 17638775 17935225 18115625 18129265 18221875 18528125 19165069 19798625 20012825 20131375 20349175 20468525 21021875 21744547 21872081 22239679 22370117 22463375 22595125 22974875 23109625 24550295 24694285 24962905 25109315 25361875 25380971 25510625 25788125 25939375 27718075 28017955 28183925 28488845 28634375 28655935 29115625 29430625 31112125 31448725 31633175 31977275 32164825 33034375 33228125 34370413 34571999 34948067 35153041 35506625 35714875 36103375 36315125 38579035 38805305 39225137 39457495 39854375 39884383 40088125 40761875 41202875 43556975 44028215 44286445 44768185 44996875 45030755 45753125 46248125 46519375 49419425 49709275 50544725 50841175 51053125 52215625 52521875 54010649 54327427 55240493 55796125 56123375 56733875 57066625 57684025 60979765 61639501 62675459 62995625 63043057 64054375 64747375 65127125 68446675 69187195 69592985 70350005 70709375 70762615 71474375 72675625 73101875 78114575 78572725 79427425 79893275 80696875 80757635 82053125 82534375 84873877 85371671 87679625 88193875 89676125 90646325 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1381012325 1394903125 1395953405 1403084375 1418346875 1426665625 1442100625 1524494125 1540987525 1566886475 1576076425 1618684375 1628178125 1674330119 1684150237 1711166875 1712455283 1729679875 1739824625 1758750125 1769065375 1890372715 1901459945 1933417255 1952864375 1954334767 1964318125 1985685625 1997331875 2018940875 2121846925 2134291775 2157382535 2191990625 2193641065 2204846875 2241903125 2266158125 2395633625 2421551825 2435754475 2462250175 2476691525 2501603125 2543646875 2558565625 2631090187 2646521801 2706784157 2718068375 2734010125 2779959875 2796264625 2970585695 2988008485 3020335549 3068786875 3071097491 3086785625 3120363125 3138664375 3172621375 3353887075 3390172555 3447150245 3464759375 3467368135 3502244375 3522990625 3561105625 3581991875 3805295725 3827614175 3869250275 3891943825 3931090625 3954146875 3997159375 4020603125 4158819973 4183211879 4296301625 4321499875 4368508375 4394130125 4441669925 4695441905 4746241577 4822379375 4826010343 4850663125 4903142125 4932186875 4985547875 5327414015 5358659845 5416950385 5444621875 5448721355 5503526875 5535805625 5596023125 5628844375 5979750425 6014822275 6115911725 6151782175 6177428125 6213659375 6318090625 6355146875 6573618667 6751331125 6790928375 6864398975 6905061625 6979767025 7210503125 7458379621 7583730539 7622470625 7628209897 7704937625 7834432375 7880382125 8371650595 8420751185 8555834375 8562276415 8648399375 8699123125 8793750625 8845326875 9451863575 9507299725 9667086275 9764321875 9771673835 9821590625 9928428125 9986659375 10094704375 10609234625 10671458875 10786912675 10968205325 11330790625 11720310833 11789051659 11978168125 11987186981 12107759125 12178772375 12311250875 12383457625 13155450935 13232609005 13533920785 13590341875 13670050625 13899799375 13981323125 14852928475 14940042425 15101677745 15343934375 15355487455 15433928125 15601815625 15693321875 15863106875 16769435375 16950862775 17235751225 17336840675 17511221875 17805528125 17909959375 18417631309 18525652607 19026478625 19138070875 19346251375 19459719125 20794099865 20916059395 21481508125 21497682437 21607499375 21842541875 21970650625 22208349625 23477209525 23731207885 24111896875 24130051715 24253315625 24515710625 24660934375 24927739375 26637070075 26793299225 27084751925 27243606775 27517634375 27679028125 27980115625 28144221875 29111739811 29898752125 30074111375 30579558625 30758910875 32868093335 33223691039 33756655625 33782072401 33954641875 34321994875 34525308125 34898835125 37291898105 37918652695 38112353125 38141049485 38524688125 39172161875 39401910625 41858252975 42103755925 42811382075 43241996875 43495615625 43968753125 44226634375 46015330669 47259317875 47536498625 48335431375 48858369175 50473521875 52208657347 53046173125 53086113773 53357294375 53934563375 54841026625 58601554165 58945258295 59890840625 59935934905 60538795625 60893861875 61556254375 61917288125 65777254675 66163045025 67669603925 67951709375 68350253125 69498996875 69906615625 74264642375 74700212125 75508388725 76777437275 79315534375 82042175831 83847176875 83910308867 84754313875 86178756125 86684203375 92088156545 92628263035 95132393125 95690354375 96731256875 97298595625 103970499325 104580296975 107407540625 107488412185 108037496875 109212709375 109853253125 111041748125 117386047625 118656039425 120650258575 122578553125 124638696875 128923419163 129679568249 133185350375 133966496125 135423759625 136218033875 145558699055 149493760625 150370556875 152897793125 153794554375 164340466675 166118455195 168783278125 168910362005 169773209375 171609974375 172626540625 174494175625 186459490525 189593263475 190705247425 192623440625 195860809375 197009553125 203782178677 209291264875 210518779625 214056910375 230076653345 236296589375 236474506807 237682493125 241677156875 244291845875 261043286735 265230865625 265430568865 266786471875 269672816875 274205133125 293007770825 294726291475 299679674525 302693978125 304469309375 307781271875 309586440625 328886273375 330815225125 338348019625 365460601429 371323211875 371602796411 373501060625 377541943625 383887186375 410210879155 419235884375 419551544335 423771569375 430893780625 433421016875 460440782725 463141315175 475661965625 478451771875 483656284375 486492978125 519852496625 522901484875 537442060925 555208740625 574295230817 586930238125 593280197125 603251292875 644617095815 648397841245 665926751875 669832480625 677118798125 681090169375 727793495275 747468803125 751852784375 764488965625 768972771875 821702333375 830592275975 844551810025 858049871875 872470878125 902463934141 932297452625 947966317375 953526237125 1018910893385 1046456324375 1052593898125 1070284551875 1150383266725 1181482946875 1182372534035 1188412465625 1208385784375 1221459229375 1305216433675 1327152844325 1348364084375 1371025665625 1426475250739 1465038854125 1473631457375 1498398372625 1644431366875 1654076125625 1691740098125 1827303007145 1856616059375 1858013982055 1867505303125 1887709718125 1919435931875 2051054395775 2097757721675 2118857846875 2154468903125 2167105084375 2302203913625 2315706575875 2599262483125 2601219574877 2614507424375 2687210304625 2871476154085 2934651190625 2966400985625 3016256464375 3223085479075 3241989206225 3329633759375 3349162403125 3385593990625 3405450846875 3638967476375 4020066615719 4108511666875 4152961379875 4222759050125 4512319670705 4661487263125 4739831586875 4767631185625 5094554466925 5232281621875 5262969490625 5351422759375 5751916333625 5911862670175 6107296146875 6317247538987 6526082168375 6635764221625 7132376253695 7325194270625 7368157286875 7491991863125 8222156834375 8270380628125 8458700490625 9136515035725 9290069910275 9438548590625 9597179659375 10255271978875 10488788608375 11511019568125 11578532879375 12996312415625 13006097874385 13072537121875 13436051523125 14357380770425 14832004928125 15081282321875 16115427395375 16209946031125 18194837381875 20100333078595 20542558334375 20764806899375 21113795250625 22561598353525 23307436315625 23699157934375 23838155928125 25472772334625 28759581668125 29559313350875 31586237694935 32630410841875 33178821108125 35661881268475 36625971353125 36840786434375 37459959315625 44220732772909 45682575178625 46450349551375 51276359894375 52443943041875 57555097840625 57892664396875 65030489371925 67180257615625 71786903852125 80577136976875 81049730155625 90974186909375 100501665392975 103824034496875 105568976253125 112807991767625 127363861673125 143797908340625 147796566754375 157931188474675 163152054209375 165894105540625 178309406342375 221103663864545 228412875893125 232251747756875 256381799471875 262219715209375 325152446859625 358934519260625 402885684884375 405248650778125 502508326964875 564039958838125 636819308365625 738982833771875 789655942373375 891547031711875 1105518319322725 1142064379465625 1161258738784375 1625762234298125 1794672596303125 2512541634824375 2820199794190625 3948279711866875 4457735158559375 5527591596613625 8128811171490625 12562708174121875 19741398559334375 27637957983068125 138189789915340625
- Sum of all divisors σ(n): 242517541294691712
- Sum of proper divisors (its aliquot sum) s(n): 104327751379351087
- 138189789915340625 is a deficient number, because the sum of its proper divisors (104327751379351087) is less than itself. Its deficiency is 33862038535989538
Bases of 138189789915340625
- Binary: 1111010101111001011100001101110110111110101011111010100012
- Hexadecimal: 0x1EAF2E1BB7D5F51
- Base-36: 11SO6X34Y8GH
Squares and roots of 138189789915340625
- 138189789915340625 squared (1381897899153406252) is 19096418036845977501604709775390625
- 138189789915340625 cubed (1381897899153406253) is 2638929996647267077553372080322261410077789306640625
-
The
square root of 138189789915340625 is 371738873.2905675349 -
The
cube root of 138189789915340625 is 517001.7171311045
Scales and comparisons
How big is 138189789915340625?- 138,189,789,915,340,625 seconds is equal to 4,394,007,870 years, 11 weeks, 3 days, 21 hours, 17 minutes, 5 seconds.
-
To count from 1 to 138,189,789,915,340,625 would take you about thirteen billion, one hundred eighty-two million, twenty-three thousand, six hundred ten 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 138189789915340625 cubic inches would be around 43083.5 feet tall.
Recreational maths with 138189789915340625
- 138189789915340625 backwards is 526043519987981831
- The number of decimal digits it has is: 18
- The sum of 138189789915340625's digits is 89
- More coming soon!
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"Number 138189789915340625 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 138189789915340625 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138189789915340625/
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The information we have on file for 138189789915340625 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 138189789915340625, math, Factors of 138189789915340625, curriculum, school, college, exams, university, Prime factorization of 138189789915340625, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred eighty-nine trillion, seven hundred eighty-nine billion, nine hundred fifteen million, three hundred forty thousand, six hundred twenty-five.