138305905673203125
138,305,905,673,203,125 is an odd composite number composed of five prime numbers multiplied together.
138305905673203125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138305905673203125:
34 × 57 × 116 × 132 × 73
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 73)See below for interesting mathematical facts about the number 138305905673203125 from the Numbermatics database.
Names of 138305905673203125
- Cardinal: 138305905673203125 can be written as One hundred thirty-eight quadrillion, three hundred five trillion, nine hundred five billion, six hundred seventy-three million, two hundred three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38305905673203125 × 1017
Factors of 138305905673203125
Divisors of 138305905673203125
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 3 5 9 11 13 15 25 27 33 39 45 55 65 73 75 81 99 117 121 125 135 143 165 169 195 219 225 275 297 325 351 363 365 375 405 429 495 507 585 605 625 657 675 715 803 825 845 891 949 975 1053 1089 1095 1125 1287 1331 1375 1485 1521 1573 1625 1755 1815 1825 1859 1875 1971 2025 2145 2409 2475 2535 2847 2925 3025 3125 3267 3285 3375 3575 3861 3993 4015 4125 4225 4455 4563 4719 4745 4875 5265 5445 5475 5577 5625 5913 6435 6655 6875 7227 7425 7605 7865 8125 8541 8775 8833 9075 9125 9295 9375 9801 9855 10125 10439 10725 11583 11979 12045 12337 12375 12675 13689 14157 14235 14625 14641 15125 15625 16335 16425 16731 16875 17303 17875 19305 19965 20075 20449 20625 21125 21681 22275 22815 23595 23725 24375 25623 26325 26499 27225 27375 27885 28125 29565 31317 32175 33275 34375 35937 36135 37011 37125 38025 39325 40625 42471 42705 43875 43923 44165 45375 45625 46475 46875 49005 49275 50193 50625 51909 52195 53625 57915 59895 60225 61347 61685 61875 63375 65043 68445 70785 71175 73125 73205 75625 76869 78125 79497 81675 82125 83655 84375 86515 89375 93951 96525 97163 99825 100375 102245 103125 105625 107811 108405 111033 111375 114075 114829 117975 118625 121875 127413 128115 131625 131769 132495 135707 136125 136875 139425 140625 147825 150579 155727 156585 160875 161051 166375 171875 179685 180675 184041 185055 185625 190125 190333 196625 203125 212355 213525 219375 219615 220825 224939 226875 228125 232375 234375 238491 245025 246375 250965 253125 259545 260975 268125 281853 289575 291489 299475 301125 306735 308425 309375 316875 325215 333099 342225 344487 353925 355875 365625 366025 378125 384345 395307 397485 407121 408375 410625 418275 421875 432575 446875 467181 469755 482625 483153 485815 499125 501875 511225 515625 528125 539055 542025 552123 555165 556875 570375 570999 574145 589875 593125 609375 637065 640575 658125 658845 662475 674817 678535 680625 684375 697125 703125 715473 739125 752895 778635 782925 804375 805255 831875 845559 859375 874467 898425 903375 920205 925275 928125 950625 951665 983125 999297 1015625 1033461 1061775 1067625 1068793 1096875 1098075 1104125 1124695 1134375 1140625 1161875 1185921 1192455 1221363 1225125 1231875 1254825 1263119 1265625 1297725 1304875 1340625 1401543 1409265 1447875 1449459 1457445 1492777 1497375 1505625 1533675 1542125 1546875 1584375 1626075 1656369 1665495 1711125 1712997 1722435 1769625 1771561 1779375 1828125 1830125 1890625 1921725 1976535 1987425 2024451 2035605 2041875 2053125 2091375 2093663 2109375 2162875 2234375 2335905 2348775 2413125 2415765 2429075 2474329 2495625 2509375 2556125 2578125 2623401 2640625 2695275 2710125 2760615 2775825 2784375 2851875 2854995 2870725 2949375 2965625 3046875 3100383 3185325 3202875 3206379 3290625 3294225 3312375 3374085 3392675 3403125 3421875 3485625 3577365 3664089 3695625 3764475 3789357 3893175 3914625 4021875 4026275 4159375 4227795 4348377 4372335 4478331 4492125 4516875 4601025 4626375 4640625 4753125 4758325 4915625 4996485 5138991 5167305 5308875 5314683 5338125 5343965 5484375 5490375 5520625 5623475 5671875 5703125 5809375 5929605 5962275 6073353 6106815 6125625 6159375 6274125 6280989 6315595 6328125 6488625 6524375 6703125 7007715 7046325 7239375 7247295 7287225 7422987 7463885 7486875 7528125 7668375 7710625 7734375 7870203 7921875 8130375 8281845 8327475 8555625 8564985 8612175 8848125 8857805 8896875 9140625 9150625 9301149 9453125 9608625 9619137 9882675 9937125 10122255 10178025 10209375 10265625 10456875 10468315 10814375 10992267 11171875 11368071 11679525 11743875 11756723 12065625 12078825 12145375 12371645 12478125 12546875 12780625 13045131 13117005 13203125 13434993 13476375 13550625 13803075 13879125 13894309 13921875 14259375 14274975 14353625 14746875 14828125 15416973 15501915 15926625 15944049 16014375 16031895 16420547 16453125 16471125 16561875 16870425 16963375 17015625 17109375 17428125 17886825 18220059 18320445 18478125 18822375 18842967 18946785 19465875 19573125 20109375 20131375 20796875 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46636343325 46893292875 48178040625 48443484375 48496482375 49672154675 49825153125 50099671875 51033035625 51314209375 52376200965 52720078125 53645927049 54107645625 55115678475 55419346125 55896328125 56937684375 57251390625 57314024625 58884271875 59208703125 61899146595 63945399375 65567244171 66059296875 66131566875 67363607025 67734756375 67943390625 68317734375 69590503125 69973921875 71969665625 73153536885 75571835625 75654512505 77727238875 78070078125 78155488125 80296734375 80739140625 80827470625 83041921875 83499453125 85055059375 87293668275 89409878415 89685275625 90179409375 91859464125 92365576875 92650078125 94896140625 95418984375 95523374375 98140453125 98681171875 103165244325 105991689375 106575665625 109278740285 109495546875 110219278125 112272678375 112891260625 113238984375 115984171875 116623203125 119036820375 121254492645 121922561475 122971921875 125262905625 125953059375 126090854175 129403828125 129545398125 130259146875 133827890625 136178122509 138403203125 140679878625 145330453125 145489447125 149016464025 149475459375 150299015625 153099106875 153942628125 158160234375 160937781147 163567421875 166258038375 171754171875 171942073875 176652815625 177626109375 183698796875 187121130625 193306953125 196701732513 198394700625 202090821075 203204269125 203830171875 204953203125 208771509375 209921765625 210151423625 215908996875 217098578125 226963537515 233181716625 234466464375 240890203125 242217421875 242482411875 248360773375 249125765625 250498359375 255165178125 256571046875 261881004825 268229635245 270538228125 275578392375 277096730625 284688421875 286256953125 286570123125 294421359375 296043515625 309495732975 319726996875 327836220855 330657834375 336818035125 338673781875 339716953125 347952515625 349869609375 359848328125 365767684425 377859178125 378272562525 388636194375 390777440625 401483671875 404137353125 415209609375 425275296875 436468341375 447049392075 448426378125 450897046875 459297320625 461827884375 474480703125 477616871875 490702265625 515826221625 529958446875 532878328125 546393701425 551096390625 561363391875 564456303125 579920859375 590105197539 595184101875 606272463225 609612807375 614859609375 626314528125 629765296875 630454270875 647726990625 651295734375 680890612545 703399393125 726652265625 727447235625 745082320125 747377296875 751495078125 765495534375 769713140625 804688905735 831290191875 858770859375 859710369375 883264078125 888130546875 918493984375 935605653125 983508662565 991973503125 1010454105375 1016021345625 1019150859375 1043857546875 1049608828125 1050757118125 1079544984375 1085492890625 1134817687575 1165908583125 1172332321875 1204451015625 1212412059375 1241803866875 1245628828125 1275825890625 1282855234375 1309405024125 1341148176225 1352691140625 1377891961875 1385483653125 1423442109375 1432850615625 1472106796875 1547478664875 1598634984375 1639181104275 1653289171875 1684090175625 1693368909375 1739762578125 1770315592617 1799241640625 1828838422125 1889295890625 1891362812625 1943180971875 1953887203125 2020686765625 2126376484375 2182341706875 2235246960375 2242131890625 2254485234375 2296486603125 2309139421875 2388084359375 2579131108125 2649792234375 2664391640625 2731968507125 2755481953125 2806816959375 2822281515625 2950525987695 2975920509375 3031362316125 3048064036875 3131572640625 3148826484375 3152271354375 3238634953125 3256478671875 3404453062725 3516996965625 3637236178125 3725411600625 3736886484375 3827477671875 3848565703125 4023444528675 4156450959375 4298551846875 4416320390625 4678028265625 4917543312825 4959867515625 5052270526875 5080106728125 5219287734375 5253785590625 5397724921875 5674088437875 5829542915625 5861661609375 6062060296875 6209019334375 6379129453125 6547025120625 6705740881125 6763455703125 6889459809375 6927418265625 7164253078125 7737393324375 7993174921875 8195905521375 8266445859375 8420450878125 8466844546875 8851577963085 9144192110625 9446479453125 9456814063125 9715904859375 9769436015625 10103433828125 10911708534375 11176234801875 11210659453125 11482433015625 11545697109375 11940421796875 12895655540625 13248961171875 13659842535625 14034084796875 14111407578125 14752629938475 14879602546875 15156811580625 15240320184375 15657863203125 15761356771875 16193174765625 17022265313625 17584984828125 18186180890625 18627058003125 19137388359375 20117222643375 20782254796875 21492759234375 23390141328125 24587716564125 24799337578125 25261352634375 25400533640625 26268927953125 28370442189375 29147714578125 29308308046875 30310301484375 31045096671875 32735125603125 33528704405625 34447299046875 34637091328125 35821265390625 38686966621875 40979527606875 42102254390625 42334222734375 44257889815425 45720960553125 47284070315625 48579524296875 54558542671875 55881174009375 57412165078125 64478277703125 68299212678125 70170423984375 73763149692375 74398012734375 75784057903125 76201600921875 78806783859375 85111326568125 87924924140625 90930904453125 93135290015625 100586113216875 103911273984375 107463796171875 122938582820625 126306763171875 127002668203125 131344639765625 141852210946875 145738572890625 155225483359375 163675628015625 167643522028125 172236495234375 193434833109375 204897638034375 210511271953125 221289449077125 228604802765625 236420351578125 272792713359375 279405870046875 322391388515625 341496063390625 368815748461875 378920289515625 381008004609375 394033919296875 425556632840625 465676450078125 502930566084375 614692914103125 631533815859375 709261054734375 818378140078125 838217610140625 967174165546875 1024488190171875 1106447245385625 1143024013828125 1182101757890625 1397029350234375 1707480316953125 1844078742309375 1894601447578125 2127783164203125 2514652830421875 3073464570515625 3546305273671875 4191088050703125 5122440950859375 5532236226928125 9220393711546875 10638915821015625 12573264152109375 15367322852578125 27661181134640625 46101968557734375 138305905673203125
- Sum of all divisors σ(n): 311828557116654864
- Sum of proper divisors (its aliquot sum) s(n): 173522651443451739
- 138305905673203125 is an abundant number, because the sum of its proper divisors (173522651443451739) is greater than itself. Its abundance is 35216745770248614
Bases of 138305905673203125
- Binary: 1111010110101110001111101000010011111110101101101101101012
- Hexadecimal: 0x1EB5C7D09FD6DB5
- Base-36: 11TTCNXH5UB9
Squares and roots of 138305905673203125
- 138305905673203125 squared (1383059056732031252) is 19128523544084960357108697509765625
- 138305905673203125 cubed (1383059056732031253) is 2645587772955859665593112170366072231769561767578125
-
The
square root of 138305905673203125 is 371895019.6940033305 -
The
cube root of 138305905673203125 is 517146.4823843793
Scales and comparisons
How big is 138305905673203125?- 138,305,905,673,203,125 seconds is equal to 4,397,699,992 years, 7 weeks, 6 days, 13 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,305,905,673,203,125 would take you about thirteen billion, one hundred ninety-three million, ninety-nine thousand, nine hundred seventy-six 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 138305905673203125 cubic inches would be around 43095.5 feet tall.
Recreational maths with 138305905673203125
- 138305905673203125 backwards is 521302376509503831
- The number of decimal digits it has is: 18
- The sum of 138305905673203125's digits is 63
- More coming soon!
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"Number 138305905673203125 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138305905673203125 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138305905673203125/
Chicago style:
Numbermatics. 2024. "Number 138305905673203125 - Facts about the integer". https://numbermatics.com/n/138305905673203125/
The information we have on file for 138305905673203125 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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