48938126061825
48,938,126,061,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 48938126061825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
48938126061825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 48938126061825:
37 × 52 × 7 × 112 × 134 × 37
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 13 × 13 × 37)See below for interesting mathematical facts about the number 48938126061825 from the Numbermatics database.
Names of 48938126061825
- Cardinal: 48938126061825 can be written as Forty-eight trillion, nine hundred thirty-eight billion, one hundred twenty-six million, sixty-one thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 4.8938126061825 × 1013
Factors of 48938126061825
Divisors of 48938126061825
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 25 27 33 35 37 39 45 55 63 65 75 77 81 91 99 105 111 117 121 135 143 165 169 175 185 189 195 225 231 243 259 273 275 297 315 325 333 351 363 385 405 407 429 455 481 495 507 525 555 567 585 605 675 693 715 729 777 819 825 845 847 891 925 945 975 999 1001 1053 1089 1155 1183 1215 1221 1287 1295 1365 1443 1485 1521 1573 1575 1665 1701 1755 1815 1859 1925 2025 2035 2079 2145 2187 2197 2275 2331 2405 2457 2475 2535 2541 2673 2775 2835 2849 2925 2997 3003 3025 3159 3267 3367 3465 3549 3575 3645 3663 3861 3885 4095 4225 4235 4329 4455 4477 4563 4719 4725 4995 5005 5103 5265 5291 5445 5577 5775 5915 6075 6105 6237 6253 6435 6475 6591 6825 6993 7215 7371 7425 7605 7623 7865 8019 8325 8505 8547 8775 8991 9009 9075 9295 9477 9801 10101 10175 10395 10647 10725 10935 10985 10989 11011 11583 11655 12025 12285 12675 12705 12987 13013 13365 13431 13689 14157 14175 14245 14985 15015 15309 15379 15795 15873 16335 16731 16835 17325 17745 18225 18315 18711 18759 19305 19425 19773 20449 20475 20979 21175 21645 22113 22275 22385 22815 22869 23595 24057 24167 24975 25025 25515 25641 26325 26455 26973 27027 27225 27885 28431 28561 29403 29575 30303 30525 31185 31265 31339 31941 32175 32955 32967 33033 34749 34965 36075 36855 37037 38025 38115 38961 39039 39325 40095 40293 41067 42471 42525 42735 43771 44955 45045 46137 46475 47385 47619 49005 50193 50505 51975 53235 54675 54925 54945 55055 56133 56277 57915 58201 58275 59319 61347 61425 62937 63525 64935 65065 66339 66825 67155 68445 68607 68783 70785 71225 72501 74925 75075 76545 76895 76923 78975 79365 80919 81081 81289 81675 83655 84175 85683 88209 88725 90909 91575 93555 93795 94017 95823 96525 98865 98901 99099 102245 104247 104895 108225 110565 111111 111925 114075 114345 116883 117117 117975 120285 120835 120879 123201 127413 127575 128205 131313 132275 134865 135135 138411 139425 142155 142805 142857 143143 147015 150579 151515 155925 156325 156695 159705 164775 164835 165165 168399 168831 169169 173745 174603 174825 177957 184041 184275 185185 188811 190575 194805 195195 199017 199927 200475 201465 205335 205821 206349 212355 213675 217503 218855 224775 225225 230685 230769 236925 238095 243243 243867 245025 250965 252525 257049 264627 265837 266175 272727 274725 275275 280665 281385 282051 287469 289575 291005 296595 296703 297297 306735 312741 314171 314685 324675 325325 331695 333333 335775 342225 343035 343915 350649 351351 353925 362505 362637 369603 382239 382725 384475 384615 393939 396825 404595 405405 406445 407407 415233 418275 428415 428571 429429 441045 451737 454545 467775 468975 470085 479115 481481 494325 494505 495495 506493 507507 511225 521235 523809 524475 533871 552123 552825 555555 566433 569023 571725 584415 585585 599781 601425 604175 604395 616005 617463 619047 637065 641025 652509 656565 674325 675675 692055 692307 710775 714025 714285 715715 729729 731601 735075 752895 756613 757575 771147 783475 797511 798525 818181 824175 825825 841995 844155 845845 846153 862407 868725 873015 889785 890109 891891 894179 920205 925925 942513 944055 974025 975975 995085 999635 999999 1007325 1026675 1029105 1031745 1051947 1054053 1056757 1061775 1087515 1087911 1094275 1146717 1153425 1153845 1181817 1190475 1216215 1219335 1222221 1245699 1254825 1285245 1285713 1288287 1323135 1329185 1355211 1363635 1403325 1406925 1410255 1437345 1444443 1455025 1482975 1483515 1486485 1519479 1522521 1533675 1563705 1570855 1571427 1573425 1601613 1656369 1658475 1666665 1707069 1715175 1719575 1753245 1756755 1799343 1812525 1813185 1848015 1852389 1857141 1860859 1911195 1923075 1957527 1969695 2022975 2027025 2032225 2037035 2076165 2076921 2142075 2142855 2147145 2189187 2194803 2199197 2205225 2258685 2269839 2272725 2313441 2350425 2392533 2395575 2407405 2454543 2472525 2477475 2532465 2537535 2538459 2587221 2606175 2619045 2669355 2675673 2682537 2760615 2777775 2827539 2832165 2845115 2922075 2927925 2998905 2999997 3021975 3080025 3087315 3095235 3162159 3170271 3185325 3262545 3263733 3282825 3440151 3455881 3460275 3461535 3545451 3571425 3578575 3648645 3658005 3666663 3737097 3764475 3783065 3855735 3857139 3864861 3987555 4065633 4090905 4209975 4220775 4229225 4230765 4312035 4333329 4365075 4448925 4450545 4459455 4470895 4558437 4567563 4601025 4712565 4714281 4720275 4804839 4969107 4975425 4998175 4999995 5121207 5145525 5158725 5259735 5270265 5283785 5296291 5398029 5437575 5439555 5571423 5582577 5733585 5769225 5872581 5909085 6081075 6096675 6111105 6228495 6230763 6259253 6426225 6428565 6441435 6584409 6597591 6615675 6645925 6776055 6809517 6818175 6940323 7051275 7177599 7186725 7222215 7363629 7397299 7417575 7432425 7597395 7612605 7615377 7818525 7854275 7857135 8008065 8027019 8047611 8281845 8333325 8482617 8535345 8766225 8783775 8996715 8999991 9065925 9240075 9261945 9285705 9304295 9486477 9510813 9555975 9787635 9791199 9835969 9848475 10185175 10367643 10380825 10384605 10636353 10714275 10735725 10945935 10974015 10995985 10999989 11211291 11293425 11349195 11567205 11571417 11594583 11624327 11962665 12037025 12272715 12662325 12687675 12692295 12936105 12999987 13095225 13346775 13378365 13412685 13675311 13702689 13803075 14137695 14142843 14160825 14225575 14907321 14994525 14999985 15363621 15436575 15476175 15810795 15851355 15888873 16194087 16312725 16318665 16714269 16747731 17200755 17279405 17307675 17617743 17727255 18243225 18290025 18333315 18685485 18777759 18915325 19278675 19285695 19324305 19753227 19792773 19937775 20328165 20428551 20454525 20820969 21153825 21532797 21560175 21666645 22191897 22252725 22297275 22354475 22792185 22837815 22846131 23562825 23571405 24024195 24081057 24142833 24191167 24845535 24999975 25447851 25606035 26298675 26351325 26418925 26481455 26990145 26999973 27197775 27857115 27912885 28459431 28532439 28667925 29362905 29507907 29545425 30555525 31102929 31142475 31153815 31296265 31909059 32142825 32207175 32922045 32987955 32999967 33633873 33880275 34047585 34701615 34783749 34872981 35887995 36111075 36818145 36986495 37986975 38063025 38076885 38999961 39285675 40040325 40135095 40238055 41108067 41409225 42413085 42428529 42676725 44721963 44983575 44999955 46090863 46309725 46428525 46521475 47432385 47554065 47666619 48582261 48938175 48955995 49179845 50142807 50243193 51838215 51923025 52853229 53181765 54729675 54870075 54979925 54999945 56056455 56333277 56745975 57836025 57857085 57972915 58121635 59259681 59378319 59813325 61285653 61363575 62462907 63461475 64598391 64680525 64999935 66575691 66891825 67063425 68376555 68513445 68538393 68851783 70688475 70714215 72428499 72573501 74536605 74999925 76343553 76818105 79053975 79256775 79444365 80970435 80999919 81370289 81593325 83571345 83738655 85597317 86003775 86397025 88088715 88523721 88636275 91666575 93308787 93427425 93888795 95727177 96428475 96621525 98766135 98963865 98999901 101640825 102142755 104104845 104351247 104618943 107663985 108333225 110959485 113960925 114189075 114230655 116999883 117857025 120120975 120405285 120714165 120955835 123324201 124227675 127239255 127285587 127867597 128030175 132407275 134950725 134999865 138272589 139285575 139564425 142297155 142662195 142999857 145746783 146814525 147539535 150428421 150729579 155514645 155769075 156481325 159545295 164610225 164939775 164999835 168169365 168999831 170237925 173508075 173918745 174364905 177779043 178134957 179439975 183856959 184090725 184932475 190384425 193795173 194999805 199727073 200675475 201190275 205540335 206555349 212065425 212142645 217285497 217720503 223609815 224999775 229030659 230454315 237161925 237770325 238333095 242911305 244110867 244779975 245899225 250714035 251215965 256791951 259191075 264266145 265571163 265908825 274999725 279926361 280282275 281666385 289285425 289864575 290608175 296298405 296891595 296999703 306428265 312314535 313053741 313856829 322991955 324999675 332878455 341882775 342567225 342691965 344258915 350999649 353571075 362142495 362867505 369972603 372683025 381717765 383602791 384090525 397221825 404852175 404999595 406851445 414817767 417856725 418693275 427986585 428999571 437240349 440443575 442618605 452188737 466543935 469443975 478635885 493830675 494819325 494999505 506999493 510713775 520524225 521756235 523094715 534404871 538319925 551570877 554797425 571153275 581385519 584999415 599181219 602026425 603570825 604779175 616621005 619666047 636196275 636427935 639337985 651856491 653161509 674999325 687091977 691362945 711485775 713310975 714999285 728733915 732332601 737697675 752142105 753647895 770375853 777573225 796713489 797726475 824999175 839779083 840846825 844999155 869593725 871824525 888895215 890674785 890999109 895073179 919284795 941570487 968975865 974999025 998635365 1027701675 1032776745 1052998947 1060713225 1086427485 1088602515 1118049075 1145153295 1150808373 1152271575 1191665475 1214556525 1220554335 1244453301 1253570175 1256079825 1283959755 1286998713 1321330725 1327855815 1356566211 1399631805 1408331925 1481492025 1484457975 1484998515 1520998479 1532141325 1561572675 1565268705 1569284145 1603214613 1614959775 1654712631 1664392275 1713459825 1721294575 1754998245 1797543657 1810712475 1814337525 1849863015 1858998141 1908588825 1918013955 1955569473 1959484527 2024997975 2034257225 2074088835 2139932925 2144997855 2186201745 2196997803 2213093025 2260943685 2311127559 2332719675 2390140467 2393179425 2474997525 2519337249 2534997465 2608781175 2615473575 2672024355 2685219537 2757854385 2824711461 2906927595 2924997075 2995906095 3083105025 3098330235 3182139675 3196689925 3259282455 3265807545 3435459885 3452425119 3456814725 3574996425 3643669575 3661663005 3760710525 3768239475 3851879265 3860996139 3983567445 4069698633 4198895415 4224995775 4444476075 4453373925 4454995545 4475365895 4562995437 4596423975 4707852435 4809643839 4844879325 4993176825 5163883725 5264994735 5392630971 5432137425 5443012575 5576994423 5725766475 5754041865 5878453581 6102771675 6222266505 6419798775 6434993565 6590993409 6639279075 6782831055 6998159025 7170421401 7424992575 7558011747 7604992395 7826343525 7846420725 8016073065 8055658611 8273563155 8474134383 8774991225 8987718285 9249315075 9294990705 9590069775 9777847365 9797422635 10357275357 10370444175 10724989275 10931008725 10984989015 11304718425 11555637795 11582988417 11950702335 12596686245 12674987325 13360121775 13426097685 13688986311 13789271925 14123557305 14534637975 14979530475 15491651175 16177892913 16296412275 16329037725 16730983269 17177299425 17262125595 17635360743 18308315025 19259396325 19304980695 19772980227 19917837225 20348493165 20994477075 21511264203 22274977725 22376829475 22814977185 23539262175 24048219195 24166975833 25422403149 26324973675 26963154855 27884972115 28770209325 29392267905 31071826071 31111332525 32174967825 32954967045 33914155275 35852107005 37790058735 38024961975 40080365325 40278293055 41367815775 42370671915 44938591425 46474953525 48889236825 48987113175 50192949807 51786376785 52906082229 54924945075 57778188975 57914942085 59318940681 59753511675 62983431225 67130488425 68444931555 70617786525 72500927499 80889464565 83654916345 86310627975 88176803715 93215478213 96524903475 98864901135 101742465825 107556321015 114074885925 120241095975 120834879165 127112015745 134815774275 139424860575 146961339525 150578849421 155359130355 164774835225 177956822043 179260535025 188950293675 201391465275 211853359575 217502782497 250964749035 258931883925 264530411145 279646434639 289574710425 296594703405 342224657775 362504637495 404447322825 418274581725 440884018575 466077391065 494324505675 537781605075 604174395825 635560078725 652508347491 752894247105 776795651775 889784110215 1087513912485 1254823745175 1322652055725 1398232173195 1482973517025 1812523187475 1957525042473 2330386955325 3262541737455 3764471235525 4448920551075 5437569562425 6991160865975 9787625212365 16312708687275 48938126061825
- Sum of all divisors σ(n): 127202342140160
- Sum of proper divisors (its aliquot sum) s(n): 78264216078335
- 48938126061825 is an abundant number, because the sum of its proper divisors (78264216078335) is greater than itself. Its abundance is 29326090016510
Bases of 48938126061825
- Binary: 10110010000010010010111001111010110001000000012
- Hexadecimal: 0x2C824B9EB101
- Base-36: HCHV4PN29
Squares and roots of 48938126061825
- 48938126061825 squared (489381260618252) is 2394940182443075283722330625
- 48938126061825 cubed (489381260618253) is 117203884558929382841832294556041840890625
-
The
square root of 48938126061825 is 6995579.0369221761 -
The
cube root of 48938126061825 is 36577.6481870971
Scales and comparisons
How big is 48938126061825?- 48,938,126,061,825 seconds is equal to 1,556,081 years, 1 week, 5 days, 2 hours, 3 minutes, 45 seconds.
-
To count from 1 to 48,938,126,061,825 would take you about three million, eight hundred ninety thousand, two hundred two 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 48938126061825 cubic inches would be around 3048.1 feet tall.
Recreational maths with 48938126061825
- 48938126061825 backwards is 52816062183984
- 48938126061825 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48938126061825's digits is 63
- More coming soon!
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"Number 48938126061825 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 48938126061825 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/48938126061825/
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The information we have on file for 48938126061825 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 48938126061825, math, Factors of 48938126061825, curriculum, school, college, exams, university, Prime factorization of 48938126061825, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, nine hundred thirty-eight billion, one hundred twenty-six million, sixty-one thousand, eight hundred twenty-five.