12828768690375
12,828,768,690,375 is an odd composite number composed of six prime numbers multiplied together.
12828768690375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 12828768690375:
34 × 53 × 11 × 17 × 192 × 1372
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 19 × 19 × 137 × 137)See below for interesting mathematical facts about the number 12828768690375 from the Numbermatics database.
Names of 12828768690375
- Cardinal: 12828768690375 can be written as Twelve trillion, eight hundred twenty-eight billion, seven hundred sixty-eight million, six hundred ninety thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.2828768690375 × 1013
Factors of 12828768690375
Divisors of 12828768690375
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 9 11 15 17 19 25 27 33 45 51 55 57 75 81 85 95 99 125 135 137 153 165 171 187 209 225 255 275 285 297 323 361 375 405 411 425 459 475 495 513 561 627 675 685 765 825 855 891 935 969 1045 1083 1125 1233 1275 1375 1377 1425 1485 1507 1539 1615 1683 1805 1881 2025 2055 2125 2295 2329 2375 2475 2565 2603 2805 2907 3135 3249 3375 3425 3553 3699 3825 3971 4125 4275 4455 4521 4675 4845 5049 5225 5415 5643 6137 6165 6375 6885 6987 7125 7425 7535 7695 7809 8075 8415 8721 9025 9405 9747 10125 10275 10659 11097 11475 11645 11913 12375 12825 13015 13563 14025 14535 15147 15675 16245 16929 17125 17765 18411 18495 18769 19125 19855 20961 21375 22275 22605 23375 23427 24225 25245 25619 26125 26163 27075 28215 28633 29241 30685 30825 31977 34425 34935 35739 37125 37675 38475 39045 40375 40689 42075 43605 44251 45125 47025 48735 49457 51375 53295 55233 55485 56307 57375 58225 59565 62883 64125 65075 67507 67815 70125 70281 72675 75735 76857 78375 81225 84645 85899 88825 92055 92475 93845 95931 99275 104805 107217 111375 113025 117135 121125 122067 126225 128095 130815 132753 135375 141075 143165 146205 148371 153425 154125 159885 165699 168921 172125 174675 178695 188375 188649 192375 195225 202521 203445 206459 210375 210843 218025 221255 230571 235125 243675 247285 257697 266475 276165 277425 281535 287793 291125 297825 314415 319073 321651 325375 337535 339075 351405 356611 363375 378675 384285 398259 406125 423225 429495 444125 445113 460275 462375 469225 479655 486761 496375 497097 506763 524025 536085 544027 565125 585675 607563 610335 619377 631125 640475 654075 663765 691713 705375 715825 731025 741855 767125 773091 799425 828495 840769 844605 873375 893475 943245 957219 976125 1012605 1017225 1032295 1054215 1069833 1090125 1106275 1152855 1194777 1218375 1236425 1288485 1332375 1335339 1380825 1387125 1407675 1438965 1460283 1489125 1520289 1572075 1595365 1608255 1632081 1687675 1695375 1757025 1783055 1822689 1858131 1893375 1921425 1991295 2075139 2116125 2147475 2225565 2301375 2319273 2346125 2398275 2433805 2485485 2522307 2533815 2620125 2680425 2720135 2871657 2928375 3037815 3051675 3096885 3202375 3209499 3270375 3318825 3458565 3509803 3579125 3584331 3655125 3709275 3865455 3922721 3997125 4006017 4142475 4203845 4223025 4380849 4467375 4716225 4786095 4896243 5063025 5086125 5161475 5271075 5349165 5468067 5531375 5574393 5764275 5973885 6062387 6182125 6442425 6676695 6775609 6904125 7038375 7194825 7301415 7566921 7601445 7860375 7976825 8041275 8160405 8438375 8614971 8785125 8915275 9113445 9248459 9290655 9607125 9628497 9956475 10375695 10529409 10737375 11127825 11596365 11768163 11991375 12169025 12427425 12611535 12669075 13142547 13402125 13600675 14358285 14688729 15189075 15258375 15484425 16047495 16594125 16723179 17292825 17549015 17921655 18187161 18546375 19327275 19613605 20030085 20326827 20712375 21019225 21115125 21904245 22700763 23581125 23930475 24481215 25315125 25807375 25844913 26355375 26745825 27340335 27745377 27871965 28821375 28885491 29869425 30311935 31588227 32212125 33383475 33878045 35304489 35974125 36507075 37834605 38007225 39427641 39884125 40206375 40802025 43074855 44066187 44576375 45567225 46242295 46453275 48142485 49782375 51878475 52647045 54561483 55639125 57981825 58840815 60845125 60980481 62137125 63057675 63345375 65712735 66686257 68003375 68102289 71791425 73443645 74531699 75945375 77422125 80237475 83236131 83615895 86464125 87745075 89608275 90935805 94764681 96636375 98068025 100150425 101634135 105096125 105913467 109521225 113503815 115185353 119652375 122406075 129224565 133729125 136701675 138726885 139359825 144427455 149347125 151559675 157941135 163684449 166917375 169390225 176522445 182535375 182941443 189173025 190036125 197138205 200058771 204010125 215374275 220330935 223595097 227836125 231211475 232266375 240712425 249708393 259392375 263235225 272807415 284294043 289909125 294204075 304902405 315288375 317740401 328563675 333431285 340511445 345556059 358957125 367218225 372658495 401187375 416180655 418079475 438725375 448041375 454679025 473823405 490340125 491053347 500752125 508170675 529567335 547606125 548824329 567519075 575926765 600176313 612030375 646122825 670785291 683508375 693634425 696799125 722137275 749125179 757798375 789705675 818422245 846951125 882612225 914707215 945865125 985691025 1000293855 1036668177 1076871375 1101654675 1117975485 1156057375 1203562125 1248541965 1267038883 1316176125 1364037075 1421470215 1471020375 1524512025 1588702005 1642818375 1667156425 1702557225 1727780295 1800528939 1836091125 1863292475 2012355873 2080903275 2090397375 2273395125 2369117025 2455266735 2540853375 2647836675 2744121645 2837595375 2879633825 3000881565 3110004531 3230614125 3353926455 3468172125 3610686375 3745625895 3801116649 3948528375 4092111225 4413061125 4573536075 4928455125 5001469275 5183340885 5401586817 5508273375 5589877425 6037067619 6242709825 6335194415 6820185375 7107351075 7622560125 7943510025 8335782125 8512786125 8638901475 9002644695 9316462375 9330013593 10061779365 10404516375 11403349947 11845585125 12276333675 13239183375 13720608225 14398169125 15004407825 15550022655 16769632275 18728129475 19005583245 20460556125 22867680375 25007346375 25916704425 27007934085 27949387125 30185338095 31213549125 31675972075 34210049841 35536755375 39717550125 43194507375 45013223475 46650067965 50308896825 57016749735 61381668375 68603041125 75022039125 77750113275 83848161375 93640647375 95027916225 102630149523 129583522125 135039670425 150926690475 158379860375 171050249205 225066117375 233250339825 251544484125 285083748675 388750566375 475139581125 513150747615 675198352125 754633452375 855251246025 1166251699125 1425418743375 2565753738075 4276256230125 12828768690375
- Sum of all divisors σ(n): 29370498629472
- Sum of proper divisors (its aliquot sum) s(n): 16541729939097
- 12828768690375 is an abundant number, because the sum of its proper divisors (16541729939097) is greater than itself. Its abundance is 3712961248722
Bases of 12828768690375
- Binary: 101110101010111011100011001101100000110001112
- Hexadecimal: 0xBAAEE3360C7
- Base-36: 4JPGDNDFR
Squares and roots of 12828768690375
- 12828768690375 squared (128287686903752) is 164577306111145892617640625
- 12828768690375 cubed (128287686903753) is 2111324191784930577026969901403646484375
-
The
square root of 12828768690375 is 3581727.0541423171 -
The
cube root of 12828768690375 is 23409.6538261201
Scales and comparisons
How big is 12828768690375?- 12,828,768,690,375 seconds is equal to 407,915 years, 8 weeks, 3 days, 2 hours, 26 minutes, 15 seconds.
-
To count from 1 to 12,828,768,690,375 would take you about one million, nineteen thousand, seven hundred eighty-seven 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 12828768690375 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828768690375
- 12828768690375 backwards is 57309686782821
- The number of decimal digits it has is: 14
- The sum of 12828768690375's digits is 72
- More coming soon!
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