138675300031125
138,675,300,031,125 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138675300031125 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1280 divisors.
138675300031125 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138675300031125:
34 × 53 × 11 × 13 × 29 × 71 × 181 × 257
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 29 × 71 × 181 × 257)See below for interesting mathematical facts about the number 138675300031125 from the Numbermatics database.
Names of 138675300031125
- Cardinal: 138675300031125 can be written as One hundred thirty-eight trillion, six hundred seventy-five billion, three hundred million, thirty-one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38675300031125 × 1014
Factors of 138675300031125
Divisors of 138675300031125
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 3 5 9 11 13 15 25 27 29 33 39 45 55 65 71 75 81 87 99 117 125 135 143 145 165 181 195 213 225 257 261 275 297 319 325 351 355 375 377 405 429 435 495 543 585 639 675 715 725 771 781 783 825 891 905 923 957 975 1053 1065 1125 1131 1285 1287 1305 1375 1485 1595 1625 1629 1755 1775 1885 1917 1991 2025 2059 2145 2175 2313 2343 2349 2353 2475 2715 2769 2827 2871 2925 3195 3341 3375 3393 3575 3625 3855 3861 3905 3915 4125 4147 4455 4525 4615 4785 4875 4887 5249 5265 5325 5655 5751 5973 6177 6425 6435 6525 6939 7029 7059 7425 7453 7975 8145 8307 8481 8613 8775 8875 9425 9585 9955 10023 10125 10153 10179 10295 10725 10875 11565 11583 11715 11745 11765 12375 12441 12851 13575 13845 14135 14355 14625 14661 15747 15975 16705 16965 17875 17919 18247 18531 19275 19305 19525 19575 20735 20817 21087 21177 22275 22359 22625 22649 23075 23925 24435 24921 25443 25839 25883 26245 26325 26625 26767 28275 28755 29865 30069 30459 30537 30885 32125 32175 32625 34695 35145 35295 36751 37125 37265 37323 38553 39875 40725 41535 42405 43065 43875 46517 47125 47241 47925 49775 50115 50765 50895 51475 53625 53757 54741 55593 57739 57825 57915 58575 58725 58825 62205 63261 63531 64255 67077 67875 67947 68237 69225 70675 71775 73305 74763 76329 77649 78735 79875 80301 81983 83525 84825 89595 90207 91235 91377 92655 96375 96525 96889 97625 97875 103675 104085 105435 105885 110253 111375 111795 111969 113245 115375 115659 119625 122175 124605 127215 129195 129415 131225 131625 133835 139551 141361 141375 141723 143775 149325 150345 152295 152685 154425 160875 161271 164223 166779 167063 173217 173475 175725 176475 183755 186325 186615 190593 192765 200717 201231 203625 203841 204711 207675 212025 215325 228987 232585 232947 236205 237211 239625 240903 245949 248875 250575 253825 254475 257375 268785 270621 273705 274131 277965 288695 289125 289575 290667 292875 293625 294125 294437 311025 316305 317655 321275 330759 335385 335907 339735 341185 346125 346977 353375 358875 366525 372679 373815 381645 388245 393675 401505 409915 417625 418653 424083 424125 425169 447975 451035 456175 456885 463275 482625 484445 492669 501189 511687 518375 519651 520425 527175 529163 529425 551265 558975 559845 566225 578295 602151 603693 604721 610875 611523 614133 623025 636075 645975 647075 656125 669175 697755 698841 706805 708615 711633 718875 722709 737847 746625 750607 751725 761475 763425 772125 806355 821115 822393 833895 835315 866085 867375 872001 878625 882375 883311 918775 931625 933075 952965 963825 992277 1003585 1006155 1019205 1023555 1038375 1040931 1060125 1065779 1076625 1118037 1144935 1162925 1164735 1181025 1186055 1204515 1229745 1252875 1255959 1269125 1272249 1272375 1343925 1348993 1353105 1368525 1370655 1389825 1443475 1447875 1453335 1472185 1478007 1503567 1535061 1555125 1558953 1581525 1587489 1588275 1606375 1653795 1676925 1679535 1698675 1705925 1734885 1806453 1814163 1832625 1834569 1837693 1842399 1863395 1869075 1908225 1941225 1968375 2007525 2049575 2093265 2096523 2120415 2125845 2134899 2168127 2213541 2239875 2251821 2255175 2280875 2284425 2316375 2422225 2463345 2505945 2558435 2598255 2602125 2609321 2616003 2635875 2645815 2647125 2649933 2756325 2794875 2799225 2831125 2891475 2976831 3010755 3018465 3023605 3057615 3070665 3115125 3180375 3197337 3229875 3235375 3302707 3345875 3354111 3488775 3494205 3534025 3543075 3558165 3613545 3689235 3753035 3758625 3767877 3807375 3816747 3817125 4031775 4046979 4099469 4105575 4111965 4169475 4176575 4330425 4360005 4416555 4510701 4593875 4605183 4665375 4676859 4762467 4764825 4819125 4844827 4961385 5017925 5030775 5096025 5117775 5204655 5328895 5419359 5442489 5513079 5527197 5590185 5724675 5814625 5820793 5823675 5905125 5930275 6022575 6148725 6279795 6361245 6404697 6640623 6651931 6719625 6744965 6755463 6765525 6842625 6853275 6879119 6949125 7217375 7266675 7360925 7390035 7517835 7675305 7794765 7827963 7848009 7907625 7937445 7941375 7949799 8268975 8384625 8397675 8493375 8529625 8674425 9032265 9070815 9172845 9188465 9211995 9316975 9345375 9541125 9592011 9706125 9908121 10037625 10062333 10247875 10466325 10482615 10602075 10629225 10674495 10840635 11067705 11259105 11275875 11422125 11450241 12111125 12140937 12298407 12316725 12529725 12792175 12991275 13046605 13080015 13229075 13249665 13532103 13781625 13815549 13996125 14287401 14457375 14534481 14838923 14884155 15053775 15092325 15118025 15288075 15353325 15986685 16258077 16327467 16513535 16539237 16770555 17443875 17462379 17471025 17536909 17670125 17715375 17790825 18067725 18446175 18765175 18839385 19083735 19214091 19955793 20158875 20234895 20266389 20497345 20527875 20559825 20637357 20847375 20882875 21652125 21800025 22082775 22553505 23025915 23384295 23483889 23812335 23824125 23849397 24224135 24806925 25089625 25153875 25480125 25588875 26023275 26644475 27096795 27212445 27565395 27635985 27950925 28623375 28776033 29103965 29118375 29651375 29724363 30112875 30186999 30743625 31398975 31806225 32023485 33203115 33259655 33724825 33777315 33827625 34266375 34395595 36329777 36333375 36422811 36804625 36895221 36950175 37589175 38376525 38973825 39139815 39240045 39687225 39748995 41344875 41446647 41988375 42862203 42935191 43372125 43603443 44516769 45161325 45354075 45864225 45942325 46059975 46584875 47960055 48982401 49540605 49617711 50311665 52331625 52387137 52413075 52610727 53010375 53146125 53293097 53372475 54203175 55338525 56295525 57251205 59867379 60704685 60799167 61492035 61583625 61912071 62648625 63960875 64956375 65233025 65400075 66145375 66248325 67660515 69077745 70451667 71437005 72672405 74194615 74420775 75268875 75461625 75590125 75670309 76440375 76766625 79933425 81290385 81637335 82567675 82696185 83852775 86328099 87311895 87355125 87684545 88954125 89173089 90338625 92230875 93825875 94196925 95418675 95778503 96070455 99778965 101174475 101331945 102486725 102799125 103186785 108989331 109000125 109268433 110413875 110685663 112767525 115129575 116921475 117419445 119061675 119246985 121120675 124034625 128805573 130116375 130810329 133222375 133550307 135483975 136062225 137826975 138179925 139754625 143880165 145519825 148621815 148853133 150934995 156994875 157161411 157832181 159031125 159879291 160117425 166015575 166298275 168624125 168886575 171977975 179602137 181648885 182114055 184476105 184750875 185736213 187945875 191882625 192905999 194869125 195699075 196200225 198436125 198744975 207233235 211355001 214311015 214675955 218017215 222583845 225806625 226770375 227010927 229321125 229711625 230299875 239800275 244912005 247703025 248088555 251558325 261935685 262065375 263053635 266465485 266862375 267519267 271015875 276692625 281477625 286256025 287335509 299336895 303523425 303995835 307460175 309560355 326165125 326967993 327000375 331241625 332056989 338302575 345388725 352258335 357185025 363362025 370973075 372103875 378351545 386416719 392430987 399667125 400650921 406451925 408186675 412838375 413480925 419263875 431640495 436559475 438422725 445865445 470984625 471484233 472287101 473496543 477093375 478892515 479637873 480352275 498894825 505872375 506659725 512433625 515933925 538806411 544946655 546342165 553428315 557208639 563837625 575647875 578717997 584607375 587097225 595308375 596234925 605603375 644027865 654051645 667751535 677419875 680311125 681032781 689134875 690899625 719400825 727599125 743109075 744265665 754674975 785807055 789160905 799396455 800587125 830077875 831491375 844432875 859889875 862006527 898010685 908244425 910570275 922380525 928681065 964529995 978495375 980903979 981001125 993724875 1036166175 1053563533 1056775005 1071555075 1073379775 1090086075 1112919225 1135054635 1159250157 1199001375 1201952763 1224560025 1238515125 1240442775 1245120539 1257791625 1309678425 1315268175 1332327425 1337596335 1416861303 1420489629 1431280125 1436677545 1438913619 1496684475 1517617125 1519979175 1537300875 1547801775 1634839965 1660284945 1691512875 1726943625 1736153991 1761291675 1785925125 1816810125 1854865375 1891757725 1932083595 1962154935 2003254605 2032259625 2040933375 2043098343 2067404625 2158202475 2182797375 2192113625 2229327225 2357421165 2361435505 2367482715 2394462575 2398189365 2401761375 2494474125 2533298625 2579669625 2586019581 2694032055 2724733275 2731710825 2767141575 2786043195 2893589985 2935486125 2942711937 2981174625 3160690599 3220139325 3270258225 3338757675 3405163905 3477750471 3597004125 3715545375 3721328325 3735361617 3773374875 3929035275 3945804525 3996982275 4250583909 4310032635 4316740857 4490053425 4541222125 4552851375 4611902625 4643405325 4822649975 4904519895 5180830875 5208461973 5267817665 5283875025 5357775375 5366898875 5450430375 5564596125 5675273175 5796250785 6009763815 6122800125 6129295029 6202213875 6225602695 6548392125 6576340875 6661637125 6687981675 7084306515 7102448145 7183387725 7194568095 7483422375 7599895875 7739008875 7758058743 8174199825 8301424725 8680769955 8806458375 9458788625 9482071797 9660417975 9810774675 10016273025 10215491715 10791012375 11146636125 11206084851 11787105825 11807177525 11837413575 11972312875 11990946825 12751751727 12930097905 13470160275 13623666375 13658554125 13696325929 13835707875 13930215975 14467949925 14713559685 15625385919 15803452995 16100696625 16351291125 16693788375 17025819525 17388752355 18606641625 18676808085 19645176375 19729022625 19984911375 21252919545 21550163175 21583704285 22450267125 23217026625 24113249875 24522599475 26042309865 26339088325 26419375125 28376365875 28446215391 28981253925 30048819075 30646475145 31128013475 33439908375 33618254553 35421532575 35512240725 35916938625 35972840475 38255255181 38790293715 40870999125 41088977787 41507123625 43403849775 47410358985 48302089875 49053873375 50081365125 51077458575 56030424255 58935529125 59035887625 59187067875 59954734125 63758758635 64650489525 67350801375 68481629645 69651079875 72339749625 73567798425 78126929595 79017264975 85129097625 85338646173 86943761775 93384040425 100854763659 106264597725 107750815875 107918521425 122612997375 123266933361 130211549325 131695441625 142231076955 144906269625 150244095375 153232375725 155640067375 168091272765 177107662875 177561203625 179864202375 191276275905 193951468575 205444888935 217019248875 237051794925 255387292875 280152121275 318793793175 323252447625 342408148225 367838992125 369800800083 390634647975 395086324875 426693230865 434718808875 466920202125 504273818295 531322988625 539592607125 616334666805 651057746625 711155384775 766161878625 840456363825 956381379525 969757342875 1027224444675 1109402400249 1185258974625 1400760606375 1593968965875 1712040741125 1849004000415 1953173239875 2133466154325 2521369091475 3081673334025 3555776923875 4202281819125 4781906897625 5136122223375 5547012001245 9245020002075 10667330771625 12606845457375 15408366670125 27735060006225 46225100010375 138675300031125
- Sum of all divisors σ(n): 321635587553280
- Sum of proper divisors (its aliquot sum) s(n): 182960287522155
- 138675300031125 is an abundant number, because the sum of its proper divisors (182960287522155) is greater than itself. Its abundance is 44284987491030
Bases of 138675300031125
- Binary: 111111000011111110110111111111101011010100101012
- Hexadecimal: 0x7E1FDBFF5A95
- Base-36: 1D5MJX5CB9
Squares and roots of 138675300031125
- 138675300031125 squared (1386753000311252) is 19230838838722537425968765625
- 138675300031125 cubed (1386753000311253) is 2666842345810059353162685341059840330078125
-
The
square root of 138675300031125 is 11776047.7254096163 -
The
cube root of 138675300031125 is 51760.6480030093
Scales and comparisons
How big is 138675300031125?- 138,675,300,031,125 seconds is equal to 4,409,445 years, 30 weeks, 4 days, 19 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,675,300,031,125 would take you about eleven million, twenty-three thousand, six hundred thirteen 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 138675300031125 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138675300031125
- 138675300031125 backwards is 521130003576831
- 138675300031125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138675300031125's digits is 45
- More coming soon!
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"Number 138675300031125 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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The information we have on file for 138675300031125 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 138675300031125, math, Factors of 138675300031125, curriculum, school, college, exams, university, Prime factorization of 138675300031125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred seventy-five billion, three hundred million, thirty-one thousand, one hundred twenty-five.