138974879260672
138,974,879,260,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 138974879260672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138974879260672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138974879260672:
213 × 73 × 13 × 312 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 31 × 31 × 37 × 107)See below for interesting mathematical facts about the number 138974879260672 from the Numbermatics database.
Names of 138974879260672
- Cardinal: 138974879260672 can be written as One hundred thirty-eight trillion, nine hundred seventy-four billion, eight hundred seventy-nine million, two hundred sixty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38974879260672 × 1014
Factors of 138974879260672
Divisors of 138974879260672
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 37 49 52 56 62 64 74 91 98 104 107 112 124 128 148 182 196 208 214 217 224 248 256 259 296 343 364 392 403 416 428 434 448 481 496 512 518 592 637 686 728 749 784 806 832 856 868 896 961 962 992 1024 1036 1147 1184 1274 1372 1391 1456 1498 1519 1568 1612 1664 1712 1736 1792 1813 1922 1924 1984 2048 2072 2294 2368 2548 2744 2782 2821 2912 2996 3038 3136 3224 3317 3328 3367 3424 3472 3584 3626 3844 3848 3959 3968 4096 4144 4459 4588 4736 5096 5243 5488 5564 5642 5824 5992 6076 6272 6448 6634 6656 6727 6734 6848 6944 7168 7252 7688 7696 7918 7936 8029 8192 8288 8918 9176 9472 9737 10192 10486 10633 10976 11128 11284 11648 11984 12152 12493 12544 12691 12896 13268 13312 13454 13468 13696 13888 14336 14504 14911 15376 15392 15836 15872 16058 16576 17836 18352 18944 19474 19747 20384 20972 21266 21952 22256 22568 23219 23296 23569 23968 24304 24986 25088 25382 25792 26536 26624 26908 26936 27392 27713 27776 28672 29008 29822 30752 30784 31672 31744 32116 33152 35557 35672 36701 36704 37888 38948 39494 40768 41944 42532 43121 43904 44512 45136 46438 46592 47089 47138 47936 48608 49972 50176 50764 51467 51584 53072 53248 53816 53872 54784 55426 55552 56203 57344 58016 59644 61504 61568 63344 63488 64232 66304 68159 71114 71344 73402 73408 75776 77896 78988 81536 83888 85064 86242 87451 87808 89024 90272 92876 93184 94178 94276 95872 97216 99944 100352 101528 102827 102934 103168 104377 106144 106496 107632 107744 109568 110852 111104 112406 116032 119288 122729 123008 123136 126688 126976 128464 132608 136318 138229 142228 142688 146804 146816 151552 155792 157976 162533 163072 164983 167776 170128 172484 174902 175616 178048 180544 185752 186368 188356 188552 191744 193991 194432 199888 200704 203056 205654 205868 206336 208754 212288 215264 215488 219136 221704 222208 224812 232064 238576 245458 246016 246272 248899 253376 253952 256928 265216 272636 276458 284456 285376 293608 293632 301847 303104 311584 315952 325066 326144 329623 329966 335552 340256 344968 349804 351232 356096 360269 361088 371504 372736 376712 377104 383488 387982 388864 393421 399776 401408 406112 411308 411736 412672 417508 424576 430528 430976 438272 443408 444416 449624 462241 464128 477113 477152 490916 492032 492544 497798 506752 513856 530432 545272 552916 568912 570752 587216 587264 603694 612157 623168 631904 650132 652288 659246 659932 671104 680512 689936 699608 702464 712192 719789 720538 722176 730639 743008 745472 753424 754208 766976 775964 777728 786842 799552 812224 822616 823472 825344 835016 849152 859103 861056 861952 876544 886816 888832 899248 924482 928256 954226 954304 981832 984064 985088 995596 1013504 1027712 1060864 1090544 1105832 1137731 1137824 1141504 1174432 1174528 1207388 1224314 1246336 1263808 1300264 1304576 1318492 1319864 1336751 1342208 1357937 1361024 1379872 1399216 1404928 1424384 1439578 1441076 1444352 1461278 1486016 1506848 1508416 1533952 1551928 1555456 1573684 1595477 1599104 1624448 1645232 1646944 1650688 1670032 1698304 1718206 1722112 1723904 1742293 1773632 1777664 1798496 1848964 1856512 1908452 1908608 1963664 1968128 1970176 1991192 2027008 2055424 2112929 2121728 2181088 2211664 2275462 2275648 2283008 2348864 2349056 2414776 2448628 2492672 2521883 2527616 2600528 2609152 2636984 2639728 2673502 2684416 2715874 2722048 2759744 2798432 2809856 2848768 2879156 2882152 2888704 2922556 2972032 3013696 3016832 3067904 3103856 3110912 3147368 3190954 3198208 3235687 3248896 3290464 3293888 3301376 3340064 3396608 3436412 3444224 3447808 3484586 3547264 3596992 3697928 3713024 3804599 3816904 3817216 3927328 3936256 3940352 3982384 4054016 4110848 4225858 4285099 4362176 4423328 4550924 4551296 4566016 4697728 4698112 4829552 4897256 4985344 5038523 5043766 5055232 5114473 5201056 5218304 5273968 5279456 5347004 5368832 5431748 5444096 5519488 5596864 5697536 5758312 5764304 5777408 5845112 5944064 6013721 6027392 6033664 6135808 6207712 6221824 6294736 6381908 6396416 6471374 6497792 6580928 6587776 6680128 6793216 6872824 6888448 6895616 6969172 7094528 7193984 7395856 7426048 7609198 7633808 7634432 7854656 7872512 7964768 8108032 8221696 8451716 8570198 8724352 8846656 9101848 9102592 9132032 9357257 9395456 9396224 9659104 9794512 9970688 10077046 10087532 10110464 10228946 10402112 10547936 10558912 10694008 10737664 10863496 10888192 11038976 11168339 11193728 11395072 11516624 11528608 11554816 11690224 11888128 12027442 12054784 12067328 12196051 12415424 12443648 12589472 12763816 12792832 12942748 12995584 13161856 13175552 13360256 13586432 13745648 13776896 13791232 13938344 14189056 14387968 14790503 14791712 14852096 15218396 15267616 15268864 15709312 15929536 16216064 16443392 16903432 17140396 17448704 17653181 17693312 18203696 18205184 18264064 18714514 18790912 19318208 19589024 19941376 20154092 20175064 20220928 20457892 20804224 21095872 21117824 21388016 21475328 21726992 21776384 22077952 22336678 22387456 22649809 23033248 23057216 23109632 23380448 23776256 24054884 24109568 24134656 24392102 24830848 25178944 25527632 25585664 25885496 25991168 26323712 26351104 26632193 26720512 27172864 27491296 27553792 27582464 27876688 28378112 28775936 29581006 29583424 30436792 30535232 30537728 31418624 31859072 32432128 32886784 33806864 34280792 34897408 35269661 35306362 35386624 36407392 36410368 36528128 37429028 37581824 38636416 39178048 39882752 40308184 40350128 40441856 40915784 41608448 42096047 42191744 42235648 42776032 42950656 43453984 43552768 44155904 44673356 44774912 45299618 46066496 46114432 46760896 47552512 48109768 48219136 48269312 48784204 49459787 49661696 50357888 51055264 51171328 51770992 51982336 52647424 52702208 53264386 53441024 54982592 55107584 55753376 56756224 57551872 59162012 59166848 60873584 61070464 61075456 62837248 63718144 65500799 65773568 67613728 68561584 69794816 70539322 70612724 70773248 72814784 72820736 74858056 75163648 77272832 78178373 78356096 79765504 80616368 80700256 80883712 81831568 83216896 84192094 84383488 84471296 85552064 86907968 87105536 88311808 89346712 89549824 90599236 92132992 92228864 93521792 95105024 96219536 96438272 96538624 97568408 98919574 99323392 100715776 102110528 102342656 103541984 103964672 105294848 105404416 106528772 106882048 109965184 111506752 113512448 115103744 118324024 118333696 121747168 122140928 122150912 125674496 127436288 131001598 135227456 137123168 139589632 141078644 141225448 141546496 145629568 145641472 149716112 150327296 154545664 156356746 156712192 158548663 161232736 161400512 161767424 163663136 166433792 168384188 168766976 168942592 171104128 173815936 176623616 178693424 179099648 181198472 184265984 184457728 186425351 187043584 190210048 192439072 192876544 193077248 195136816 197839148 198646784 201431552 204221056 207083968 210589696 210808832 213057544 213764096 219930368 223013504 227024896 230207488 236648048 236667392 243494336 244281856 251348992 254872576 262003196 270454912 274246336 279179264 282157288 282450896 283092992 291259136 291282944 299432224 300654592 309091328 312713492 313424384 317097326 322465472 322801024 327326272 332867584 336768376 337533952 337885184 342208256 346218509 347631872 353247232 357386848 358199296 362396944 368531968 368915456 372850702 374087168 384878144 385753088 390273632 395678296 397293568 402863104 408442112 414167936 421179392 421617664 426115088 427528192 439860736 446027008 458505593 460414976 473296096 473334784 486988672 488563712 502697984 509745152 524006392 540909824 547248611 548492672 558358528 564314576 564901792 566185984 582518272 598864448 618182656 625426984 626848768 634194652 644930944 645602048 654652544 665735168 673536752 675067904 675770368 684416512 692437018 695263744 714773696 716398592 724793888 737063936 737830912 745701404 748174336 769756288 780547264 791356592 794587136 805726208 816884224 828335872 842358784 852230176 855056384 879721472 892054016 917011186 946592192 946669568 973977344 977127424 1005395968 1019490304 1048012784 1081819648 1094497222 1096985344 1128629152 1129803584 1132371968 1165036544 1197728896 1236365312 1250853968 1253697536 1268389304 1289861888 1291204096 1304977457 1309305088 1331470336 1347073504 1350135808 1351540736 1368833024 1384874036 1390527488 1429547392 1449587776 1474127872 1475661824 1491402808 1496348672 1539512576 1561094528 1582713184 1589174272 1611452416 1633768448 1656671744 1704460352 1759442944 1784108032 1834022372 1893184384 1893339136 1947954688 1954254848 2038980608 2096025568 2163639296 2188994444 2193970688 2257258304 2259607168 2330073088 2395457792 2423529563 2472730624 2501707936 2507395072 2536778608 2579723776 2582408192 2609954914 2618610176 2694147008 2700271616 2737666048 2769748072 2781054976 2859094784 2899175552 2948255744 2951323648 2982805616 2992697344 3079025152 3122189056 3165426368 3222904832 3267536896 3313343488 3408920704 3518885888 3568216064 3668044744 3786368768 3786678272 3895909376 3908509696 4192051136 4327278592 4377988888 4387941376 4514516608 4519214336 4660146176 4790915584 4847059126 5003415872 5014790144 5073557216 5159447552 5164816384 5219909828 5237220352 5388294016 5475332096 5539496144 5562109952 5718189568 5798351104 5896511488 5965611232 5985394688 6158050304 6244378112 6330852736 6535073792 6626686976 6817841408 7037771776 7136432128 7336089488 7572737536 7791818752 8384102272 8654557184 8755977776 8775882752 9029033216 9038428672 9320292352 9581831168 9694118252 10006831744 10147114432 10318895104 10329632768 10439819656 10474440704 10776588032 10950664192 11078992288 11124219904 11436379136 11596702208 11931222464 12316100608 12488756224 12661705472 13070147584 13253373952 13635682816 14272864256 14672178976 15145475072 15583637504 16768204544 16964706941 17309114368 17511955552 17551765504 18058066432 18076857344 19163662336 19388236504 20013663488 20294228864 20637790208 20659265536 20879639312 20948881408 21553176064 22157984576 22872758272 23193404416 23862444928 24632201216 24977512448 25323410944 26506747904 27271365632 29344357952 30290950144 31167275008 33536409088 33929413882 35023911104 35103531008 36116132864 36153714688 38327324672 38776473008 40027326976 40588457728 41275580416 41759278624 41897762816 43106352128 44315969152 45745516544 46386808832 47724889856 49264402432 49955024896 50646821888 54542731264 58688715904 60581900288 67072818176 67858827764 70047822208 72232265728 72307429376 76654649344 77552946016 80054653952 81176915456 83518557248 86212704256 88631938304 91491033088 92773617664 95449779712 99910049792 101293643776 109085462528 117377431808 121163800576 134145636352 135717655528 140095644416 144464531456 144614858752 155105892032 160109307904 162353830912 167037114496 172425408512 177263876608 185547235328 190899559424 202587287552 218170925056 234754863616 268291272704 271435311056 280191288832 288929062912 310211784064 320218615808 324707661824 334074228992 344850817024 354527753216 381799118848 405174575104 469509727232 536582545408 542870622112 560382577664 620423568128 640437231616 649415323648 668148457984 709055506432 763598237696 939019454464 1085741244224 1120765155328 1240847136256 1298830647296 1336296915968 1418111012864 1527196475392 1878038908928 2171482488448 2241530310656 2481694272512 2672593831936 2836222025728 3756077817856 4342964976896 4483060621312 4963388545024 5345187663872 8685929953792 9926777090048 10690375327744 17371859907584 19853554180096 34743719815168 69487439630336 138974879260672
- Sum of all divisors σ(n): 373885014585600
- Sum of proper divisors (its aliquot sum) s(n): 234910135324928
- 138974879260672 is an abundant number, because the sum of its proper divisors (234910135324928) is greater than itself. Its abundance is 95935256064256
Bases of 138974879260672
- Binary: 111111001100101100111000100111110100000000000002
- Hexadecimal: 0x7E659C4FA000
- Base-36: 1D9G6EVX8G
Squares and roots of 138974879260672
- 138974879260672 squared (1389748792606722) is 19314017065518360385325891584
- 138974879260672 cubed (1389748792606723) is 2684163189718972663331861196817189146984448
-
The
square root of 138974879260672 is 11788760.7177629999 -
The
cube root of 138974879260672 is 51797.8939107679
Scales and comparisons
How big is 138974879260672?- 138,974,879,260,672 seconds is equal to 4,418,971 years, 14 weeks, 4 days, 23 hours, 57 minutes, 52 seconds.
-
To count from 1 to 138,974,879,260,672 would take you about eleven million, forty-seven thousand, four hundred twenty-eight 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 138974879260672 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138974879260672
- 138974879260672 backwards is 276062978479831
- The number of decimal digits it has is: 15
- The sum of 138974879260672's digits is 79
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138974879260672 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 138974879260672 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138974879260672/
Chicago style:
Numbermatics. 2024. "Number 138974879260672 - Facts about the integer". https://numbermatics.com/n/138974879260672/
The information we have on file for 138974879260672 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 138974879260672, math, Factors of 138974879260672, curriculum, school, college, exams, university, Prime factorization of 138974879260672, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred seventy-four billion, eight hundred seventy-nine million, two hundred sixty thousand, six hundred seventy-two.