138672036478976
138,672,036,478,976 is an even composite number composed of six prime numbers multiplied together.
What does the number 138672036478976 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138672036478976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138672036478976:
215 × 7 × 112 × 13 × 292 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 29 × 29 × 457)See below for interesting mathematical facts about the number 138672036478976 from the Numbermatics database.
Names of 138672036478976
- Cardinal: 138672036478976 can be written as One hundred thirty-eight trillion, six hundred seventy-two billion, thirty-six million, four hundred seventy-eight thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38672036478976 × 1014
Factors of 138672036478976
Divisors of 138672036478976
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 32 44 52 56 58 64 77 88 91 104 112 116 121 128 143 154 176 182 203 208 224 232 242 256 286 308 319 352 364 377 406 416 448 457 464 484 512 572 616 638 704 728 754 812 832 841 847 896 914 928 968 1001 1024 1144 1232 1276 1408 1456 1508 1573 1624 1664 1682 1694 1792 1828 1856 1936 2002 2048 2233 2288 2464 2552 2639 2816 2912 3016 3146 3199 3248 3328 3364 3388 3509 3584 3656 3712 3872 4004 4096 4147 4466 4576 4928 5027 5104 5278 5632 5824 5887 5941 6032 6292 6398 6496 6656 6728 6776 7018 7168 7312 7424 7744 8008 8192 8294 8932 9152 9251 9856 10054 10208 10556 10933 11011 11264 11648 11774 11882 12064 12584 12796 12992 13253 13312 13456 13552 14036 14336 14624 14848 15488 16016 16384 16588 17864 18304 18502 19712 20108 20416 21112 21866 22022 22528 23296 23548 23764 24128 24563 25168 25592 25984 26506 26624 26912 27104 28072 28672 29029 29248 29696 30976 32032 32768 33176 35189 35728 36608 37004 39424 40216 40832 41587 42224 43732 44044 45056 45617 46592 47096 47528 48256 49126 50336 51184 51968 53012 53248 53824 54208 55297 56144 57344 58058 58496 59392 61952 64064 64757 65351 66352 70378 71456 73216 74008 76531 78848 80432 81664 83174 84448 87464 88088 90112 91234 92771 93184 94192 95056 96512 98252 100672 101761 102368 103936 106024 106496 107648 108416 110594 112288 114688 116116 116992 118784 120263 123904 128128 129514 130702 132704 140756 142912 145783 146432 148016 153062 157696 160864 163328 166348 168896 172289 174928 176176 180224 182468 185542 186368 188384 190112 193024 196504 201344 203522 204736 207872 212048 212992 215296 216832 221188 224576 229376 232232 233984 237568 240526 247808 256256 259028 261404 265408 281512 285824 291566 292864 296032 306124 315392 319319 321728 326656 332696 337792 344578 349856 352352 360448 364936 371084 372736 376768 380224 384337 386048 387079 393008 402688 407044 409472 415744 424096 425984 430592 433664 442376 449152 457457 464464 467968 475136 481052 495616 512512 518056 522808 530816 563024 571648 583132 585728 592064 612248 630784 638638 643456 653312 665392 675584 689156 699712 704704 712327 718861 729872 742168 745472 753536 760448 768674 772096 774158 786016 805376 814088 818944 831488 841841 848192 861184 867328 884752 898304 914914 928928 935936 950272 962104 991232 1020481 1025024 1036112 1045616 1061632 1126048 1143296 1166264 1171456 1184128 1206023 1224496 1261568 1277276 1286912 1306624 1322893 1330784 1351168 1378312 1399424 1409408 1424654 1437722 1459744 1484336 1490944 1507072 1520896 1537348 1544192 1548316 1572032 1603613 1610752 1628176 1637888 1662976 1683682 1696384 1722368 1734656 1769504 1796608 1829828 1857856 1871872 1895179 1924208 1982464 2040962 2050048 2072224 2091232 2123264 2252096 2286592 2332528 2342912 2368256 2412046 2448992 2523136 2554552 2573824 2613248 2645786 2661568 2690359 2702336 2756624 2798848 2818816 2849308 2875444 2919488 2968672 2981888 3014144 3041792 3074696 3088384 3096632 3144064 3207226 3221504 3256352 3275776 3325952 3367364 3392768 3444736 3469312 3539008 3593216 3659656 3715712 3743744 3790358 3848416 3964928 4081924 4100096 4144448 4182464 4227707 4246528 4504192 4573184 4665056 4685824 4736512 4824092 4897984 4996381 5032027 5109104 5147648 5226496 5291572 5323136 5380718 5404672 5513248 5597696 5637632 5698616 5750888 5838976 5937344 6028288 6083584 6149392 6176768 6193264 6288128 6414452 6443008 6512704 6551552 6651904 6734728 6785536 6889472 6938624 7078016 7186432 7319312 7431424 7487488 7580716 7696832 8163848 8200192 8288896 8364928 8455414 8493056 9008384 9146368 9260251 9330112 9473024 9648184 9795968 9992762 10064054 10218208 10295296 10452992 10583144 10646272 10761436 10809344 11026496 11195392 11225291 11275264 11397232 11501776 11677952 11874688 12056576 12167168 12298784 12353536 12386528 12576256 12828904 12886016 13025408 13103104 13266253 13469456 13571072 13778944 13877248 14156032 14372864 14638624 14862848 14974976 15161432 15393664 16327696 16400384 16577792 16729856 16910828 16986112 18016768 18292736 18520502 18660224 18946048 19296368 19591936 19985524 20128108 20436416 20590592 20846969 21166288 21292544 21522872 21618688 22052992 22390784 22450582 22550528 22794464 23003552 23355904 23749376 24113152 24334336 24597568 24773056 25152512 25657808 25772032 26050816 26206208 26532506 26938912 27142144 27557888 27754496 28312064 28745728 29277248 29593949 29725696 30322864 30787328 32655392 32800768 33155584 33459712 33821656 33972224 34974667 36033536 36585472 37041004 37320448 37892096 38592736 39183872 39971048 40256216 40872832 41181184 41693938 42332576 42585088 43045744 43237376 44105984 44781568 44901164 45101056 45588928 46007104 46504777 46711808 47498752 48226304 48668672 49195136 49546112 50305024 51315616 51544064 52101632 52412416 53065012 53877824 54284288 54960191 56624128 57491456 58554496 59187898 59451392 60645728 61574656 65310784 66311168 66919424 67643312 67944448 69949334 72067072 73170944 74082008 74640896 75784192 77185472 78367744 79942096 80512432 81745664 82362368 83387876 84665152 85170176 86091488 86474752 88211968 89563136 89802328 90202112 91177856 92014208 93009554 93423616 94997504 96452608 97337344 98390272 99092224 100610048 102631232 104203264 104824832 106130024 107755648 108568576 109920382 113248256 114982912 117108992 118375796 118902784 121291456 123149312 130621568 132622336 133838848 135286624 135888896 139898668 144134144 145928783 148164016 149281792 151568384 154370944 156735488 159884192 161024864 163491328 164724736 166775752 169330304 170340352 172182976 176423936 179126272 179604656 180404224 182355712 184028416 186019108 186847232 189995008 192905216 194674688 196780544 198184448 201220096 205262464 208406528 212260048 215511296 217137152 219840764 226496512 234217984 236751592 237805568 242582912 246298624 261243136 265244672 267677696 270573248 279797336 288268288 291857566 296328032 298563584 303136768 308741888 313470976 319768384 322049728 325533439 326982656 333551504 338660608 340680704 344365952 352847872 358252544 359209312 360808448 364711424 368056832 372038216 373694464 379990016 384721337 393561088 396368896 402440192 410524928 416813056 424520096 431022592 434274304 439681528 452993024 468435968 473503184 475611136 485165824 492597248 522486272 530489344 535355392 541146496 559594672 576536576 583715132 592656064 597127168 604562101 617483776 626941952 639536768 644099456 651066878 653965312 667103008 677321216 681361408 688731904 705695744 718418624 729422848 736113664 744076432 747388928 759980032 769442674 787122176 792737792 804880384 821049856 833626112 849040192 862045184 879363056 905986048 936871936 947006368 951222272 970331648 985194496 1044972544 1060978688 1070710784 1082292992 1119189344 1153073152 1167430264 1185312128 1194254336 1209124202 1234967552 1253883904 1279073536 1288198912 1302133756 1307930624 1334206016 1354642432 1362722816 1377463808 1411391488 1436837248 1458845696 1472227328 1488152864 1494777856 1519960064 1538885348 1574244352 1585475584 1642099712 1667252224 1698080384 1724090368 1758726112 1811972096 1873743872 1894012736 1940663296 1970388992 2089945088 2121957376 2141421568 2164585984 2238378688 2334860528 2370624256 2388508672 2418248404 2469935104 2507767808 2558147072 2576397824 2604267512 2615861248 2668412032 2709284864 2754927616 2822782976 2873674496 2917691392 2944454656 2976305728 3039920128 3077770696 3148488704 3170951168 3284199424 3334504448 3396160768 3448180736 3517452224 3747487744 3788025472 3881326592 3940777984 4179890176 4231934707 4329171968 4476757376 4669721056 4741248512 4777017344 4836496808 4939870208 5116294144 5152795648 5208535024 5231722496 5336824064 5418569728 5509855232 5645565952 5747348992 5835382784 5888909312 5952611456 6155541392 6296977408 6341902336 6568398848 6792321536 6896361472 7034904448 7494975488 7576050944 7762653184 8359780352 8463869414 8658343936 8953514752 9339442112 9482497024 9672993616 9879740416 10232588288 10305591296 10417070048 10463444992 10673648128 10837139456 11019710464 11494697984 11670765568 11777818624 11905222912 12311082784 12593954816 12683804672 13136797696 13584643072 13792722944 14069808896 14989950976 15152101888 15525306368 16719560704 16927738828 17316687872 17907029504 18678884224 18964994048 19345987232 19759480832 20465176576 20611182592 20834140096 21347296256 21674278912 22039420928 22989395968 23341531136 23555637248 23810445824 24622165568 26273595392 27169286144 27585445888 28139617792 30304203776 31050612736 33439121408 33855477656 34633375744 35814059008 37357768448 37929988096 38691974464 39518961664 40930353152 41222365184 41668280192 42694592512 43348557824 44078841856 45978791936 47620891648 49244331136 52547190784 54338572288 56279235584 60608407552 62101225472 67710955312 69266751488 71628118016 74715536896 75859976192 77383948928 81860706304 82444730368 83336560384 85389185024 88157683712 91957583872 95241783296 98488662272 108677144576 112558471168 121216815104 135421910624 138533502976 143256236032 149431073792 151719952384 154767897856 163721412608 164889460736 166673120768 170778370048 183915167744 190483566592 196977324544 217354289152 225116942336 242433630208 270843821248 286512472064 298862147584 303439904768 309535795712 333346241536 341556740096 367830335488 380967133184 393954649088 434708578304 450233884672 484867260416 541687642496 573024944128 597724295168 619071591424 666692483072 683113480192 761934266368 787909298176 900467769344 969734520832 1083375284992 1146049888256 1195448590336 1238143182848 1333384966144 1523868532736 1575818596352 1800935538688 2166750569984 2390897180672 2476286365696 2666769932288 3151637192704 4333501139968 4781794361344 4952572731392 5333539864576 6303274385408 8667002279936 9905145462784 10667079729152 12606548770816 17334004559872 19810290925568 34668009119744 69336018239488 138672036478976
- Sum of all divisors σ(n): 389427485472480
- Sum of proper divisors (its aliquot sum) s(n): 250755448993504
- 138672036478976 is an abundant number, because the sum of its proper divisors (250755448993504) is greater than itself. Its abundance is 112083412514528
Bases of 138672036478976
- Binary: 111111000011111000110010111100110000000000000002
- Hexadecimal: 0x7E1F19798000
- Base-36: 1D5L1Y43CW
Squares and roots of 138672036478976
- 138672036478976 squared (1386720364789762) is 19229933701226450459690008576
- 138672036478976 cubed (1386720364789763) is 2666654067704764306776989753471862283698176
-
The
square root of 138672036478976 is 11775909.1572148263 -
The
cube root of 138672036478976 is 51760.2419588205
Scales and comparisons
How big is 138672036478976?- 138,672,036,478,976 seconds is equal to 4,409,341 years, 42 weeks, 4 days, 5 hours, 2 minutes, 56 seconds.
-
To count from 1 to 138,672,036,478,976 would take you about eleven million, twenty-three thousand, three hundred fifty-four 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 138672036478976 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138672036478976
- 138672036478976 backwards is 679874630276831
- 138672036478976 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138672036478976's digits is 77
- More coming soon!
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The information we have on file for 138672036478976 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 138672036478976, math, Factors of 138672036478976, curriculum, school, college, exams, university, Prime factorization of 138672036478976, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred seventy-two billion, thirty-six million, four hundred seventy-eight thousand, nine hundred seventy-six.