138973848768216
138,973,848,768,216 is an even composite number composed of eight prime numbers multiplied together.
138973848768216 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138973848768216:
23 × 33 × 7 × 112 × 19 × 23 × 89 × 19531
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 19 × 23 × 89 × 19531)See below for interesting mathematical facts about the number 138973848768216 from the Numbermatics database.
Names of 138973848768216
- Cardinal: 138973848768216 can be written as One hundred thirty-eight trillion, nine hundred seventy-three billion, eight hundred forty-eight million, seven hundred sixty-eight thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38973848768216 × 1014
Factors of 138973848768216
Divisors of 138973848768216
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 23 24 27 28 33 36 38 42 44 46 54 56 57 63 66 69 72 76 77 84 88 89 92 99 108 114 121 126 132 133 138 152 154 161 168 171 178 184 189 198 207 209 216 228 231 242 252 253 264 266 267 276 297 308 322 342 356 363 378 396 399 414 418 437 456 462 483 484 504 506 513 532 534 552 594 616 621 623 627 644 684 693 712 726 756 759 792 798 801 828 836 847 874 924 966 968 979 1012 1026 1064 1068 1089 1188 1197 1242 1246 1254 1288 1311 1368 1386 1449 1452 1463 1512 1518 1596 1602 1656 1672 1691 1694 1748 1771 1848 1869 1881 1932 1958 2024 2047 2052 2079 2136 2178 2277 2299 2376 2394 2403 2484 2492 2508 2541 2622 2772 2783 2898 2904 2926 2937 3036 3059 3192 3204 3267 3382 3388 3496 3542 3591 3738 3762 3864 3916 3933 4094 4104 4158 4347 4356 4389 4554 4598 4788 4806 4807 4968 4984 5016 5073 5082 5244 5313 5544 5566 5607 5643 5796 5852 5874 6072 6118 6141 6408 6534 6764 6776 6831 6853 6897 7084 7182 7476 7524 7623 7832 7866 8188 8316 8349 8694 8712 8778 8811 9108 9177 9196 9576 9612 9614 10146 10164 10488 10626 10769 11132 11214 11286 11592 11704 11748 11799 11837 12236 12282 13068 13167 13528 13662 13706 13794 14168 14329 14364 14421 14952 15048 15219 15246 15732 15939 16093 16376 16632 16698 16821 17388 17556 17622 18216 18354 18392 18423 18601 19224 19228 19481 19531 20292 20328 20559 20691 21252 21538 22264 22428 22517 22572 22869 23496 23598 23674 24472 24564 25047 26136 26334 26433 27324 27412 27531 27588 28658 28728 28842 30438 30492 31464 31878 32186 32307 33396 33642 33649 34776 35112 35244 35511 36708 36846 37202 38456 38893 38962 39062 39501 40584 41118 41382 42504 42987 43076 43263 44856 45034 45144 45657 45738 47196 47348 47817 48279 49128 50094 52668 52866 52877 54648 54824 55062 55176 55269 55803 57316 57684 58443 58593 60876 60984 61677 62073 63756 64372 64614 66792 67284 67298 67551 70488 71022 73416 73692 74404 75141 75383 77786 77924 78124 79002 82236 82593 82764 85974 86152 86526 90068 91314 91476 94392 94696 95634 96558 96921 100188 100947 105336 105732 105754 106533 110124 110538 111606 114632 115368 116679 116886 117186 121752 123354 124146 127512 128744 128961 129228 129789 130207 134568 134596 135102 136717 142044 144837 147384 148808 150282 150766 155572 155848 156248 157619 158004 158631 164472 165186 165528 167409 171948 173052 175329 175779 180136 182628 182952 185031 191268 193116 193842 200376 201894 202653 204611 211464 211508 213066 214841 220248 221076 223212 226149 233358 233772 234372 246708 247687 248292 257922 258456 259578 260414 269192 270204 272251 273434 284088 289674 290763 300564 301532 302841 311144 315238 316008 317262 319599 330372 334818 343896 346104 350037 350658 351558 365256 370062 370139 371089 382536 386232 386883 387684 390621 403788 405306 409222 410151 423016 426132 427823 429682 434511 442152 446424 449213 452298 466716 467544 468744 472857 475893 493416 495374 496584 502227 515844 519156 520828 525987 527337 540408 544502 546868 579348 581526 601128 603064 605682 607959 613833 630476 634524 639198 644523 660744 669636 678447 700074 701316 703116 740124 740278 742178 743061 773766 775368 781242 807576 810612 816753 818444 820302 852264 855646 859364 869022 898426 904596 908523 933432 945714 951786 990748 1004454 1031688 1038312 1041656 1050111 1051974 1054674 1089004 1093736 1110417 1113267 1158696 1163052 1171863 1211364 1215918 1227666 1230453 1260952 1269048 1278396 1283469 1289046 1339272 1347639 1356894 1400148 1402632 1406232 1418571 1427679 1432277 1480248 1480556 1484356 1486122 1503887 1547532 1562484 1621224 1633506 1636888 1640604 1711292 1718728 1733809 1738044 1738259 1796852 1809192 1817046 1841499 1891428 1903572 1933569 1981496 2008908 2035341 2100222 2103948 2109348 2178008 2220834 2226534 2229183 2326104 2343726 2363251 2422728 2431836 2450259 2455332 2460906 2556792 2566938 2578092 2597623 2695278 2713788 2800296 2837142 2855358 2864554 2961112 2968712 2972244 2994761 3007774 3095064 3124968 3144491 3267012 3281208 3331251 3339801 3422584 3467618 3476088 3476518 3515589 3593704 3634092 3682998 3691359 3782856 3807144 3850407 3867138 4017816 4042917 4070682 4081979 4200444 4207896 4218696 4255713 4296831 4441668 4453068 4458366 4511661 4687452 4706053 4726502 4863672 4900518 4910664 4921812 4941343 5133876 5156184 5195246 5201427 5214777 5390556 5427576 5524497 5674284 5710716 5729108 5800707 5944488 5989522 6015548 6288982 6534024 6662502 6679602 6687549 6935236 6953036 7031178 7089753 7268184 7350777 7365996 7382718 7700814 7734276 7792869 8085834 8141364 8163958 8400888 8511426 8535047 8593662 8883336 8906136 8916732 8984283 9023322 9374904 9412106 9433473 9453004 9801036 9843624 9882686 9993753 10019403 10267752 10390492 10402854 10429554 10781112 11048994 11348568 11421432 11458216 11551221 11601414 11979044 12031096 12128751 12167813 12245937 12577964 12890493 13325004 13359204 13375098 13534983 13870472 13906072 14062356 14118159 14179506 14701554 14731992 14765436 14824029 15401628 15468552 15585738 15604281 15644331 16171668 16282728 16327916 16542757 17022852 17070094 17187324 17833464 17968566 18046644 18824212 18866946 18906008 19120849 19602072 19765372 19987506 20038806 20780984 20805708 20859108 21269259 22097988 23102442 23202828 23378607 23958088 24257502 24335626 24491874 25155928 25605141 25780986 26650008 26718408 26750196 26952849 27069966 28124712 28236318 28300419 28359012 28573853 29403108 29530872 29648058 30803256 31171476 31208562 31288662 32343336 32655832 32942371 33026921 33085514 34045704 34140188 34374648 34589401 35937132 36093288 36503439 36737811 37648424 37733892 38241698 38671479 39530744 39975012 39979957 40077612 40604949 41611416 41718216 42354477 42538518 44195976 44472087 44901769 46204884 46405656 46757214 46812843 46932993 48515004 48671252 48983748 49628271 51210282 51561972 53500392 53905698 54139932 54354773 56472636 56600838 56718024 57147706 57362547 58806216 59296116 59745329 62342952 62417124 62577324 63807777 65884742 66053842 66171028 68280376 69178802 70135821 71874264 73006878 73475622 75467784 76483396 76815423 77342958 79950024 79959914 80155224 80858547 81209898 84708954 84901257 85077036 85721559 88944174 89803538 92409768 93514428 93625686 93865986 93885517 97030008 97342504 97967496 98827113 99080763 99256542 102420564 103123944 103768203 107811396 108279864 108709546 109510317 110213433 112945272 113201676 114295412 114725094 118592232 119490658 119939871 124834248 125154648 127063431 127615554 131769484 132107684 132342056 133416261 133845943 134705307 138357604 140271642 146013756 146951244 148884813 152966792 153630846 154685916 159919828 161717094 162419796 163064319 169417908 169802514 170154072 171443118 172087641 177888348 179235987 179607076 187028856 187251372 187731972 187771034 197654226 198161526 198513084 204841128 207536406 210329339 215622792 217419092 219020634 220426866 226403352 228590824 229450188 230446269 231188447 238981316 239879742 254126862 255231108 257164677 263538968 264215368 266832522 267691886 269410614 276715208 279859699 280543284 281656551 292027512 293902488 296481339 297242289 297769626 307261692 309371832 311304609 314312383 319839656 323434188 324839592 326128638 328530951 338835816 339605028 342886236 344175282 355776696 358471974 359214152 359819613 363296131 374502744 375463944 375542068 380483411 395308452 396323052 397026168 401537829 404115921 415072812 420658678 434838184 438041268 439779527 440853732 446654439 458900376 460892538 462376894 477962632 479759484 489192957 508253724 510462216 514329354 516262923 533665044 535383772 537707961 538821228 559719398 561086568 563313102 592962678 594484578 595539252 614523384 622609218 628624766 630988017 646868376 652257276 657061902 657198619 679210056 685772472 688350564 693565341 716943948 719639226 726592262 751084136 759619183 760966822 771494031 790616904 792646104 803075658 808231842 830145624 839579097 841317356 844969653 876082536 879559054 881707464 889444017 891726867 893308878 921785076 924753788 933913827 942937149 959518968 978385914 1016507448 1028658708 1032525846 1032740687 1067330088 1070767544 1075415922 1077642456 1079458839 1089888393 1119438796 1126626204 1141450233 1185925356 1188969156 1191078504 1204613487 1212347763 1245218436 1257249532 1261976034 1304514552 1314123804 1314397238 1319338581 1376701128 1387130682 1433887896 1439278452 1453184524 1467578871 1472305373 1519238366 1521933644 1542988062 1606151316 1613123883 1616463684 1679158194 1682634712 1689939306 1759118108 1778888034 1783453734 1786617756 1843570152 1849507576 1867827654 1885874298 1892964051 1956771828 1971595857 2057317416 2065051692 2065481374 2080696023 2150831844 2158917678 2179776786 2238877592 2253252408 2278857549 2282900466 2371850712 2377938312 2409226974 2424695526 2490436872 2514499064 2518737291 2523952068 2534908959 2543072917 2628247608 2628794476 2638677162 2774261364 2828811447 2878556904 2906369048 2935157742 2944610746 3038476732 3043867288 3078456689 3085976124 3098222061 3212302632 3226247766 3232927368 3269665179 3358316388 3379878612 3424350699 3518236216 3557776068 3566907468 3573235512 3613840461 3735655308 3771748596 3785928102 3913543656 3943191714 3958015743 3996257441 4130103384 4130962748 4161392046 4301663688 4317835356 4359553572 4416916119 4557715098 4565800932 4818453948 4837574797 4849391052 5037474582 5047904136 5069817918 5086145834 5257588952 5277354324 5317334281 5548522728 5657622894 5678892153 5870315484 5889221492 5914787571 6076953464 6156913378 6171952248 6196444122 6242088069 6452495532 6539330358 6716632776 6759757224 6836572647 6848701398 7115552136 7133814936 7227680922 7229184809 7471310616 7543497192 7556211873 7571856204 7629218751 7886383428 7916031486 7992514882 8261925496 8322784092 8355811013 8486434341 8635670712 8719107144 8833832238 9115430196 9131601864 9235370067 9294666183 9636907896 9675149594 9698782104 9808995537 10074949164 10139635836 10172291668 10273052097 10554708648 10634668562 11315245788 11357784306 11740630968 11778442984 11829575142 11874047229 11988772323 12313826756 12392888244 12484176138 12904991064 13078660716 13250748357 13673145294 13697402796 14455361844 14458369618 14512724391 15112423746 15143712408 15258437502 15772766856 15832062972 15952002843 15985029764 16645568184 16711622026 16972868682 17667664476 17744362713 18230860392 18470740134 18589332366 19350299188 19617991074 20149898328 20279271672 20344583336 20509717941 20546104194 21269337124 21687554427 22630491576 22715568612 22887656253 23659150284 23748094458 23977544646 24627653512 24785776488 24968352276 25067433039 26157321432 26501496714 27346290588 27394805592 27706110201 27883998549 27973802087 28910723688 28916739236 29025448782 30224847492 30516875004 31664125944 31904005686 31970059528 33423244052 33863023579 33945737364 35335328952 35488725426 35966316969 36941480268 37178664732 38700598376 39235982148 39752245071 41019435882 41092208388 42538674248 43375108854 43538173173 45431137224 45775312506 47318300568 47496188916 47856008529 47955089292 49936704552 50134866078 53002993428 54692581176 55412220402 55767997098 55947604174 57833478472 58050897564 58490677091 60449694984 61033750008 63808011372 65062663281 66846488104 67726047158 67891474728 68662968759 70977450852 71932633938 73882960536 74357329464 75202299117 78471964296 79504490142 82038871764 82184416776 83118330603 83921406261 86750217708 87076346346 91550625012 91913921143 94992377832 95712017058 95910178584 100269732156 101589070737 106005986856 107898950907 110824440804 111535994196 111895208348 116101795128 116981354182 127616022744 130125326562 130614519519 135452094316 137325937518 141954901704 143568025587 143865267876 150404598234 159008980284 164077743528 166236661206 167842812522 173500435416 174152692692 175472031273 183101250024 183827842286 191424034116 195187989843 200539464312 203178141474 215797901814 221648881608 223071988392 223790416696 225606897351 233962708364 251764218783 260250653124 261229039038 270904188632 274651875036 275741763429 287136051174 287730535752 300809196468 304767212211 318017960568 332473322412 335685625044 348305385384 350944062546 367655684572 382848068232 390375979686 406356282948 431595803628 451213794702 467925416728 503528437566 520501306248 522458078076 526416093819 549303750072 551483526858 574272102348 601618392936 609534424422 643397448001 664946644824 671371250088 701888125092 735311369144 755292656349 780751959372 812712565896 827225290287 863191607256 902427589404 914301636633 1007056875132 1044916156152 1052832187638 1102967053716 1148544204696 1219068848844 1286794896002 1403776250184 1510585312698 1561503918744 1579248281457 1654450580574 1804855178808 1828603273266 1930192344003 2014113750264 2105664375276 2205934107432 2438137697688 2481675870861 2573589792004 3021170625396 3158496562914 3308901161148 3657206546532 3860384688006 4211328750552 4963351741722 5147179584008 5790577032009 6042341250792 6316993125828 6617802322296 7314413093064 7720769376012 9926703483444 11581154064018 12633986251656 15441538752024 17371731096027 19853406966888 23162308128036 34743462192054 46324616256072 69486924384108 138973848768216
- Sum of all divisors σ(n): 538670684160000
- Sum of proper divisors (its aliquot sum) s(n): 399696835391784
- 138973848768216 is an abundant number, because the sum of its proper divisors (399696835391784) is greater than itself. Its abundance is 260722986623568
Bases of 138973848768216
- Binary: 111111001100101010111101110001110001110110110002
- Hexadecimal: 0x7E655EE38ED8
- Base-36: 1D9FPDCW60
Squares and roots of 138973848768216
- 138973848768216 squared (1389738487682162) is 19313730641450971820491822656
- 138973848768216 cubed (1389738487682163) is 2684103481315066755686213615088846321501696
-
The
square root of 138973848768216 is 11788717.0111177069 -
The
cube root of 138973848768216 is 51797.7658841031
Scales and comparisons
How big is 138973848768216?- 138,973,848,768,216 seconds is equal to 4,418,938 years, 26 weeks, 6 days, 3 minutes, 36 seconds.
-
To count from 1 to 138,973,848,768,216 would take you about eleven million, forty-seven thousand, three hundred forty-six 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 138973848768216 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138973848768216
- 138973848768216 backwards is 612867848379831
- The number of decimal digits it has is: 15
- The sum of 138973848768216's digits is 81
- 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 138973848768216 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 138973848768216 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138973848768216/
Chicago style:
Numbermatics. 2024. "Number 138973848768216 - Facts about the integer". https://numbermatics.com/n/138973848768216/
The information we have on file for 138973848768216 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 138973848768216, math, Factors of 138973848768216, curriculum, school, college, exams, university, Prime factorization of 138973848768216, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred seventy-three billion, eight hundred forty-eight million, seven hundred sixty-eight thousand, two hundred sixteen.