138027480288768
138,027,480,288,768 is an even composite number composed of five prime numbers multiplied together.
138027480288768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 138027480288768:
29 × 39 × 73 × 73 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 73 × 547)See below for interesting mathematical facts about the number 138027480288768 from the Numbermatics database.
Names of 138027480288768
- Cardinal: 138027480288768 can be written as One hundred thirty-eight trillion, twenty-seven billion, four hundred eighty million, two hundred eighty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38027480288768 × 1014
Factors of 138027480288768
Divisors of 138027480288768
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 73 81 84 96 98 108 112 126 128 144 146 147 162 168 189 192 196 216 219 224 243 252 256 288 292 294 324 336 343 378 384 392 432 438 441 448 486 504 511 512 547 567 576 584 588 648 657 672 686 729 756 768 784 864 876 882 896 972 1008 1022 1029 1094 1134 1152 1168 1176 1296 1314 1323 1344 1372 1458 1512 1533 1536 1568 1641 1701 1728 1752 1764 1792 1944 1971 2016 2044 2058 2187 2188 2268 2304 2336 2352 2592 2628 2646 2688 2744 2916 3024 3066 3087 3136 3282 3402 3456 3504 3528 3577 3584 3829 3888 3942 3969 4032 4088 4116 4374 4376 4536 4599 4608 4672 4704 4923 5103 5184 5256 5292 5376 5488 5832 5913 6048 6132 6174 6272 6561 6564 6804 6912 7008 7056 7154 7658 7776 7884 7938 8064 8176 8232 8748 8752 9072 9198 9261 9344 9408 9846 10206 10368 10512 10584 10731 10752 10976 11487 11664 11826 11907 12096 12264 12348 12544 13122 13128 13608 13797 13824 14016 14112 14308 14769 15309 15316 15552 15768 15876 16128 16352 16464 17496 17504 17739 18144 18396 18522 18688 18816 19683 19692 20412 20736 21024 21168 21462 21952 22974 23328 23652 23814 24192 24528 24696 25039 25088 26244 26256 26803 27216 27594 27783 28032 28224 28616 29538 30618 30632 31104 31536 31752 32193 32256 32704 32928 34461 34992 35008 35478 35721 36288 36792 37044 37376 37632 39366 39384 39931 40824 41391 41472 42048 42336 42924 43904 44307 45927 45948 46656 47304 47628 48384 49056 49392 50078 52488 52512 53217 53606 54432 55188 55566 56064 56448 57232 59076 61236 61264 62208 63072 63504 64386 65408 65856 68922 69984 70016 70956 71442 72576 73584 74088 75117 75264 78732 78768 79862 80409 81648 82782 83349 84096 84672 85848 87808 88614 91854 91896 93312 94608 95256 96579 96768 98112 98784 100156 103383 104976 105024 106434 107163 107212 108864 110376 111132 112128 112896 114464 118152 119793 122472 122528 124173 124416 126144 127008 128772 130816 131712 132921 137781 137844 139968 140032 141912 142884 145152 147168 148176 150234 157464 157536 159651 159724 160818 163296 165564 166698 168192 169344 171696 175616 177228 183708 183792 186624 187621 189216 190512 193158 196224 197568 200312 206766 209952 210048 212868 214326 214424 217728 220752 222264 225351 225792 228928 236304 239586 241227 244944 245056 248346 250047 252288 254016 257544 261632 263424 265842 275562 275688 279517 279936 280064 283824 285768 289737 290304 294336 296352 300468 310149 314928 315072 319302 319448 321489 321636 326592 331128 333396 336384 338688 343392 354456 359379 367416 367584 372519 373248 375242 378432 381024 386316 392448 395136 398763 400624 413532 419904 420096 425736 428652 428848 435456 441504 444528 450702 457856 472608 478953 479172 482454 489888 490112 496692 500094 504576 508032 515088 526848 531684 551124 551376 559034 559872 562863 567648 571536 579474 588672 592704 600936 620298 629856 630144 638604 638896 642978 643272 653184 662256 666792 676053 677376 686784 708912 718758 723681 734832 735168 745038 750141 750484 756864 762048 772632 784896 790272 797526 801248 827064 838551 839808 840192 851472 857304 857696 869211 870912 883008 889056 901404 915712 930447 945216 957906 958344 964467 964908 979776 980224 993384 1000188 1009152 1016064 1030176 1063368 1078137 1102248 1102752 1117557 1118068 1119744 1125726 1135296 1143072 1158948 1177344 1185408 1196289 1201872 1240596 1259712 1260288 1277208 1277792 1285956 1286544 1306368 1324512 1333584 1352106 1373568 1417824 1436859 1437516 1447362 1469664 1470336 1490076 1500282 1500968 1513728 1524096 1545264 1580544 1595052 1602496 1654128 1677102 1679616 1688589 1702944 1714608 1715392 1738422 1766016 1778112 1802808 1831424 1860894 1890432 1915812 1916688 1928934 1929816 1956619 1959552 1960448 1986768 2000376 2028159 2032128 2060352 2126736 2156274 2171043 2204496 2205504 2235114 2236136 2250423 2251452 2270592 2286144 2317896 2354688 2370816 2392578 2403744 2481192 2515653 2519424 2520576 2554416 2555584 2571912 2573088 2607633 2612736 2649024 2667168 2704212 2747136 2791341 2835648 2873718 2875032 2894724 2939328 2940672 2980152 3000564 3001936 3027456 3048192 3090528 3190104 3204992 3234411 3308256 3352671 3354204 3359232 3377178 3405888 3429216 3430784 3476844 3532032 3556224 3588867 3605616 3721788 3780864 3831624 3833376 3857868 3859632 3913238 3919104 3973536 4000752 4056318 4120704 4253472 4312548 4342086 4408992 4411008 4470228 4472272 4500846 4502904 4541184 4572288 4635792 4741632 4785156 4807488 4962384 5031306 5038848 5065767 5108832 5111168 5143824 5146176 5215266 5298048 5334336 5408424 5494272 5582682 5671296 5747436 5750064 5789448 5869857 5878656 5881344 5960304 6001128 6003872 6084477 6096384 6181056 6380208 6409984 6468822 6513129 6616512 6705342 6708408 6751269 6754356 6811776 6858432 6861568 6953688 7064064 7112448 7177734 7211232 7443576 7546959 7561728 7663248 7666752 7715736 7719264 7822899 7826476 7838208 7947072 8001504 8112636 8241408 8374023 8506944 8625096 8684172 8817984 8822016 8940456 8944544 9001692 9005808 9082368 9144576 9271584 9570312 9614976 9703233 9924768 10058013 10062612 10077696 10131534 10217664 10222336 10287648 10292352 10430532 10596096 10668672 10766601 10816848 11165364 11342592 11494872 11500128 11578896 11739714 11757312 11920608 12002256 12007744 12168954 12362112 12760416 12819968 12937644 13026258 13233024 13410684 13416816 13502538 13508712 13623552 13696333 13716864 13723136 13907376 14224896 14355468 14422464 14887152 15093918 15197301 15326496 15333504 15431472 15438528 15645798 15652952 15894144 16003008 16225272 16482816 16748046 17013888 17250192 17368344 17609571 17635968 17644032 17880912 17889088 18003384 18011616 18253431 18289152 18543168 19140624 19229952 19406466 19539387 19849536 20116026 20125224 20263068 20435328 20444672 20575296 20584704 20861064 21192192 21337344 21533202 21633696 22330728 22640877 22685184 22989744 23000256 23157792 23468697 23479428 23514624 23841216 24004512 24015488 24337908 24724224 25122069 25520832 25875288 26052516 26466048 26821368 26833632 27005076 27017424 27247104 27392666 27433728 27814752 28710936 28844928 29109699 29774304 30187836 30394602 30652992 30667008 30862944 30877056 31291596 31305904 31788288 32006016 32450544 33496092 34027776 34500384 34736688 35219142 35271936 35761824 35778176 36006768 36023232 36506862 37086336 38281248 38459904 38812932 39078774 39699072 40232052 40250448 40526136 40870656 41088999 41150592 41169408 41722128 42674688 43066404 43267392 44661456 45281754 45591903 45979488 46000512 46315584 46937394 46958856 47682432 48009024 48030976 48675816 49448448 50244138 51041664 51750576 52105032 52828713 52932096 53642736 53667264 54010152 54034848 54760293 54785332 54867456 55629504 57421872 57689856 58219398 58618161 59548608 60375672 60789204 61305984 61334016 61725888 61754112 62583192 62611808 63576576 64012032 64901088 66992184 67922631 68055552 69000768 69473376 70406091 70438284 70543872 71523648 71556352 72013536 72046464 73013724 74172672 75366207 76562496 77625864 78157548 79398144 80464104 80500896 81052272 81741312 82177998 82301184 83444256 86132808 86534784 87329097 89322912 90563508 91183806 91958976 92001024 92631168 93874788 93917712 95364864 96018048 96061952 97351632 100488276 102083328 103501152 104210064 105657426 107285472 107334528 108020304 108069696 109520586 109570664 111259008 114843744 115379712 116438796 117236322 119097216 120751344 121578408 122611968 123266997 123451776 123508224 125166384 125223616 128024064 129802176 133984368 135845262 136775709 138001536 138946752 140812182 140876568 143047296 143112704 144027072 144092928 146027448 148345344 150732414 153124992 155251728 156315096 158486139 158796288 160928208 161001792 162104544 164280879 164355996 164602368 166888512 172265616 173069568 174658194 175854483 178645824 181127016 182367612 183917952 184002048 185262336 187749576 187835424 190729728 192036096 194703264 200976552 203767893 204166656 207002304 208420128 211314852 214570944 214669056 216040608 216139392 219041172 219141328 222518016 229687488 232877592 234472644 238194432 241502688 243156816 245223936 246533994 246903552 250332768 250447232 259604352 261987291 267968736 271690524 273551418 276003072 277893504 281624364 281753136 286094592 288054144 288185856 292054896 301464828 306249984 310503456 312630192 316972278 321856416 322003584 324209088 328561758 328711992 333777024 344531232 346139136 349316388 351708966 357291648 362254032 364735224 367835904 369800991 370524672 375499152 375670848 384072192 389406528 401953104 407535786 410327127 414004608 416840256 422629704 429141888 429338112 432081216 432278784 438082344 438282656 445036032 459374976 465755184 468945288 475458417 476388864 483005376 486313632 492842637 493067988 493807104 500665536 500894464 519208704 523974582 527563449 535937472 543381048 547102836 552006144 555787008 563248728 563506272 572189184 576108288 584109792 602929656 611303679 612499968 621006912 625260384 633944556 643712832 644007168 648418176 657123516 657423984 667554048 689062464 698632776 703417932 714583296 724508064 729470448 735671808 739601982 750998304 751341696 778813056 785961873 803906208 815071572 820654254 828009216 833680512 845259408 858283776 864162432 864557568 876164688 876565312 918749952 931510368 937890576 950916834 966010752 972627264 985685274 986135976 1001331072 1001788928 1038417408 1047949164 1055126898 1071874944 1086762096 1094205672 1109402973 1111574016 1126497456 1127012544 1152216576 1168219584 1205859312 1222607358 1230981381 1242013824 1250520768 1267889112 1287425664 1288014336 1296836352 1314247032 1314847968 1335108096 1378124928 1397265552 1406835864 1426375251 1429166592 1449016128 1458940896 1479203964 1501996608 1502683392 1557626112 1571923746 1607812416 1630143144 1641308508 1656018432 1667361024 1690518816 1716567552 1728324864 1752329376 1753130624 1833911037 1837499904 1863020736 1875781152 1901833668 1932021504 1945254528 1971370548 1972271952 2002662144 2095898328 2110253796 2143749888 2173524192 2188411344 2218805946 2252994912 2254025088 2336439168 2411718624 2445214716 2461962762 2484027648 2501041536 2535778224 2574851328 2593672704 2628494064 2629695936 2756249856 2794531104 2813671728 2852750502 2898032256 2917881792 2958407928 3003993216 3005366784 3115252224 3143847492 3215624832 3260286288 3282617016 3328208919 3334722048 3381037632 3456649728 3504658752 3506261248 3667822074 3692944143 3726041472 3751562304 3803667336 3864043008 3890509056 3942741096 3944543904 4005324288 4191796656 4220507592 4279125753 4287499776 4347048384 4376822688 4437611892 4505989824 4508050176 4672878336 4823437248 4890429432 4923925524 4968055296 5002083072 5071556448 5149702656 5256988128 5259391872 5501733111 5512499712 5589062208 5627343456 5705501004 5796064512 5835763584 5916815856 6007986432 6287694984 6431249664 6520572576 6565234032 6656417838 6762075264 7009317504 7012522496 7335644148 7385888286 7452082944 7503124608 7607334672 7781018112 7885482192 7889087808 8383593312 8441015184 8558251506 8694096768 8753645376 8875223784 9011979648 9016100352 9345756672 9646874496 9780858864 9847851048 9984626757 10004166144 10143112896 10513976256 10518783744 11003466222 11178124416 11254686912 11411002008 11592129024 11671527168 11833631712 12015972864 12575389968 12837377259 12862499328 13041145152 13130468064 13312835676 13524150528 14018635008 14671288296 14771776572 14904165888 15006249216 15214669344 15770964384 15778175616 16767186624 16882030368 17116503012 17388193536 17507290752 17750447568 18023959296 19293748992 19561717728 19695702096 19969253514 20286225792 21027952512 21037567488 22006932444 22356248832 22509373824 22822004016 23343054336 23667263424 25150779936 25674754518 26082290304 26260936128 26625671352 27048301056 28037270016 29342576592 29543553144 29953880271 30012498432 30429338688 31541928768 31556351232 33534373248 33764060736 34233006024 34776387072 35014581504 35500895136 36047918592 38512131777 38587497984 39123435456 39391404192 39938507028 40572451584 42055905024 44013864888 44712497664 45018747648 45644008032 47334526848 50301559872 51349509036 52164580608 52521872256 53251342704 58685153184 59087106288 59907760542 60858677376 63083857536 63112702464 67068746496 67528121472 68466012048 70029163008 71001790272 77024263554 78246870912 78782808384 79877014056 81144903168 84111810048 88027729776 89861640813 90037495296 91288016064 94669053696 100603119744 102699018072 104329161216 105043744512 106502685408 117370306368 118174212576 119815521084 121717354752 126167715072 134137492992 135056242944 136932024096 142003580544 154048527108 156493741824 157565616768 159754028112 176055459552 179723281626 182576032128 189338107392 201206239488 205398036144 210087489024 213005370816 234740612736 236348425152 239631042168 243434709504 252335430144 269584922439 270112485888 273864048192 284007161088 308097054216 312987483648 315131233536 319508056224 352110919104 359446563252 365152064256 402412478976 410796072288 426010741632 469481225472 472696850304 479262084336 539169844878 547728096384 568014322176 616194108432 630262467072 639016112448 704221838208 718893126504 730304128512 821592144576 852021483264 938962450944 945393700608 958524168672 1078339689756 1095456192768 1232388216864 1278032224896 1408443676416 1437786253008 1643184289152 1704042966528 1890787401216 1917048337344 2156679379512 2190912385536 2464776433728 2556064449792 2816887352832 2875572506016 3286368578304 3834096674688 4313358759024 4929552867456 5112128899584 5751145012032 6572737156608 7668193349376 8626717518048 9859105734912 11502290024064 15336386698752 17253435036096 19718211469824 23004580048128 34506870072192 46009160096256 69013740144384 138027480288768
- Sum of all divisors σ(n): 489917665881600
- Sum of proper divisors (its aliquot sum) s(n): 351890185592832
- 138027480288768 is an abundant number, because the sum of its proper divisors (351890185592832) is greater than itself. Its abundance is 213862705304064
Bases of 138027480288768
- Binary: 111110110001001000001101110111010001110000000002
- Hexadecimal: 0x7D8906EE8E00
- Base-36: 1CXCY60000
Squares and roots of 138027480288768
- 138027480288768 squared (1380274802887682) is 19051585314866238772666957824
- 138027480288768 cubed (1380274802887683) is 2629642316517481663072807105618495596920832
-
The
square root of 138027480288768 is 11748509.7050122917 -
The
cube root of 138027480288768 is 51679.9224528289
Scales and comparisons
How big is 138027480288768?- 138,027,480,288,768 seconds is equal to 4,388,846 years, 48 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,027,480,288,768 would take you about ten million, nine hundred seventy-two thousand, one hundred seventeen 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 138027480288768 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138027480288768
- 138027480288768 backwards is 867882084720831
- 138027480288768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138027480288768's digits is 72
- More coming soon!
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"Number 138027480288768 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138027480288768 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138027480288768/
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The information we have on file for 138027480288768 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!
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