138993634304928
138,993,634,304,928 is an even composite number composed of six prime numbers multiplied together.
138993634304928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138993634304928:
25 × 34 × 13 × 17 × 372 × 4212
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 17 × 37 × 37 × 421 × 421)See below for interesting mathematical facts about the number 138993634304928 from the Numbermatics database.
Names of 138993634304928
- Cardinal: 138993634304928 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, six hundred thirty-four million, three hundred four thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38993634304928 × 1014
Factors of 138993634304928
Divisors of 138993634304928
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 37 39 48 51 52 54 68 72 74 78 81 96 102 104 108 111 117 136 144 148 153 156 162 204 208 216 221 222 234 272 288 296 306 312 324 333 351 408 416 421 432 442 444 459 468 481 544 592 612 624 629 648 663 666 702 816 842 864 884 888 918 936 962 999 1053 1184 1224 1248 1258 1263 1296 1326 1332 1369 1377 1404 1443 1632 1684 1768 1776 1836 1872 1887 1924 1989 1998 2106 2448 2516 2526 2592 2652 2664 2738 2754 2808 2886 2997 3368 3536 3552 3672 3744 3774 3789 3848 3978 3996 4107 4212 4329 4896 5032 5052 5304 5328 5473 5476 5508 5616 5661 5772 5967 5994 6736 7072 7157 7344 7548 7578 7696 7956 7992 8177 8214 8424 8658 10064 10104 10608 10656 10946 10952 11016 11232 11322 11367 11544 11934 11988 12321 12987 13472 14314 14688 15096 15156 15392 15577 15912 15984 16354 16419 16428 16848 16983 17316 17797 17901 20128 20208 21216 21471 21892 21904 22032 22644 22734 23088 23273 23868 23976 24531 24642 25974 28628 30192 30312 31154 31824 31968 32708 32838 32856 33696 33966 34101 34632 35594 35802 36963 38961 40416 42942 43784 43808 44064 45288 45468 46176 46546 46731 47736 47952 49062 49257 49284 50949 51948 53391 57256 60384 60624 62308 63648 64413 65416 65676 65712 67932 68202 69264 69819 71188 71604 73593 73926 77922 85884 87568 90576 90936 93041 93092 93462 95472 95904 98124 98514 98568 101898 103896 106782 110889 114512 121248 124616 128826 130832 131352 131424 135864 136404 138528 139638 140193 142376 143208 147186 147771 147852 155844 160173 171768 175136 177241 181152 181872 186082 186184 186924 190944 193239 196248 197028 197136 202501 203796 207792 209457 213564 220779 221778 229024 249232 257652 261664 262704 264809 271728 272808 279123 279276 280386 284752 286416 294372 295542 295704 302549 311688 320346 343536 354482 363744 372164 372368 373848 386478 392496 394056 394272 405002 407592 415584 418914 420579 427128 441558 443313 443556 480519 498464 515304 525408 529618 531723 543456 545616 558246 558552 560772 569504 572832 576349 579717 588744 591084 591408 605098 607503 623376 628371 640692 662337 687072 708964 744328 744736 747696 772956 784992 788112 794427 810004 815184 837369 837828 841158 854256 883116 886626 887112 907647 961038 1030608 1059236 1063446 1091232 1116492 1117104 1121544 1152698 1159434 1177488 1182168 1182816 1210196 1215006 1246752 1256742 1261737 1281384 1324674 1417928 1441557 1488656 1495392 1545912 1576224 1588854 1595169 1620008 1630368 1674738 1675656 1682316 1708512 1729047 1766232 1773252 1774224 1815294 1822509 1885113 1922076 2061216 2118472 2126892 2232984 2234208 2243088 2304133 2305396 2318868 2354976 2364336 2383281 2420392 2430012 2512107 2513484 2523474 2562768 2649348 2722941 2835856 2883114 2977312 3013097 3091824 3177708 3190338 3240016 3349476 3351312 3364632 3442517 3458094 3532464 3546504 3548448 3630588 3645018 3770226 3844152 4236944 4253784 4465968 4486176 4608266 4610792 4637736 4728672 4766562 4785507 4840784 4860024 5024214 5026968 5046948 5125536 5187141 5298696 5445882 5467527 5671712 5766228 6026194 6183648 6355416 6380676 6480032 6557917 6698952 6702624 6729264 6885034 6912399 6916188 7064928 7093008 7149843 7261176 7290036 7492537 7536321 7540452 7688304 8168823 8473888 8507568 8931936 9039291 9216532 9221584 9275472 9533124 9571014 9681568 9720048 9797933 10048428 10053936 10093896 10327551 10374282 10597392 10891764 10935054 11532456 12052388 12710832 12761352 13115834 13397904 13458528 13770068 13824798 13832376 14186016 14299686 14356521 14522352 14580072 14985074 15072642 15080904 15376608 15561423 16337646 16402581 17015136 18078582 18433064 18443168 18550944 19066248 19142028 19440096 19595866 19673751 20096856 20107872 20187792 20655102 20737197 20748564 21194784 21449529 21783528 21870108 22477611 23064912 24104776 24506469 25421664 25522704 26231668 26795808 27117873 27540136 27649596 27664752 28599372 28713042 29044704 29160144 29393799 29970148 30145284 30161808 30982653 31122846 32675292 32805162 36157164 36866128 38132496 38284056 39170261 39191732 39347502 40193712 40375584 41310204 41474394 41497128 42899058 43567056 43740216 44955222 46129824 46684269 48209552 49012938 51045408 52463336 54235746 55080272 55299192 55329504 57198744 57426084 58320288 58787598 59021253 59940296 60290568 60323616 61965306 62211591 62245692 65350584 65610324 67432833 72314328 73732256 76264992 76568112 78340522 78383464 78695004 80387424 81353619 82620408 82948788 82994256 85252921 85798116 87134112 87480432 88181397 89910444 92947959 93368538 96419104 98025876 104926672 108471492 110160544 110598384 111484589 114397488 114852168 117510783 117575196 118042506 119880592 120581136 123930612 124423182 124491384 127373129 130701168 131220648 134865666 144628656 153136224 156681044 156766928 157390008 162707238 165240816 165897576 165988512 170505842 171596232 174960864 176362794 177063759 179820888 185895918 186634773 186737076 196051752 202298499 209853344 216942984 221196768 222969178 228794976 229704336 235021566 235150392 236085012 239761184 241162272 242642929 244060857 247861224 248846364 248982768 254746258 255758763 261402336 262441296 264544191 269731332 278843877 289257312 313362088 313533856 314780016 325414476 330481632 331795152 334453767 341011684 343192464 352532349 352725588 354127518 359641776 371791836 373269546 373474152 382119387 392103504 404596998 433885968 445938356 459408672 470043132 470300784 472170024 485285858 488121714 495722448 497692728 497965536 509492516 511517526 524882592 529088382 531191277 539462664 557687754 606895497 626724176 629560032 650828952 663590304 668907534 682023368 686384928 705064698 705451176 708255036 719283552 727928787 743583672 746539092 746948304 764238774 767276289 784207008 793632573 809193996 867771936 891876712 940086264 940601568 944340048 970571716 976243428 991444896 995385456 1003361301 1018985032 1023035052 1057597047 1058176764 1062382554 1078925328 1115375508 1146358161 1213790994 1253448352 1301657904 1337815068 1364046736 1410129396 1410902352 1416510072 1449299657 1455857574 1487167344 1493078184 1493896608 1528477548 1534552578 1587265146 1618387992 1783753424 1880172528 1888680096 1941143432 1952486856 1990770912 2006722602 2037970064 2046070104 2115194094 2116353528 2124765108 2157850656 2183786361 2230751016 2292716322 2301828867 2427581988 2603315808 2675630136 2728093472 2820258792 2821804704 2833020144 2898599314 2911715148 2974334688 2986156368 3010083903 3056955096 3069105156 3154358077 3172791141 3174530292 3236775984 3439074483 3567506848 3760345056 3882286864 3904973712 4013445204 4075940128 4092140208 4124929793 4230388188 4232707056 4249530216 4347898971 4367572722 4461502032 4585432644 4603657734 4855163976 5351260272 5640517584 5666040288 5797198628 5823430296 5972312736 6020167806 6113910192 6138210312 6308716154 6345582282 6349060584 6473551968 6551359083 6878148966 6905486601 7764573728 7809947424 8026890408 8184280416 8249859586 8460776376 8465414112 8499060432 8695797942 8735145444 8923004064 9030251709 9170865288 9207315468 9463074231 9710327952 10317223449 10702520544 11281035168 11594397256 11646860592 12040335612 12227820384 12276420624 12374789379 12617432308 12691164564 12698121168 13043696913 13102718166 13756297932 13810973202 16053780816 16499719172 16921552752 16998120864 17391595884 17470290888 18060503418 18341730576 18414630936 18926148462 19420655904 19654077249 20634446898 23188794512 23293721184 24080671224 24552841248 24749578758 25234864616 25382329128 25396242336 26087393826 26205436332 27512595864 27621946404 28389222693 32107561632 32999438344 33843105504 34783191768 34940581776 36121006836 36683461152 36829261872 37124368137 37852296924 39131090739 39308154498 41268893796 46377589024 48161342448 49499157516 50469729232 50764658256 52174787652 52410872664 53624087309 55025191728 55243892808 56778445386 65998876688 69566383536 69881163552 72242013672 73658523744 74248736274 75704593848 78262181478 78616308996 82537787592 85167668079 96322684896 98998315032 100939458464 101529316512 104349575304 104821745328 107248174618 110050383456 110487785616 111373104411 113556890772 117393272217 131997753376 139132767072 144484027344 148497472548 151409187696 156524362956 157232617992 160872261927 165075575184 170335336158 197996630064 208699150608 209643490656 214496349236 220975571232 222746208822 227113781544 234786544434 255503004237 288968054688 296994945096 302818375392 313048725912 314465235984 321744523854 330151150368 334119313233 340670672316 395993260128 417398301216 428992698472 445492417644 454227563088 469573088868 482616785781 511006008474 593989890192 626097451824 628930471968 643489047708 668238626466 681341344632 857985396944 890984835288 908455126176 939146177736 965233571562 1022012016948 1187979780384 1252194903648 1286978095416 1336477252932 1362682689264 1447850357343 1715970793888 1781969670576 1878292355472 1930467143124 2044024033896 2573956190832 2672954505864 2725365378528 2895700714686 3563939341152 3756584710944 3860934286248 4088048067792 4343551072029 5147912381664 5345909011728 5791401429372 7721868572496 8176096135584 8687102144058 10691818023456 11582802858744 15443737144992 17374204288116 23165605717488 34748408576232 46331211434976 69496817152464 138993634304928
- Sum of all divisors σ(n): 480194906673636
- Sum of proper divisors (its aliquot sum) s(n): 341201272368708
- 138993634304928 is an abundant number, because the sum of its proper divisors (341201272368708) is greater than itself. Its abundance is 202207638063780
Bases of 138993634304928
- Binary: 111111001101001111110100011001011100011101000002
- Hexadecimal: 0x7E69FA32E3A0
- Base-36: 1D9OSL5M00
Squares and roots of 138993634304928
- 138993634304928 squared (1389936343049282) is 19319230377292057749685085184
- 138993634304928 cubed (1389936343049283) is 2685250042113988466453504930819692310986752
-
The
square root of 138993634304928 is 11789556.1538561747 -
The
cube root of 138993634304928 is 51800.2238956309
Scales and comparisons
How big is 138993634304928?- 138,993,634,304,928 seconds is equal to 4,419,567 years, 33 weeks, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,993,634,304,928 would take you about eleven million, forty-eight thousand, nine hundred nineteen 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 138993634304928 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993634304928
- 138993634304928 backwards is 829403436399831
- 138993634304928 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138993634304928's digits is 72
- More coming soon!
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The information we have on file for 138993634304928 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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