138538403989440
138,538,403,989,440 is an even composite number composed of eight prime numbers multiplied together.
138538403989440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138538403989440:
26 × 3 × 5 × 7 × 132 × 127 × 751 × 1279
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 127 × 751 × 1279)See below for interesting mathematical facts about the number 138538403989440 from the Numbermatics database.
Names of 138538403989440
- Cardinal: 138538403989440 can be written as One hundred thirty-eight trillion, five hundred thirty-eight billion, four hundred three million, nine hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3853840398944 × 1014
Factors of 138538403989440
Divisors of 138538403989440
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 127 130 140 156 160 168 169 182 192 195 208 210 224 240 254 260 273 280 312 320 336 338 364 381 390 416 420 448 455 480 507 508 520 546 560 624 635 672 676 728 751 762 780 832 840 845 889 910 960 1014 1016 1040 1092 1120 1183 1248 1270 1279 1344 1352 1365 1456 1502 1524 1560 1651 1680 1690 1778 1820 1905 2028 2032 2080 2184 2240 2253 2366 2496 2535 2540 2558 2667 2704 2730 2912 3004 3048 3120 3302 3360 3380 3549 3556 3640 3755 3810 3837 4056 4064 4160 4368 4445 4506 4732 4953 5070 5080 5116 5257 5334 5408 5460 5824 5915 6008 6096 6240 6395 6604 6720 6760 7098 7112 7280 7510 7620 7674 8112 8128 8255 8736 8890 8953 9012 9464 9763 9906 10140 10160 10232 10514 10668 10816 10920 11265 11557 11830 12016 12192 12480 12790 13208 13335 13520 14196 14224 14560 15020 15240 15348 15771 16224 16510 16627 17472 17745 17780 17906 18024 18928 19185 19526 19812 20280 20320 20464 21028 21336 21463 21840 22530 23114 23660 24032 24384 24765 25580 26285 26416 26670 26859 27040 28392 28448 29120 29289 30040 30480 30696 31542 32448 33020 33254 34671 35490 35560 35812 36048 37856 38370 39052 39624 40560 40640 40928 42056 42672 42926 43680 44765 45060 46228 47320 48064 48815 49530 49881 51160 52570 52832 53340 53718 54080 56784 56896 57785 58578 60080 60960 61392 63084 64389 66040 66508 68341 69342 70980 71120 71624 72096 75712 76740 78104 78855 79248 81120 81856 83135 84112 85344 85852 87360 89530 90120 92456 94640 95377 97630 99060 99762 102320 105140 105664 106680 107315 107436 113568 115570 116389 117156 120160 121920 122784 126168 126919 128778 132080 133016 134295 136682 138684 141960 142240 143248 144192 146445 150241 153480 156208 157710 158496 162240 162433 166270 168224 170688 171704 173355 179060 180240 184912 189280 190754 195260 198120 199524 204640 205023 210280 213360 214630 214872 216151 227136 231140 232778 234312 240320 245568 249405 252336 253838 257556 264160 266032 268590 273364 277368 283920 284480 286131 286496 292890 300482 306960 312416 315420 316992 321945 324866 332540 336448 341705 343408 346710 349167 358120 360480 369824 378560 380757 381508 390520 396240 399048 409280 410046 420560 426720 429260 429744 432302 450723 462280 465556 468624 476885 487299 498810 504672 507676 515112 528320 532064 537180 546728 554736 567840 572262 572992 581945 585780 600964 613920 624832 630840 634595 643890 648453 649732 665080 667639 683410 686816 693420 698334 716240 720960 739648 751205 761514 763016 781040 792480 798096 812165 820092 841120 853440 858520 859488 864604 888433 901446 924560 931112 937248 953770 960529 974598 997620 1009344 1015352 1025115 1030224 1064128 1074360 1080755 1093456 1109472 1135680 1137031 1144524 1163890 1171560 1201928 1227840 1239901 1261680 1269190 1287780 1296906 1299464 1330160 1335278 1366820 1373632 1386840 1396668 1430655 1432480 1502410 1513057 1523028 1526032 1562080 1584960 1596192 1624330 1640184 1682240 1717040 1718976 1729208 1745835 1776866 1802892 1849120 1862224 1874496 1903785 1907540 1921058 1949196 1995240 2002917 2030704 2050230 2060448 2111629 2148720 2161510 2186912 2218944 2253615 2274062 2289048 2327780 2343120 2403856 2436495 2479802 2523360 2538380 2575560 2593812 2598928 2660320 2665299 2670556 2733640 2773680 2793336 2861310 2864960 2881587 3004820 3026114 3046056 3052064 3124160 3192384 3242265 3248660 3280368 3338195 3411093 3434080 3458416 3491670 3553732 3605784 3698240 3719703 3724448 3807570 3815080 3842116 3898392 3990480 4005834 4061408 4100460 4120896 4223258 4297440 4323020 4373824 4442165 4507230 4539171 4548124 4578096 4655560 4686240 4802645 4807712 4872990 4959604 5046720 5076760 5151120 5187624 5197856 5320640 5330598 5341112 5467280 5547360 5586672 5685155 5722620 5763174 6009640 6052228 6092112 6104128 6199505 6334887 6484530 6497320 6560736 6676390 6723703 6822186 6868160 6916832 6983340 7107464 7211568 7439406 7448896 7565285 7615140 7630160 7684232 7796784 7980960 8011668 8122816 8200920 8446516 8594880 8646040 8679307 8884330 9014460 9078342 9096248 9156192 9311120 9372480 9605290 9615424 9745980 9919208 10014585 10153520 10302240 10375248 10395712 10558145 10661196 10682224 10934560 11094720 11173344 11370310 11445240 11526348 12019280 12104456 12184224 12399010 12486877 12669774 12969060 12994640 13121472 13326495 13352780 13447406 13644372 13833664 13966680 14214928 14407935 14423136 14781403 14878812 15130570 15230280 15260320 15368464 15593568 15961920 16023336 16118713 16401840 16893032 17055465 17292080 17358614 17768660 18028920 18156684 18192496 18312384 18598515 18622240 19210580 19491960 19838416 20029170 20171109 20307040 20604480 20750496 21116290 21322392 21364448 21869120 22346688 22695855 22740620 22890480 23052696 24038560 24208912 24368448 24798020 24973754 25339548 25938120 25989280 26037921 26652990 26705560 26894812 27288744 27451177 27933360 28429856 28815870 28846272 29562806 29757624 30261140 30460560 30520640 30736928 31187136 31674435 32046672 32237426 32803680 33618515 33786064 34110930 34584160 34717228 35537320 36057840 36313368 36384992 37197030 37244480 37460631 38421160 38983920 39676832 40058340 40342218 40614080 41500992 42232580 42644784 42728896 43396535 44344209 45391710 45481240 45780960 46105392 48077120 48356139 48417824 49596040 49947508 50679096 51876240 51978560 52075842 53305980 53411120 53789624 54577488 54902354 55866720 56859712 57631740 59125612 59515248 60522280 60921120 61473856 62434385 63348870 64093344 64474852 65607360 67237030 67572128 68221860 69168320 69434456 71074640 72115680 72626736 72769984 73907015 74394060 74921262 76842320 77967840 79353664 80116680 80593565 80684436 82353531 84465160 85289568 86793070 87408139 88688418 90783420 90962480 91561920 92210784 96712278 96835648 99192080 99895016 100855545 101358192 103752480 104151684 106611960 106822240 107579248 109154976 109804708 111733440 112830991 115263480 118251224 119030496 121044560 121842240 121987183 124868770 126697740 128186688 128949704 130189605 134474060 135144256 136443720 137255885 138868912 142149280 144231360 145253472 147814030 148788120 149842524 153684640 155935680 160233360 161187130 161368872 162329401 164707062 168930320 170579136 173586140 174816278 177376836 181566840 181924960 184421568 187303155 192158239 193424556 198384160 199790032 201711090 202716384 207504960 208303368 213223920 213644480 215158496 218309952 219609416 221721045 225661982 230526960 236502448 238060992 241780695 242089120 243974366 249737540 253395480 257899408 260379210 262224417 268948120 272887440 274511770 277737824 284298560 290506944 295628060 297576240 299685048 307369280 320466720 322374260 322737744 324658802 329414124 337860640 338492973 347172280 349632556 354753672 363133680 363849920 365961549 374606310 384316478 386849112 396768320 399580064 403422180 405432768 411767655 416606736 426447840 430316992 437040695 439218832 443442090 451323964 461053920 473004896 483561390 484178240 486988203 487948732 499475080 506790960 515798816 520758420 524448834 537896240 545774880 549023540 555475648 564154955 576474717 591256120 595152480 599370096 609935915 640933440 644748520 645475488 649317604 658828248 675721280 676985946 694344560 699265112 709507344 726267360 731923098 749212620 768632956 773698224 799160128 806844360 811647005 823535310 833213472 852895680 853910281 874081390 878437664 886884180 902647928 922107840 946009792 960791195 967122780 973976406 975897464 998950160 1013581920 1031597632 1041516840 1048897668 1075792480 1091549760 1098047080 1128309910 1136305807 1152949434 1182512240 1190304960 1198740192 1219871830 1289497040 1290950976 1298635208 1311122085 1317656496 1353971892 1388689120 1398530224 1419014688 1452534720 1463846196 1498425240 1537265912 1547396448 1585833379 1613688720 1623294010 1647070620 1666426944 1692464865 1707820562 1748162780 1756875328 1773768360 1805295856 1829807745 1921582390 1934245560 1947952812 1951794928 1997900320 2027163840 2083033680 2097795336 2151584960 2196094160 2256619820 2272611614 2305898868 2365024480 2397480384 2434941015 2439743660 2561730843 2578994080 2597270416 2622244170 2635312992 2707943784 2777378240 2797060448 2838029376 2882373585 2927692392 2996850480 3074531824 3094792896 3171666758 3227377440 3246588020 3294141240 3384929730 3408917421 3415641124 3496325560 3547536720 3610591712 3659615490 3843164780 3868491120 3895905624 3903589856 3995800640 4166067360 4195590672 4269551405 4392188320 4513239640 4545223228 4611797736 4730048960 4757500137 4869882030 4879487320 5123461686 5157988160 5194540832 5244488340 5270625984 5415887568 5594120896 5681529035 5764747170 5855384784 5993700960 6149063648 6343333516 6454754880 6493176040 6588282480 6769859460 6817834842 6831282248 6992651120 7095073440 7221183424 7319230980 7686329560 7736982240 7791811248 7807179712 7929166895 8332134720 8391181344 8539102810 8784376640 9026479280 9090446456 9223595472 9515000274 9739764060 9758974640 10246923372 10389081664 10488976680 10831775136 11100833653 11363058070 11529494340 11710769568 11987401920 12298127296 12686667032 12808654215 12986352080 13176564960 13539718920 13635669684 13662564496 13985302240 14190146880 14638461960 15372659120 15473964480 15583622496 15858333790 16782362688 17044587105 17078205620 18052958560 18180892912 18447190944 19030000548 19479528120 19517949280 20493846744 20615833927 20977953360 21663550272 22201667306 22726116140 23058988680 23421539136 23787500685 25373334064 25617308430 25972704160 26353129920 27079437840 27271339368 27325128992 27970604480 29276923920 30745318240 31167244992 31716667580 33302500959 34089174210 34156411240 36105917120 36361785824 36894381888 38060001096 38959056240 39035898560 40987693488 41231667854 41955906720 44403334612 45452232280 46117977360 47575001370 50746668128 51234616860 51945408320 54158875680 54542678736 54650257984 55504168265 58553847840 61490636480 61847501781 63433335160 66605001918 68178348420 68312822480 72723571648 76120002192 77918112480 81975386976 82463335708 83911813440 88806669224 90904464560 92235954720 95150002740 101493336256 102469233720 103079169635 108317751360 109085357472 111008336530 117107695680 123695003562 126866670320 133210003836 136356696840 136625644960 144310837489 152240004384 155836224960 163950773952 164926671416 166512504795 177613338448 181808929120 184471909440 190300005480 204938467440 206158339270 218170714944 222016673060 247390007124 253733340640 266420007672 272713393680 273251289920 288621674978 304480008768 309237508905 329853342832 333025009590 355226676896 363617858240 380600010960 409876934880 412316678540 432932512467 444033346120 494780014248 507466681280 532840015344 545426787360 577243349956 618475017810 659706685664 666050019180 710453353792 721554187445 761200021920 819753869760 824633357080 865865024934 888066692240 989560028496 1065680030688 1090853574720 1154486699912 1236950035620 1319413371328 1332100038360 1443108374890 1522400043840 1649266714160 1731730049868 1776133384480 1979120056992 2131360061376 2164662562335 2308973399824 2473900071240 2664200076720 2886216749780 3298533428320 3463460099736 3552266768960 3958240113984 4329325124670 4617946799648 4947800142480 5328400153440 5772433499560 6597066856640 6926920199472 8658650249340 9235893599296 9895600284960 10656800306880 11544866999120 13853840398944 17317300498680 19791200569920 23089733998240 27707680797888 34634600997360 46179467996480 69269201994720 138538403989440
- Sum of all divisors σ(n): 549786180648960
- Sum of proper divisors (its aliquot sum) s(n): 411247776659520
- 138538403989440 is an abundant number, because the sum of its proper divisors (411247776659520) is greater than itself. Its abundance is 272709372670080
Bases of 138538403989440
- Binary: 111110111111111111111000101101110000111110000002
- Hexadecimal: 0x7DFFFC5B87C0
- Base-36: 1D3VNWS2IO
Squares and roots of 138538403989440
- 138538403989440 squared (1385384039894402) is 19192889379941284907631513600
- 138538403989440 cubed (1385384039894403) is 2658952262642938312960377345623705616384000
-
The
square root of 138538403989440 is 11770233.8120124019 -
The
cube root of 138538403989440 is 51743.6102158365
Scales and comparisons
How big is 138538403989440?- 138,538,403,989,440 seconds is equal to 4,405,092 years, 37 weeks, 2 days, 21 hours, 4 minutes.
-
To count from 1 to 138,538,403,989,440 would take you about eleven million, twelve thousand, seven hundred thirty-one 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 138538403989440 cubic inches would be around 4312 feet tall.
Recreational maths with 138538403989440
- 138538403989440 backwards is 044989304835831
- The number of decimal digits it has is: 15
- The sum of 138538403989440's digits is 69
- More coming soon!
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"Number 138538403989440 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138538403989440 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138538403989440/
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The information we have on file for 138538403989440 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 138538403989440, math, Factors of 138538403989440, curriculum, school, college, exams, university, Prime factorization of 138538403989440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-eight billion, four hundred three million, nine hundred eighty-nine thousand, four hundred forty.