138403162881984
138,403,162,881,984 is an even composite number composed of nine prime numbers multiplied together.
138403162881984 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138403162881984:
26 × 3 × 7 × 11 × 13 × 113 × 137 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 113 × 137 × 181 × 257)See below for interesting mathematical facts about the number 138403162881984 from the Numbermatics database.
Names of 138403162881984
- Cardinal: 138403162881984 can be written as One hundred thirty-eight trillion, four hundred three billion, one hundred sixty-two million, eight hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38403162881984 × 1014
Factors of 138403162881984
Divisors of 138403162881984
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 113 132 137 143 154 156 168 176 181 182 192 208 224 226 231 257 264 273 274 286 308 312 336 339 352 362 364 411 416 429 448 452 462 514 528 543 546 548 572 616 624 672 678 704 724 728 771 791 822 832 858 904 924 959 1001 1028 1056 1086 1092 1096 1144 1232 1243 1248 1267 1344 1356 1448 1456 1469 1507 1542 1582 1644 1716 1781 1799 1808 1848 1918 1991 2002 2056 2112 2172 2184 2192 2288 2353 2373 2464 2486 2496 2534 2712 2827 2877 2896 2912 2938 3003 3014 3084 3164 3288 3341 3432 3562 3598 3616 3696 3729 3801 3836 3982 4004 4112 4344 4368 4384 4407 4521 4576 4706 4746 4928 4972 5068 5343 5397 5424 5654 5754 5792 5824 5876 5973 6006 6028 6168 6328 6576 6682 6864 7059 7124 7196 7232 7392 7458 7602 7672 7964 8008 8224 8481 8688 8701 8736 8768 8814 9042 9152 9412 9492 9944 10023 10136 10283 10549 10686 10794 10848 11308 11508 11584 11752 11946 12012 12056 12336 12467 12656 13152 13364 13728 13937 14118 14248 14392 14784 14916 15204 15344 15481 15928 16016 16159 16448 16471 16962 17376 17402 17472 17628 18084 18824 18984 19591 19789 19888 20046 20272 20453 20566 21098 21372 21588 21696 22616 23016 23387 23504 23892 24024 24112 24672 24797 24934 25312 25883 26103 26304 26728 27456 27874 28236 28496 28784 29041 29832 30408 30688 30849 30962 31647 31856 32032 32318 32942 33924 34752 34804 35209 35256 36168 36751 37401 37648 37968 39182 39578 39776 40092 40544 40906 41132 41811 42196 42744 43176 45232 46032 46443 46517 46774 47008 47784 48048 48224 48477 49344 49413 49594 49868 50624 51766 52206 53456 55748 56472 56992 57568 58082 58773 59367 59664 60816 61359 61376 61698 61924 63294 63712 64064 64636 65884 67848 69608 70161 70418 70512 72336 73502 74391 74802 75296 75936 77649 78364 79156 79552 80184 81088 81812 82264 83622 84392 85488 86352 87123 90464 92064 92886 93034 93548 94016 95568 96096 96448 96954 98826 99188 99736 103532 104412 105627 106912 108367 110253 111496 112944 113113 113984 115136 116164 117546 118734 119328 121632 122718 123396 123848 126588 127424 129272 131768 135696 137137 139216 139551 140322 140836 141024 143171 144672 147004 148782 149604 150592 151872 155298 156728 158312 160368 163624 164528 167244 168784 170291 170976 172704 173579 174246 180928 181181 184128 185772 186068 187096 191136 192192 193908 197652 198376 199472 201253 203287 207064 208824 211254 213824 216734 220506 222992 224983 225888 226226 232328 235092 237468 238656 243264 245436 246463 246792 247696 253176 257257 258544 263536 265889 271392 272767 274274 278432 279102 280644 281672 282048 286342 289344 294008 297564 299208 310596 313456 316624 319451 320736 322361 325101 325619 327248 329056 334488 337568 339339 340582 341952 345408 347158 348492 362362 371544 372136 374192 377533 382272 387299 387816 395304 396752 398944 402506 406574 411411 414128 417648 422508 429513 433468 441012 445984 449966 451776 452452 457717 464656 470184 474936 490872 492926 493584 495392 506352 510873 511687 514514 517088 520737 527072 531778 542784 543543 545534 548548 556864 558204 561288 563344 572684 588016 595128 598416 603759 604721 609861 621192 626912 633248 638902 641472 644722 650202 651238 654496 658112 668976 674949 675136 678678 681164 694316 696984 724724 739389 743088 744272 748384 755066 771771 774598 775632 790608 793504 797667 797888 805012 813148 818301 822822 828256 835296 845016 859026 866936 882024 891968 899932 904904 915434 929312 940368 949872 958353 967083 976857 981744 985852 987168 990784 1012704 1021746 1023374 1029028 1034176 1041474 1054144 1063556 1087086 1091068 1097096 1116408 1122576 1126688 1132599 1145368 1161897 1176032 1190256 1192037 1196832 1207518 1209442 1219722 1242384 1253824 1266496 1277804 1289444 1300404 1302476 1308992 1337952 1349898 1357356 1362328 1373151 1388632 1393968 1408771 1449448 1478778 1486176 1488544 1496768 1510132 1535061 1543542 1549196 1551264 1574881 1581216 1587008 1595334 1610024 1626296 1636602 1645644 1656512 1670592 1690032 1718052 1733872 1764048 1799864 1809808 1814163 1830868 1858624 1861223 1880736 1899744 1909369 1916706 1934166 1953714 1963488 1971704 1974336 2025408 2043492 2046748 2058056 2082948 2127112 2174172 2182136 2194192 2213783 2232816 2236157 2245152 2253376 2256527 2265198 2290736 2323794 2352064 2380512 2384074 2393664 2415036 2418884 2439444 2484768 2555608 2578888 2600808 2604952 2642731 2675904 2699796 2711093 2714712 2724656 2746302 2777264 2787936 2802061 2817542 2898896 2924779 2957556 2972352 2977088 3020264 3070122 3087084 3098392 3102528 3149762 3162432 3190668 3204019 3220048 3252592 3273204 3291288 3380064 3436104 3467744 3528096 3545971 3576111 3581809 3599728 3619616 3628326 3661736 3722446 3761472 3799488 3818738 3833412 3868332 3907428 3926976 3943408 3978617 4086984 4093496 4116112 4152863 4165896 4226313 4233047 4254224 4348344 4364272 4388384 4427566 4465632 4472314 4490304 4513054 4530396 4581472 4647588 4724643 4761024 4768148 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32695872 32747968 33222904 33327168 33624732 33810504 33864376 34786752 35097348 35244209 35420528 35778512 36104432 36243168 36426793 36794947 37180704 37797144 38145184 38236974 38448228 38640576 38702144 39031104 39228854 39911586 40279096 40946906 42051368 42283696 42551652 42981708 43196736 43377488 43764787 43940832 44609803 44669352 44832976 45080672 45824856 46489443 46563517 46796464 47320896 47743404 49121952 49393344 49643594 49834356 50396192 50796564 50982632 51050688 51264304 51722021 52371264 53130792 53215448 53667768 54156648 55700638 56735536 57217776 57308944 57820631 58053216 58140082 58843281 59559136 60418644 61099808 61334592 61420359 61645342 61893312 61985924 62518848 63077052 63425544 63657872 65066232 66445808 67249464 67621008 67728752 68333473 70101119 70194696 70488418 70841056 71557024 72208864 72486336 72853586 73589894 74361408 74465391 75594288 76290368 76473948 76896456 78457708 79823172 80558192 81893812 82846777 83550957 84102736 84567392 85103304 85963416 86754976 87210123 87529574 87881664 89219606 89338704 89665952 90161344 91649712 92468013 92978886 93127034 93592928 95486808 98243904 99287188 99668712 100792384 101593128 101965264 102528608 103444042 105732627 106261584 106430896 107335536 108313296 109280379 110384841 111401276 113471072 114435552 114617888 115641262 116106432 116280164 117686562 119118272 120837288 122199616 122840718 123290684 123971848 126154104 126851088 127315744 130132464 131294361 132891616 133829409 134498928 135242016 135457504 136666946 139690551 140202238 140389392 140976836 141682112 143114048 144417728 145707172 147179788 148930782 151188576 152947896 153792912 155166063 156915416 159646344 161116384 163787624 165693554 167101914 168205472 169134784 170206608 171926832 173461893 173509952 174420246 175059148 178439212 178677408 179331904 183299424 184936026 185957772 186254068 187185856 190973616 198574376 199337424 203186256 203930528 205000419 205057216 206888084 210303357 211465254 212523168 212861792 214671072 215758697 216626592 218560758 220769682 222802552 226942144 228871104 229235776 231282524 232560328 235373124 241674576 245681436 246581368 247943696 248540331 252308208 253702176 254631488 254987551 260264928 262588722 265783232 267658818 268997856 270484032 270915008 273333892 279381102 280404476 280778784 281953672 291414344 294359576 297861564 302377152 305895792 306353509 307585824 310332126 313830832 319292688 322232768 327575248 331387108 334203828 336410944 340413216 343853664 346923786 348840492 350118296 356878424 357354816 362054147 366598848 369872052 371915544 372508136 381947232 397148752 398674848 400694723 404744417 406372512 407861056 410000838 413776168 420606714 422930508 425046336 425723584 429342144 431517394 433253184 437121516 441539364 445605104 462565048 465120656 470746248 478334311 483349152 490707833 491362872 493162736 495887392 497080662 504616416 507404352 509975102 520529856 525177444 535317636 537995712 546667784 558762204 560808952 561557568 563907344 568942231 579927439 582828688 588719152 595723128 611791584 612707018 615171648 620664252 627661664 638585376 647276091 655150496 662774216 668407656 680826432 687707328 693847572 697680984 700236592 713756848 720129677 724108294 739744104 743831088 745016272 751668203 763894464 764962653 794297504 797349696 801389446 809488834 812745024 820001676 827552336 841213428 845861016 863034788 874243032 883078728 891210208 911314547 919060527 925130096 930241312 941492496 956668622 966698304 981415666 982725744 986325472 991774784 994161324 1009232832 1019950204 1050354888 1070635272 1086162441 1093335568 1117524408 1121617904 1127814688 1137884462 1159854878 1165657376 1177438304 1191446256 1202084169 1214233251 1223583168 1225414036 1241328504 1255323328 1277170752 1294552182 1310300992 1325548432 1336815312 1387695144 1395361968 1400473184 1427513696 1435002933 1440259354 1448216588 1472123499 1479488208 1487662176 1490032544 1503336406 1529925306 1588595008 1602778892 1618977668 1640003352 1655104672 1682426856 1691722032 1706826693 1726069576 1739782317 1748486064 1766157456 1782420416 1822629094 1838121054 1850260192 1860482624 1882984992 1913337244 1962831332 1965451488 1972650944 1988322648 2039900408 2100709776 2141270544 2160389031 2172324882 2186671136 2235048816 2243235808 2255004609 2255629376 2275768924 2319709756 2331314752 2354876608 2382892512 2404168338 2428466502 2450828072 2482657008 2589104364 2651096864 2673630624 2733943641 2775390288 2790723936 2800946368 2804863061 2855027392 2870005866 2880518708 2896433176 2944246998 2958976416 2975324352 2980065088 3006672812 3059850612 3205557784 3237955336 3280006704 3310209344 3364853712 3383444064 3413653386 3452139152 3479564634 3496972128 3532314912 3645258188 3676242108 3700520384 3765969984 3826674488 3925662664 3930902976 3976645296 3982595617 4079800816 4201419552 4282541088 4320778062 4344649764 4373342272 4470097632 4486471616 4510009218 4551537848 4639419512 4765785024 4808336676 4856933004 4901656144 4965314016 5040907739 5178208728 5261677421 5302193728 5347261248 5467887282 5550780576 5581447872 5609726122 5740011732 5761037416 5792866352 5888493996 5917952832 6013345624 6119701224 6379201829 6411115568 6475910672 6560013408 6729707424 6766888128 6827306772 6904278304 6959129268 6993944256 7064629824 7290516376 7352484216 7653348976 7851325328 7921426447 7953290592 7965191234 8159601632 8402839104 8414589183 8565082176 8641556124 8689299528 8940195264 9020018436 9103075696 9278839024 9361685801 9616673352 9713866008 9803312288 9930628032 10081815478 10356417456 10523354842 10935774564 11101561152 11219452244 11480023464 11522074832 11585732704 11776987992 11947786851 12026691248 12239402448 12758403658 12822231136 12951821344 13120026816 13459414848 13654613544 13808556608 13918258536 14581032752 14704968432 15122723217 15306697952 15702650656 15785032263 15842852894 15906581184 15930382468 16319203264 16829178366 17283112248 17378599056 18040036872 18206151392 18557678048 18723371602 19137605487 19233346704 19427732016 19606624576 20163630956 20712834912 21046709684 21871549128 22438904488 22960046928 23044149664 23171465408 23553975984 23764279341 23895573702 24053382496 24478804896 25516807316 25644462272 25903642688 27309227088 27836517072 28085057403 29162065504 29409936864 30245446434 30613395904 31405301312 31570064526 31685705788 31860764936 33658356732 34566224496 34757198112 36080073744 36412302784 37115356096 37446743204 38275210974 38466693408 38855464032 40327261912 41425669824 42093419368 43743098256 44877808976 45920093856 46088299328 47107951968 47528558682 47791147404 48106764992 48957609792 51033614632 54618454176 55449985129 55673034144 56170114806 58324131008 58819873728 60490892868 63140129052 63371411576 63721529872 65531800607 67316713464 69132448992 69514396224 72160147488 74893486408 76550421948 76933386816 77710928064 80654523824 84186838736 87486196512 89755617952 91840187712 94215903936 95057117364 95582294808 102067229264 102978543811 109236908352 110899970258 111346068288 112340229612 120981785736 126280258104 126742823152 127443059744 131063601214 134633426928 138264897984 144320294976 149786972816 153100843896 161309047648 166349955387 168373677472 174972393024 179511235904 190114234728 191164589616 196595401821 204134458528 205957087622 221799940516 224680459224 241963571472 252560516208 253485646304 254886119488 262127202428 269266853856 299573945632 306201687792 308935631433 322618095296 332699910774 336747354944 380228469456 382329179232 393190803642 408268917056 411914175244 443599881032 449360918448 483927142944 505121032416 506971292608 524254404856 538533707712 599147891264 612403375584 617871262866 665399821548 720849806677 760456938912 764658358464 786381607284 823828350488 887199762064 898721836896 967854285888 1010242064832 1048508809712 1224806751168 1235742525732 1330799643096 1441699613354 1520913877824 1572763214568 1647656700976 1774399524128 1797443673792 2097017619424 2162549420031 2471485051464 2661599286192 2883399226708 3145526429136 3295313401952 3548799048256 4194035238848 4325098840062 4942970102928 5323198572384 5766798453416 6291052858272 6590626803904 8650197680124 9885940205856 10646397144768 11533596906832 12582105716544 17300395360248 19771880411712 23067193813664 34600790720496 46134387627328 69201581440992 138403162881984
- Sum of all divisors σ(n): 504356953411584
- Sum of proper divisors (its aliquot sum) s(n): 365953790529600
- 138403162881984 is an abundant number, because the sum of its proper divisors (365953790529600) is greater than itself. Its abundance is 227550627647616
Bases of 138403162881984
- Binary: 111110111100000011111110101101111111111110000002
- Hexadecimal: 0x7DE07F5BFFC0
- Base-36: 1D25J9PS5C
Squares and roots of 138403162881984
- 138403162881984 squared (1384031628819842) is 19155435495736993644711776256
- 138403162881984 cubed (1384031628819843) is 2651172858991825061074111015204392741371904
-
The
square root of 138403162881984 is 11764487.3616313601 -
The
cube root of 138403162881984 is 51726.7673734987
Scales and comparisons
How big is 138403162881984?- 138,403,162,881,984 seconds is equal to 4,400,792 years, 24 weeks, 3 days, 6 hours, 46 minutes, 24 seconds.
-
To count from 1 to 138,403,162,881,984 would take you about eleven million, one thousand, nine hundred eighty-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 138403162881984 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138403162881984
- 138403162881984 backwards is 489188261304831
- 138403162881984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138403162881984's digits is 66
- More coming soon!
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"Number 138403162881984 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138403162881984 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138403162881984/
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The information we have on file for 138403162881984 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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