138821420469731328
138,821,420,469,731,328 is an even composite number composed of five prime numbers multiplied together.
138821420469731328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138821420469731328:
214 × 32 × 7 × 713 × 6132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 71 × 71 × 71 × 613 × 613)See below for interesting mathematical facts about the number 138821420469731328 from the Numbermatics database.
Names of 138821420469731328
- Cardinal: 138821420469731328 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-one trillion, four hundred twenty billion, four hundred sixty-nine million, seven hundred thirty-one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38821420469731328 × 1017
Factors of 138821420469731328
Divisors of 138821420469731328
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 71 72 84 96 112 126 128 142 144 168 192 213 224 252 256 284 288 336 384 426 448 497 504 512 568 576 613 639 672 768 852 896 994 1008 1024 1136 1152 1226 1278 1344 1491 1536 1704 1792 1839 1988 2016 2048 2272 2304 2452 2556 2688 2982 3072 3408 3584 3678 3976 4032 4096 4291 4473 4544 4608 4904 5041 5112 5376 5517 5964 6144 6816 7168 7356 7952 8064 8192 8582 8946 9088 9216 9808 10082 10224 10752 11034 11928 12288 12873 13632 14336 14712 15123 15904 16128 16384 17164 17892 18176 18432 19616 20164 20448 21504 22068 23856 24576 25746 27264 28672 29424 30246 31808 32256 34328 35287 35784 36352 36864 38619 39232 40328 40896 43008 43523 44136 45369 47712 49152 51492 54528 57344 58848 60492 63616 64512 68656 70574 71568 72704 73728 77238 78464 80656 81792 86016 87046 88272 90738 95424 102984 105861 109056 114688 117696 120984 127232 129024 130569 137312 141148 143136 145408 147456 154476 156928 161312 163584 172032 174092 176544 181476 190848 205968 211722 218112 235392 241968 254464 258048 261138 274624 282296 286272 290816 304661 308952 313856 317583 322624 327168 344064 348184 353088 357911 362952 375769 381696 391707 411936 423444 436224 470784 483936 508928 516096 522276 549248 564592 572544 581632 609322 617904 627712 635166 645248 654336 696368 706176 715822 725904 751538 763392 783414 823872 846888 872448 913983 941568 967872 1017856 1032192 1044552 1073733 1098496 1127307 1129184 1145088 1163264 1218644 1235808 1255424 1270332 1290496 1308672 1392736 1412352 1431644 1451808 1503076 1526784 1566828 1647744 1693776 1744896 1827966 1883136 1935744 2035712 2089104 2147466 2196992 2254614 2258368 2290176 2437288 2471616 2505377 2510848 2540664 2580992 2617344 2630383 2741949 2785472 2824704 2863288 2903616 3006152 3053568 3090133 3133656 3221199 3295488 3381921 3387552 3489792 3655932 3766272 3871488 4071424 4178208 4294932 4393984 4509228 4516736 4580352 4874576 4943232 5010754 5021696 5081328 5161984 5234688 5260766 5483898 5570944 5649408 5726576 5807232 6012304 6107136 6180266 6267312 6442398 6590976 6763842 6775104 7311864 7516131 7532544 7742976 7891149 8142848 8356416 8589864 8787968 9018456 9033472 9160704 9270399 9749152 9886464 10021508 10043392 10162656 10323968 10469376 10521532 10967796 11141888 11298816 11453152 11614464 12024608 12214272 12360532 12534624 12884796 13181952 13527684 13550208 14623728 15032262 15065088 15485952 15782298 16712832 17179728 17575936 18036912 18066944 18321408 18540798 19498304 19772928 20043016 20325312 20647936 21043064 21630931 21935592 22283776 22548393 22597632 22906304 23228928 23673447 24049216 24428544 24721064 25069248 25769592 26363904 26679599 27055368 27100416 27811197 29247456 30064524 30130176 30971904 31564596 33425664 34359456 35151872 36073824 36133888 36642816 37081596 38996608 39545856 40086032 40650624 41295872 42086128 43261862 43871184 44567552 45096786 45195264 45812608 46457856 47346894 48098432 49442128 50138496 51539184 52727808 53359198 54110736 54200832 55622394 58494912 60129048 61943808 63129192 64892793 66851328 68718912 70303744 72147648 72267776 73285632 74163192 77993216 79091712 80038797 80172064 81301248 82591744 84172256 86523724 87742368 89135104 90193572 90390528 91625216 92915712 94693788 96196864 98884256 100276992 103078368 105455616 106718396 108221472 108401664 111244788 116989824 120258096 123887616 126258384 129785586 133702656 137437824 144295296 144535552 148326384 155986432 158183424 160077594 160344128 162602496 168344512 173047448 175484736 178270208 180387144 183250432 185831424 186757193 189387576 192393728 194678379 197768512 200553984 206156736 210911232 213436792 216442944 216803328 219399443 222489576 233979648 240116391 240516192 247775232 252516768 259571172 267405312 274875648 288590592 289071104 296652768 311972864 316366848 320155188 320688256 325204992 336689024 346094896 350969472 356540416 360774288 366500864 371662848 373514386 378775152 384787456 389356758 395537024 401107968 412313472 426873584 432885888 433606656 438798886 444979152 467959296 480232782 481032384 505033536 519142344 534810624 549751296 560271579 577181184 578142208 593305536 623945728 632733696 640310376 641376512 650409984 658198329 673378048 692189792 701938944 713080832 721548576 733001728 743325696 747028772 757550304 769574912 778713516 791074048 802215936 824626944 853747168 865771776 867213312 877597772 889958304 935918592 960465564 962064768 1010067072 1038284688 1069621248 1099502592 1120543158 1154362368 1186611072 1247891456 1280620752 1282753024 1300819968 1316396658 1346756096 1384379584 1403877888 1443097152 1466003456 1494057544 1515100608 1535796101 1539149824 1557427032 1582148096 1604431872 1649253888 1680814737 1707494336 1731543552 1734426624 1755195544 1779916608 1871837184 1894251529 1920931128 1924129536 1974594987 2020134144 2076569376 2139242496 2199005184 2241086316 2308724736 2373222144 2495782912 2561241504 2565506048 2601639936 2632793316 2693512192 2768759168 2807755776 2886194304 2932006912 2988115088 3030201216 3071592202 3078299648 3114854064 3164296192 3208863744 3298507776 3361629474 3414988672 3463087104 3510391088 3559833216 3743674368 3788503058 3841862256 3848259072 3949189974 4040268288 4153138752 4398010368 4482172632 4607388303 4617449472 4746444288 4991565824 5122483008 5131012096 5203279872 5265586632 5387024384 5537518336 5615511552 5682754587 5772388608 5864013824 5976230176 6060402432 6143184404 6156599296 6229708128 6328592384 6417727488 6597015552 6723258948 6829977344 6926174208 7020782176 7119666432 7487348736 7577006116 7683724512 7696518144 7898379948 8080536576 8306277504 8796020736 8964345264 9214776606 9234898944 9492888576 10244966016 10262024192 10531173264 10774048768 11075036672 11231023104 11365509174 11544777216 11952460352 12120804864 12286368808 12459416256 12657184768 13194031104 13259760703 13446517896 13659954688 13822164909 13852348416 14041564352 14239332864 14974697472 15154012232 15367449024 15393036288 15796759896 16161073152 16612555008 17048263761 17592041472 17928690528 18429553212 18469797888 18985777152 20489932032 20524048384 21062346528 21548097536 22150073344 22462046208 22731018348 23089554432 23904920704 24241609728 24572737616 24918832512 25314369536 26388062208 26519521406 26893035792 27319909376 27644329818 27704696832 28083128704 28478665728 30308024464 30734898048 30786072576 31593519792 32322146304 33225110016 34096527522 35857381056 36859106424 37971554304 39779282109 40979864064 41048096768 42124693056 43096195072 44300146688 44924092416 45462036696 46179108864 47809841408 48483219456 49145475232 49837665024 50628739072 52776124416 53039042812 53786071584 54639818752 55288659636 55409393664 56166257408 56957331456 60616048928 61469796096 61572145152 63187039584 64644292608 66450220032 68193055044 71714762112 73718212848 75943108608 79558564218 81959728128 84249386112 88600293376 90924073392 92358217728 95619682816 96966438912 98290950464 99675330048 106078085624 107572143168 109279637504 110577319272 112332514816 113914662912 119337846327 121232097856 122939592192 123144290304 126374079168 129288585216 132900440064 134491858559 136386110088 143429524224 147436425696 151886217216 159117128436 163919456256 168498772224 177200586752 181848146784 184716435456 191239365632 193932877824 196581900928 199350660096 212156171248 215144286336 218559275008 221154638544 224665029632 227829325824 238675692654 242464195712 245879184384 252748158336 265800880128 268983717118 272772220176 286859048448 294872851392 318234256872 327838912512 336997544448 354401173504 363696293568 369432870912 382478731264 387865755648 393163801856 398701320192 403475575677 424312342496 430288572672 437118550016 442309277088 449330059264 455658651648 477351385308 484928391424 491758368768 505496316672 531601760256 537967434236 545544440352 573718096896 589745702784 636468513744 655677825024 673995088896 727392587136 764957462528 786327603712 797402640384 806951151354 848624684992 860577145344 884618554176 898660118528 941443009913 954702770616 969856782848 983516737536 1010992633344 1063203520512 1075934868472 1091088880704 1147436193792 1179491405568 1210426727031 1272937027488 1311355650048 1347990177792 1454785174272 1529914925056 1572655207424 1594805280768 1613902302708 1697249369984 1721154290688 1769237108352 1797320237056 1882886019826 1909405541232 1939713565696 1967033475072 2021985266688 2151869736944 2182177761408 2294872387584 2358982811136 2420853454062 2545874054976 2695980355584 2824329029739 2909570348544 3059829850112 3145310414848 3189610561536 3227804605416 3394498739968 3442308581376 3538474216704 3594640474112 3765772039652 3818811082464 3879427131392 3934066950144 4043970533376 4303739473888 4364355522816 4589744775168 4717965622272 4841706908124 5091748109952 5391960711168 5648658059478 5819140697088 6290620829696 6455609210832 6788997479936 6884617162752 7076948433408 7531544079304 7637622164928 7758854262784 8087941066752 8472987089217 8607478947776 8728711045632 9179489550336 9435931244544 9683413816248 10183496219904 10783921422336 11297316118956 11638281394176 12581241659392 12911218421664 13577994959872 13769234325504 14153896866816 15063088158608 15275244329856 15517708525568 16175882133504 16945974178434 17214957895552 17457422091264 18871862489088 19366827632496 20366992439808 22594632237912 23276562788352 25162483318784 25822436843328 27155989919744 27538468651008 28307793733632 30126176317216 30550488659712 31035417051136 32351764267008 33891948356868 34429915791104 34914844182528 37743724978176 38733655264992 40733984879616 45189264475824 46553125576704 51644873686656 54311979839488 56615587467264 60252352634432 61100977319424 67783896713736 68859831582208 69829688365056 75487449956352 77467310529984 81467969759232 90378528951648 93106251153408 103289747373312 108623959678976 113231174934528 120504705268864 122201954638848 135567793427472 137719663164416 139659376730112 154934621059968 162935939518464 180757057903296 206579494746624 217247919357952 226462349869056 241009410537728 244403909277696 271135586854944 275439326328832 279318753460224 309869242119936 325871879036928 361514115806592 413158989493248 482018821075456 488807818555392 542271173709888 550878652657664 619738484239872 651743758073856 723028231613184 826317978986496 964037642150912 977615637110784 1084542347419776 1101757305315328 1239476968479744 1446056463226368 1652635957972992 1928075284301824 1955231274221568 2169084694839552 2203514610630656 2478953936959488 2892112926452736 3305271915945984 3856150568603648 4338169389679104 4957907873918976 5784225852905472 6610543831891968 7712301137207296 8676338779358208 9915815747837952 11568451705810944 15424602274414592 17352677558716416 19831631495675904 23136903411621888 34705355117432832 46273806823243776 69410710234865664 138821420469731328
- Sum of all divisors σ(n): 465624000383907456
- Sum of proper divisors (its aliquot sum) s(n): 326802579914176128
- 138821420469731328 is an abundant number, because the sum of its proper divisors (326802579914176128) is greater than itself. Its abundance is 187981159444444800
Bases of 138821420469731328
- Binary: 1111011010011000101011000101011100101000001000000000000002
- Hexadecimal: 0x1ED3158AE504000
- Base-36: 11YW345OTFK0
Squares and roots of 138821420469731328
- 138821420469731328 squared (1388214204697313282) is 19271386781233940163539040504643584
- 138821420469731328 cubed (1388214204697313283) is 2675281287392499030848186019983869600861300878999552
-
The
square root of 138821420469731328 is 372587466.8715137123 -
The
cube root of 138821420469731328 is 517788.2147176045
Scales and comparisons
How big is 138821420469731328?- 138,821,420,469,731,328 seconds is equal to 4,414,091,768 years, 4 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,821,420,469,731,328 would take you about thirteen billion, two hundred forty-two million, two hundred seventy-five thousand, three hundred four 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 138821420469731328 cubic inches would be around 43149 feet tall.
Recreational maths with 138821420469731328
- 138821420469731328 backwards is 823137964024128831
- 138821420469731328 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138821420469731328's digits is 72
- More coming soon!
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"Number 138821420469731328 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138821420469731328 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138821420469731328/
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The information we have on file for 138821420469731328 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 138821420469731328, math, Factors of 138821420469731328, curriculum, school, college, exams, university, Prime factorization of 138821420469731328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred twenty-one trillion, four hundred twenty billion, four hundred sixty-nine million, seven hundred thirty-one thousand, three hundred twenty-eight.