138521525351040
138,521,525,351,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 138521525351040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138521525351040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138521525351040:
27 × 32 × 5 × 132 × 792 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 79 × 79 × 151 × 151)See below for interesting mathematical facts about the number 138521525351040 from the Numbermatics database.
Names of 138521525351040
- Cardinal: 138521525351040 can be written as One hundred thirty-eight trillion, five hundred twenty-one billion, five hundred twenty-five million, three hundred fifty-one thousand and forty.
Scientific notation
- Scientific notation: 1.3852152535104 × 1014
Factors of 138521525351040
Divisors of 138521525351040
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 79 80 90 96 104 117 120 128 130 144 151 156 158 160 169 180 192 195 208 234 237 240 260 288 302 312 316 320 338 360 384 390 395 416 453 468 474 480 507 520 576 585 604 624 632 640 676 711 720 755 780 790 832 845 906 936 948 960 1014 1027 1040 1152 1170 1185 1208 1248 1264 1352 1359 1422 1440 1510 1521 1560 1580 1664 1690 1812 1872 1896 1920 1963 2028 2054 2080 2265 2340 2370 2416 2496 2528 2535 2704 2718 2844 2880 3020 3042 3081 3120 3160 3380 3555 3624 3744 3792 3926 4056 4108 4160 4530 4680 4740 4832 4992 5056 5070 5135 5408 5436 5688 5760 5889 6040 6084 6162 6240 6241 6320 6760 6795 7110 7248 7488 7584 7605 7852 8112 8216 8320 9060 9243 9360 9480 9664 9815 10112 10140 10270 10816 10872 11376 11778 11929 12080 12168 12324 12480 12482 12640 13351 13520 13590 14220 14496 14976 15168 15210 15405 15704 16224 16432 17667 18120 18486 18720 18723 18960 19328 19630 20280 20540 21632 21744 22752 22801 23556 23858 24160 24336 24648 24960 24964 25280 25519 26702 27040 27180 28440 28992 29445 30336 30420 30810 31205 31408 32448 32864 35334 35787 36240 36972 37440 37446 37920 39260 40053 40560 41080 43488 45504 45602 46215 47112 47716 48320 48672 49296 49928 50560 51038 53404 54080 54360 56169 56880 57984 58890 59645 60840 61620 62410 62816 64896 65728 66755 68403 70668 71574 72480 73944 74880 74892 75840 76557 78520 80106 81120 81133 82160 86976 88335 91008 91204 92430 93615 94224 95432 96640 97344 98592 99856 102076 106808 107361 108160 108720 112338 113760 114005 117780 119290 120159 121680 123240 124820 125632 127595 131456 133510 136806 141336 143148 144960 147888 149784 151680 153114 155077 157040 160212 162240 162266 164320 173952 176670 178935 182408 184860 187230 188448 190864 194688 197184 199712 200265 204152 205209 213616 214722 217440 224676 227520 228010 229671 235560 238580 240318 243360 243399 246480 249640 251264 255190 267020 273612 280845 282672 286296 289920 295776 296413 299568 306228 310154 314080 320424 324480 324532 328640 342015 353340 357870 364816 369720 374460 376896 381728 382785 394368 399424 400530 405665 408304 410418 427232 429444 434880 449352 455040 456020 459342 465231 471120 477160 480636 486720 486798 492960 499280 510380 534040 536805 547224 561690 565344 572592 591552 592826 599136 600795 612456 620308 628160 640848 649064 657280 684030 706680 715740 729632 730197 739440 748920 753792 763456 765570 775385 798848 801060 811330 816608 820836 854464 858888 869760 889239 898704 912040 918684 930462 942240 942391 954320 961272 973440 973596 985920 998560 1020760 1026045 1054729 1068080 1073610 1094448 1123380 1130688 1145184 1148355 1183104 1185652 1198272 1201590 1216995 1224912 1240616 1256320 1281696 1298128 1368060 1395693 1413360 1431480 1459264 1460394 1478880 1482065 1497840 1526912 1531140 1550770 1602120 1622660 1633216 1641672 1708928 1717776 1778478 1797408 1801279 1824080 1837368 1860924 1884480 1884782 1908640 1922544 1947192 1971840 1997120 2016001 2041520 2052090 2109458 2136160 2147220 2188896 2246760 2261376 2290368 2296710 2326155 2371304 2396544 2403180 2433990 2449824 2481232 2563392 2596256 2667717 2736120 2791386 2826720 2827173 2862960 2918528 2920788 2957760 2964130 2995680 3062280 3101540 3164187 3204240 3245320 3266432 3283344 3435552 3556956 3594816 3602558 3648160 3650985 3674736 3721848 3768960 3769564 3817280 3845088 3853369 3894384 3994240 4032002 4083040 4104180 4218916 4272320 4294440 4377792 4446195 4493520 4580736 4593420 4652310 4711955 4742608 4806360 4867980 4899648 4962464 5126784 5192512 5273645 5335434 5403837 5472240 5582772 5653440 5654346 5725920 5841576 5915520 5928260 5991360 6048003 6124560 6203080 6328374 6408480 6490640 6566688 6871104 6978465 7113912 7189632 7205116 7296320 7301970 7349472 7443696 7539128 7634560 7690176 7706738 7788768 8064004 8166080 8208360 8437832 8481519 8544640 8588880 8755584 8892390 8987040 9006395 9186840 9304620 9423910 9485216 9492561 9612720 9735960 9799296 9924928 10080005 10385024 10547290 10670868 10807674 10944480 11165544 11306880 11308692 11451840 11560107 11683152 11856520 11982720 12096006 12249120 12251083 12406160 12656748 12816960 12981280 13133376 13338585 13742208 13956930 14135865 14227824 14410232 14592640 14603940 14698944 14887392 15078256 15380352 15413476 15577536 15820935 16128008 16211511 16332160 16416720 16875664 16963038 17177760 17784780 17974080 18012790 18144009 18373680 18609240 18847820 18970432 18985122 19225440 19266845 19471920 19849856 20160010 21094580 21341736 21615348 21888960 22331088 22617384 22903680 23120214 23366304 23416627 23713040 24192012 24498240 24502166 24812320 25313496 25633920 25962560 26266752 26677170 27019185 27913860 28271730 28455648 28820464 29207880 29397888 29774784 30156512 30240015 30826952 31155072 31641870 32256016 32423022 32833440 33751328 33926076 34355520 34680321 35569560 35948160 36025580 36288018 36747360 36753249 37218480 37695640 37940864 37970244 38450880 38533690 38943840 40320020 42189160 42407595 42683472 43230696 43777920 44662176 45234768 46240428 46732608 46833254 47426080 47462805 48384024 48996480 49004332 49624640 50626992 51925120 53354340 54038370 55827720 56543460 56911296 57640928 57800535 58415760 59549568 60313024 60480030 61255415 61653904 63283740 64512032 64846044 65666880 67502656 67852152 68711040 69360642 70249881 71139120 72051160 72576036 73494720 73506498 74436960 75391280 75940488 76901760 77067380 77887680 80640040 81057555 84378320 84815190 85366944 86461392 89324352 90469536 90720045 92480856 93465216 93666508 94852160 94925610 96768048 98008664 99249280 101253984 106708680 108076740 110259747 111655440 113086920 113822592 115281856 115601070 116831520 117083135 120626048 120960060 122510830 123307808 126567480 129024064 129692088 131333760 135005312 135704304 138721284 140499762 142278240 142301041 144102320 145152072 146989440 147012996 148873920 150782560 151880976 154134760 155775360 159264079 161280080 162115110 168756640 169630380 170733888 172922784 173401605 178648704 180939072 181440090 183766245 184961712 187333016 189704320 189851220 193536096 196017328 202507968 210749643 213417360 216153480 220519494 223310880 226173840 230563712 231202140 233663040 234166270 241920120 245021660 246615616 253134960 258048128 259384176 271408608 277442568 280999524 284556480 284602082 288204640 290304144 294025992 297747840 301565120 303761952 304416151 308269520 318528158 322560160 324230220 337513280 339260760 341467776 345845568 346803210 351249405 361878144 362880180 367532490 369923424 374666032 379702440 387072192 392034656 405015936 421499286 426834720 426903123 432306960 441038988 446621760 452347680 462404280 467326080 468332540 477792237 483840240 490043320 493231232 506269920 518768352 542817216 551298735 554885136 561999048 569112960 569204164 576409280 580608288 588051984 603130240 607523904 608832302 616539040 637056316 645120320 648460440 675026560 678521520 691691136 693606420 702498810 711505205 725760360 735064980 739846848 749332064 759404880 774144384 784069312 796320395 842998572 853669440 853806246 864613920 882077976 893243520 904695360 913248453 924808560 936665080 955584474 967680480 980086640 1012539840 1037536704 1053748215 1085634432 1102597470 1109770272 1123998096 1138408328 1152818560 1161216576 1176103968 1215047808 1217664604 1233078080 1274112632 1280709369 1290240640 1296920880 1357043040 1387212840 1404997620 1423010410 1433376711 1451520720 1470129960 1479693696 1498664128 1518809760 1522080755 1568138624 1592640790 1685997144 1707338880 1707612492 1729227840 1764155952 1809390720 1826496906 1849617120 1849913533 1873330160 1911168948 1935360960 1960173280 2025079680 2075073408 2107496430 2134515615 2205194940 2219540544 2247996192 2276816656 2322433152 2352207936 2388961185 2435329208 2466156160 2548225264 2561418738 2593841760 2714086080 2739745359 2774425680 2809995240 2846020820 2866753422 2903041440 2940259920 2997328256 3037619520 3044161510 3185281580 3371994288 3415224984 3458455680 3528311904 3652993812 3699234240 3699827066 3746660320 3822337896 3870721920 3920346560 4214992860 4269031230 4410389880 4439081088 4495992384 4553633312 4566242265 4704415872 4777922370 4870658416 5096450528 5122837476 5187683520 5428172160 5479490718 5548851360 5549740599 5619990480 5692041640 5733506844 5806082880 5880519840 6075239040 6088323020 6370563160 6403546845 6743988576 6830449968 7056623808 7166883555 7305987624 7398468480 7399654132 7493320640 7644675792 7840693120 8429985720 8538062460 8820779760 8991984768 9107266624 9132484530 9249567665 9555844740 9741316832 10192901056 10245674952 10375367040 10958981436 11097702720 11099481198 11239980960 11384083280 11467013688 11612165760 11761039680 12176646040 12741126320 12807093690 13487977152 13660899936 13698726795 14113247616 14333767110 14611975248 14799308264 14986641280 15289351584 16649221797 16859971440 17076124920 17641559520 18214533248 18264969060 18499135330 19111689480 19482633664 20385802112 20491349904 21917962872 22195405440 22198962396 22479961920 22768166560 22934027376 23522079360 24048875929 24353292080 25482252640 25614187380 26975954304 27321799872 27397453590 27748702995 28667534220 29223950496 29598616528 30578703168 33298443594 33719942880 34152249840 35283119040 36529938120 36998270660 38223378960 38965267328 40982699808 43835925744 44397924792 44959923840 45536333120 45868054752 48097751858 48706584160 50964505280 51228374760 54643599744 54794907180 55497405990 57335068440 58447900992 59197233056 61157406336 66596887188 67439885760 68304499680 70566238080 72146627787 73059876240 73996541320 76446757920 81965399616 83246108985 87671851488 88795849584 91072666240 91736109504 96195503716 97413168320 101929010560 102456749520 109589814360 110994811980 114670136880 116895801984 118394466112 120244379645 133193774376 134879771520 136608999360 144293255574 146119752480 147993082640 152893515840 163930799232 166492217970 175343702976 177591699168 183472219008 192391007432 194826336640 204913499040 216439883361 219179628720 221989623960 229340273760 236788932224 240488759290 266387548752 273217998720 288586511148 292239504960 295986165280 305787031680 332984435940 350687405952 355183398336 360733138935 384782014864 409826998080 432879766722 438359257440 443979247920 458680547520 480977518580 532775097504 577173022296 584479009920 591972330560 665968871880 710366796672 721466277870 769564029728 819653996160 865759533444 876718514880 887958495840 917361095040 961955037160 1065550195008 1082199416805 1154346044592 1183944661120 1331937743760 1442932555740 1539128059456 1731519066888 1753437029760 1775916991680 1923910074320 2131100390016 2164398833610 2308692089184 2663875487520 2885865111480 3078256118912 3463038133776 3551833983360 3847820148640 4328797667220 4617384178368 5327750975040 5771730222960 6926076267552 7695640297280 8657595334440 9234768356736 10655501950080 11543460445920 13852152535104 15391280594560 17315190668880 23086920891840 27704305070208 34630381337760 46173841783680 69260762675520 138521525351040
- Sum of all divisors σ(n): 528093862151310
- Sum of proper divisors (its aliquot sum) s(n): 389572336800270
- 138521525351040 is an abundant number, because the sum of its proper divisors (389572336800270) is greater than itself. Its abundance is 251050811449230
Bases of 138521525351040
- Binary: 111110111111100000011100100111111110010100000002
- Hexadecimal: 0x7DFC0E4FF280
- Base-36: 1D3NWRO9S0
Squares and roots of 138521525351040
- 138521525351040 squared (1385215253510402) is 19188212985578817395229081600
- 138521525351040 cubed (1385215253510403) is 2657980531523011079741248166002656804864000
-
The
square root of 138521525351040 is 11769516.7849423621 -
The
cube root of 138521525351040 is 51741.5087596531
Scales and comparisons
How big is 138521525351040?- 138,521,525,351,040 seconds is equal to 4,404,556 years, 1 week, 4 days, 6 hours, 24 minutes.
-
To count from 1 to 138,521,525,351,040 would take you about eleven million, eleven thousand, three hundred ninety 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 138521525351040 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138521525351040
- 138521525351040 backwards is 040153525125831
- 138521525351040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138521525351040's digits is 45
- More coming soon!
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"Number 138521525351040 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138521525351040 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138521525351040/
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The information we have on file for 138521525351040 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 138521525351040, math, Factors of 138521525351040, curriculum, school, college, exams, university, Prime factorization of 138521525351040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred twenty-one billion, five hundred twenty-five million, three hundred fifty-one thousand and forty.