138397190400
138,397,190,400 is an even composite number composed of seven prime numbers multiplied together.
138397190400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138397190400:
28 × 32 × 52 × 7 × 17 × 61 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 61 × 331)See below for interesting mathematical facts about the number 138397190400 from the Numbermatics database.
Names of 138397190400
- Cardinal: 138397190400 can be written as One hundred thirty-eight billion, three hundred ninety-seven million, one hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.383971904 × 1011
Factors of 138397190400
Divisors of 138397190400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 61 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 122 126 128 136 140 144 150 153 160 168 170 175 180 183 192 200 204 210 224 225 238 240 244 252 255 256 272 280 288 300 305 306 315 320 331 336 340 350 357 360 366 384 400 408 420 425 427 448 450 476 480 488 504 510 525 544 549 560 576 595 600 610 612 630 640 662 672 680 700 714 720 732 765 768 800 816 840 850 854 896 900 915 952 960 976 993 1008 1020 1037 1050 1071 1088 1098 1120 1152 1190 1200 1220 1224 1260 1275 1280 1281 1324 1344 1360 1400 1428 1440 1464 1525 1530 1575 1600 1632 1655 1680 1700 1708 1785 1792 1800 1830 1904 1920 1952 1986 2016 2040 2074 2100 2135 2142 2176 2196 2240 2304 2317 2380 2400 2440 2448 2520 2550 2562 2648 2688 2720 2745 2800 2856 2880 2928 2975 2979 3050 3060 3111 3150 3200 3264 3310 3360 3400 3416 3570 3600 3660 3808 3825 3840 3843 3904 3972 4032 4080 4148 4200 4270 4284 4352 4392 4480 4575 4634 4760 4800 4880 4896 4965 5040 5100 5124 5185 5296 5355 5376 5440 5490 5600 5627 5712 5760 5856 5950 5958 6100 6120 6222 6300 6400 6405 6528 6620 6720 6800 6832 6951 7140 7200 7259 7320 7616 7650 7686 7808 7944 8064 8160 8275 8296 8400 8540 8568 8784 8925 8960 9150 9268 9333 9520 9600 9760 9792 9930 10080 10200 10248 10370 10592 10675 10710 10880 10980 11200 11254 11424 11520 11585 11712 11900 11916 12200 12240 12444 12600 12810 13056 13240 13440 13600 13664 13725 13902 14280 14400 14518 14640 14895 15232 15300 15372 15555 15616 15888 16128 16320 16550 16592 16800 16881 17080 17136 17568 17850 18300 18536 18666 19040 19200 19215 19520 19584 19860 20160 20191 20400 20496 20740 20853 21184 21350 21420 21760 21777 21960 22400 22508 22848 23170 23424 23800 23832 24400 24480 24825 24888 25200 25620 25925 26480 26775 26880 27200 27328 27450 27804 28135 28560 28800 29036 29280 29790 30464 30600 30744 31110 31776 32025 32640 33100 33184 33600 33762 34160 34272 34755 35136 35700 36295 36600 37072 37332 38080 38430 39040 39168 39389 39720 40320 40382 40800 40992 41480 41706 42368 42700 42840 43554 43920 44800 45016 45696 46340 46665 46848 47600 47664 48800 48960 49650 49776 50400 50643 51240 51850 52960 53550 54400 54656 54900 55608 56270 57120 57600 57925 58072 58560 59580 60573 61200 61488 62220 63552 64050 65280 65331 66200 66368 67200 67524 68320 68544 69510 70272 71400 72590 73200 74144 74475 74664 76160 76860 77775 78080 78778 79440 80640 80764 81600 81984 82960 83412 84405 84736 85400 85680 87108 87840 90032 91392 92680 93330 95200 95328 96075 97600 97920 99300 99552 100800 100955 101286 102480 103700 104265 105920 107100 108800 108885 109312 109800 111216 112540 114240 115850 116144 117120 118167 119160 121146 122400 122976 124440 127104 128100 130662 132400 132736 134400 135048 136640 137088 139020 140544 140675 141337 142800 145180 146400 148288 148950 149328 152320 153720 155550 157556 158880 161528 163200 163968 165920 166824 168810 170800 171360 173775 174216 175680 180064 181475 181719 185360 186660 190400 190656 192150 195200 195840 196945 198600 199104 201600 201910 202572 204960 207400 208530 211840 214200 217770 219600 222432 225080 228480 231700 232288 233325 234240 236334 238320 242292 244800 245952 248880 253215 254208 256200 261324 264800 265472 270096 273280 274176 278040 281350 282674 285600 290360 292800 296576 297900 298656 302865 307440 311100 315112 317760 323056 326400 326655 327936 331840 333648 337620 341600 342720 343247 347550 348432 351360 354501 360128 362950 363438 370720 373320 380800 381312 384300 390400 393890 397200 398208 403200 403820 405144 409920 414800 417060 422025 423680 424011 428400 435540 439200 444864 450160 456960 463400 464576 466650 472668 476640 484584 489600 491904 497760 504775 506430 512400 521325 522648 529600 540192 544425 546560 556080 562700 565348 571200 580720 585600 590835 593152 595800 597312 605730 614880 622200 630224 635520 646112 653310 663680 667296 675240 683200 685440 686494 695100 696864 702720 706685 709002 720256 725900 726876 741440 746640 761600 762624 768600 787780 794400 796416 807640 810288 819840 829600 834120 844050 848022 856800 871080 878400 889728 900320 908595 926800 929152 933300 945336 953280 969168 979200 983808 984725 995520 1009550 1012860 1024800 1029741 1042650 1045296 1059200 1080384 1088850 1112160 1125400 1130696 1142400 1161440 1171200 1181670 1191600 1194624 1211460 1229760 1244400 1260448 1266075 1271040 1272033 1292224 1306620 1327360 1334592 1350480 1366400 1370880 1372988 1390200 1393728 1413370 1418004 1440512 1451800 1453752 1482880 1493280 1514325 1537200 1575560 1588800 1615280 1620576 1633275 1639680 1659200 1668240 1688100 1696044 1713600 1716235 1742160 1756800 1772505 1779456 1800640 1817190 1853600 1858304 1866600 1890672 1906560 1938336 1969450 1991040 2019100 2025720 2049600 2059482 2085300 2090592 2118400 2120055 2160768 2177700 2224320 2250800 2261392 2284800 2322880 2363340 2383200 2389248 2402729 2422920 2459520 2488800 2520896 2532150 2544066 2584448 2613240 2669184 2700960 2732800 2745976 2780400 2787456 2826740 2836008 2903600 2907504 2954175 2965760 2986560 3028650 3074400 3089223 3151120 3177600 3230560 3241152 3266550 3318400 3336480 3376200 3392088 3427200 3432470 3484320 3513600 3533425 3545010 3601280 3634380 3707200 3733200 3781344 3813120 3876672 3938900 3982080 4038200 4051440 4099200 4118964 4170600 4181184 4240110 4321536 4355400 4448640 4501600 4522784 4542975 4645760 4726680 4766400 4805458 4845840 4919040 4977600 5041792 5064300 5088132 5148705 5168896 5226480 5338368 5401920 5491952 5560800 5574912 5653480 5672016 5807200 5815008 5908350 5973120 6057300 6148800 6178446 6302240 6355200 6360165 6461120 6482304 6533100 6636800 6672960 6752400 6784176 6854400 6864940 6968640 7066850 7090020 7202560 7208187 7268760 7414400 7466400 7562688 7753344 7877800 8076400 8102880 8198400 8237928 8341200 8362368 8480220 8581175 8710800 8862525 8897280 9003200 9045568 9085950 9291520 9453360 9532800 9610916 9691680 9955200 10083584 10128600 10176264 10297410 10452960 10600275 10803840 10983904 11121600 11306960 11344032 11614400 11630016 11816700 11946240 12013645 12114600 12297600 12356892 12604480 12720330 12922240 12964608 13066200 13345920 13504800 13568352 13729880 13937280 14133700 14180040 14416374 14537520 14828800 14932800 15125376 15446115 15506688 15755600 16152800 16205760 16475856 16682400 16724736 16960440 17162350 17421600 17725050 18006400 18091136 18171900 18906720 19065600 19221832 19383360 19910400 20257200 20352528 20594820 20905920 21200550 21607680 21624561 21967808 22243200 22613920 22688064 23228800 23260032 23633400 24027290 24229200 24595200 24713784 25208960 25440660 25743525 25844480 26132400 26691840 27009600 27136704 27459760 27874560 28267400 28360080 28832748 29075040 29865600 30250752 30892230 31511200 31800825 32305600 32411520 32951712 33364800 33920880 34324700 34843200 35450100 36012800 36040935 36182272 36343800 37813440 38443664 38766720 40514400 40705056 41189640 41811840 42401100 43249122 43935616 44486400 45227840 45376128 46457600 46520064 47266800 48054580 48458400 49427568 50417920 50881320 51487050 52264800 54019200 54273408 54919520 56534800 56720160 57665496 58150080 59731200 60068225 61784460 63022400 63601650 64611200 64823040 65903424 66729600 67841760 68649400 69686400 70900200 72081870 72687600 75626880 76887328 77230575 77533440 81028800 81410112 82379280 83623680 84802200 86498244 87871232 90455680 90752256 94533600 96109160 96916800 98855136 101762640 102974100 104529600 108038400 108122805 108546816 109839040 113069600 113440320 115330992 116300160 120136450 123568920 126044800 127203300 129222400 131806848 133459200 135683520 137298800 139372800 141800400 144163740 145375200 151253760 153774656 154461150 162057600 162820224 164758560 169604400 172996488 180204675 180911360 189067200 192218320 193833600 197710272 203525280 205948200 209059200 216245610 219678080 226139200 226880640 230661984 232600320 240272900 247137840 252089600 254406600 263613696 271367040 274597600 283600800 288327480 290750400 307549312 308922300 324115200 325640448 329517120 339208800 345992976 360409350 378134400 384436640 387667200 395420544 407050560 411896400 418118400 432491220 439356160 452278400 453761280 461323968 480545800 494275680 508813200 540614025 542734080 549195200 567201600 576654960 581500800 615098624 617844600 659034240 678417600 691985952 720818700 756268800 768873280 790841088 814101120 823792800 864982440 904556800 922647936 961091600 988551360 1017626400 1081228050 1098390400 1134403200 1153309920 1163001600 1235689200 1318068480 1356835200 1383971904 1441637400 1537746560 1628202240 1647585600 1729964880 1845295872 1922183200 1977102720 2035252800 2162456100 2196780800 2268806400 2306619840 2471378400 2713670400 2767943808 2883274800 3075493120 3295171200 3459929760 3844366400 3954205440 4070505600 4324912200 4613239680 4942756800 5535887616 5766549600 6590342400 6919859520 7688732800 8141011200 8649824400 9226479360 9885513600 11533099200 13839719040 15377465600 17299648800 19771027200 23066198400 27679438080 34599297600 46132396800 69198595200 138397190400
- Sum of all divisors σ(n): 610405181568
- Sum of proper divisors (its aliquot sum) s(n): 472007991168
- 138397190400 is an abundant number, because the sum of its proper divisors (472007991168) is greater than itself. Its abundance is 333610800768
Bases of 138397190400
- Binary: 100000001110010001110110001001000000002
- Hexadecimal: 0x20391D8900
- Base-36: 1RKU43K0
Squares and roots of 138397190400
- 138397190400 squared (1383971904002) is 19153782310613852160000
- 138397190400 cubed (1383971904003) is 2650829657322177238264971264000000
-
The
square root of 138397190400 is 372017.7286098069 -
The
cube root of 138397190400 is 5172.6023311433
Scales and comparisons
How big is 138397190400?- 138,397,190,400 seconds is equal to 4,400 years, 31 weeks, 2 days, 8 hours.
-
To count from 1 to 138,397,190,400 would take you about eight thousand, eight hundred 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 138397190400 cubic inches would be around 431.1 feet tall.
Recreational maths with 138397190400
- 138397190400 backwards is 004091793831
- 138397190400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138397190400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138397190400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138397190400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138397190400/
Chicago style:
Numbermatics. 2024. "Number 138397190400 - Facts about the integer". https://numbermatics.com/n/138397190400/
The information we have on file for 138397190400 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 138397190400, math, Factors of 138397190400, curriculum, school, college, exams, university, Prime factorization of 138397190400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three hundred ninety-seven million, one hundred ninety thousand, four hundred.