138745538150400
138,745,538,150,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138745538150400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1596 divisors.
138745538150400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred ninety-six divisors.
Prime factorization of 138745538150400:
218 × 36 × 52 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 113 × 257)See below for interesting mathematical facts about the number 138745538150400 from the Numbermatics database.
Names of 138745538150400
- Cardinal: 138745538150400 can be written as One hundred thirty-eight trillion, seven hundred forty-five billion, five hundred thirty-eight million, one hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.387455381504 × 1014
Factors of 138745538150400
Divisors of 138745538150400
- Number of divisors d(n): 1596
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 113 120 128 135 144 150 160 162 180 192 200 216 225 226 240 243 256 257 270 288 300 320 324 339 360 384 400 405 432 450 452 480 486 512 514 540 565 576 600 640 648 675 678 720 729 768 771 800 810 864 900 904 960 972 1017 1024 1028 1080 1130 1152 1200 1215 1280 1285 1296 1350 1356 1440 1458 1536 1542 1600 1620 1695 1728 1800 1808 1920 1944 2025 2034 2048 2056 2160 2260 2304 2313 2400 2430 2560 2570 2592 2700 2712 2825 2880 2916 3051 3072 3084 3200 3240 3390 3456 3600 3616 3645 3840 3855 3888 4050 4068 4096 4112 4320 4520 4608 4626 4800 4860 5085 5120 5140 5184 5400 5424 5650 5760 5832 6075 6102 6144 6168 6400 6425 6480 6780 6912 6939 7200 7232 7290 7680 7710 7776 8100 8136 8192 8224 8475 8640 9040 9153 9216 9252 9600 9720 10170 10240 10280 10368 10800 10848 11300 11520 11565 11664 12150 12204 12288 12336 12800 12850 12960 13560 13824 13878 14400 14464 14580 15255 15360 15420 15552 16200 16272 16384 16448 16950 17280 18080 18225 18306 18432 18504 19200 19275 19440 20340 20480 20560 20736 20817 21600 21696 22600 23040 23130 23328 24300 24408 24576 24672 25425 25600 25700 25920 27120 27459 27648 27756 28800 28928 29041 29160 30510 30720 30840 31104 32400 32544 32768 32896 33900 34560 34695 36160 36450 36612 36864 37008 38400 38550 38880 40680 40960 41120 41472 41634 43200 43392 45200 45765 46080 46260 46656 48600 48816 49152 49344 50850 51200 51400 51840 54240 54918 55296 55512 57600 57825 57856 58082 58320 61020 61440 61680 62208 62451 64800 65088 65536 65792 67800 69120 69390 72320 72900 73224 73728 74016 76275 76800 77100 77760 81360 81920 82240 82377 82944 83268 86400 86784 87123 90400 91530 92160 92520 93312 97200 97632 98304 98688 101700 102400 102800 103680 104085 108480 109836 110592 111024 115200 115650 115712 116164 116640 122040 122880 123360 124416 124902 129600 130176 131072 131584 135600 137295 138240 138780 144640 145205 145800 146448 147456 148032 152550 153600 154200 155520 162720 163840 164480 164754 165888 166536 172800 173475 173568 174246 180800 183060 184320 185040 186624 187353 194400 195264 196608 197376 203400 204800 205600 207360 208170 216960 219672 221184 222048 228825 230400 231300 231424 232328 233280 244080 245760 246720 248832 249804 259200 260352 261369 262144 263168 271200 274590 276480 277560 289280 290410 291600 292896 294912 296064 305100 307200 308400 311040 312255 325440 327680 328960 329508 331776 333072 345600 346950 347136 348492 361600 366120 368640 370080 373248 374706 388800 390528 393216 394752 406800 409600 411200 411885 414720 416340 433920 435615 439344 442368 444096 457650 460800 462600 462848 464656 466560 488160 491520 493440 497664 499608 518400 520425 520704 522738 526336 542400 549180 552960 555120 578560 580820 583200 585792 589824 592128 610200 614400 616800 622080 624510 650880 655360 657920 659016 663552 666144 686475 691200 693900 694272 696984 723200 726025 732240 737280 740160 746496 749412 777600 781056 784107 786432 789504 813600 819200 822400 823770 829440 832680 867840 871230 878688 884736 888192 915300 921600 925200 925696 929312 933120 936765 976320 983040 986880 995328 999216 1036800 1040850 1041408 1045476 1052672 1084800 1098360 1105920 1110240 1157120 1161640 1166400 1171584 1179648 1184256 1220400 1228800 1233600 1244160 1249020 1301760 1306845 1310720 1315840 1318032 1327104 1332288 1372950 1382400 1387800 1388544 1393968 1446400 1452050 1464480 1474560 1480320 1492992 1498824 1555200 1561275 1562112 1568214 1579008 1627200 1638400 1644800 1647540 1658880 1665360 1735680 1742460 1757376 1769472 1776384 1830600 1843200 1850400 1851392 1858624 1866240 1873530 1952640 1966080 1973760 1990656 1998432 2059425 2073600 2081700 2082816 2090952 2105344 2169600 2178075 2196720 2211840 2220480 2314240 2323280 2332800 2343168 2352321 2359296 2368512 2440800 2457600 2467200 2488320 2498040 2603520 2613690 2631680 2636064 2654208 2664576 2745900 2764800 2775600 2777088 2787936 2892800 2904100 2928960 2949120 2960640 2985984 2997648 3110400 3122550 3124224 3136428 3158016 3254400 3276800 3289600 3295080 3317760 3330720 3471360 3484920 3514752 3538944 3552768 3661200 3686400 3700800 3702784 3717248 3732480 3747060 3905280 3920535 3932160 3947520 3981312 3996864 4118850 4147200 4163400 4165632 4181904 4210688 4339200 4356150 4393440 4423680 4440960 4628480 4646560 4665600 4683825 4686336 4704642 4737024 4881600 4915200 4934400 4976640 4996080 5207040 5227380 5263360 5272128 5308416 5329152 5491800 5529600 5551200 5554176 5575872 5785600 5808200 5857920 5898240 5921280 5971968 5995296 6220800 6245100 6248448 6272856 6316032 6508800 6534225 6553600 6579200 6590160 6635520 6661440 6942720 6969840 7029504 7056963 7077888 7105536 7322400 7372800 7401600 7405568 7434496 7464960 7494120 7810560 7841070 7895040 7962624 7993728 8237700 8294400 8326800 8331264 8363808 8421376 8678400 8712300 8786880 8847360 8881920 9256960 9293120 9331200 9367650 9372672 9409284 9474048 9763200 9830400 9868800 9953280 9992160 10414080 10454760 10526720 10544256 10616832 10658304 10983600 11059200 11102400 11108352 11151744 11571200 11616400 11715840 11761605 11796480 11842560 11943936 11990592 12441600 12490200 12496896 12545712 12632064 13017600 13068450 13158400 13180320 13271040 13322880 13885440 13939680 14059008 14113926 14211072 14644800 14745600 14803200 14811136 14868992 14929920 14988240 15621120 15682140 15790080 15925248 15987456 16475400 16588800 16653600 16662528 16727616 16842752 17356800 17424600 17573760 17694720 17763840 18513920 18586240 18662400 18735300 18745344 18818568 18948096 19526400 19602675 19660800 19737600 19906560 19984320 20828160 20909520 21053440 21088512 21170889 21233664 21316608 21967200 22118400 22204800 22216704 22303488 23142400 23232800 23431680 23523210 23685120 23887872 23981184 24883200 24980400 24993792 25091424 25264128 26035200 26136900 26316800 26360640 26542080 26645760 27770880 27879360 28118016 28227852 28422144 29289600 29491200 29606400 29622272 29737984 29859840 29976480 31242240 31364280 31580160 31850496 31974912 32950800 33177600 33307200 33325056 33455232 33685504 34713600 34849200 35147520 35284815 35389440 35527680 37027840 37172480 37324800 37470600 37490688 37637136 37896192 39052800 39205350 39475200 39813120 39968640 41656320 41819040 42106880 42177024 42341778 42633216 43934400 44236800 44409600 44433408 44606976 46284800 46465600 46863360 47046420 47370240 47775744 47962368 49766400 49960800 49987584 50182848 50528256 52070400 52273800 52633600 52721280 53084160 53291520 55541760 55758720 56236032 56455704 56844288 58579200 58808025 58982400 59212800 59475968 59719680 59952960 62484480 62728560 63160320 63700992 63949824 65901600 66355200 66614400 66650112 66910464 67371008 69427200 69698400 70295040 70569630 71055360 74055680 74344960 74649600 74941200 74981376 75274272 75792384 78105600 78410700 78950400 79626240 79937280 83312640 83638080 84213760 84354048 84683556 85266432 87868800 88473600 88819200 88866816 89213952 92569600 92931200 93726720 94092840 94740480 95551488 95924736 99532800 99921600 99975168 100365696 101056512 104140800 104547600 105267200 105442560 105854445 106168320 106583040 111083520 111517440 112472064 112911408 113688576 117158400 117616050 118425600 118951936 119439360 119905920 124968960 125457120 126320640 127899648 131803200 132710400 133228800 133300224 133820928 138854400 139396800 140590080 141139260 142110720 148111360 148689920 149299200 149882400 149962752 150548544 151584768 156211200 156821400 157900800 159252480 159874560 166625280 167276160 168427520 168708096 169367112 170532864 175737600 176424075 176947200 177638400 178427904 185139200 185862400 187453440 188185680 189480960 191102976 191849472 199065600 199843200 199950336 200731392 202113024 208281600 209095200 210534400 210885120 211708890 213166080 222167040 223034880 224944128 225822816 227377152 234316800 235232100 236851200 237903872 238878720 239811840 249937920 250914240 252641280 255799296 263606400 265420800 266457600 266600448 267641856 277708800 278793600 281180160 282278520 284221440 297379840 298598400 299764800 299925504 301097088 303169536 312422400 313642800 315801600 318504960 319749120 333250560 334552320 336855040 337416192 338734224 341065728 351475200 352848150 355276800 356855808 370278400 371724800 374906880 376371360 378961920 383698944 398131200 399686400 399900672 401462784 416563200 418190400 421068800 421770240 423417780 426332160 444334080 446069760 449888256 451645632 454754304 468633600 470464200 473702400 475807744 477757440 479623680 499875840 501828480 505282560 511598592 527212800 529272225 530841600 532915200 535283712 555417600 557587200 562360320 564557040 568442880 594759680 597196800 599529600 599851008 602194176 606339072 624844800 627285600 631603200 639498240 666501120 669104640 674832384 677468448 682131456 702950400 705696300 710553600 713711616 740556800 743449600 749813760 752742720 757923840 767397888 796262400 799372800 799801344 802925568 833126400 836380800 842137600 843540480 846835560 852664320 892139520 899776512 903291264 909508608 937267200 940928400 947404800 951615488 955514880 959247360 999751680 1003656960 1010565120 1023197184 1054425600 1058544450 1065830400 1070567424 1110835200 1115174400 1124720640 1129114080 1136885760 1189519360 1194393600 1199059200 1199702016 1204388352 1249689600 1254571200 1263206400 1278996480 1333002240 1338209280 1349664768 1354936896 1364262912 1405900800 1411392600 1421107200 1427423232 1486899200 1499627520 1505485440 1515847680 1534795776 1592524800 1598745600 1605851136 1666252800 1672761600 1684275200 1687080960 1693671120 1705328640 1784279040 1799553024 1806582528 1819017216 1874534400 1881856800 1894809600 1903230976 1918494720 1999503360 2007313920 2046394368 2108851200 2117088900 2131660800 2141134848 2221670400 2230348800 2249441280 2258228160 2273771520 2379038720 2388787200 2398118400 2399404032 2408776704 2499379200 2509142400 2526412800 2557992960 2676418560 2699329536 2709873792 2728525824 2811801600 2822785200 2842214400 2854846464 2973798400 2999255040 3010970880 3031695360 3069591552 3197491200 3211702272 3332505600 3345523200 3374161920 3387342240 3410657280 3568558080 3599106048 3613165056 3749068800 3763713600 3789619200 3806461952 3836989440 3999006720 4014627840 4092788736 4217702400 4234177800 4263321600 4282269696 4460697600 4498882560 4516456320 4547543040 4758077440 4777574400 4796236800 4817553408 4998758400 5018284800 5052825600 5115985920 5352837120 5398659072 5419747584 5457051648 5623603200 5645570400 5684428800 5709692928 5947596800 5998510080 6021941760 6139183104 6394982400 6423404544 6665011200 6691046400 6748323840 6774684480 6821314560 7137116160 7198212096 7226330112 7498137600 7527427200 7579238400 7612923904 7673978880 8029255680 8185577472 8435404800 8468355600 8526643200 8564539392 8921395200 8997765120 9032912640 9095086080 9516154880 9592473600 9635106816 9997516800 10036569600 10231971840 10705674240 10797318144 10839495168 11247206400 11291140800 11368857600 11419385856 11895193600 11997020160 12043883520 12278366208 12789964800 12846809088 13382092800 13496647680 13549368960 13642629120 14274232320 14452660224 14996275200 15054854400 15158476800 15347957760 16058511360 16371154944 16870809600 16936711200 17053286400 17129078784 17842790400 17995530240 18065825280 19032309760 19184947200 19270213632 19995033600 20073139200 20463943680 21411348480 21594636288 21678990336 22494412800 22582281600 22737715200 22838771712 23790387200 24087767040 24556732416 25579929600 25693618176 26764185600 26993295360 27098737920 27285258240 28548464640 28905320448 29992550400 30109708800 30695915520 32117022720 33741619200 33873422400 34106572800 34258157568 35685580800 35991060480 36131650560 38064619520 38369894400 38540427264 40146278400 40927887360 42822696960 43357980672 44988825600 45164563200 45475430400 47580774400 48175534080 49113464832 51159859200 51387236352 53528371200 53986590720 54197475840 57096929280 57810640896 59985100800 60219417600 61391831040 64234045440 67483238400 67746844800 68213145600 68516315136 71371161600 72263301120 76739788800 77080854528 80292556800 81855774720 85645393920 86715961344 89977651200 90329126400 95161548800 96351068160 102319718400 102774472704 107056742400 107973181440 108394951680 114193858560 115621281792 120438835200 122783662080 128468090880 134966476800 135493689600 136426291200 142742323200 144526602240 153479577600 154161709056 160585113600 171290787840 173431922688 179955302400 180658252800 190323097600 192702136320 204639436800 205548945408 214113484800 216789903360 231242563584 240877670400 245567324160 256936181760 269932953600 270987379200 285484646400 289053204480 306959155200 308323418112 321170227200 342581575680 346863845376 361316505600 385404272640 409278873600 428226969600 433579806720 462485127168 481755340800 513872363520 539865907200 541974758400 570969292800 578106408960 613918310400 616646836224 642340454400 693727690752 722633011200 770808545280 856453939200 867159613440 924970254336 963510681600 1027744727040 1083949516800 1156212817920 1227836620800 1284680908800 1387455381504 1445266022400 1541617090560 1712907878400 1734319226880 1849940508672 1927021363200 2167899033600 2312425635840 2569361817600 2774910763008 2890532044800 3083234181120 3468638453760 3854042726400 4335798067200 4624851271680 5138723635200 5549821526016 5781064089600 6937276907520 7708085452800 8671596134400 9249702543360 11562128179200 13874553815040 15416170905600 17343192268800 23124256358400 27749107630080 34686384537600 46248512716800 69372769075200 138745538150400
- Sum of all divisors σ(n): 522487015774452
- Sum of proper divisors (its aliquot sum) s(n): 383741477624052
- 138745538150400 is an abundant number, because the sum of its proper divisors (383741477624052) is greater than itself. Its abundance is 244995939473652
Bases of 138745538150400
- Binary: 111111000110000001101101000010000000000000000002
- Hexadecimal: 0x7E3036840000
- Base-36: 1D6ITJ4000
Squares and roots of 138745538150400
- 138745538150400 squared (1387455381504002) is 19250324356644101853020160000
- 138745538150400 cubed (1387455381504003) is 2670896612432338569363351942740312064000000
-
The
square root of 138745538150400 is 11779029.5928994083 -
The
cube root of 138745538150400 is 51769.3853362921
Scales and comparisons
How big is 138745538150400?- 138,745,538,150,400 seconds is equal to 4,411,678 years, 49 weeks, 1 day.
-
To count from 1 to 138,745,538,150,400 would take you about eleven million, twenty-nine thousand, one hundred ninety-seven 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 138745538150400 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138745538150400
- 138745538150400 backwards is 004051835547831
- 138745538150400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138745538150400's digits is 54
- More coming soon!
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"Number 138745538150400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138745538150400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138745538150400/
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The information we have on file for 138745538150400 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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