138539148165120
138,539,148,165,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 138539148165120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138539148165120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138539148165120:
214 × 3 × 5 × 31 × 373 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 37 × 37 × 37 × 359)See below for interesting mathematical facts about the number 138539148165120 from the Numbermatics database.
Names of 138539148165120
- Cardinal: 138539148165120 can be written as One hundred thirty-eight trillion, five hundred thirty-nine billion, one hundred forty-eight million, one hundred sixty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3853914816512 × 1014
Factors of 138539148165120
Divisors of 138539148165120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 37 40 48 60 62 64 74 80 93 96 111 120 124 128 148 155 160 185 186 192 222 240 248 256 296 310 320 359 370 372 384 444 465 480 496 512 555 592 620 640 718 740 744 768 888 930 960 992 1024 1077 1110 1147 1184 1240 1280 1369 1436 1480 1488 1536 1776 1795 1860 1920 1984 2048 2154 2220 2294 2368 2480 2560 2738 2872 2960 2976 3072 3441 3552 3590 3720 3840 3968 4096 4107 4308 4440 4588 4736 4960 5120 5385 5476 5735 5744 5920 5952 6144 6845 6882 7104 7180 7440 7680 7936 8192 8214 8616 8880 9176 9472 9920 10240 10770 10952 11129 11470 11488 11840 11904 12288 13283 13690 13764 14208 14360 14880 15360 15872 16384 16428 17205 17232 17760 18352 18944 19840 20480 20535 21540 21904 22258 22940 22976 23680 23808 24576 26566 27380 27528 28416 28720 29760 30720 31744 32856 33387 34410 34464 35520 36704 37888 39680 39849 40960 41070 42439 43080 43808 44516 45880 45952 47360 47616 49152 50653 53132 54760 55056 55645 56832 57440 59520 61440 63488 65712 66415 66774 68820 68928 71040 73408 75776 79360 79698 81920 82140 84878 86160 87616 89032 91760 91904 94720 95232 101306 106264 109520 110112 111290 113664 114880 119040 122880 126976 127317 131424 132830 133548 137640 137856 142080 146816 151552 151959 158720 159396 164280 166935 169756 172320 175232 178064 183520 183808 189440 190464 199245 202612 212195 212528 219040 220224 222580 227328 229760 238080 245760 253265 253952 254634 262848 265660 267096 275280 275712 284160 293632 303104 303918 317440 318792 328560 333870 339512 344640 350464 356128 367040 367616 378880 380928 398490 405224 411773 424390 425056 438080 440448 445160 454656 459520 476160 491471 506530 507904 509268 525696 531320 534192 550560 551424 568320 587264 606208 607836 634880 636585 637584 657120 667740 679024 689280 700928 712256 734080 735232 757760 759795 761856 796980 810448 823546 848780 850112 876160 880896 890320 909312 919040 952320 982942 1013060 1018536 1051392 1062640 1068384 1101120 1102848 1136640 1174528 1215672 1235319 1269760 1273170 1275168 1314240 1335480 1358048 1378560 1401856 1424512 1468160 1470464 1474413 1515520 1519590 1523712 1570243 1593960 1620896 1647092 1697560 1700224 1752320 1761792 1780640 1818624 1838080 1904640 1965884 2026120 2037072 2058865 2102784 2125280 2136768 2202240 2205696 2273280 2349056 2431344 2457355 2470638 2539520 2546340 2550336 2628480 2670960 2716096 2757120 2803712 2849024 2936320 2940928 2948826 3031040 3039180 3140486 3187920 3241792 3294184 3395120 3400448 3504640 3523584 3561280 3676160 3809280 3931768 4052240 4074144 4117730 4205568 4250560 4273536 4404480 4411392 4546560 4698112 4710729 4862688 4914710 4941276 5092680 5100672 5256960 5341920 5432192 5514240 5607424 5698048 5872640 5881856 5897652 6078360 6176595 6280972 6375840 6483584 6588368 6790240 6800896 7009280 7047168 7122560 7352320 7372065 7618560 7851215 7863536 8104480 8148288 8235460 8411136 8501120 8547072 8808960 8822784 9093120 9396224 9421458 9725376 9829420 9882552 10185360 10201344 10513920 10683840 10864384 11028480 11214848 11396096 11745280 11795304 12156720 12353190 12561944 12751680 12967168 13176736 13580480 13601792 14018560 14094336 14245120 14704640 14744130 15235601 15702430 15727072 16208960 16296576 16470920 16822272 17002240 17094144 17617920 17645568 18184427 18792448 18842916 19450752 19658840 19765104 20370720 20402688 21027840 21367680 21728768 22056960 22429696 22792192 23490560 23553645 23590608 24313440 24706380 25123888 25503360 25934336 26353472 27160960 27203584 28037120 28188672 28490240 29409280 29488260 30471202 31404860 31454144 32417920 32593152 32941840 33644544 34004480 34188288 35235840 36368854 37685832 38901504 39317680 39530208 40741440 40805376 42055680 42735360 43457536 44113920 45584384 45706803 46981120 47107290 47181216 48626880 49412760 50247776 51006720 51868672 52706944 54321920 54407168 54553281 56074240 56377344 56980480 58976520 60942404 62809720 62908288 64835840 65186304 65883680 67289088 68008960 68376576 70471680 72737708 75371664 76178005 77803008 78635360 79060416 81482880 81610752 84111360 85470720 86915072 88227840 90922135 91168768 91413606 93962240 94214580 94362432 97253760 98825520 100495552 102013440 103737344 105413888 108643840 108814336 109106562 112148480 113960960 117953040 121884808 125619440 125816576 129671680 130372608 131767360 136017920 136753152 140943360 145475416 150743328 152356010 155606016 157270720 158120832 162965760 163221504 168222720 170941440 173830144 181844270 182337536 182827212 188429160 188724864 194507520 197651040 200991104 204026880 207474688 210827776 217287680 217628672 218213124 227921920 228534015 235906080 243769616 251238880 251633152 259343360 260745216 263534720 272035840 272766405 273506304 281886720 290950832 301486656 304712020 311212032 314541440 316241664 325931520 326443008 336445440 341882880 347660288 363688540 365654424 376858320 377449728 389015040 395302080 401982208 408053760 414949376 421655552 434575360 436426248 455843840 457068030 471812160 487539232 502477760 503266304 518686720 521490432 527069440 544071680 545532810 547012608 563717237 581901664 602973312 609424040 622424064 629082880 632483328 651863040 652886016 683765760 695320576 727377080 731308848 753716640 754899456 778030080 790604160 803964416 816107520 829898752 843311104 869150720 872852496 911687680 914136060 943624320 975078464 1004955520 1006532608 1037373440 1042980864 1054138880 1088143360 1091065620 1127434474 1163803328 1205946624 1218848080 1244848128 1258165760 1264966656 1303726080 1367531520 1454754160 1462617696 1507433280 1509798912 1556060160 1581208320 1607928832 1632215040 1686622208 1691151711 1738301440 1745704992 1828272120 1887248640 1950156928 2009911040 2013065216 2074746880 2085961728 2108277760 2182131240 2254868948 2327606656 2411893248 2437696160 2489696256 2516331520 2529933312 2607452160 2735063040 2818586185 2909508320 2925235392 3014866560 3019597824 3112120320 3162416640 3215857664 3264430080 3373244416 3382303422 3476602880 3491409984 3656544240 3774497280 3900313856 4019822080 4026130432 4149493760 4216555520 4364262480 4509737896 4655213312 4823786496 4875392320 5032663040 5059866624 5214904320 5637172370 5819016640 5850470784 6029733120 6039195648 6224240640 6324833280 6431715328 6746488832 6764606844 6982819968 7313088480 7548994560 7800627712 8039644160 8052260864 8433111040 8455758555 8728524960 9019475792 9310426624 9647572992 9750784640 10065326080 10119733248 10429808640 11274344740 11638033280 11700941568 12059466240 12078391296 12448481280 12649666560 12863430656 13529213688 13965639936 14626176960 15097989120 15601255424 16079288320 16866222080 16911517110 17457049920 18038951584 18620853248 19295145984 19501569280 20130652160 20239466496 22548689480 23276066560 23401883136 24118932480 24156782592 25299333120 25726861312 27058427376 27931279872 29252353920 30195978240 31202510848 32158576640 33732444160 33823034220 34914099840 36077903168 37241706496 38590291968 39003138560 40261304320 45097378960 46552133120 46803766272 48237864960 50598666240 54116854752 55862559744 58504707840 60391956480 62405021696 64317153280 67646068440 69828199680 72155806336 74483412992 77180583936 78006277120 90194757920 93104266240 93607532544 96475729920 101197332480 108233709504 111725119488 117009415680 120783912960 124810043392 128634306560 135292136880 139656399360 144311612672 148966825984 156012554240 180389515840 186208532480 187215065088 192951459840 216467419008 223450238976 234018831360 249620086784 270584273760 279312798720 288623225344 297933651968 312025108480 360779031680 372417064960 374430130176 385902919680 432934838016 446900477952 468037662720 541168547520 558625597440 577246450688 624050216960 721558063360 744834129920 748860260352 865869676032 893800955904 936075325440 1082337095040 1117251194880 1154492901376 1248100433920 1443116126720 1489668259840 1731739352064 1872150650880 2164674190080 2234502389760 2308985802752 2886232253440 3463478704128 3744301301760 4329348380160 4469004779520 4617971605504 5772464506880 6926957408256 8658696760320 9235943211008 11544929013760 13853914816512 17317393520640 23089858027520 27707829633024 34634787041280 46179716055040 69269574082560 138539148165120
- Sum of all divisors σ(n): 471633413529600
- Sum of proper divisors (its aliquot sum) s(n): 333094265364480
- 138539148165120 is an abundant number, because the sum of its proper divisors (333094265364480) is greater than itself. Its abundance is 194555117199360
Bases of 138539148165120
- Binary: 111111000000000001010001011011011000000000000002
- Hexadecimal: 0x7E0028B6C000
- Base-36: 1D3W07UC5C
Squares and roots of 138539148165120
- 138539148165120 squared (1385391481651202) is 19193095574317072262784614400
- 138539148165120 cubed (1385391481651203) is 2658995111517621814371847558515526729728000
-
The
square root of 138539148165120 is 11770265.4245824041 -
The
cube root of 138539148165120 is 51743.7028646767
Scales and comparisons
How big is 138539148165120?- 138,539,148,165,120 seconds is equal to 4,405,116 years, 19 weeks, 6 days, 32 minutes.
-
To count from 1 to 138,539,148,165,120 would take you about eleven million, twelve thousand, seven 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 138539148165120 cubic inches would be around 4312 feet tall.
Recreational maths with 138539148165120
- 138539148165120 backwards is 021561841935831
- The number of decimal digits it has is: 15
- The sum of 138539148165120's digits is 57
- More coming soon!
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The information we have on file for 138539148165120 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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