138152327913753120
138,152,327,913,753,120 is an even composite number composed of six prime numbers multiplied together.
138152327913753120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138152327913753120:
25 × 34 × 5 × 112 × 727 × 121180691
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 727 × 121180691)See below for interesting mathematical facts about the number 138152327913753120 from the Numbermatics database.
Names of 138152327913753120
- Cardinal: 138152327913753120 can be written as One hundred thirty-eight quadrillion, one hundred fifty-two trillion, three hundred twenty-seven billion, nine hundred thirteen million, seven hundred fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3815232791375312 × 1017
Factors of 138152327913753120
Divisors of 138152327913753120
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 81 88 90 96 99 108 110 120 121 132 135 144 160 162 165 176 180 198 216 220 240 242 264 270 288 297 324 330 352 360 363 396 405 432 440 480 484 495 528 540 594 605 648 660 720 726 727 792 810 864 880 891 968 990 1056 1080 1089 1188 1210 1296 1320 1440 1452 1454 1485 1584 1620 1760 1782 1815 1936 1980 2160 2178 2181 2376 2420 2592 2640 2904 2908 2970 3168 3240 3267 3564 3630 3635 3872 3960 4320 4356 4362 4455 4752 4840 5280 5445 5808 5816 5940 6480 6534 6543 7128 7260 7270 7920 7997 8712 8724 8910 9504 9680 9801 10890 10905 11616 11632 11880 12960 13068 13086 14256 14520 14540 15840 15994 16335 17424 17448 17820 19360 19602 19629 21780 21810 23264 23760 23991 26136 26172 28512 29040 29080 31988 32670 32715 34848 34896 35640 39204 39258 39985 43560 43620 47520 47982 49005 52272 52344 58080 58160 58887 63976 65340 65430 69792 71280 71973 78408 78516 79970 87120 87240 87967 95964 98010 98145 104544 104688 116320 117774 119955 127952 130680 130860 142560 143946 156816 157032 159940 174240 174480 175934 191928 196020 196290 209376 215919 235548 239910 255904 261360 261720 263901 287892 294435 313632 314064 319880 348960 351868 359865 383856 392040 392580 431838 439835 471096 479820 522720 523440 527802 575784 588870 628128 639760 647757 703736 719730 767712 784080 785160 791703 863676 879670 942192 959640 1046880 1055604 1079595 1151568 1177740 1279520 1295514 1319505 1407472 1439460 1568160 1570320 1583406 1727352 1759340 1884384 1919280 2111208 2159190 2303136 2355480 2375109 2591028 2639010 2814944 2878920 3140640 3166812 3238785 3454704 3518680 3838560 3958515 4222416 4318380 4710960 4750218 5182056 5278020 5757840 6333624 6477570 6909408 7037360 7125327 7917030 8444832 8636760 9421920 9500436 10364112 10556040 11515680 11875545 12667248 12955140 14074720 14250654 15834060 17273520 19000872 20728224 21112080 23751090 25334496 25910280 28501308 31668120 34547040 35626635 38001744 42224160 47502180 51820560 57002616 63336240 71253270 76003488 95004360 103641120 114005232 121180691 126672480 142506540 190008720 228010464 242361382 285013080 363542073 380017440 484722764 570026160 605903455 727084146 969445528 1090626219 1140052320 1211806910 1332987601 1454168292 1817710365 1938891056 2181252438 2423613820 2665975202 2908336584 3271878657 3635420730 3877782112 3998962803 4362504876 4847227640 5331950404 5453131095 5816673168 6543757314 6664938005 7270841460 7997925606 8725009752 9694455280 9815635971 10663900808 10906262190 11633346336 11996888409 13087514628 13329876010 14541682920 14662863611 15995851212 16359393285 17450019504 19388910560 19631271942 19994814015 21327801616 21812524380 23993776818 26175029256 26659752020 29083365840 29325727222 31991702424 32718786570 34900039008 35990665227 39262543884 39989628030 42655603232 43625048760 43988590833 47987553636 49078179855 52350058512 53319504040 58166731680 58651454444 59984442045 63983404848 65437573140 71981330454 73314318055 78525087768 79979256060 87250097520 87977181666 88098362357 95975107272 98156359710 104700117024 106639008080 107971995681 117302908888 119968884090 127966809696 130875146280 131965772499 143962660908 146628636110 157050175536 159958512120 174500195040 175954363332 176196724714 179953326135 191950214544 196312719420 213278016160 215943991362 219942954165 234605817776 239937768180 261750292560 263931544998 264295087071 287925321816 293257272220 314100351072 319917024240 351908726664 352393449428 359906652270 383900429088 392625438840 395897317497 431887982724 439885908330 440491811785 469211635552 479875536360 523500585120 527863089996 528590174142 539859978405 575850643632 586514544440 639834048480 659828862495 703817453328 704786898856 719813304540 785250877680 791794634994 792885261213 863775965448 879771816660 880983623570 959751072720 969081985927 1055726179992 1057180348284 1079719956810 1151701287264 1173029088880 1187691952491 1319657724990 1321475435355 1407634906656 1409573797712 1439626609080 1570501755360 1583589269988 1585770522426 1727551930896 1759543633320 1761967247140 1919502145440 1938163971854 1979486587485 2111452359984 2114360696568 2159439913620 2346058177760 2375383904982 2378655783639 2639315449980 2642950870710 2819147595424 2879253218160 2907245957781 3167178539976 3171541044852 3455103861792 3519087266640 3523934494280 3876327943708 3958973174970 3964426306065 4222904719968 4228721393136 4318879827240 4750767809964 4757311567278 4845409929635 5278630899960 5285901741420 5758506436320 5814491915562 5938459762455 6334357079952 6343082089704 7038174533280 7047868988560 7135967350917 7752655887416 7917946349940 7928852612130 8457442786272 8637759654480 8721737873343 9501535619928 9514623134556 9690819859270 10557261799920 10571803482840 10659901845197 11628983831124 11876919524910 11893278918195 12668714159904 12686164179408 14095737977120 14271934701834 14536229788905 15505311774832 15835892699880 15857705224260 17275519308960 17443475746686 19003071239856 19029246269112 19381639718540 21114523599840 21143606965680 21319803690394 23257967662248 23753839049820 23786557836390 25372328358816 26165213620029 28543869403668 29072459577810 31010623549664 31671785399760 31715410448520 31979705535591 34886951493372 35679836754585 38006142479712 38058492538224 38763279437080 42287213931360 42639607380788 43608689366715 46515935324496 47507678099640 47573115672780 52330427240058 53299509225985 57087738807336 58144919155620 63343570799520 63430820897040 63959411071182 69773902986744 71359673509170 76116985076448 77526558874160 78495640860087 85279214761576 87217378733430 93031870648992 95015356199280 95146231345560 95939116606773 104660854480116 106599018451970 114175477614672 116289838311240 126861641794080 127918822142364 130826068100145 139547805973488 142719347018340 155053117748320 156991281720174 159898527677955 170558429523152 174434757466860 190030712398560 190292462691120 191878233213546 209321708960232 213198036903940 228350955229344 232579676622480 255837644284728 261652136200290 279095611946976 285438694036680 287817349820319 313982563440348 319797055355910 341116859046304 348869514933720 380584925382240 383756466427092 392478204300435 418643417920464 426396073807880 465159353244960 479695583033865 511675288569456 523304272400580 570877388073360 575634699640638 627965126880696 639594110711820 697739029867440 767512932854184 784956408600870 837286835840928 852792147615760 863452049460957 959391166067730 1023350577138912 1046608544801160 1141754776146720 1151269399281276 1255930253761392 1279188221423640 1395478059734880 1439086749101595 1535025865708368 1569912817201740 1705584295231520 1726904098921914 1918782332135460 2093217089602320 2302538798562552 2511860507522784 2558376442847280 2878173498203190 3070051731416736 3139825634403480 3453808197843828 3837564664270920 4186434179204640 4317260247304785 4605077597125104 5116752885694560 5756346996406380 6279651268806960 6907616395687656 7675129328541840 8634520494609570 9210155194250208 11512693992812760 12559302537613920 13815232791375312 15350258657083680 17269040989219140 23025387985625520 27630465582750624 34538081978438280 46050775971251040 69076163956876560 138152327913753120
- Sum of all divisors σ(n): 536653070599149504
- Sum of proper divisors (its aliquot sum) s(n): 398500742685396384
- 138152327913753120 is an abundant number, because the sum of its proper divisors (398500742685396384) is greater than itself. Its abundance is 260348414771643264
Bases of 138152327913753120
- Binary: 1111010101101000011001111011011100011000101001010001000002
- Hexadecimal: 0x1EAD0CF6E314A20
- Base-36: 11SAWVA4G200
Squares and roots of 138152327913753120
- 138152327913753120 squared (1381523279137531202) is 19086065707989169497965244309734400
- 138152327913753120 cubed (1381523279137531203) is 2636784408273558346141432821487891751530854371328000
-
The
square root of 138152327913753120 is 371688482.3528341723 -
The
cube root of 138152327913753120 is 516954.9947464303
Scales and comparisons
How big is 138152327913753120?- 138,152,327,913,753,120 seconds is equal to 4,392,816,694 years, 23 weeks, 2 days, 13 hours, 12 minutes.
-
To count from 1 to 138,152,327,913,753,120 would take you about thirteen billion, one hundred seventy-eight million, four hundred fifty thousand and eighty-three 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 138152327913753120 cubic inches would be around 43079.6 feet tall.
Recreational maths with 138152327913753120
- 138152327913753120 backwards is 021357319723251831
- The number of decimal digits it has is: 18
- The sum of 138152327913753120's digits is 63
- More coming soon!
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The information we have on file for 138152327913753120 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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