138386252424960
138,386,252,424,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138386252424960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138386252424960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138386252424960:
28 × 37 × 5 × 792 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 79 × 79 × 89 × 89)See below for interesting mathematical facts about the number 138386252424960 from the Numbermatics database.
Names of 138386252424960
- Cardinal: 138386252424960 can be written as One hundred thirty-eight trillion, three hundred eighty-six billion, two hundred fifty-two million, four hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3838625242496 × 1014
Factors of 138386252424960
Divisors of 138386252424960
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 79 80 81 89 90 96 108 120 128 135 144 158 160 162 178 180 192 216 237 240 243 256 267 270 288 316 320 324 356 360 384 395 405 432 445 474 480 486 534 540 576 632 640 648 711 712 720 729 768 790 801 810 864 890 948 960 972 1068 1080 1152 1185 1215 1264 1280 1296 1335 1422 1424 1440 1458 1580 1602 1620 1728 1780 1896 1920 1944 2133 2136 2160 2187 2304 2370 2403 2430 2528 2592 2670 2844 2848 2880 2916 3160 3204 3240 3456 3555 3560 3645 3792 3840 3888 4005 4266 4272 4320 4374 4740 4806 4860 5056 5184 5340 5688 5696 5760 5832 6241 6320 6399 6408 6480 6912 7031 7110 7120 7209 7290 7584 7776 7921 8010 8532 8544 8640 8748 9480 9612 9720 10112 10368 10665 10680 10935 11376 11392 11520 11664 12015 12482 12640 12798 12816 12960 14062 14220 14240 14418 14580 15168 15552 15842 16020 17064 17088 17280 17496 18723 18960 19197 19224 19440 20224 20736 21093 21330 21360 21627 21870 22752 22784 23328 23763 24030 24964 25280 25596 25632 25920 28124 28440 28480 28836 29160 30336 31104 31205 31684 31995 32040 34128 34176 34560 34992 35155 36045 37446 37920 38394 38448 38880 39605 42186 42660 42720 43254 43740 45504 46656 47526 48060 49928 50560 51192 51264 51840 56169 56248 56880 56960 57591 57672 58320 60672 62208 62410 63279 63368 63990 64080 64881 68256 68352 69984 70310 71289 72090 74892 75840 76788 76896 77760 79210 84372 85320 85440 86508 87480 91008 93312 93615 95052 95985 96120 99856 101120 102384 102528 103680 105465 108135 112338 112496 113760 113920 115182 115344 116640 118815 124820 126558 126736 127980 128160 129762 136512 139968 140620 142578 144180 149784 151680 153576 153792 155520 158420 168507 168744 170640 170880 172773 173016 174960 182016 186624 187230 189837 190104 191970 192240 194643 199712 204768 205056 210930 213867 216270 224676 224992 227520 230364 230688 233280 237630 249640 253116 253472 255960 256320 259524 273024 279936 280845 281240 285156 287955 288360 299568 303360 307152 307584 311040 316395 316840 324405 337014 337488 341280 341760 345546 346032 349920 356445 374460 379674 380208 383940 384480 389286 399424 409536 421860 427734 432540 449352 449984 455040 460728 461376 466560 475260 499280 505521 506232 506944 511920 512640 519048 546048 555449 559872 561690 562480 569511 570312 575910 576720 599136 614304 615168 625759 632790 633680 641601 648810 674028 674976 682560 691092 692064 699840 712890 748920 759348 760416 767880 768960 778572 798848 819072 842535 843720 855468 863865 865080 898704 899968 910080 921456 922752 933120 949185 950520 973215 998560 1011042 1012464 1013888 1023840 1025280 1038096 1069335 1110898 1123380 1124960 1139022 1140624 1151820 1153440 1198272 1228608 1251518 1265580 1267360 1283202 1297620 1348056 1349952 1365120 1382184 1384128 1399680 1425780 1497840 1516563 1518696 1520832 1535760 1537920 1557144 1597696 1638144 1666347 1685070 1687440 1708533 1710936 1727730 1730160 1797408 1799936 1842912 1845504 1877277 1898370 1901040 1924803 1946430 1997120 2022084 2024928 2027776 2047680 2076192 2138670 2221796 2246760 2249920 2278044 2281248 2303640 2306880 2396544 2457216 2503036 2527605 2531160 2534720 2566404 2595240 2696112 2699904 2730240 2764368 2768256 2777245 2799360 2847555 2851560 2995680 3033126 3037392 3041664 3071520 3075840 3114288 3128795 3208005 3332694 3370140 3374880 3417066 3421872 3455460 3460320 3594816 3685824 3754554 3796740 3802080 3849606 3892860 3994240 4044168 4049856 4095360 4152384 4277340 4443592 4493520 4499840 4549689 4556088 4562496 4607280 4613760 4793088 4914432 4999041 5006072 5055210 5062320 5069440 5125599 5132808 5190480 5392224 5399808 5528736 5536512 5554490 5631831 5695110 5703120 5774409 5991360 6066252 6074784 6083328 6143040 6228576 6257590 6416010 6665388 6740280 6749760 6834132 6843744 6910920 6920640 7189632 7371648 7509108 7582815 7593480 7604160 7699212 7785720 7988480 8088336 8099712 8190720 8304768 8331735 8542665 8554680 8887184 8987040 8999680 9099378 9112176 9124992 9214560 9227520 9386385 9624015 9998082 10012144 10110420 10124640 10138880 10251198 10265616 10380960 10784448 11057472 11108980 11263662 11390220 11406240 11548818 11982720 12132504 12149568 12286080 12457152 12515180 12832020 13330776 13480560 13499520 13649067 13668264 13687488 13821840 13841280 14379264 14743296 14997123 15018216 15165630 15186960 15208320 15376797 15398424 15571440 16176672 16199424 16609536 16663470 16895493 17085330 17109360 17323227 17774368 17974080 18198756 18224352 18249984 18429120 18772770 19248030 19996164 20024288 20220840 20249280 20502396 20531232 20761920 21568896 22114944 22217960 22527324 22748445 22780440 22812480 23097636 23965440 24265008 24299136 24572160 24914304 24995205 25030360 25627995 25664040 26661552 26961120 26999040 27298134 27336528 27374976 27643680 27682560 28159155 28872045 29994246 30036432 30331260 30373920 30416640 30753594 30796848 31142880 32353344 33326940 33790986 34170660 34218720 34646454 35548736 35948160 36397512 36448704 36858240 37545540 38496060 39992328 40048576 40441680 40498560 41004792 41062464 41523840 43137792 44229888 44435920 44991369 45054648 45496890 45560880 45624960 46195272 48530016 48598272 49434961 49828608 49990410 50060720 50686479 51255990 51328080 53323104 53922240 54596268 54673056 54749952 55287360 56318310 57744090 59988492 60072864 60662520 60747840 61507188 61593696 62285760 64706688 66653880 67581972 68245335 68341320 68437440 69292908 71097472 71896320 72795024 72897408 73716480 74985615 75091080 76883985 76992120 79984656 80097152 80883360 80997120 82009584 82124928 83047680 84477465 86616135 88871840 89982738 90109296 90993780 91121760 91249920 92390544 97060032 98869922 99980820 100121440 101372958 102511980 102656160 106646208 107844480 109192536 109346112 110574720 112636620 115488180 119976984 120145728 121325040 121495680 123014376 123187392 124571520 129413376 133307760 134974107 135163944 136490670 136682640 136874880 138585816 142194944 145590048 145794816 148304883 149971230 150182160 152059437 153767970 153984240 159969312 160194304 161766720 164019168 164249856 168954930 173232270 177743680 179965476 180218592 181987560 182243520 184781088 194120064 197739844 199961640 200242880 202745916 205023960 205312320 213292416 215688960 218385072 218692224 221149440 224956845 225273240 230976360 239953968 240291456 242650080 242991360 246028752 246374784 247174805 249143040 253432395 266615520 269948214 270327888 272981340 273365280 273749760 277171632 291180096 296609766 299942460 300364320 304118874 307535940 307968480 319938624 323533440 328038336 337909860 346464540 355487360 359930952 360437184 363975120 364487040 369562176 388240128 395479688 399923280 400485760 404922321 405491832 410047920 410624640 426584832 436770144 437384448 444914649 449913690 450546480 456178311 461952720 479907936 480582912 485300160 492057504 492749568 494349610 506864790 533231040 539896428 540655776 545962680 546730560 554343264 582360192 593219532 599884920 600728640 608237748 615071880 615936960 639877248 647066880 656076672 674870535 675819720 692929080 710974720 719861904 720874368 727950240 728974080 739124352 741524415 760297185 790959376 799846560 800971520 809844642 810983664 820095840 821249280 873540288 889829298 899827380 901092960 912356622 923905440 959815872 970600320 984115008 988699220 1013729580 1066462080 1079792856 1081311552 1091925360 1093461120 1108686528 1164720384 1186439064 1199769840 1201457280 1214766963 1216475496 1230143760 1231873920 1279754496 1312153344 1334743947 1349741070 1351639440 1368534933 1385858160 1439723808 1441748736 1455900480 1478248704 1483048830 1520594370 1581918752 1599693120 1619689284 1621967328 1640191680 1747080576 1779658596 1799654760 1802185920 1824713244 1847810880 1919631744 1941200640 1968230016 1977398440 2024611605 2027459160 2132924160 2159585712 2162623104 2183850720 2186922240 2217373056 2224573245 2280891555 2372878128 2399539680 2402914560 2429533926 2432950992 2460287520 2463747840 2669487894 2699482140 2703278880 2737069866 2771716320 2879447616 2911800960 2966097660 3041188740 3163837504 3199386240 3239378568 3243934656 3280383360 3494161152 3559317192 3599309520 3604371840 3649426488 3695621760 3839263488 3936460032 3954796880 4004231841 4049223210 4054918320 4319171424 4325246208 4367701440 4434746112 4449146490 4561783110 4745756256 4799079360 4859067852 4865901984 4920575040 5338975788 5398964280 5406557760 5474139732 5543432640 5758895232 5823601920 5932195320 6073834815 6082377480 6327675008 6398772480 6478757136 6487869312 6560766720 6673719735 6842674665 7118634384 7198619040 7208743680 7298852976 7391243520 7909593760 8008463682 8098446420 8109836640 8638342848 8735402880 8898292980 9123566220 9491512512 9598158720 9718135704 9731803968 9841150080 10677951576 10797928560 10813115520 10948279464 11086865280 11517790464 11864390640 12012695523 12147669630 12164754960 12655350016 12957514272 12975738624 13347439470 13685349330 14237268768 14397238080 14597705952 15819187520 16016927364 16196892840 16219673280 17276685696 17470805760 17796585960 18247132440 18983025024 19196317440 19436271408 19463607936 19682300160 20021159205 21355903152 21595857120 21626231040 21896558928 22173730560 23728781280 24025391046 24295339260 24329509920 25915028544 26694878940 27370698660 28474537536 28794476160 29195411904 31638375040 32033854728 32393785680 32439346560 34553371392 35593171920 36038086569 36494264880 37966050048 38872542816 38927215872 40042318410 42711806304 43191714240 43793117856 47457562560 48050782092 48590678520 48659019840 51830057088 53389757880 54741397320 56949075072 57588952320 58390823808 60063477615 63276750080 64067709456 64787571360 64878693120 71186343840 72076173138 72988529760 77745085632 80084636820 85423612608 86383428480 87586235712 94915125120 96101564184 97181357040 97318039680 103660114176 106779515760 108114259707 109482794640 113898150144 116781647616 120126955230 128135418912 129575142720 142372687680 144152346276 145977059520 155490171264 160169273640 170847225216 172766856960 175172471424 180190432845 189830250240 192203128368 194362714080 194636079360 213559031520 216228519414 218965589280 240253910460 256270837824 259150285440 284745375360 288304692552 291954119040 310980342528 320338547280 341694450432 350344942848 360380865690 384406256736 388725428160 427118063040 432457038828 437931178560 480507820920 512541675648 518300570880 540571298535 569490750720 576609385104 583908238080 640677094560 720761731380 768812513472 777450856320 854236126080 864914077656 875862357120 961015641840 1025083351296 1081142597070 1153218770208 1281354189120 1441523462760 1537625026944 1554901712640 1708472252160 1729828155312 1751724714240 1922031283680 2162285194140 2306437540416 2562708378240 2883046925520 3075250053888 3459656310624 3844062567360 4324570388280 4612875080832 5125416756480 5766093851040 6919312621248 7688125134720 8649140776560 9225750161664 11532187702080 13838625242496 15376250269440 17298281553120 23064375404160 27677250484992 34596563106240 46128750808320 69193126212480 138386252424960
- Sum of all divisors σ(n): 509235317750880
- Sum of proper divisors (its aliquot sum) s(n): 370849065325920
- 138386252424960 is an abundant number, because the sum of its proper divisors (370849065325920) is greater than itself. Its abundance is 232462812900960
Bases of 138386252424960
- Binary: 111110111011100100011110110101011100111000000002
- Hexadecimal: 0x7DDC8F6AE700
- Base-36: 1D1XRLO000
Squares and roots of 138386252424960
- 138386252424960 squared (1383862524249602) is 19150754860224747480431001600
- 138386252424960 cubed (1383862524249603) is 2650201196215591466864398345313961639936000
-
The
square root of 138386252424960 is 11763768.6319036383 -
The
cube root of 138386252424960 is 51724.6605842071
Scales and comparisons
How big is 138386252424960?- 138,386,252,424,960 seconds is equal to 4,400,254 years, 40 weeks, 9 hours, 36 minutes.
-
To count from 1 to 138,386,252,424,960 would take you about eleven million, six hundred thirty-six 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 138386252424960 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138386252424960
- 138386252424960 backwards is 069424252683831
- The number of decimal digits it has is: 15
- The sum of 138386252424960's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 138386252424960 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138386252424960/
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The information we have on file for 138386252424960 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 138386252424960, math, Factors of 138386252424960, curriculum, school, college, exams, university, Prime factorization of 138386252424960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-six billion, two hundred fifty-two million, four hundred twenty-four thousand, nine hundred sixty.