138648744013824
138,648,744,013,824 is an even composite number composed of four prime numbers multiplied together.
138648744013824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred eighty divisors.
Prime factorization of 138648744013824:
212 × 32 × 113 × 414
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138648744013824 from the Numbermatics database.
Names of 138648744013824
- Cardinal: 138648744013824 can be written as One hundred thirty-eight trillion, six hundred forty-eight billion, seven hundred forty-four million, thirteen thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38648744013824 × 1014
Factors of 138648744013824
Divisors of 138648744013824
- Number of divisors d(n): 780
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 64 66 72 82 88 96 99 121 123 128 132 144 164 176 192 198 242 246 256 264 288 328 352 363 369 384 396 451 484 492 512 528 576 656 704 726 738 768 792 902 968 984 1024 1056 1089 1152 1312 1331 1353 1408 1452 1476 1536 1584 1681 1804 1936 1968 2048 2112 2178 2304 2624 2662 2706 2816 2904 2952 3072 3168 3362 3608 3872 3936 3993 4059 4096 4224 4356 4608 4961 5043 5248 5324 5412 5632 5808 5904 6144 6336 6724 7216 7744 7872 7986 8118 8448 8712 9216 9922 10086 10496 10648 10824 11264 11616 11808 11979 12288 12672 13448 14432 14883 15129 15488 15744 15972 16236 16896 17424 18432 18491 19844 20172 20992 21296 21648 22528 23232 23616 23958 25344 26896 28864 29766 30258 30976 31488 31944 32472 33792 34848 36864 36982 39688 40344 41984 42592 43296 44649 45056 46464 47232 47916 50688 53792 54571 55473 57728 59532 60516 61952 62976 63888 64944 67584 68921 69696 73964 79376 80688 83968 85184 86592 89298 92928 94464 95832 101376 107584 109142 110946 115456 119064 121032 123904 125952 127776 129888 135168 137842 139392 147928 158752 161376 163713 166419 167936 170368 173184 178596 185856 188928 191664 202752 203401 206763 215168 218284 221892 230912 238128 242064 247808 251904 255552 259776 275684 278784 295856 317504 322752 327426 332838 340736 346368 357192 371712 377856 383328 405504 406802 413526 430336 436568 443784 461824 476256 484128 491139 495616 503808 511104 519552 551368 557568 591712 610203 620289 635008 645504 654852 665676 681472 692736 714384 743424 755712 758131 766656 813604 827052 860672 873136 887568 923648 952512 968256 982278 1022208 1039104 1102736 1115136 1183424 1220406 1240578 1270016 1291008 1309704 1331352 1362944 1385472 1428768 1486848 1511424 1516262 1533312 1627208 1654104 1721344 1746272 1775136 1830609 1847296 1905024 1936512 1964556 2044416 2078208 2205472 2230272 2237411 2274393 2366848 2440812 2481156 2540032 2582016 2619408 2662704 2725888 2770944 2825761 2857536 3032524 3066624 3254416 3308208 3442688 3492544 3550272 3661218 3810048 3873024 3929112 4088832 4156416 4410944 4460544 4474822 4548786 4733696 4881624 4962312 5080064 5164032 5238816 5325408 5451776 5541888 5651522 5715072 6065048 6133248 6508832 6616416 6712233 6823179 6885376 6985088 7100544 7322436 7620096 7746048 7858224 8177664 8312832 8339441 8477283 8821888 8949644 9097572 9467392 9763248 9924624 10160128 10328064 10477632 10650816 11303044 11430144 12130096 12266496 13017664 13232832 13424466 13646358 13970176 14201088 14644872 15240192 15492096 15716448 16355328 16625664 16678882 16954566 17643776 17899288 18195144 18934784 19526496 19849248 20136699 20320256 20656128 20955264 21301632 22606088 22860288 24260192 24532992 25018323 25431849 26035328 26465664 26848932 27292716 27940352 28402176 29289744 30480384 30984192 31083371 31432896 33357764 33909132 35287552 35798576 36390288 37869568 39052992 39698496 40273398 41910528 42603264 45212176 45720576 48520384 49065984 50036646 50863698 52070656 52931328 53697864 54585432 55880704 56804352 58579488 60960768 61968384 62166742 62865792 66715528 67818264 70575104 71597152 72780576 75054969 75739136 78105984 79396992 80546796 83821056 85206528 90424352 91441152 91733851 93250113 97040768 100073292 101727396 104141312 105862656 107395728 109170864 111761408 113608704 117158976 124333484 125731584 133431056 135636528 141150208 143194304 145561152 150109938 156211968 158793984 161093592 167642112 170413056 180848704 182882304 183467702 186500226 194081536 200146584 203454792 208282624 211725312 214791456 218341728 223522816 227217408 234317952 248666968 251463168 266862112 271273056 275201553 279750339 282300416 286388608 291122304 300219876 312423936 317587968 322187184 335284224 340826112 341917081 361697408 366935404 373000452 388163072 400293168 406909584 416565248 423450624 429582912 436683456 468635904 497333936 502926336 533724224 542546112 550403106 559500678 572777216 582244608 600439752 624847872 635175936 644374368 670568448 681652224 683834162 723394816 733870808 746000904 776326144 800586336 813819168 825604659 833130496 846901248 859165824 873366912 937271808 994667872 1005852672 1025751243 1067448448 1085092224 1100806212 1119001356 1145554432 1164489216 1200879504 1249695744 1270351872 1288748736 1367668324 1446789632 1467741616 1492001808 1552652288 1601172672 1627638336 1651209318 1718331648 1746733824 1874543616 1989335744 2011705344 2051502486 2134896896 2170184448 2201612424 2238002712 2291108864 2328978432 2401759008 2499391488 2540703744 2577497472 2735336648 2893579264 2935483232 2984003616 3077253729 3105304576 3202345344 3255276672 3302418636 3436663296 3493467648 3749087232 3761087891 3978671488 4103004972 4269793792 4340368896 4403224848 4476005424 4582217728 4657956864 4803518016 5154994944 5470673296 5787158528 5870966464 5968007232 6154507458 6404690688 6510553344 6604837272 6873326592 6986935296 7498174464 7522175782 7957342976 8206009944 8539587584 8680737792 8806449696 8952010848 9164435456 9315913728 9607036032 10309989888 10941346592 11283263673 11574317056 11741932928 11936014464 12309014916 12809381376 13021106688 13209674544 13746653184 13973870592 15044351564 15914685952 16412019888 17079175168 17361475584 17612899392 17904021696 19214072064 20619979776 21882693184 22566527346 23483865856 23872028928 24618029832 25618762752 26042213376 26419349088 27493306368 27947741184 30088703128 31829371904 32824039776 33849791019 34158350336 34722951168 35225798784 35808043392 38428144128 41239959552 43765386368 45133054692 46967731712 47744057856 49236059664 51237525504 52084426752 52838698176 60177406256 63658743808 65648079552 67699582038 70451597568 71616086784 76856288256 82479919104 87530772736 90266109384 93935463424 95488115712 98472119328 102475051008 104168853504 105677396352 120354812512 127317487616 131296159104 135399164076 140903195136 143232173568 153712576512 175061545472 180532218768 187870926848 190976231424 196944238656 211354792704 240709625024 262592318208 270798328152 281806390272 286464347136 307425153024 350123090944 361064437536 375741853696 381952462848 393888477312 422709585408 481419250048 525184636416 541596656304 563612780544 572928694272 700246181888 722128875072 787776954624 845419170816 962838500096 1050369272832 1083193312608 1127225561088 1145857388544 1400492363776 1444257750144 1575553909248 1690838341632 1925677000192 2100738545664 2166386625216 2888515500288 3151107818496 3381676683264 3851354000384 4201477091328 4332773250432 5777031000576 6302215636992 7702708000768 8665546500864 11554062001152 12604431273984 15405416001536 17331093001728 23108124002304 34662186003456 46216248004608 69324372006912 138648744013824
- Sum of all divisors σ(n): 451523796252360
- Sum of proper divisors (its aliquot sum) s(n): 312875052238536
- 138648744013824 is an abundant number, because the sum of its proper divisors (312875052238536) is greater than itself. Its abundance is 174226308224712
Bases of 138648744013824
- Binary: 111111000011001101011010010001010110000000000002
- Hexadecimal: 0x7E19AD22B000
- Base-36: 1D5ACQDQ80
Squares and roots of 138648744013824
- 138648744013824 squared (1386487440138242) is 19223474216610896474303102976
- 138648744013824 cubed (1386487440138243) is 2665310555715230040446582535785828239540224
-
The
square root of 138648744013824 is 11774920.1277046461 -
The
cube root of 138648744013824 is 51757.3437750407
Scales and comparisons
How big is 138648744013824?- 138,648,744,013,824 seconds is equal to 4,408,601 years, 9 weeks, 6 days, 11 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,648,744,013,824 would take you about eleven million, twenty-one thousand, five hundred two 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 138648744013824 cubic inches would be around 4313.1 feet tall.
Recreational maths with 138648744013824
- 138648744013824 backwards is 428310447846831
- The number of decimal digits it has is: 15
- The sum of 138648744013824's digits is 63
- More coming soon!
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The information we have on file for 138648744013824 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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