138507731414208
138,507,731,414,208 is an even composite number composed of five prime numbers multiplied together.
What does the number 138507731414208 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138507731414208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138507731414208:
26 × 35 × 133 × 37 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 37 × 331 × 331)See below for interesting mathematical facts about the number 138507731414208 from the Numbermatics database.
Names of 138507731414208
- Cardinal: 138507731414208 can be written as One hundred thirty-eight trillion, five hundred seven billion, seven hundred thirty-one million, four hundred fourteen thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38507731414208 × 1014
Factors of 138507731414208
Divisors of 138507731414208
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 81 96 104 108 111 117 144 148 156 162 169 192 208 216 222 234 243 288 296 312 324 331 333 338 351 416 432 444 468 481 486 507 576 592 624 648 662 666 676 702 832 864 888 936 962 972 993 999 1014 1053 1184 1248 1296 1324 1332 1352 1404 1443 1521 1728 1776 1872 1924 1944 1986 1998 2028 2106 2197 2368 2496 2592 2648 2664 2704 2808 2886 2979 2997 3042 3159 3552 3744 3848 3888 3972 3996 4056 4212 4303 4329 4394 4563 5184 5296 5328 5408 5616 5772 5958 5994 6084 6253 6318 6591 7104 7488 7696 7776 7944 7992 8112 8424 8606 8658 8788 8937 8991 9126 10592 10656 10816 11232 11544 11916 11988 12168 12247 12506 12636 12909 12987 13182 13689 15392 15552 15888 15984 16224 16848 17212 17316 17576 17874 17982 18252 18759 19773 21184 21312 22464 23088 23832 23976 24336 24494 25012 25272 25818 25974 26364 26811 27378 30784 31776 31968 32448 33696 34424 34632 35152 35748 35964 36504 36741 37518 38727 38961 39546 41067 46176 47664 47952 48672 48988 50024 50544 51636 51948 52728 53622 54756 55939 56277 59319 63552 63936 67392 68848 69264 70304 71496 71928 73008 73482 75036 77454 77922 79092 80433 81289 82134 92352 95328 95904 97344 97976 100048 101088 103272 103896 105456 107244 109512 109561 110223 111878 112554 116181 116883 118638 137696 138528 140608 142992 143856 146016 146964 150072 154908 155844 158184 159211 160866 162578 164268 167817 168831 177957 190656 191808 195952 200096 202176 206544 207792 210912 214488 219024 219122 220446 223756 225108 232362 233766 237276 243867 275392 277056 285984 287712 292032 293928 300144 309816 311688 316368 318422 321732 325156 328536 328683 330669 335634 337662 348543 355914 391904 400192 413088 415584 421824 428976 438048 438244 440892 447512 450216 464724 467532 474552 477633 487734 503451 506493 533871 571968 575424 587856 600288 619632 623376 632736 636844 643464 650312 657072 657366 661338 671268 675324 697086 711828 727207 731601 783808 826176 831168 857952 876096 876488 881784 895024 900432 929448 935064 949104 955266 975468 986049 992007 1006902 1012986 1045629 1067742 1175712 1200576 1239264 1246752 1265472 1273688 1286928 1300624 1314144 1314732 1322676 1342536 1350648 1394172 1423656 1424293 1432899 1454414 1463202 1510353 1519479 1715904 1752976 1763568 1790048 1800864 1858896 1870128 1898208 1910532 1950936 1972098 1984014 2013804 2025972 2069743 2091258 2135484 2181621 2194803 2351424 2478528 2493504 2547376 2573856 2601248 2628288 2629464 2645352 2685072 2701296 2788344 2847312 2848586 2865798 2908828 2926404 2958147 2976021 3020706 3038958 3505952 3527136 3580096 3601728 3717792 3740256 3796416 3821064 3901872 3944196 3968028 4027608 4051944 4053757 4139486 4182516 4270968 4272879 4298697 4363242 4389606 4531059 5094752 5147712 5202496 5258928 5290704 5370144 5402592 5576688 5694624 5697172 5731596 5817656 5852808 5916294 5952042 6041412 6077916 6209229 6544863 6584409 7011904 7054272 7435584 7480512 7642128 7803744 7888392 7936056 8055216 8103888 8107514 8278972 8365032 8541936 8545758 8597394 8726484 8779212 8874441 9062118 10189504 10517856 10581408 10740288 10805184 11153376 11389248 11394344 11463192 11635312 11705616 11832588 11904084 12082824 12155832 12161271 12418458 12818637 12896091 13089726 13168818 13593177 15284256 15607488 15776784 15872112 16110432 16207776 16215028 16557944 16730064 17083872 17091516 17194788 17452968 17558424 17748882 18124236 18515809 18627687 19634589 19753227 21035712 21162816 22306752 22788688 22926384 23270624 23411232 23665176 23808168 24165648 24311664 24322542 24836916 25637274 25792182 26179452 26337636 26623323 26906659 27186354 30568512 31553568 31744224 32220864 32415552 32430056 33115888 33460128 34167744 34183032 34389576 34905936 35116848 35497764 36248472 36483813 37031618 37255374 38455911 38688273 39269178 39506454 45577376 45852768 46541248 46822464 47330352 47616336 48331296 48623328 48645084 49673832 51274548 51584364 52358904 52675272 52698841 53246646 53813318 54372708 55547427 55883061 58903767 63107136 63488448 64860112 66231776 66920256 68366064 68779152 69811872 70233696 70995528 72496944 72967626 74063236 74510748 76911822 77376546 78538356 79012908 80719977 91154752 91705536 94660704 95232672 96662592 97246656 97290168 99347664 102549096 103168728 104717808 105350544 105397682 106493292 107626636 108745416 109451439 111094854 111766122 115367733 117807534 129720224 132463552 136732128 137558304 139623744 140467392 141991056 144993888 145935252 148126472 149021496 153823644 154753092 157076712 158025816 158096523 161439954 166642281 167649183 176711301 189321408 190465344 194580336 198695328 205098192 206337456 209435616 210701088 210795364 212986584 215253272 217490832 218902878 222189708 223532244 230735466 235615068 240705517 242159931 259440448 273464256 275116608 283982112 289987776 291870504 296252944 298042992 307647288 309506184 314153424 316051632 316193046 322879908 328354317 333284562 335298366 346103199 353422602 389160672 397390656 410196384 412674912 418871232 421402176 421590728 425973168 430506544 434981664 437805756 444379416 447064488 461470932 471230136 474289569 481411034 484319862 499926843 502947549 567964224 583741008 592505888 596085984 615294576 619012368 628306848 632103264 632386092 645759816 656708634 666569124 670596732 685084933 692206398 706845204 722116551 726479793 778321344 820392768 825349824 843181456 851946336 861013088 869963328 875611512 888758832 894128976 922941864 942460272 948579138 962822068 968639724 985062951 999853686 1005895098 1167482016 1185011776 1192171968 1230589152 1238024736 1256613696 1264206528 1264772184 1291519632 1313417268 1333138248 1341193464 1370169866 1384412796 1413690408 1422868707 1444233102 1452959586 1499780529 1686362912 1703892672 1722026176 1751223024 1777517664 1788257952 1845883728 1884920544 1897158276 1925644136 1937279448 1970125902 1999707372 2011790196 2055254799 2166349653 2179439379 2334964032 2461178304 2476049472 2529544368 2583039264 2626834536 2666276496 2682386928 2740339732 2768825592 2827380816 2845737414 2888466204 2905919172 2999561058 3372725824 3502446048 3555035328 3576515904 3691767456 3769841088 3794316552 3851288272 3874558896 3940251804 3999414744 4023580392 4110509598 4268606121 4332699306 4358878758 4499341587 5059088736 5166078528 5253669072 5332552992 5364773856 5480679464 5537651184 5654761632 5691474828 5776932408 5811838344 5999122116 6165764397 6499048959 6538318137 7004892096 7383534912 7588633104 7702576544 7749117792 7880503608 7998829488 8047160784 8221019196 8537212242 8665398612 8717757516 8906104129 8998683174 10118177472 10507338144 10665105984 10729547712 10961358928 11075302368 11309523264 11382949656 11553864816 11623676688 11998244232 12331528794 12805818363 12998097918 13076636274 15177266208 15405153088 15498235584 15761007216 15997658976 16094321568 16442038392 17074424484 17330797224 17435515032 17812208258 17997366348 18497293191 19497146877 21014676288 21922717856 22150604736 22765899312 23107729632 23247353376 23996488464 24663057588 25611636726 25996195836 26153272548 26718312387 30354532416 31522014432 31995317952 32188643136 32884076784 34148848968 34661594448 34871030064 35624416516 35994732696 36994586382 38994293754 43845435712 45531798624 46215459264 46494706752 47992976928 49326115176 51223273452 51992391672 52306545096 53436624774 55491879573 58491440631 63044028864 65768153568 68297697936 69323188896 69742060128 71248833032 71989465392 73989172764 77988587508 80154937161 91063597248 95985953856 98652230352 102446546904 103984783344 104613090192 106873249548 110983759146 116982881262 131536307136 136595395872 138646377792 139484120256 142497666064 143978930784 147978345528 155977175016 160309874322 166475638719 197304460704 204893093808 207969566688 209226180384 213746499096 221967518292 233965762524 240464811483 273190791744 284995332128 287957861568 295956691056 311954350032 320619748644 332951277438 394608921408 409786187616 415939133376 418452360768 427492998192 443935036584 467931525048 480929622966 569990664256 591913382112 623908700064 641239497288 665902554876 721394434449 819572375232 854985996384 887870073168 935863050096 961859245932 1183826764224 1247817400128 1282478994576 1331805109752 1442788868898 1709971992768 1775740146336 1871726100192 1923718491864 2164183303347 2564957989152 2663610219504 2885577737796 3551480292672 3743452200384 3847436983728 4328366606694 5129915978304 5327220439008 5771155475592 7694873967456 8656733213388 10654440878016 11542310951184 15389747934912 17313466426776 23084621902368 34626932853552 46169243804736 69253865707104 138507731414208
- Sum of all divisors σ(n): 459447283145760
- Sum of proper divisors (its aliquot sum) s(n): 320939551731552
- 138507731414208 is an abundant number, because the sum of its proper divisors (320939551731552) is greater than itself. Its abundance is 182431820317344
Bases of 138507731414208
- Binary: 111110111111000110110000010000100101100110000002
- Hexadecimal: 0x7DF8D8212CC0
- Base-36: 1D3HKN4C00
Squares and roots of 138507731414208
- 138507731414208 squared (1385077314142082) is 19184391661510381655664267264
- 138507731414208 cubed (1385077314142083) is 2657186567597451497400973121343602798886912
-
The
square root of 138507731414208 is 11768930.7676699331 -
The
cube root of 138507731414208 is 51739.7912340591
Scales and comparisons
How big is 138507731414208?- 138,507,731,414,208 seconds is equal to 4,404,117 years, 22 weeks, 1 day, 5 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,507,731,414,208 would take you about eleven million, ten thousand, two hundred ninety-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 138507731414208 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138507731414208
- 138507731414208 backwards is 802414137705831
- 138507731414208 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138507731414208's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138507731414208 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 138507731414208 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138507731414208/
Chicago style:
Numbermatics. 2024. "Number 138507731414208 - Facts about the integer". https://numbermatics.com/n/138507731414208/
The information we have on file for 138507731414208 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 138507731414208, math, Factors of 138507731414208, curriculum, school, college, exams, university, Prime factorization of 138507731414208, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred seven billion, seven hundred thirty-one million, four hundred fourteen thousand, two hundred eight.