138815043328
138,815,043,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138815043328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138815043328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138815043328:
28 × 13 × 17 × 19 × 29 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 19 × 29 × 61 × 73)See below for interesting mathematical facts about the number 138815043328 from the Numbermatics database.
Names of 138815043328
- Cardinal: 138815043328 can be written as One hundred thirty-eight billion, eight hundred fifteen million, forty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38815043328 × 1011
Factors of 138815043328
Divisors of 138815043328
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 8 13 16 17 19 26 29 32 34 38 52 58 61 64 68 73 76 104 116 122 128 136 146 152 208 221 232 244 247 256 272 292 304 323 377 416 442 464 488 493 494 544 551 584 608 646 754 793 832 884 928 949 976 986 988 1037 1088 1102 1159 1168 1216 1241 1292 1387 1508 1586 1664 1768 1769 1856 1898 1952 1972 1976 2074 2117 2176 2204 2318 2336 2432 2482 2584 2774 3016 3172 3328 3536 3538 3712 3796 3904 3944 3952 4148 4199 4234 4352 4408 4453 4636 4672 4864 4964 5168 5548 6032 6344 6409 7072 7076 7163 7424 7592 7808 7888 7904 8296 8398 8468 8816 8906 9272 9344 9367 9928 10336 11096 12064 12688 12818 13481 14144 14152 14326 15067 15184 15616 15776 15808 16133 16592 16796 16936 17632 17812 18031 18544 18688 18734 19703 19856 20672 22192 22997 23579 24128 25376 25636 26962 27521 28288 28304 28652 30073 30134 30368 31552 31616 32266 33184 33592 33611 33872 35264 35624 35989 36062 37088 37468 39406 39712 40223 41344 44384 45994 47158 48256 50752 51272 53924 55042 56576 56608 57304 57889 60146 60268 60736 63104 63232 64532 66368 67184 67222 67744 70528 71248 71978 72124 74176 74936 75701 78812 79424 80446 82688 84607 88768 91988 94316 96512 101504 102544 107848 110084 113216 114608 115778 120292 120536 121472 121771 126208 129064 129137 132736 134368 134444 135488 141056 142496 143956 144248 148352 149872 151402 157624 158848 160892 169214 177536 183976 188632 203008 205088 215696 220168 226432 229216 231556 240584 241072 242944 243542 256139 258128 258274 265472 268736 268888 270976 284992 287912 288496 296704 299744 302804 306527 315248 317696 321784 338428 355072 367952 377264 390949 410176 431392 436943 440336 452864 458432 463112 467857 481168 482144 487084 512278 516256 516548 522899 537472 537776 541952 569984 571387 575824 576992 599488 605608 613054 630496 643568 676856 683791 735904 754528 781898 820352 862784 873886 880672 916864 926224 935714 962336 964288 974168 984113 1024556 1032512 1033096 1045798 1074944 1075552 1099891 1139968 1142774 1151648 1153984 1198976 1211216 1226108 1260992 1287136 1353712 1367582 1438319 1471808 1509056 1563796 1640704 1678781 1725568 1747772 1761344 1833728 1852448 1871428 1924672 1928576 1948336 1968226 2049112 2065024 2066192 2091596 2151104 2195329 2199782 2285548 2303296 2307968 2397952 2422432 2452216 2453603 2521984 2574272 2707424 2735164 2876638 2943616 3018112 3127592 3357562 3451136 3495544 3522688 3704896 3742856 3849344 3857152 3896672 3936452 4098224 4130048 4132384 4183192 4302208 4390658 4399564 4571096 4606592 4615936 4844864 4904432 4907206 5043968 5148544 5414848 5470328 5753276 5887232 6036224 6255184 6715124 6991088 7045376 7409792 7428031 7485712 7698688 7793344 7872904 8196448 8264768 8366384 8604416 8781316 8799128 8889283 9142192 9213184 9689728 9808864 9814412 10297088 10829696 10940656 11506552 12510368 13430248 13982176 14819584 14856062 14971424 15586688 15745808 16392896 16529536 16732768 17562632 17598256 17778566 18284384 18698147 19379456 19617728 19628824 21659392 21881312 23013104 25020736 26860496 27964352 28539277 29712124 29942848 31173376 31491616 31896839 32785792 33059072 33465536 35125264 35196512 35557132 36568768 37396294 39235456 39257648 41711251 43762624 46026208 50041472 53720992 55928704 57078554 59424248 59885696 62983232 63793678 65571584 66931072 70250528 70393024 71114264 73137536 74792588 78470912 78515296 83422502 87525248 92052416 100082944 107441984 111857408 114157108 118848496 119771392 125966464 127587356 133862144 140501056 140786048 142228528 146275072 149585176 157030592 166845004 175050496 184104832 214883968 228314216 237696992 251932928 255174712 281002112 281572096 284457056 299170352 314061184 333690008 368209664 429767936 456628432 475393984 510349424 542246263 562004224 568914112 598340704 628122368 667380016 913256864 950787968 1020698848 1084492526 1137828224 1196681408 1334760032 1826513728 1901575936 2041397696 2168985052 2275656448 2393362816 2669520064 3653027456 4082795392 4337970104 4786725632 5339040128 7306054912 8165590784 8675940208 10678080256 17351880416 34703760832 69407521664 138815043328
- Sum of all divisors σ(n): 354483561600
- Sum of proper divisors (its aliquot sum) s(n): 215668518272
- 138815043328 is an abundant number, because the sum of its proper divisors (215668518272) is greater than itself. Its abundance is 76853474944
Bases of 138815043328
- Binary: 100000010100100000010101110111000000002
- Hexadecimal: 0x2052057700
- Base-36: 1RRQW4XS
Squares and roots of 138815043328
- 138815043328 squared (1388150433282) is 19269616254154517315584
- 138815043328 cubed (1388150433283) is 2674912615234392381169719209623552
-
The
square root of 138815043328 is 372578.9088609285 -
The
cube root of 138815043328 is 5177.8028592347
Scales and comparisons
How big is 138815043328?- 138,815,043,328 seconds is equal to 4,413 years, 46 weeks, 1 day, 14 hours, 15 minutes, 28 seconds.
-
To count from 1 to 138,815,043,328 would take you about eight thousand, eight hundred twenty-seven 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 138815043328 cubic inches would be around 431.5 feet tall.
Recreational maths with 138815043328
- 138815043328 backwards is 823340518831
- The number of decimal digits it has is: 12
- The sum of 138815043328's digits is 46
- 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 138815043328 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138815043328 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138815043328/
Chicago style:
Numbermatics. 2024. "Number 138815043328 - Facts about the integer". https://numbermatics.com/n/138815043328/
The information we have on file for 138815043328 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 138815043328, math, Factors of 138815043328, curriculum, school, college, exams, university, Prime factorization of 138815043328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, eight hundred fifteen million, forty-three thousand, three hundred twenty-eight.