138435315408
138,435,315,408 is an even composite number composed of five prime numbers multiplied together.
138435315408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138435315408:
24 × 38 × 13 × 192 × 281
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 281)See below for interesting mathematical facts about the number 138435315408 from the Numbermatics database.
Names of 138435315408
- Cardinal: 138435315408 can be written as One hundred thirty-eight billion, four hundred thirty-five million, three hundred fifteen thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38435315408 × 1011
Factors of 138435315408
Divisors of 138435315408
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 81 104 108 114 117 144 152 156 162 171 208 216 228 234 243 247 281 304 312 324 342 351 361 432 456 468 486 494 513 562 624 648 684 702 722 729 741 843 912 936 972 988 1026 1053 1083 1124 1296 1368 1404 1444 1458 1482 1539 1686 1872 1944 1976 2052 2106 2166 2187 2223 2248 2529 2736 2808 2888 2916 2964 3078 3159 3249 3372 3653 3888 3952 4104 4212 4332 4374 4446 4496 4617 4693 5058 5339 5616 5776 5832 5928 6156 6318 6498 6561 6669 6744 7306 7587 8208 8424 8664 8748 8892 9234 9386 9477 9747 10116 10678 10959 11664 11856 12312 12636 12996 13122 13338 13488 13851 14079 14612 15174 16017 16848 17328 17496 17784 18468 18772 18954 19494 20007 20232 21356 21918 22761 24624 25272 25992 26244 26676 27702 28158 28431 29224 29241 30348 32034 32877 34992 35568 36936 37544 37908 38988 40014 40464 41553 42237 42712 43836 45522 48051 50544 51984 52488 53352 55404 56316 56862 58448 58482 60021 60696 64068 65754 68283 69407 73872 75088 75816 77976 80028 83106 84474 85293 85424 87672 87723 91044 96102 98631 101441 104976 106704 110808 112632 113724 116964 120042 121392 124659 126711 128136 131508 136566 138814 144153 151632 155952 160056 166212 168948 170586 175344 175446 180063 182088 192204 197262 202882 204849 208221 221616 225264 227448 233928 240084 249318 253422 256272 263016 263169 273132 277628 288306 295893 304323 320112 332424 337896 341172 350892 360126 364176 380133 384408 394524 405764 409698 416442 432459 454896 467856 480168 498636 506844 526032 526338 540189 546264 555256 576612 591786 608646 614547 624663 664848 675792 682344 701784 720252 760266 768816 789048 789507 811528 819396 832884 864918 887679 912969 960336 997272 1013688 1052676 1080378 1092528 1110512 1140399 1153224 1183572 1217292 1229094 1249326 1297377 1318733 1364688 1403568 1440504 1520532 1578096 1579014 1620567 1623056 1638792 1665768 1729836 1775358 1825938 1843641 1873989 1994544 2027376 2105352 2160756 2280798 2306448 2367144 2368521 2434584 2458188 2498652 2594754 2637466 2663037 2738907 2881008 3041064 3158028 3241134 3277584 3331536 3421197 3459672 3550716 3651876 3687282 3747978 3892131 3956199 4210704 4321512 4561596 4734288 4737042 4869168 4916376 4997304 5189508 5274932 5326074 5477814 5621967 6082128 6316056 6482268 6842394 6919344 7101432 7303752 7374564 7495956 7784262 7912398 7989111 8216721 8643024 9123192 9474084 9832752 9994608 10263591 10379016 10549864 10652148 10955628 11243934 11676393 11868597 12632112 12964536 13684788 14202864 14607504 14749128 14991912 15568524 15824796 15978222 16433442 16865901 18246384 18948168 20527182 20758032 21099728 21304296 21911256 22487868 23352786 23737194 23967333 24650163 25929072 27369576 29498256 29983824 30790773 31137048 31649592 31956444 32866884 33731802 35029179 35605791 37896336 41054364 42608592 43822512 44975736 46705572 47474388 47934666 49300326 50597703 54739152 61581546 62274096 63299184 63912888 65733768 67463604 70058358 71211582 73950489 82108728 89951472 93411144 94948776 95869332 98600652 101195406 106817373 123163092 127825776 131467536 134927208 140116716 142423164 147900978 151793109 164217456 186822288 189897552 191738664 197201304 202390812 213634746 221851467 246326184 269854416 280233432 284846328 295801956 303586218 320452119 383477328 394402608 404781624 427269492 443702934 455379327 492652368 560466864 569692656 591603912 607172436 640904238 665554401 809563248 854538984 887405868 910758654 961356357 1183207824 1214344872 1281808476 1331108802 1709077968 1774811736 1821517308 1922712714 2428689744 2563616952 2662217604 2884069071 3549623472 3643034616 3845425428 5127233904 5324435208 5768138142 7286069232 7690850856 8652207213 10648870416 11536276284 15381701712 17304414426 23072552568 34608828852 46145105136 69217657704 138435315408
- Sum of all divisors σ(n): 458884137348
- Sum of proper divisors (its aliquot sum) s(n): 320448821940
- 138435315408 is an abundant number, because the sum of its proper divisors (320448821940) is greater than itself. Its abundance is 182013506532
Bases of 138435315408
- Binary: 100000001110110110001101000110110100002
- Hexadecimal: 0x203B6346D0
- Base-36: 1RLGT900
Squares and roots of 138435315408
- 138435315408 squared (1384353154082) is 19164336552112442206464
- 138435315408 cubed (1384353154083) is 2653020975176749165533015296397312
-
The
square root of 138435315408 is 372068.9659297051 -
The
cube root of 138435315408 is 5173.0772622675
Scales and comparisons
How big is 138435315408?- 138,435,315,408 seconds is equal to 4,401 years, 42 weeks, 2 days, 14 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,435,315,408 would take you about eight thousand, eight hundred 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 138435315408 cubic inches would be around 431.1 feet tall.
Recreational maths with 138435315408
- 138435315408 backwards is 804513534831
- The number of decimal digits it has is: 12
- The sum of 138435315408's digits is 45
- 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 138435315408 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138435315408 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138435315408/
Chicago style:
Numbermatics. 2024. "Number 138435315408 - Facts about the integer". https://numbermatics.com/n/138435315408/
The information we have on file for 138435315408 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 138435315408, math, Factors of 138435315408, curriculum, school, college, exams, university, Prime factorization of 138435315408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, four hundred thirty-five million, three hundred fifteen thousand, four hundred eight.