138343296
138,343,296 is an even composite number composed of six prime numbers multiplied together.
138343296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138343296:
27 × 3 × 7 × 13 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 37 × 107)See below for interesting mathematical facts about the number 138343296 from the Numbermatics database.
Names of 138343296
- Cardinal: 138343296 can be written as One hundred thirty-eight million, three hundred forty-three thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38343296 × 108
Factors of 138343296
Divisors of 138343296
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 64 74 78 84 91 96 104 107 111 112 128 148 156 168 182 192 208 214 222 224 259 273 296 312 321 336 364 384 416 428 444 448 481 518 546 592 624 642 672 728 749 777 832 856 888 896 962 1036 1092 1184 1248 1284 1344 1391 1443 1456 1498 1554 1664 1712 1776 1924 2072 2184 2247 2368 2496 2568 2688 2782 2886 2912 2996 3108 3367 3424 3552 3848 3959 4144 4173 4368 4494 4736 4992 5136 5564 5772 5824 5992 6216 6734 6848 7104 7696 7918 8288 8346 8736 8988 9737 10101 10272 11128 11544 11648 11877 11984 12432 13468 13696 14208 15392 15836 16576 16692 17472 17976 19474 20202 20544 22256 23088 23754 23968 24864 26936 27713 29211 30784 31672 33152 33384 34944 35952 38948 40404 41088 44512 46176 47508 47936 49728 51467 53872 55426 58422 61568 63344 66768 71904 77896 80808 83139 89024 92352 95016 95872 99456 102934 107744 110852 116844 126688 133536 143808 154401 155792 161616 166278 178048 184704 190032 205868 215488 221704 233688 253376 267072 287616 308802 311584 323232 332556 360269 380064 411736 430976 443408 467376 506752 534144 617604 623168 646464 665112 720538 760128 823472 886816 934752 1080807 1235208 1246336 1292928 1330224 1441076 1520256 1646944 1773632 1869504 2161614 2470416 2660448 2882152 3293888 3547264 3739008 4323228 4940832 5320896 5764304 6587776 8646456 9881664 10641792 11528608 17292912 19763328 23057216 34585824 46114432 69171648 138343296
- Sum of all divisors σ(n): 468840960
- Sum of proper divisors (its aliquot sum) s(n): 330497664
- 138343296 is an abundant number, because the sum of its proper divisors (330497664) is greater than itself. Its abundance is 192154368
Bases of 138343296
- Binary: 10000011111011110011100000002
- Hexadecimal: 0x83EF380
- Base-36: 2AD6DC
Squares and roots of 138343296
- 138343296 squared (1383432962) is 19138867548143616
- 138343296 cubed (1383432963) is 2647734018317626518798336
-
The
square root of 138343296 is 11761.9426966807 -
The
cube root of 138343296 is 517.1930808615
Scales and comparisons
How big is 138343296?- 138,343,296 seconds is equal to 4 years, 20 weeks, 5 days, 4 hours, 41 minutes, 36 seconds.
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To count from 1 to 138,343,296 would take you about 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 138343296 cubic inches would be around 43.1 feet tall.
Recreational maths with 138343296
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