131268384
131,268,384 is an even composite number composed of five prime numbers multiplied together.
131268384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131268384:
25 × 33 × 132 × 29 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 29 × 31)See below for interesting mathematical facts about the number 131268384 from the Numbermatics database.
Names of 131268384
- Cardinal: 131268384 can be written as One hundred thirty-one million, two hundred sixty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.31268384 × 108
Factors of 131268384
Divisors of 131268384
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 31 32 36 39 48 52 54 58 62 72 78 87 93 96 104 108 116 117 124 144 156 169 174 186 208 216 232 234 248 261 279 288 312 338 348 351 372 377 403 416 432 464 468 496 507 522 558 624 676 696 702 744 754 783 806 837 864 899 928 936 992 1014 1044 1116 1131 1209 1248 1352 1392 1404 1488 1508 1521 1566 1612 1674 1798 1872 2028 2088 2232 2262 2418 2697 2704 2784 2808 2976 3016 3042 3132 3224 3348 3393 3596 3627 3744 4056 4176 4464 4524 4563 4836 4901 5239 5394 5408 5616 6032 6084 6264 6448 6696 6786 7192 7254 8091 8112 8352 8928 9048 9126 9672 9802 10179 10478 10788 10881 11232 11687 12064 12168 12528 12896 13392 13572 14384 14508 14703 15717 16182 16224 18096 18252 19344 19604 20358 20956 21576 21762 23374 24273 24336 25056 26784 27144 28768 29016 29406 31434 32364 35061 36192 36504 38688 39208 40716 41912 43152 43524 44109 46748 47151 48546 48672 54288 58032 58812 62868 64728 70122 73008 78416 81432 83824 86304 87048 88218 93496 94302 97092 105183 108576 116064 117624 125736 129456 132327 140244 141453 146016 151931 156832 162864 167648 174096 176436 186992 188604 194184 210366 235248 251472 258912 264654 280488 282906 303862 315549 325728 348192 352872 373984 377208 388368 420732 455793 470496 502944 529308 560976 565812 607724 631098 705744 754416 776736 841464 911586 1058616 1121952 1131624 1215448 1262196 1367379 1411488 1508832 1682928 1823172 2117232 2263248 2430896 2524392 2734758 3365856 3646344 4102137 4234464 4526496 4861792 5048784 5469516 7292688 8204274 10097568 10939032 14585376 16408548 21878064 32817096 43756128 65634192 131268384
- Sum of all divisors σ(n): 442713600
- Sum of proper divisors (its aliquot sum) s(n): 311445216
- 131268384 is an abundant number, because the sum of its proper divisors (311445216) is greater than itself. Its abundance is 180176832
Bases of 131268384
- Binary: 1111101001011111111001000002
- Hexadecimal: 0x7D2FF20
- Base-36: 265JC0
Squares and roots of 131268384
- 131268384 squared (1312683842) is 17231388637971456
- 131268384 cubed (1312683843) is 2261936540582474067247104
-
The
square root of 131268384 is 11457.2415528347 -
The
cube root of 131268384 is 508.2219048307
Scales and comparisons
How big is 131268384?- 131,268,384 seconds is equal to 4 years, 9 weeks, 7 hours, 26 minutes, 24 seconds.
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To count from 1 to 131,268,384 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 131268384 cubic inches would be around 42.4 feet tall.
Recreational maths with 131268384
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