381138366
381,138,366 is an even composite number composed of six prime numbers multiplied together.
381138366 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 381138366:
2 × 3 × 72 × 19 × 312 × 71
(2 × 3 × 7 × 7 × 19 × 31 × 31 × 71)See below for interesting mathematical facts about the number 381138366 from the Numbermatics database.
Names of 381138366
- Cardinal: 381138366 can be written as Three hundred eighty-one million, one hundred thirty-eight thousand, three hundred sixty-six.
Scientific notation
- Scientific notation: 3.81138366 × 108
Factors of 381138366
Divisors of 381138366
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 14 19 21 31 38 42 49 57 62 71 93 98 114 133 142 147 186 213 217 266 294 399 426 434 497 589 651 798 931 961 994 1178 1302 1349 1491 1519 1767 1862 1922 2201 2698 2793 2883 2982 3038 3479 3534 4047 4123 4402 4557 5586 5766 6603 6727 6958 8094 8246 9114 9443 10437 12369 13206 13454 15407 18259 18886 20181 20874 24738 28329 28861 30814 36518 40362 41819 46221 47089 54777 56658 57722 66101 68231 83638 86583 92442 94178 107849 109554 125457 127813 132202 136462 141267 173166 198303 204693 215698 250914 255626 282534 292733 323547 383439 396606 409386 477617 585466 647094 766878 878199 894691 955234 1296389 1432851 1756398 1789382 2049131 2592778 2684073 2865702 3343319 3889167 4098262 5368146 6147393 6686638 7778334 9074723 10029957 12294786 18149446 20059914 27224169 54448338 63523061 127046122 190569183 381138366
- Sum of all divisors σ(n): 978065280
- Sum of proper divisors (its aliquot sum) s(n): 596926914
- 381138366 is an abundant number, because the sum of its proper divisors (596926914) is greater than itself. Its abundance is 215788548
Bases of 381138366
- Binary: 101101011011110110101101111102
- Hexadecimal: 0x16B7B5BE
- Base-36: 6AX48U
Squares and roots of 381138366
- 381138366 squared (3811383662) is 145266454037149956
- 381138366 cubed (3811383663) is 55366618926333437526811896
-
The
square root of 381138366 is 19522.7653266641 -
The
cube root of 381138366 is 725.0382007617
Scales and comparisons
How big is 381138366?- 381,138,366 seconds is equal to 12 years, 6 weeks, 1 day, 7 hours, 46 minutes, 6 seconds.
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To count from 1 to 381,138,366 would take you about eighteen 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 381138366 cubic inches would be around 60.4 feet tall.
Recreational maths with 381138366
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