138186468
138,186,468 is an even composite number composed of five prime numbers multiplied together.
138186468 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138186468:
22 × 32 × 73 × 192 × 31
(2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 19 × 31)See below for interesting mathematical facts about the number 138186468 from the Numbermatics database.
Names of 138186468
- Cardinal: 138186468 can be written as One hundred thirty-eight million, one hundred eighty-six thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38186468 × 108
Factors of 138186468
Divisors of 138186468
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 49 57 62 63 76 84 93 98 114 124 126 133 147 171 186 196 217 228 252 266 279 294 342 343 361 372 399 434 441 532 558 588 589 651 684 686 722 798 868 882 931 1029 1083 1116 1178 1197 1302 1372 1444 1519 1596 1764 1767 1862 1953 2058 2166 2356 2394 2527 2604 2793 3038 3087 3249 3534 3724 3906 4116 4123 4332 4557 4788 5054 5301 5586 6076 6174 6498 6517 7068 7581 7812 8246 8379 9114 10108 10602 10633 11172 11191 12348 12369 12996 13034 13671 15162 16492 16758 17689 18228 19551 21204 21266 22382 22743 24738 26068 27342 28861 30324 31899 33516 33573 35378 37107 39102 42532 44764 45486 49476 53067 54684 57722 58653 63798 67146 70756 74214 78204 78337 86583 90972 95697 100719 106134 115444 117306 123823 127596 134292 148428 156674 159201 173166 191394 201438 202027 212268 234612 235011 247646 259749 313348 318402 346332 371469 382788 402876 404054 470022 495292 519498 548359 606081 636804 705033 742938 808108 940044 1038996 1096718 1114407 1212162 1410066 1485876 1645077 1818243 2193436 2228814 2424324 2820132 3290154 3636486 3838513 4457628 4935231 6580308 7272972 7677026 9870462 11515539 15354052 19740924 23031078 34546617 46062156 69093234 138186468
- Sum of all divisors σ(n): 443788800
- Sum of proper divisors (its aliquot sum) s(n): 305602332
- 138186468 is an abundant number, because the sum of its proper divisors (305602332) is greater than itself. Its abundance is 167415864
Bases of 138186468
- Binary: 10000011110010001110111001002
- Hexadecimal: 0x83C8EE4
- Base-36: 2A9TD0
Squares and roots of 138186468
- 138186468 squared (1381864682) is 19095499938315024
- 138186468 cubed (1381864683) is 2638739691169971037895232
-
The
square root of 138186468 is 11755.2740503997 -
The
cube root of 138186468 is 516.9975743993
Scales and comparisons
How big is 138186468?- 138,186,468 seconds is equal to 4 years, 20 weeks, 3 days, 9 hours, 7 minutes, 48 seconds.
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To count from 1 to 138,186,468 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 138186468 cubic inches would be around 43.1 feet tall.
Recreational maths with 138186468
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The information we have on file for 138186468 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!
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