138357072
138,357,072 is an even composite number composed of five prime numbers multiplied together.
138357072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 138357072:
24 × 34 × 7 × 101 × 151
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 101 × 151)See below for interesting mathematical facts about the number 138357072 from the Numbermatics database.
Names of 138357072
- Cardinal: 138357072 can be written as One hundred thirty-eight million, three hundred fifty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38357072 × 108
Factors of 138357072
Divisors of 138357072
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 101 108 112 126 144 151 162 168 189 202 216 252 302 303 324 336 378 404 432 453 504 567 604 606 648 707 756 808 906 909 1008 1057 1134 1208 1212 1296 1359 1414 1512 1616 1812 1818 2114 2121 2268 2416 2424 2718 2727 2828 3024 3171 3624 3636 4077 4228 4242 4536 4848 5436 5454 5656 6342 6363 7248 7272 8154 8181 8456 8484 9072 9513 10872 10908 11312 12231 12684 12726 14544 15251 16308 16362 16912 16968 19026 19089 21744 21816 24462 25368 25452 28539 30502 32616 32724 33936 38052 38178 43632 45753 48924 50736 50904 57078 57267 61004 65232 65448 76104 76356 85617 91506 97848 101808 106757 114156 114534 122008 130896 137259 152208 152712 171234 183012 195696 213514 228312 229068 244016 274518 305424 320271 342468 366024 411777 427028 456624 458136 549036 640542 684936 732048 823554 854056 916272 960813 1098072 1235331 1281084 1369872 1647108 1708112 1921626 2196144 2470662 2562168 2882439 3294216 3843252 4941324 5124336 5764878 6588432 7686504 8647317 9882648 11529756 15373008 17294634 19765296 23059512 34589268 46119024 69178536 138357072
- Sum of all divisors σ(n): 465244032
- Sum of proper divisors (its aliquot sum) s(n): 326886960
- 138357072 is an abundant number, because the sum of its proper divisors (326886960) is greater than itself. Its abundance is 188529888
Bases of 138357072
- Binary: 10000011111100101001010100002
- Hexadecimal: 0x83F2950
- Base-36: 2ADH00
Squares and roots of 138357072
- 138357072 squared (1383570722) is 19142679372413184
- 138357072 cubed (1383570723) is 2648525068201885712437248
-
The
square root of 138357072 is 11762.5282996471 -
The
cube root of 138357072 is 517.2102473731
Scales and comparisons
How big is 138357072?- 138,357,072 seconds is equal to 4 years, 20 weeks, 5 days, 8 hours, 31 minutes, 12 seconds.
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To count from 1 to 138,357,072 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 138357072 cubic inches would be around 43.1 feet tall.
Recreational maths with 138357072
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