138406968
138,406,968 is an even composite number composed of four prime numbers multiplied together.
138406968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138406968:
23 × 35 × 72 × 1453
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 1453)See below for interesting mathematical facts about the number 138406968 from the Numbermatics database.
Names of 138406968
- Cardinal: 138406968 can be written as One hundred thirty-eight million, four hundred six thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38406968 × 108
Factors of 138406968
Divisors of 138406968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1453 1512 1701 1764 1944 2268 2646 2906 3402 3528 3969 4359 4536 5292 5812 6804 7938 8718 10171 10584 11624 11907 13077 13608 15876 17436 20342 23814 26154 30513 31752 34872 39231 40684 47628 52308 61026 71197 78462 81368 91539 95256 104616 117693 122052 142394 156924 183078 213591 235386 244104 274617 284788 313848 353079 366156 427182 470772 549234 569576 640773 706158 732312 823851 854364 941544 1098468 1281546 1412316 1647702 1708728 1922319 2196936 2471553 2563092 2824632 3295404 3844638 4943106 5126184 5766957 6590808 7689276 9886212 11533914 15378552 17300871 19772424 23067828 34601742 46135656 69203484 138406968
- Sum of all divisors σ(n): 452513880
- Sum of proper divisors (its aliquot sum) s(n): 314106912
- 138406968 is an abundant number, because the sum of its proper divisors (314106912) is greater than itself. Its abundance is 175699944
Bases of 138406968
- Binary: 10000011111111101100001110002
- Hexadecimal: 0x83FEC38
- Base-36: 2AEJI0
Squares and roots of 138406968
- 138406968 squared (1384069682) is 19156488790953024
- 138406968 cubed (1384069683) is 2651391531081793882271232
-
The
square root of 138406968 is 11764.6490810393 -
The
cube root of 138406968 is 517.2724141047
Scales and comparisons
How big is 138406968?- 138,406,968 seconds is equal to 4 years, 20 weeks, 5 days, 22 hours, 22 minutes, 48 seconds.
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To count from 1 to 138,406,968 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 138406968 cubic inches would be around 43.1 feet tall.
Recreational maths with 138406968
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