138378048
138,378,048 is an even composite number composed of five prime numbers multiplied together.
138378048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 138378048:
26 × 3 × 31 × 67 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 31 × 67 × 347)See below for interesting mathematical facts about the number 138378048 from the Numbermatics database.
Names of 138378048
- Cardinal: 138378048 can be written as One hundred thirty-eight million, three hundred seventy-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38378048 × 108
Factors of 138378048
Divisors of 138378048
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 134 186 192 201 248 268 347 372 402 496 536 694 744 804 992 1041 1072 1388 1488 1608 1984 2077 2082 2144 2776 2976 3216 4154 4164 4288 5552 5952 6231 6432 8308 8328 10757 11104 12462 12864 16616 16656 21514 22208 23249 24924 32271 33232 33312 43028 46498 49848 64542 66464 66624 69747 86056 92996 99696 129084 132928 139494 172112 185992 199392 258168 278988 344224 371984 398784 516336 557976 688448 720719 743968 1032672 1115952 1441438 1487936 2065344 2162157 2231904 2882876 4324314 4463808 5765752 8648628 11531504 17297256 23063008 34594512 46126016 69189024 138378048
- Sum of all divisors σ(n): 384681984
- Sum of proper divisors (its aliquot sum) s(n): 246303936
- 138378048 is an abundant number, because the sum of its proper divisors (246303936) is greater than itself. Its abundance is 107925888
Bases of 138378048
- Binary: 10000011111101111011010000002
- Hexadecimal: 0x83F7B40
- Base-36: 2ADX6O
Squares and roots of 138378048
- 138378048 squared (1383780482) is 19148484168290304
- 138378048 cubed (1383780483) is 2649729861366915764846592
-
The
square root of 138378048 is 11763.4199108933 -
The
cube root of 138378048 is 517.2363837409
Scales and comparisons
How big is 138378048?- 138,378,048 seconds is equal to 4 years, 20 weeks, 5 days, 14 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,378,048 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 138378048 cubic inches would be around 43.1 feet tall.
Recreational maths with 138378048
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