138090216
138,090,216 is an even composite number composed of six prime numbers multiplied together.
138090216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138090216:
23 × 3 × 11 × 37 × 67 × 211
(2 × 2 × 2 × 3 × 11 × 37 × 67 × 211)See below for interesting mathematical facts about the number 138090216 from the Numbermatics database.
Names of 138090216
- Cardinal: 138090216 can be written as One hundred thirty-eight million, ninety thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38090216 × 108
Factors of 138090216
Divisors of 138090216
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 8 11 12 22 24 33 37 44 66 67 74 88 111 132 134 148 201 211 222 264 268 296 402 407 422 444 536 633 737 804 814 844 888 1221 1266 1474 1608 1628 1688 2211 2321 2442 2479 2532 2948 3256 4422 4642 4884 4958 5064 5896 6963 7437 7807 8844 9284 9768 9916 13926 14137 14874 15614 17688 18568 19832 23421 27269 27852 28274 29748 31228 42411 46842 54538 55704 56548 59496 62456 81807 84822 85877 93684 109076 113096 155507 163614 169644 171754 187368 218152 257631 311014 327228 339288 343508 466521 515262 523069 622028 654456 687016 933042 1030524 1046138 1244056 1569207 1866084 2061048 2092276 3138414 3732168 4184552 5753759 6276828 11507518 12553656 17261277 23015036 34522554 46030072 69045108 138090216
- Sum of all divisors σ(n): 394421760
- Sum of proper divisors (its aliquot sum) s(n): 256331544
- 138090216 is an abundant number, because the sum of its proper divisors (256331544) is greater than itself. Its abundance is 118241328
Bases of 138090216
- Binary: 10000011101100010110111010002
- Hexadecimal: 0x83B16E8
- Base-36: 2A7R3C
Squares and roots of 138090216
- 138090216 squared (1380902162) is 19068907754926656
- 138090216 cubed (1380902163) is 2633229590761896991197696
-
The
square root of 138090216 is 11751.1793450701 -
The
cube root of 138090216 is 516.8775105239
Scales and comparisons
How big is 138090216?- 138,090,216 seconds is equal to 4 years, 20 weeks, 2 days, 6 hours, 23 minutes, 36 seconds.
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To count from 1 to 138,090,216 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 138090216 cubic inches would be around 43.1 feet tall.
Recreational maths with 138090216
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