42007284
42,007,284 is an even composite number composed of six prime numbers multiplied together.
42007284 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42007284:
22 × 32 × 11 × 37 × 47 × 61
(2 × 2 × 3 × 3 × 11 × 37 × 47 × 61)See below for interesting mathematical facts about the number 42007284 from the Numbermatics database.
Names of 42007284
- Cardinal: 42007284 can be written as Forty-two million, seven thousand, two hundred eighty-four.
Scientific notation
- Scientific notation: 4.2007284 × 107
Factors of 42007284
Divisors of 42007284
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 33 36 37 44 47 61 66 74 94 99 111 122 132 141 148 183 188 198 222 244 282 333 366 396 407 423 444 517 549 564 666 671 732 814 846 1034 1098 1221 1332 1342 1551 1628 1692 1739 2013 2068 2196 2257 2442 2684 2867 3102 3478 3663 4026 4514 4653 4884 5217 5734 6039 6204 6771 6956 7326 8052 8601 9028 9306 10434 11468 12078 13542 14652 15651 17202 18612 19129 20313 20868 24156 24827 25803 27084 31302 31537 34404 38258 40626 49654 51606 57387 62604 63074 74481 76516 81252 94611 99308 103212 106079 114774 126148 148962 172161 189222 212158 223443 229548 283833 297924 318237 344322 378444 424316 446886 567666 636474 688644 893772 954711 1135332 1166869 1272948 1909422 2333738 3500607 3818844 4667476 7001214 10501821 14002428 21003642 42007284
- Sum of all divisors σ(n): 123492096
- Sum of proper divisors (its aliquot sum) s(n): 81484812
- 42007284 is an abundant number, because the sum of its proper divisors (81484812) is greater than itself. Its abundance is 39477528
Bases of 42007284
- Binary: 101000000011111010111101002
- Hexadecimal: 0x280FAF4
- Base-36: P0D10
Squares and roots of 42007284
- 42007284 squared (420072842) is 1764611909056656
- 42007284 cubed (420072843) is 74126553613525120682304
-
The
square root of 42007284 is 6481.3026468449 -
The
cube root of 42007284 is 347.6227580715
Scales and comparisons
How big is 42007284?- 42,007,284 seconds is equal to 1 year, 17 weeks, 3 days, 4 hours, 41 minutes, 24 seconds.
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To count from 1 to 42,007,284 would take you about two 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 42007284 cubic inches would be around 29 feet tall.
Recreational maths with 42007284
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The information we have on file for 42007284 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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