42138624
42,138,624 is an even composite number composed of five prime numbers multiplied together.
42138624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 42138624:
210 × 3 × 11 × 29 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 29 × 43)See below for interesting mathematical facts about the number 42138624 from the Numbermatics database.
Names of 42138624
- Cardinal: 42138624 can be written as Forty-two million, one hundred thirty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.2138624 × 107
Factors of 42138624
Divisors of 42138624
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 32 33 43 44 48 58 64 66 86 87 88 96 116 128 129 132 172 174 176 192 232 256 258 264 319 344 348 352 384 464 473 512 516 528 638 688 696 704 768 928 946 957 1024 1032 1056 1247 1276 1376 1392 1408 1419 1536 1856 1892 1914 2064 2112 2494 2552 2752 2784 2816 2838 3072 3712 3741 3784 3828 4128 4224 4988 5104 5504 5568 5632 5676 7424 7482 7568 7656 8256 8448 9976 10208 11008 11136 11264 11352 13717 14848 14964 15136 15312 16512 16896 19952 20416 22016 22272 22704 27434 29696 29928 30272 30624 33024 33792 39904 40832 41151 44032 44544 45408 54868 59856 60544 61248 66048 79808 81664 82302 89088 90816 109736 119712 121088 122496 132096 159616 163328 164604 181632 219472 239424 242176 244992 319232 326656 329208 363264 438944 478848 484352 489984 638464 658416 726528 877888 957696 979968 1276928 1316832 1453056 1755776 1915392 2633664 3511552 3830784 5267328 7023104 10534656 14046208 21069312 42138624
- Sum of all divisors σ(n): 129697920
- Sum of proper divisors (its aliquot sum) s(n): 87559296
- 42138624 is an abundant number, because the sum of its proper divisors (87559296) is greater than itself. Its abundance is 45420672
Bases of 42138624
- Binary: 101000001011111100000000002
- Hexadecimal: 0x282FC00
- Base-36: P36DC
Squares and roots of 42138624
- 42138624 squared (421386242) is 1775663632613376
- 42138624 cubed (421386243) is 74824022165169188634624
-
The
square root of 42138624 is 6491.4269617705 -
The
cube root of 42138624 is 347.9846736545
Scales and comparisons
How big is 42138624?- 42,138,624 seconds is equal to 1 year, 17 weeks, 4 days, 17 hours, 10 minutes, 24 seconds.
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To count from 1 to 42,138,624 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 42138624 cubic inches would be around 29 feet tall.
Recreational maths with 42138624
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