42638688
42,638,688 is an even composite number composed of five prime numbers multiplied together.
42638688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42638688:
25 × 32 × 23 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 41 × 157)See below for interesting mathematical facts about the number 42638688 from the Numbermatics database.
Names of 42638688
- Cardinal: 42638688 can be written as Forty-two million, six hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2638688 × 107
Factors of 42638688
Divisors of 42638688
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 123 138 144 157 164 184 207 246 276 288 314 328 368 369 414 471 492 552 628 656 736 738 828 942 943 984 1104 1256 1312 1413 1476 1656 1884 1886 1968 2208 2512 2826 2829 2952 3312 3611 3768 3772 3936 5024 5652 5658 5904 6437 6624 7222 7536 7544 8487 10833 11304 11316 11808 12874 14444 15072 15088 16974 19311 21666 22608 22632 25748 28888 30176 32499 33948 38622 43332 45216 45264 51496 57776 57933 64998 67896 77244 86664 90528 102992 115552 115866 129996 135792 148051 154488 173328 205984 231732 259992 271584 296102 308976 346656 444153 463464 519984 592204 617952 888306 926928 1039968 1184408 1332459 1776612 1853856 2368816 2664918 3553224 4737632 5329836 7106448 10659672 14212896 21319344 42638688
- Sum of all divisors σ(n): 130437216
- Sum of proper divisors (its aliquot sum) s(n): 87798528
- 42638688 is an abundant number, because the sum of its proper divisors (87798528) is greater than itself. Its abundance is 45159840
Bases of 42638688
- Binary: 101000101010011101011000002
- Hexadecimal: 0x28A9D60
- Base-36: PDW80
Squares and roots of 42638688
- 42638688 squared (426386882) is 1818057714361344
- 42638688 cubed (426386883) is 77519595648646466076672
-
The
square root of 42638688 is 6529.8306256747 -
The
cube root of 42638688 is 349.3557891411
Scales and comparisons
How big is 42638688?- 42,638,688 seconds is equal to 1 year, 18 weeks, 3 days, 12 hours, 4 minutes, 48 seconds.
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To count from 1 to 42,638,688 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 42638688 cubic inches would be around 29.1 feet tall.
Recreational maths with 42638688
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The information we have on file for 42638688 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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