42085120
42,085,120 is an even composite number composed of five prime numbers multiplied together.
42085120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 42085120:
28 × 5 × 72 × 11 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 61)See below for interesting mathematical facts about the number 42085120 from the Numbermatics database.
Names of 42085120
- Cardinal: 42085120 can be written as Forty-two million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.208512 × 107
Factors of 42085120
Divisors of 42085120
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 61 64 70 77 80 88 98 110 112 122 128 140 154 160 176 196 220 224 244 245 256 280 305 308 320 352 385 392 427 440 448 488 490 539 560 610 616 640 671 704 770 784 854 880 896 976 980 1078 1120 1220 1232 1280 1342 1408 1540 1568 1708 1760 1792 1952 1960 2135 2156 2240 2440 2464 2684 2695 2816 2989 3080 3136 3355 3416 3520 3904 3920 4270 4312 4480 4697 4880 4928 5368 5390 5978 6160 6272 6710 6832 7040 7808 7840 8540 8624 8960 9394 9760 9856 10736 10780 11956 12320 12544 13420 13664 14080 14945 15616 15680 17080 17248 18788 19520 19712 21472 21560 23485 23912 24640 26840 27328 29890 31360 32879 34160 34496 37576 39040 42944 43120 46970 47824 49280 53680 54656 59780 62720 65758 68320 68992 75152 78080 85888 86240 93940 95648 98560 107360 109312 119560 131516 136640 137984 150304 164395 171776 172480 187880 191296 214720 239120 263032 273280 300608 328790 344960 375760 382592 429440 478240 526064 546560 601216 657580 689920 751520 765184 858880 956480 1052128 1202432 1315160 1503040 1912960 2104256 2630320 3006080 3825920 4208512 5260640 6012160 8417024 10521280 21042560 42085120
- Sum of all divisors σ(n): 130022928
- Sum of proper divisors (its aliquot sum) s(n): 87937808
- 42085120 is an abundant number, because the sum of its proper divisors (87937808) is greater than itself. Its abundance is 45852688
Bases of 42085120
- Binary: 101000001000101011000000002
- Hexadecimal: 0x2822B00
- Base-36: P2134
Squares and roots of 42085120
- 42085120 squared (420851202) is 1771157325414400
- 42085120 cubed (420851203) is 74539368578944073728000
-
The
square root of 42085120 is 6487.3045249933 -
The
cube root of 42085120 is 347.8373309409
Scales and comparisons
How big is 42085120?- 42,085,120 seconds is equal to 1 year, 17 weeks, 4 days, 2 hours, 18 minutes, 40 seconds.
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To count from 1 to 42,085,120 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 42085120 cubic inches would be around 29 feet tall.
Recreational maths with 42085120
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Keywords: Divisors of 42085120, math, Factors of 42085120, curriculum, school, college, exams, university, Prime factorization of 42085120, STEM, science, technology, engineering, physics, economics, calculator, forty-two million, eighty-five thousand, one hundred twenty.