42146720
42,146,720 is an even composite number composed of five prime numbers multiplied together.
42146720 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 42146720:
25 × 5 × 7 × 112 × 311
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 311)See below for interesting mathematical facts about the number 42146720 from the Numbermatics database.
Names of 42146720
- Cardinal: 42146720 can be written as Forty-two million, one hundred forty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.214672 × 107
Factors of 42146720
Divisors of 42146720
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 311 352 385 440 484 560 605 616 622 770 847 880 968 1120 1210 1232 1244 1540 1555 1694 1760 1936 2177 2420 2464 2488 3080 3110 3388 3421 3872 4235 4354 4840 4976 6160 6220 6776 6842 8470 8708 9680 9952 10885 12320 12440 13552 13684 16940 17105 17416 19360 21770 23947 24880 27104 27368 33880 34210 34832 37631 43540 47894 49760 54736 67760 68420 69664 75262 87080 95788 109472 119735 135520 136840 150524 174160 188155 191576 239470 263417 273680 301048 348320 376310 383152 478940 526834 547360 602096 752620 766304 957880 1053668 1204192 1317085 1505240 1915760 2107336 2634170 3010480 3831520 4214672 5268340 6020960 8429344 10536680 21073360 42146720
- Sum of all divisors σ(n): 125483904
- Sum of proper divisors (its aliquot sum) s(n): 83337184
- 42146720 is an abundant number, because the sum of its proper divisors (83337184) is greater than itself. Its abundance is 41190464
Bases of 42146720
- Binary: 101000001100011011101000002
- Hexadecimal: 0x2831BA0
- Base-36: P3CM8
Squares and roots of 42146720
- 42146720 squared (421467202) is 1776346006758400
- 42146720 cubed (421467203) is 74867157769964392448000
-
The
square root of 42146720 is 6492.0505235251 -
The
cube root of 42146720 is 348.0069580675
Scales and comparisons
How big is 42146720?- 42,146,720 seconds is equal to 1 year, 17 weeks, 4 days, 19 hours, 25 minutes, 20 seconds.
-
To count from 1 to 42,146,720 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 42146720 cubic inches would be around 29 feet tall.
Recreational maths with 42146720
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