42153840
42,153,840 is an even composite number composed of five prime numbers multiplied together.
42153840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 42153840:
24 × 32 × 5 × 127 × 461
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 127 × 461)See below for interesting mathematical facts about the number 42153840 from the Numbermatics database.
Names of 42153840
- Cardinal: 42153840 can be written as Forty-two million, one hundred fifty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.215384 × 107
Factors of 42153840
Divisors of 42153840
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 461 508 635 720 762 922 1016 1143 1270 1383 1524 1844 1905 2032 2286 2305 2540 2766 3048 3688 3810 4149 4572 4610 5080 5532 5715 6096 6915 7376 7620 8298 9144 9220 10160 11064 11430 13830 15240 16596 18288 18440 20745 22128 22860 27660 30480 33192 36880 41490 45720 55320 58547 66384 82980 91440 110640 117094 165960 175641 234188 292735 331920 351282 468376 526923 585470 702564 878205 936752 1053846 1170940 1405128 1756410 2107692 2341880 2634615 2810256 3512820 4215384 4683760 5269230 7025640 8430768 10538460 14051280 21076920 42153840
- Sum of all divisors σ(n): 142990848
- Sum of proper divisors (its aliquot sum) s(n): 100837008
- 42153840 is an abundant number, because the sum of its proper divisors (100837008) is greater than itself. Its abundance is 58683168
Bases of 42153840
- Binary: 101000001100110111011100002
- Hexadecimal: 0x2833770
- Base-36: P3I40
Squares and roots of 42153840
- 42153840 squared (421538402) is 1776946226745600
- 42153840 cubed (421538403) is 74905106930837743104000
-
The
square root of 42153840 is 6492.5988633213 -
The
cube root of 42153840 is 348.0265536615
Scales and comparisons
How big is 42153840?- 42,153,840 seconds is equal to 1 year, 17 weeks, 4 days, 21 hours, 24 minutes.
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To count from 1 to 42,153,840 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 42153840 cubic inches would be around 29 feet tall.
Recreational maths with 42153840
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