42011200
42,011,200 is an even composite number composed of five prime numbers multiplied together.
42011200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 42011200:
26 × 52 × 7 × 112 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 31)See below for interesting mathematical facts about the number 42011200 from the Numbermatics database.
Names of 42011200
- Cardinal: 42011200 can be written as Forty-two million, eleven thousand, two hundred.
Scientific notation
- Scientific notation: 4.20112 × 107
Factors of 42011200
Divisors of 42011200
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 50 55 56 62 64 70 77 80 88 100 110 112 121 124 140 154 155 160 175 176 200 217 220 224 242 248 275 280 308 310 320 341 350 352 385 400 434 440 448 484 496 550 560 605 616 620 682 700 704 770 775 800 847 868 880 968 992 1085 1100 1120 1210 1232 1240 1364 1400 1540 1550 1600 1694 1705 1736 1760 1925 1936 1984 2170 2200 2240 2387 2420 2464 2480 2728 2800 3025 3080 3100 3388 3410 3472 3520 3751 3850 3872 4235 4340 4400 4774 4840 4928 4960 5425 5456 5600 6050 6160 6200 6776 6820 6944 7502 7700 7744 8470 8525 8680 8800 9548 9680 9920 10850 10912 11200 11935 12100 12320 12400 13552 13640 13888 15004 15400 16940 17050 17360 17600 18755 19096 19360 21175 21700 21824 23870 24200 24640 24800 26257 27104 27280 30008 30800 33880 34100 34720 37510 38192 38720 42350 43400 47740 48400 49600 52514 54208 54560 59675 60016 61600 67760 68200 69440 75020 76384 84700 86800 93775 95480 96800 105028 109120 119350 120032 123200 131285 135520 136400 150040 152768 169400 173600 187550 190960 193600 210056 238700 240064 262570 271040 272800 300080 338800 347200 375100 381920 420112 477400 525140 545600 600160 656425 677600 750200 763840 840224 954800 1050280 1200320 1312850 1355200 1500400 1680448 1909600 2100560 2625700 3000800 3819200 4201120 5251400 6001600 8402240 10502800 21005600 42011200
- Sum of all divisors σ(n): 134046976
- Sum of proper divisors (its aliquot sum) s(n): 92035776
- 42011200 is an abundant number, because the sum of its proper divisors (92035776) is greater than itself. Its abundance is 50024576
Bases of 42011200
- Binary: 101000000100001010010000002
- Hexadecimal: 0x2810A40
- Base-36: P0G1S
Squares and roots of 42011200
- 42011200 squared (420112002) is 1764940925440000
- 42011200 cubed (420112003) is 74147286206844928000000
-
The
square root of 42011200 is 6481.6047395687 -
The
cube root of 42011200 is 347.6335597571
Scales and comparisons
How big is 42011200?- 42,011,200 seconds is equal to 1 year, 17 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
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To count from 1 to 42,011,200 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 42011200 cubic inches would be around 29 feet tall.
Recreational maths with 42011200
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