42198240
42,198,240 is an even composite number composed of six prime numbers multiplied together.
42198240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42198240:
25 × 3 × 5 × 7 × 19 × 661
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 661)See below for interesting mathematical facts about the number 42198240 from the Numbermatics database.
Names of 42198240
- Cardinal: 42198240 can be written as Forty-two million, one hundred ninety-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.219824 × 107
Factors of 42198240
Divisors of 42198240
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 56 57 60 70 76 80 84 95 96 105 112 114 120 133 140 152 160 168 190 210 224 228 240 266 280 285 304 336 380 399 420 456 480 532 560 570 608 661 665 672 760 798 840 912 1064 1120 1140 1322 1330 1520 1596 1680 1824 1983 1995 2128 2280 2644 2660 3040 3192 3305 3360 3966 3990 4256 4560 4627 5288 5320 6384 6610 7932 7980 9120 9254 9915 10576 10640 12559 12768 13220 13881 15864 15960 18508 19830 21152 21280 23135 25118 26440 27762 31728 31920 37016 37677 39660 46270 50236 52880 55524 62795 63456 63840 69405 74032 75354 79320 87913 92540 100472 105760 111048 125590 138810 148064 150708 158640 175826 185080 188385 200944 222096 251180 263739 277620 301416 317280 351652 370160 376770 401888 439565 444192 502360 527478 555240 602832 703304 740320 753540 879130 1004720 1054956 1110480 1205664 1318695 1406608 1507080 1758260 2009440 2109912 2220960 2637390 2813216 3014160 3516520 4219824 5274780 6028320 7033040 8439648 10549560 14066080 21099120 42198240
- Sum of all divisors σ(n): 160151040
- Sum of proper divisors (its aliquot sum) s(n): 117952800
- 42198240 is an abundant number, because the sum of its proper divisors (117952800) is greater than itself. Its abundance is 75754560
Bases of 42198240
- Binary: 101000001111100100111000002
- Hexadecimal: 0x283E4E0
- Base-36: P4GDC
Squares and roots of 42198240
- 42198240 squared (421982402) is 1780691459097600
- 42198240 cubed (421982403) is 75142045556950708224000
-
The
square root of 42198240 is 6496.0172413563 -
The
cube root of 42198240 is 348.1487011487
Scales and comparisons
How big is 42198240?- 42,198,240 seconds is equal to 1 year, 17 weeks, 5 days, 9 hours, 44 minutes.
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To count from 1 to 42,198,240 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 42198240 cubic inches would be around 29 feet tall.
Recreational maths with 42198240
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