4141200
4,141,200 is an even composite number composed of six prime numbers multiplied together.
4141200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 4141200:
24 × 3 × 52 × 7 × 17 × 29
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 29)See below for interesting mathematical facts about the number 4141200 from the Numbermatics database.
Names of 4141200
- Cardinal: 4141200 can be written as Four million, one hundred forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.1412 × 106
Factors of 4141200
Divisors of 4141200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 29 30 34 35 40 42 48 50 51 56 58 60 68 70 75 80 84 85 87 100 102 105 112 116 119 120 136 140 145 150 168 170 174 175 200 203 204 210 232 238 240 255 272 280 290 300 336 340 348 350 357 400 406 408 420 425 435 464 476 493 510 525 560 580 595 600 609 680 696 700 714 725 812 816 840 850 870 952 986 1015 1020 1050 1160 1190 1200 1218 1275 1360 1392 1400 1428 1450 1479 1624 1680 1700 1740 1785 1904 1972 2030 2040 2100 2175 2320 2380 2436 2465 2550 2800 2856 2900 2958 2975 3045 3248 3400 3451 3480 3570 3944 4060 4080 4200 4350 4760 4872 4930 5075 5100 5712 5800 5916 5950 6090 6800 6902 6960 7140 7395 7888 8120 8400 8700 8925 9520 9744 9860 10150 10200 10353 11600 11832 11900 12180 12325 13804 14280 14790 15225 16240 17255 17400 17850 19720 20300 20400 20706 23664 23800 24360 24650 27608 28560 29580 30450 34510 34800 35700 36975 39440 40600 41412 47600 48720 49300 51765 55216 59160 60900 69020 71400 73950 81200 82824 86275 98600 103530 118320 121800 138040 142800 147900 165648 172550 197200 207060 243600 258825 276080 295800 345100 414120 517650 591600 690200 828240 1035300 1380400 2070600 4141200
- Sum of all divisors σ(n): 16606080
- Sum of proper divisors (its aliquot sum) s(n): 12464880
- 4141200 is an abundant number, because the sum of its proper divisors (12464880) is greater than itself. Its abundance is 8323680
Bases of 4141200
- Binary: 11111100110000100100002
- Hexadecimal: 0x3F3090
- Base-36: 2GRDC
Squares and roots of 4141200
- 4141200 squared (41412002) is 17149537440000
- 4141200 cubed (41412003) is 71019664446528000000
-
The
square root of 4141200 is 2034.9938574845 -
The
cube root of 4141200 is 160.5863899591
Scales and comparisons
How big is 4141200?- 4,141,200 seconds is equal to 6 weeks, 5 days, 22 hours, 20 minutes.
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To count from 1 to 4,141,200 would take you about ten weeks!
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 4141200 cubic inches would be around 13.4 feet tall.
Recreational maths with 4141200
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