442972950
442,972,950 is an even composite number composed of six prime numbers multiplied together.
442972950 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442972950:
2 × 3 × 52 × 7 × 312 × 439
(2 × 3 × 5 × 5 × 7 × 31 × 31 × 439)See below for interesting mathematical facts about the number 442972950 from the Numbermatics database.
Names of 442972950
- Cardinal: 442972950 can be written as Four hundred forty-two million, nine hundred seventy-two thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 4.4297295 × 108
Factors of 442972950
Divisors of 442972950
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 439 465 525 651 775 878 930 961 1050 1085 1302 1317 1550 1922 2170 2195 2325 2634 2883 3073 3255 4390 4650 4805 5425 5766 6146 6510 6585 6727 9219 9610 10850 10975 13170 13454 13609 14415 15365 16275 18438 20181 21950 24025 27218 28830 30730 32550 32925 33635 40362 40827 46095 48050 65850 67270 68045 72075 76825 81654 92190 95263 100905 136090 144150 153650 168175 190526 201810 204135 230475 285789 336350 340225 408270 421879 460950 476315 504525 571578 680450 843758 952630 1009050 1020675 1265637 1428945 2041350 2109395 2381575 2531274 2857890 2953153 4218790 4763150 5906306 6328185 7144725 8859459 10546975 12656370 14289450 14765765 17718918 21093950 29531530 31640925 44297295 63281850 73828825 88594590 147657650 221486475 442972950
- Sum of all divisors σ(n): 1300273920
- Sum of proper divisors (its aliquot sum) s(n): 857300970
- 442972950 is an abundant number, because the sum of its proper divisors (857300970) is greater than itself. Its abundance is 414328020
Bases of 442972950
- Binary: 110100110011100111011000101102
- Hexadecimal: 0x1A673B16
- Base-36: 7BQG46
Squares and roots of 442972950
- 442972950 squared (4429729502) is 196225034431702500
- 442972950 cubed (4429729503) is 86922382366062829947375000
-
The
square root of 442972950 is 21046.9225778971 -
The
cube root of 442972950 is 762.2996768393
Scales and comparisons
How big is 442972950?- 442,972,950 seconds is equal to 14 years, 4 weeks, 3 days, 2 minutes, 30 seconds.
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To count from 1 to 442,972,950 would take you about twenty-one 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 442972950 cubic inches would be around 63.5 feet tall.
Recreational maths with 442972950
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