242589984
242,589,984 is an even composite number composed of five prime numbers multiplied together.
242589984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 242589984:
25 × 3 × 72 × 13 × 3967
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 3967)See below for interesting mathematical facts about the number 242589984 from the Numbermatics database.
Names of 242589984
- Cardinal: 242589984 can be written as Two hundred forty-two million, five hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.42589984 × 108
Factors of 242589984
Divisors of 242589984
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 3967 4368 4704 5096 7644 7934 8736 10192 11901 15288 15868 20384 23802 27769 30576 31736 47604 51571 55538 61152 63472 83307 95208 103142 111076 126944 154713 166614 190416 194383 206284 222152 309426 333228 360997 380832 388766 412568 444304 583149 618852 666456 721994 777532 825136 888608 1082991 1166298 1237704 1332912 1443988 1555064 1650272 2165982 2332596 2475408 2526979 2665824 2887976 3110128 4331964 4665192 4950816 5053958 5775952 6220256 7580937 8663928 9330384 10107916 11551904 15161874 17327856 18660768 20215832 30323748 34655712 40431664 60647496 80863328 121294992 242589984
- Sum of all divisors σ(n): 797948928
- Sum of proper divisors (its aliquot sum) s(n): 555358944
- 242589984 is an abundant number, because the sum of its proper divisors (555358944) is greater than itself. Its abundance is 312768960
Bases of 242589984
- Binary: 11100111010110100001001000002
- Hexadecimal: 0xE75A120
- Base-36: 40FJMO
Squares and roots of 242589984
- 242589984 squared (2425899842) is 58849900337120256
- 242589984 cubed (2425899843) is 14276396381183597509115904
-
The
square root of 242589984 is 15575.3004465407 -
The
cube root of 242589984 is 623.6739749885
Scales and comparisons
How big is 242589984?- 242,589,984 seconds is equal to 7 years, 37 weeks, 18 hours, 6 minutes, 24 seconds.
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To count from 1 to 242,589,984 would take you about eleven 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 242589984 cubic inches would be around 52 feet tall.
Recreational maths with 242589984
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