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44131131240 = 23357251209311
BaseRepresentation
bin101001000110011010…
…111001111101101000
311012220120111202012020
4221012122321331220
51210340032144430
632135031144440
73121416266130
oct510632717550
9135816452166
1044131131240
1117796967099
128677515120
134213bc7611
1421c90d7ac0
151234510b10
hexa466b9f68

44131131240 has 128 divisors (see below), whose sum is σ = 151910277120. Its totient is φ = 10046880000.

The previous prime is 44131131227. The next prime is 44131131271. The reversal of 44131131240 is 4213113144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44131131240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106185 + ... + 315495.

It is an arithmetic number, because the mean of its divisors is an integer number (1186799040).

Almost surely, 244131131240 is an apocalyptic number.

44131131240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44131131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75955138560).

44131131240 is an abundant number, since it is smaller than the sum of its proper divisors (107779145880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44131131240 is a wasteful number, since it uses less digits than its factorization.

44131131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209583 (or 209579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 44131131240 its reverse (4213113144), we get a palindrome (48344244384).

The spelling of 44131131240 in words is "forty-four billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 753 840 1004 1255 1506 1757 2008 2510 3012 3514 3765 5020 5271 6024 7028 7530 8785 10040 10542 14056 15060 17570 21084 26355 30120 35140 42168 52710 70280 105420 209311 210840 418622 627933 837244 1046555 1255866 1465177 1674488 2093110 2511732 2930354 3139665 4186220 4395531 5023464 5860708 6279330 7325885 8372440 8791062 11721416 12558660 14651770 17582124 21977655 25117320 29303540 35164248 43955310 52537061 58607080 87910620 105074122 157611183 175821240 210148244 262685305 315222366 367759427 420296488 525370610 630444732 735518854 788055915 1050741220 1103278281 1260889464 1471037708 1576111830 1838797135 2101482440 2206556562 2942075416 3152223660 3677594270 4413113124 5516391405 6304447320 7355188540 8826226248 11032782810 14710377080 22065565620 44131131240