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5431041440 = 255112536779
BaseRepresentation
bin1010000111011011…
…10001110110100000
3112000111110111020222
411003231301312200
542110321311230
62254530022212
7251405043026
oct50355616640
915014414228
105431041440
112337754900
121076a17968
1368724b1b6
14397426716
1521bbec6e5
hex143b71da0

5431041440 has 288 divisors, whose sum is σ = 14768490240. Its totient is φ = 1884579840.

The previous prime is 5431041379. The next prime is 5431041481. The reversal of 5431041440 is 441401345.

It is a happy number.

It is a super-2 number, since 2×54310414402 = 58992422245994547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68747321 + ... + 68747399.

It is an arithmetic number, because the mean of its divisors is an integer number (51279480).

Almost surely, 25431041440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

5431041440 is an abundant number, since it is smaller than the sum of its proper divisors (9337448800).

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

5431041440 is a wasteful number, since it uses less digits than its factorization.

5431041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5431041440 is about 73695.5998686489. The cubic root of 5431041440 is about 1757.7659153281.

Adding to 5431041440 its reverse (441401345), we get a palindrome (5872442785).

The spelling of 5431041440 in words is "five billion, four hundred thirty-one million, forty-one thousand, four hundred forty".