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5431235040 = 2532571126173
BaseRepresentation
bin1010000111011101…
…00001000111100000
3112000111211022211100
411003232201013200
542110344010130
62254534114400
7251406510330
oct50356410740
915014738740
105431235040
112337877300
121076aaba00
136872b835a
143974770c0
1521bc39c60
hex143ba11e0

5431235040 has 864 divisors, whose sum is σ = 23988339648. Its totient is φ = 1094860800.

The previous prime is 5431235039. The next prime is 5431235041. The reversal of 5431235040 is 405321345.

It is an interprime number because it is at equal distance from previous prime (5431235039) and next prime (5431235041).

It is a junction number, because it is equal to n+sod(n) for n = 5431234995 and 5431235013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431235041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74400444 + ... + 74400516.

It is an arithmetic number, because the mean of its divisors is an integer number (27764282).

Almost surely, 25431235040 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 5431235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994169824).

5431235040 is an abundant number, since it is smaller than the sum of its proper divisors (18557104608).

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

5431235040 is a wasteful number, since it uses less digits than its factorization.

5431235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5431235040 is about 73696.9133682002. The cubic root of 5431235040 is about 1757.7868014044.

Adding to 5431235040 its reverse (405321345), we get a palindrome (5836556385).

It can be divided in two parts, 5431 and 235040, that added together give a triangular number (240471 = T693).

The spelling of 5431235040 in words is "five billion, four hundred thirty-one million, two hundred thirty-five thousand, forty".