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523130521440 = 253523437691433
BaseRepresentation
bin1111001110011010000…
…00100100011101100000
31212000021212100221120210
413213031000210131200
532032332403141230
61040153422334120
752536443031042
oct7471500443540
91760255327523
10523130521440
111919495a561a
128547742a340
133a43c278b57
141b4691a9a92
15d91b625eb0
hex79cd024760

523130521440 has 384 divisors, whose sum is σ = 1763013288960. Its totient is φ = 130072707072.

The previous prime is 523130521439. The next prime is 523130521457. The reversal of 523130521440 is 44125031325.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 523130521398 and 523130521407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365058964 + ... + 365060396.

It is an arithmetic number, because the mean of its divisors is an integer number (4591180440).

Almost surely, 2523130521440 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 523130521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881506644480).

523130521440 is an abundant number, since it is smaller than the sum of its proper divisors (1239882767520).

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

523130521440 is a wasteful number, since it uses less digits than its factorization.

523130521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 523130521440 its reverse (44125031325), we get a palindrome (567255552765).

The spelling of 523130521440 in words is "five hundred twenty-three billion, one hundred thirty million, five hundred twenty-one thousand, four hundred forty".