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531141144 = 23322130881
BaseRepresentation
bin11111101010001…
…001001000011000
31101000102202200020
4133222021020120
52041433004034
6124412110440
716106424312
oct3752111030
91330382606
10531141144
112528a7226
12129a65420
1386069601
14507807b2
153196a249
hex1fa89218

531141144 has 16 divisors (see below), whose sum is σ = 1327852920. Its totient is φ = 177047040.

The previous prime is 531141137. The next prime is 531141161. The reversal of 531141144 is 441141135.

It is a happy number.

It is a super-2 number, since 2×5311411442 = 564221829699257472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 22130881 = 531141144 / (5 + 3 + 1 + 1 + 4 + 1 + 1 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11065417 + ... + 11065464.

Almost surely, 2531141144 is an apocalyptic number.

It is an amenable number.

531141144 is an abundant number, since it is smaller than the sum of its proper divisors (796711776).

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

531141144 is a wasteful number, since it uses less digits than its factorization.

531141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130890 (or 22130886 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 531141144 is about 23046.4996040614. The cubic root of 531141144 is about 809.8476287081.

Adding to 531141144 its reverse (441141135), we get a palindrome (972282279).

Subtracting from 531141144 its reverse (441141135), we obtain a palindrome (90000009).

The spelling of 531141144 in words is "five hundred thirty-one million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 22130881 44261762 66392643 88523524 132785286 177047048 265570572 531141144