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1314352431 = 32722980391
BaseRepresentation
bin100111001010111…
…0110110100101111
310101121012000120200
41032111312310233
510142433234211
6334231044543
744366545200
oct11625666457
93347160520
101314352431
11614a10487
12308210753
1317c3c1942
14c67b95a7
157a5c7b56
hex4e576d2f

1314352431 has 18 divisors (see below), whose sum is σ = 2208470472. Its totient is φ = 751058280.

The previous prime is 1314352427. The next prime is 1314352453. The reversal of 1314352431 is 1342534131.

It is a happy number.

1314352431 is a `hidden beast` number, since 131 + 4 + 3 + 524 + 3 + 1 = 666.

It is not a de Polignac number, because 1314352431 - 22 = 1314352427 is a prime.

It is a super-2 number, since 2×13143524312 = 3455044625751219522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314352395 and 1314352404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314352031) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1489755 + ... + 1490636.

It is an arithmetic number, because the mean of its divisors is an integer number (122692804).

Almost surely, 21314352431 is an apocalyptic number.

1314352431 is a deficient number, since it is larger than the sum of its proper divisors (894118041).

1314352431 is a wasteful number, since it uses less digits than its factorization.

1314352431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980411 (or 2980401 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1314352431 is about 36253.9988277155. The cubic root of 1314352431 is about 1095.3946385144.

Adding to 1314352431 its reverse (1342534131), we get a palindrome (2656886562).

The spelling of 1314352431 in words is "one billion, three hundred fourteen million, three hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2980391 8941173 20862737 26823519 62588211 146039159 187764633 438117477 1314352431