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3149999413 = 1121011132281
BaseRepresentation
bin1011101111000001…
…0010110100110101
322010112021112211221
42323300102310311
522422344440123
61240323230341
7141026360521
oct27360226465
98115245757
103149999413
111377102200
1273ab183b1
133b27b30a2
1421c4d0d81
1513682325d
hexbbc12d35

3149999413 has 24 divisors (see below), whose sum is σ = 3529167768. Its totient is φ = 2808960000.

The previous prime is 3149999389. The next prime is 3149999441.

It is a happy number.

3149999413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 502073649 + 2647925764 = 22407^2 + 51458^2 .

It is a de Polignac number, because none of the positive numbers 2k-3149999413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149999453) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1379833 + ... + 1382113.

It is an arithmetic number, because the mean of its divisors is an integer number (147048657).

Almost surely, 23149999413 is an apocalyptic number.

It is an amenable number.

3149999413 is a deficient number, since it is larger than the sum of its proper divisors (379168355).

3149999413 is a wasteful number, since it uses less digits than its factorization.

3149999413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2506 counting only the distinct ones).

The product of its digits is 944784, while the sum is 52.

The square root of 3149999413 is about 56124.8555721972. The cubic root of 3149999413 is about 1465.8971178220.

The spelling of 3149999413 in words is "three billion, one hundred forty-nine million, nine hundred ninety-nine thousand, four hundred thirteen".

Divisors: 1 11 101 113 121 1111 1243 2281 11413 12221 13673 25091 125543 230381 257753 276001 1380973 2534191 2835283 26033053 27876101 31188113 286363583 3149999413