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14315404609 = 1127321492
BaseRepresentation
bin11010101010100001…
…11011110101000001
31100221122221220100201
431111100323311001
5213304220421414
610324300445201
71014514634332
oct152520736501
940848856321
1014315404609
116086744400
122936249801
131471a7151c
1499b33a289
1558bb86574
hex35543bd41

14315404609 has 27 divisors (see below), whose sum is σ = 16061406249. Its totient is φ = 12749584320.

The previous prime is 14315404601. The next prime is 14315404613. The reversal of 14315404609 is 90640451341.

The square root of 14315404609 is 119647.

It is a perfect power (a square), and thus also a powerful number.

14315404609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1854594225 + 12460810384 = 43065^2 + 111628^2 .

It is not a de Polignac number, because 14315404609 - 23 = 14315404601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14315404601) 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 26 ways as a sum of consecutive naturals, for example, 96076467 + ... + 96076615.

Almost surely, 214315404609 is an apocalyptic number.

14315404609 is the 119647-th square number.

14315404609 is the 59824-th centered octagonal number.

It is an amenable number.

14315404609 is a deficient number, since it is larger than the sum of its proper divisors (1746001640).

14315404609 is an frugal number, since it uses more digits than its factorization.

14315404609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 14315404609 in words is "fourteen billion, three hundred fifteen million, four hundred four thousand, six hundred nine".

Divisors: 1 11 73 121 149 803 1639 5329 8833 10877 18029 22201 58619 119647 244211 644809 794021 1316117 1620673 2686321 8734231 17827403 96076541 118309129 196101433 1301400419 14315404609