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314728854049 = 312180972
BaseRepresentation
bin1001001010001110100…
…11010011001000100001
31010002100222212100010001
410211013103103020201
520124031041312144
6400330123340001
731511163055651
oct4450723231041
91102328770101
10314728854049
11111526262355
1250bb6081601
13238a944036c
1411339344361
1582c07b3bd4
hex49474d3221

314728854049 has 9 divisors (see below), whose sum is σ = 325226870451. Its totient is φ = 304559480160.

The previous prime is 314728854047. The next prime is 314728854107. The reversal of 314728854049 is 940458827413.

The square root of 314728854049 is 561007.

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

It can be written as a sum of positive squares in only one way, i.e., 41166381025 + 273562473024 = 202895^2 + 523032^2 .

It is not a de Polignac number, because 314728854049 - 21 = 314728854047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314728854047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17382169 + ... + 17400265.

It is an arithmetic number, because the mean of its divisors is an integer number (36136318939).

Almost surely, 2314728854049 is an apocalyptic number.

314728854049 is the 561007-th square number.

314728854049 is the 280504-th centered octagonal number.

It is an amenable number.

314728854049 is a deficient number, since it is larger than the sum of its proper divisors (10498016402).

314728854049 is an frugal number, since it uses more digits than its factorization.

314728854049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36256 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 314728854049 in words is "three hundred fourteen billion, seven hundred twenty-eight million, eight hundred fifty-four thousand, forty-nine".

Divisors: 1 31 961 18097 561007 17391217 327501409 10152543679 314728854049