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314087389225 = 521120872
BaseRepresentation
bin1001001001000010001…
…00010011100000101001
31010000201021211112210121
410210201010103200221
520121222332423400
6400142330443241
731456243521061
oct4444104234051
91100637745717
10314087389225
11111227163335
1250a57293521
132380658728c
14112b80863a1
15828430521a
hex4921113829

314087389225 has 9 divisors (see below), whose sum is σ = 389471837367. Its totient is φ = 251267669640.

The previous prime is 314087389219. The next prime is 314087389393. The reversal of 314087389225 is 522983780413.

It is a happy number.

The square root of 314087389225 is 560435.

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., 113071460121 + 201015929104 = 336261^2 + 448348^2 .

It is not a de Polignac number, because 314087389225 - 25 = 314087389193 is a prime.

It is a super-2 number, since 2×3140873892252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 2746132 + ... + 2858218.

Almost surely, 2314087389225 is an apocalyptic number.

314087389225 is the 560435-th square number.

314087389225 is the 280218-th centered octagonal number.

It is an amenable number.

314087389225 is a deficient number, since it is larger than the sum of its proper divisors (75384448142).

314087389225 is an frugal number, since it uses more digits than its factorization.

314087389225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224184 (or 112092 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 314087389225 in words is "three hundred fourteen billion, eighty-seven million, three hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 112087 560435 2802175 12563495569 62817477845 314087389225