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314114125 = 5313193301
BaseRepresentation
bin10010101110010…
…000000001001101
3210220001122120111
4102232100001031
51120403123000
651100320021
710532632423
oct2256200115
9726048514
10314114125
11151344656
1289243011
1350100160
142da09113
151c89acba
hex12b9004d

314114125 has 16 divisors (see below), whose sum is σ = 422171568. Its totient is φ = 231960000.

The previous prime is 314114107. The next prime is 314114131. The reversal of 314114125 is 521411413.

It can be written as a sum of positive squares in 8 ways, for example, as 260209161 + 53904964 = 16131^2 + 7342^2 .

It is not a de Polignac number, because 314114125 - 215 = 314081357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314114096 and 314114105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95026 + ... + 98275.

It is an arithmetic number, because the mean of its divisors is an integer number (26385723).

Almost surely, 2314114125 is an apocalyptic number.

It is an amenable number.

314114125 is a deficient number, since it is larger than the sum of its proper divisors (108057443).

314114125 is a wasteful number, since it uses less digits than its factorization.

314114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193329 (or 193319 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 314114125 is about 17723.2650772932. The cubic root of 314114125 is about 679.7707740926.

Adding to 314114125 its reverse (521411413), we get a palindrome (835525538).

The spelling of 314114125 in words is "three hundred fourteen million, one hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 193301 966505 2512913 4832525 12564565 24162625 62822825 314114125