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314075141 is a prime number
BaseRepresentation
bin10010101110000…
…110100000000101
3210212222200002122
4102232012200011
51120400401031
651055415325
710532410652
oct2256064005
9725880078
10314075141
11151318336
1289224545
13500b84a3
142d9d8c29
151c88e47b
hex12b86805

314075141 has 2 divisors, whose sum is σ = 314075142. Its totient is φ = 314075140.

The previous prime is 314075137. The next prime is 314075147. The reversal of 314075141 is 141570413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310288225 + 3786916 = 17615^2 + 1946^2 .

It is a cyclic number.

It is not a de Polignac number, because 314075141 - 22 = 314075137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314075141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314075147) by changing a digit.

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 as a sum of consecutive naturals, namely, 157037570 + 157037571.

It is an arithmetic number, because the mean of its divisors is an integer number (157037571).

Almost surely, 2314075141 is an apocalyptic number.

It is an amenable number.

314075141 is a deficient number, since it is larger than the sum of its proper divisors (1).

314075141 is an equidigital number, since it uses as much as digits as its factorization.

314075141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 314075141 is about 17722.1652458158. The cubic root of 314075141 is about 679.7426513201.

The spelling of 314075141 in words is "three hundred fourteen million, seventy-five thousand, one hundred forty-one".