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3145240993 is a prime number
BaseRepresentation
bin1011101101111000…
…1001000110100001
322010012022210112011
42323132021012201
522420140202433
61240033232521
7140641051546
oct27336110641
98105283464
103145240993
111374452124
12739402741
133b180825b
1421ba12bcd
151361d33cd
hexbb7891a1

3145240993 has 2 divisors, whose sum is σ = 3145240994. Its totient is φ = 3145240992.

The previous prime is 3145240937. The next prime is 3145241017. The reversal of 3145240993 is 3990425413.

3145240993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3038986129 + 106254864 = 55127^2 + 10308^2 .

It is a cyclic number.

It is not a de Polignac number, because 3145240993 - 213 = 3145232801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3145240793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1572620496 + 1572620497.

It is an arithmetic number, because the mean of its divisors is an integer number (1572620497).

Almost surely, 23145240993 is an apocalyptic number.

It is an amenable number.

3145240993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3145240993 is an equidigital number, since it uses as much as digits as its factorization.

3145240993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 3145240993 is about 56082.4481723115. The cubic root of 3145240993 is about 1465.1586129796.

The spelling of 3145240993 in words is "three billion, one hundred forty-five million, two hundred forty thousand, nine hundred ninety-three".