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2327408141 is a prime number
BaseRepresentation
bin1000101010111001…
…0110111000001101
320000012102120202112
42022232112320031
514231304030031
61022540233405
7111450433322
oct21256267015
96005376675
102327408141
11a94841203
1254b53b865
132b12504a6
14181164b49
15d94d762b
hex8ab96e0d

2327408141 has 2 divisors, whose sum is σ = 2327408142. Its totient is φ = 2327408140.

The previous prime is 2327408123. The next prime is 2327408143. The reversal of 2327408141 is 1418047232.

2327408141 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., 2247234025 + 80174116 = 47405^2 + 8954^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2327408141 is a prime.

Together with 2327408143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2327408098 and 2327408107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2327408143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1163704070 + 1163704071.

It is an arithmetic number, because the mean of its divisors is an integer number (1163704071).

Almost surely, 22327408141 is an apocalyptic number.

It is an amenable number.

2327408141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2327408141 is an equidigital number, since it uses as much as digits as its factorization.

2327408141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2327408141 is about 48243.2186011671. The cubic root of 2327408141 is about 1325.2287519613.

The spelling of 2327408141 in words is "two billion, three hundred twenty-seven million, four hundred eight thousand, one hundred forty-one".