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258368141 is a prime number
BaseRepresentation
bin11110110011001…
…10001010001101
3200000011110110102
433121212022031
51012120240031
641345420445
76255043613
oct1731461215
9600143412
10258368141
11122929899
127263a725
13416b2575
14264576b3
1517a387cb
hexf66628d

258368141 has 2 divisors, whose sum is σ = 258368142. Its totient is φ = 258368140.

The previous prime is 258368107. The next prime is 258368153. The reversal of 258368141 is 141863852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148328041 + 110040100 = 12179^2 + 10490^2 .

It is a cyclic number.

It is not a de Polignac number, because 258368141 - 218 = 258105997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 258368095 and 258368104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258368191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129184070 + 129184071.

It is an arithmetic number, because the mean of its divisors is an integer number (129184071).

Almost surely, 2258368141 is an apocalyptic number.

It is an amenable number.

258368141 is a deficient number, since it is larger than the sum of its proper divisors (1).

258368141 is an equidigital number, since it uses as much as digits as its factorization.

258368141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46080, while the sum is 38.

The square root of 258368141 is about 16073.8340479178. The cubic root of 258368141 is about 636.9123255770.

The spelling of 258368141 in words is "two hundred fifty-eight million, three hundred sixty-eight thousand, one hundred forty-one".