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408523142257 is a prime number
BaseRepresentation
bin1011111000111011110…
…00000111010001110001
31110001110200100212011021
411330131320013101301
523143123411023012
6511401204415441
741341404262156
oct5743570072161
91401420325137
10408523142257
1114828773331a
12672116a7581
132c6a6379c99
1415ab612822d
15a95ecce007
hex5f1de07471

408523142257 has 2 divisors, whose sum is σ = 408523142258. Its totient is φ = 408523142256.

The previous prime is 408523142233. The next prime is 408523142341. The reversal of 408523142257 is 752241325804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223346979216 + 185176163041 = 472596^2 + 430321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408523142257 is a prime.

It is not a weakly prime, because it can be changed into another prime (408523142957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204261571128 + 204261571129.

It is an arithmetic number, because the mean of its divisors is an integer number (204261571129).

Almost surely, 2408523142257 is an apocalyptic number.

It is an amenable number.

408523142257 is a deficient number, since it is larger than the sum of its proper divisors (1).

408523142257 is an equidigital number, since it uses as much as digits as its factorization.

408523142257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 408523142257 in words is "four hundred eight billion, five hundred twenty-three million, one hundred forty-two thousand, two hundred fifty-seven".