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314393000353 is a prime number
BaseRepresentation
bin1001001001100110100…
…10000111100110100001
31010001111120220012110021
410210303102013212201
520122334102002403
6400232525033441
731466644260445
oct4446322074641
91101446805407
10314393000353
1111137371a513
1250b216b5881
132385499b073
14113068ba825
1582a10718bd
hex49334879a1

314393000353 has 2 divisors, whose sum is σ = 314393000354. Its totient is φ = 314393000352.

The previous prime is 314393000291. The next prime is 314393000371. The reversal of 314393000353 is 353000393413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237410613504 + 76982386849 = 487248^2 + 277457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314393000353 is a prime.

It is a super-2 number, since 2×3143930003532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314393000153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157196500176 + 157196500177.

It is an arithmetic number, because the mean of its divisors is an integer number (157196500177).

Almost surely, 2314393000353 is an apocalyptic number.

It is an amenable number.

314393000353 is a deficient number, since it is larger than the sum of its proper divisors (1).

314393000353 is an equidigital number, since it uses as much as digits as its factorization.

314393000353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 34.

Adding to 314393000353 its reverse (353000393413), we get a palindrome (667393393766).

The spelling of 314393000353 in words is "three hundred fourteen billion, three hundred ninety-three million, three hundred fifty-three", and thus it is an aban number.