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254156417401 is a prime number
BaseRepresentation
bin1110110010110011100…
…1110010100101111001
3220022000121010201220111
43230230321302211321
513131003020324101
6312431410024321
724235142621515
oct3545471624571
9808017121814
10254156417401
1198872743157
12413105780a1
131ac75218483
14c430841145
156927b8a251
hex3b2ce72979

254156417401 has 2 divisors, whose sum is σ = 254156417402. Its totient is φ = 254156417400.

The previous prime is 254156417323. The next prime is 254156417443. The reversal of 254156417401 is 104714651452.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222712261776 + 31444155625 = 471924^2 + 177325^2 .

It is a cyclic number.

It is not a de Polignac number, because 254156417401 - 29 = 254156416889 is a prime.

It is a super-2 number, since 2×2541564174012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (254156417701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127078208700 + 127078208701.

It is an arithmetic number, because the mean of its divisors is an integer number (127078208701).

Almost surely, 2254156417401 is an apocalyptic number.

It is an amenable number.

254156417401 is a deficient number, since it is larger than the sum of its proper divisors (1).

254156417401 is an equidigital number, since it uses as much as digits as its factorization.

254156417401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 254156417401 in words is "two hundred fifty-four billion, one hundred fifty-six million, four hundred seventeen thousand, four hundred one".