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254214432457 is a prime number
BaseRepresentation
bin1110110011000001011…
…1000110011011001001
3220022011122022012121021
43230300113012123021
513131112343314312
6312441241312441
724236446010566
oct3546027063311
9808148265537
10254214432457
11988a2468787
1241327a95721
131ac8424bacb
14c43842386d
15692cce9c07
hex3b305c66c9

254214432457 has 2 divisors, whose sum is σ = 254214432458. Its totient is φ = 254214432456.

The previous prime is 254214432389. The next prime is 254214432467. The reversal of 254214432457 is 754234412452.

254214432457 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., 254011968016 + 202464441 = 503996^2 + 14229^2 .

It is a cyclic number.

It is not a de Polignac number, because 254214432457 - 211 = 254214430409 is a prime.

It is not a weakly prime, because it can be changed into another prime (254214432467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127107216228 + 127107216229.

It is an arithmetic number, because the mean of its divisors is an integer number (127107216229).

Almost surely, 2254214432457 is an apocalyptic number.

It is an amenable number.

254214432457 is a deficient number, since it is larger than the sum of its proper divisors (1).

254214432457 is an equidigital number, since it uses as much as digits as its factorization.

254214432457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1075200, while the sum is 43.

The spelling of 254214432457 in words is "two hundred fifty-four billion, two hundred fourteen million, four hundred thirty-two thousand, four hundred fifty-seven".