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254441345149 is a prime number
BaseRepresentation
bin1110110011110111100…
…0101101000001111101
3220022202110021120022001
43230331320231001331
513132043441021044
6312515545022301
724245202514615
oct3547570550175
9808673246261
10254441345149
11989a9562632
124138ba84991
131acbc269a84
14c45a60da45
156942bbd2d4
hex3b3de2d07d

254441345149 has 2 divisors, whose sum is σ = 254441345150. Its totient is φ = 254441345148.

The previous prime is 254441345113. The next prime is 254441345203. The reversal of 254441345149 is 941543144452.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150229884025 + 104211461124 = 387595^2 + 322818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254441345149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254441345099 and 254441345108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (254441345749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127220672574 + 127220672575.

It is an arithmetic number, because the mean of its divisors is an integer number (127220672575).

Almost surely, 2254441345149 is an apocalyptic number.

It is an amenable number.

254441345149 is a deficient number, since it is larger than the sum of its proper divisors (1).

254441345149 is an equidigital number, since it uses as much as digits as its factorization.

254441345149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1382400, while the sum is 46.

The spelling of 254441345149 in words is "two hundred fifty-four billion, four hundred forty-one million, three hundred forty-five thousand, one hundred forty-nine".