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11414400149 is a prime number
BaseRepresentation
bin10101010000101100…
…11110110010010101
31002110111012121101002
422220112132302111
5141334041301044
65124350113045
7552600541355
oct125026366225
932414177332
1011414400149
114928149859
1222667ab785
1310cba3b539
147a3d42b65
1546c14974e
hex2a859ec95

11414400149 has 2 divisors, whose sum is σ = 11414400150. Its totient is φ = 11414400148.

The previous prime is 11414400139. The next prime is 11414400191. The reversal of 11414400149 is 94100441411.

11414400149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11391292900 + 23107249 = 106730^2 + 4807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11414400149 is a prime.

It is a super-2 number, since 2×114144001492 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11414400139) 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, 5707200074 + 5707200075.

It is an arithmetic number, because the mean of its divisors is an integer number (5707200075).

Almost surely, 211414400149 is an apocalyptic number.

It is an amenable number.

11414400149 is a deficient number, since it is larger than the sum of its proper divisors (1).

11414400149 is an equidigital number, since it uses as much as digits as its factorization.

11414400149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 11414400149 in words is "eleven billion, four hundred fourteen million, four hundred thousand, one hundred forty-nine".