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40100149 is a prime number
BaseRepresentation
bin1001100011111…
…0000100110101
32210110022001201
42120332010311
540231201044
63551252501
7664563025
oct230760465
983408051
1040100149
11206a9921
121151a131
1384002cb
14547ba85
1537c17d4
hex263e135

40100149 has 2 divisors, whose sum is σ = 40100150. Its totient is φ = 40100148.

The previous prime is 40100147. The next prime is 40100167. The reversal of 40100149 is 94100104.

40100149 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., 37271025 + 2829124 = 6105^2 + 1682^2 .

It is a cyclic number.

It is not a de Polignac number, because 40100149 - 21 = 40100147 is a prime.

Together with 40100147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20050074 + 20050075.

It is an arithmetic number, because the mean of its divisors is an integer number (20050075).

Almost surely, 240100149 is an apocalyptic number.

It is an amenable number.

40100149 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100149 is an equidigital number, since it uses as much as digits as its factorization.

40100149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 40100149 is about 6332.4678443716. The cubic root of 40100149 is about 342.2803720963.

The spelling of 40100149 in words is "forty million, one hundred thousand, one hundred forty-nine".