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40100441 is a prime number
BaseRepresentation
bin1001100011111…
…0001001011001
32210110022110112
42120332021121
540231203231
63551254105
7664563623
oct230761131
983408415
1040100441
11206aa067
121151a335
138400494
14547bc13
1537c192b
hex263e259

40100441 has 2 divisors, whose sum is σ = 40100442. Its totient is φ = 40100440.

The previous prime is 40100387. The next prime is 40100491. The reversal of 40100441 is 14400104.

40100441 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., 21576025 + 18524416 = 4645^2 + 4304^2 .

It is a cyclic number.

It is not a de Polignac number, because 40100441 - 222 = 35906137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40100491) 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, 20050220 + 20050221.

It is an arithmetic number, because the mean of its divisors is an integer number (20050221).

Almost surely, 240100441 is an apocalyptic number.

It is an amenable number.

40100441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100441 is an equidigital number, since it uses as much as digits as its factorization.

40100441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40100441 is about 6332.4909001119. The cubic root of 40100441 is about 342.2812028965.

Adding to 40100441 its reverse (14400104), we get a palindrome (54500545).

The spelling of 40100441 in words is "forty million, one hundred thousand, four hundred forty-one".