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1040414317 is a prime number
BaseRepresentation
bin111110000000110…
…111011001101101
32200111201112010121
4332000313121231
54112321224232
6251123404541
734532242615
oct7600673155
92614645117
101040414317
11494317748
12250523751
1313771a497
149c26ba45
1561515d97
hex3e03766d

1040414317 has 2 divisors, whose sum is σ = 1040414318. Its totient is φ = 1040414316.

The previous prime is 1040414299. The next prime is 1040414329. The reversal of 1040414317 is 7134140401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 941630596 + 98783721 = 30686^2 + 9939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1040414317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040414291 and 1040414300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1040414357) 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, 520207158 + 520207159.

It is an arithmetic number, because the mean of its divisors is an integer number (520207159).

Almost surely, 21040414317 is an apocalyptic number.

It is an amenable number.

1040414317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040414317 is an equidigital number, since it uses as much as digits as its factorization.

1040414317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1040414317 is about 32255.4540659405. The cubic root of 1040414317 is about 1013.2939273568.

Adding to 1040414317 its reverse (7134140401), we get a palindrome (8174554718).

The spelling of 1040414317 in words is "one billion, forty million, four hundred fourteen thousand, three hundred seventeen".