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3136040541 = 321729706793
BaseRepresentation
bin1011101011101100…
…0010111001011101
322002120000100212200
42322323002321131
522410311244131
61235104122113
7140466622224
oct27273027135
98076010780
103136040541
11136a238747
12736306339
133ac9365ba
1421a6d9cbb
151354b72e6
hexbaec2e5d

3136040541 has 24 divisors (see below), whose sum is σ = 4961693880. Its totient is φ = 1899856896.

The previous prime is 3136040527. The next prime is 3136040623. The reversal of 3136040541 is 1450406313.

3136040541 is a `hidden beast` number, since 3 + 1 + 3 + 604 + 0 + 54 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968765625 + 2167274916 = 31125^2 + 46554^2 .

It is not a de Polignac number, because 3136040541 - 26 = 3136040477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136040521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348960 + ... + 357833.

It is an arithmetic number, because the mean of its divisors is an integer number (206737245).

Almost surely, 23136040541 is an apocalyptic number.

It is an amenable number.

3136040541 is a deficient number, since it is larger than the sum of its proper divisors (1825653339).

3136040541 is a wasteful number, since it uses less digits than its factorization.

3136040541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706845 (or 706842 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3136040541 is about 56000.3619720444. The cubic root of 3136040541 is about 1463.7285914613.

Adding to 3136040541 its reverse (1450406313), we get a palindrome (4586446854).

The spelling of 3136040541 in words is "three billion, one hundred thirty-six million, forty thousand, five hundred forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 706793 2120379 6361137 12015481 20496997 36046443 61490991 108139329 184472973 348448949 1045346847 3136040541