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14582741041 = 112161374717
BaseRepresentation
bin11011001010011001…
…01111100000110001
31101122022000000000001
431211030233200301
5214331140203131
610411010430001
71024242153001
oct154514574061
941568000001
1014582741041
116203639200
1229ab892301
1314b5273b6b
149c4a4a001
155a5392261
hex36532f831

14582741041 has 12 divisors (see below), whose sum is σ = 16039115316. Its totient is φ = 13248641120.

The previous prime is 14582741039. The next prime is 14582741081. The reversal of 14582741041 is 14014728541.

It is a happy number.

14582741041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8414209441 + 6168531600 = 91729^2 + 78540^2 .

It is not a de Polignac number, because 14582741041 - 21 = 14582741039 is a prime.

It is a super-3 number, since 3×145827410413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14582741011) 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 in 11 ways as a sum of consecutive naturals, for example, 157815 + ... + 232531.

It is an arithmetic number, because the mean of its divisors is an integer number (1336592943).

Almost surely, 214582741041 is an apocalyptic number.

14582741041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14582741041 is a deficient number, since it is larger than the sum of its proper divisors (1456374275).

14582741041 is a wasteful number, since it uses less digits than its factorization.

14582741041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76352 (or 76341 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 14582741041 in words is "fourteen billion, five hundred eighty-two million, seven hundred forty-one thousand, forty-one".

Divisors: 1 11 121 1613 17743 74717 195173 821887 9040757 120518521 1325703731 14582741041