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104400033441 = 3118093910553
BaseRepresentation
bin110000100111010111…
…0100001011010100001
3100222110211002012102020
41201032232201122201
53202302402032231
6115543303012053
710354062433224
oct1411656413241
9328424065366
10104400033441
1140304108380
121829743a029
139aca284a22
1450a55875bb
152ab067d396
hex184eba16a1

104400033441 has 16 divisors (see below), whose sum is σ = 152042339520. Its totient is φ = 63194520320.

The previous prime is 104400033391. The next prime is 104400033449. The reversal of 104400033441 is 144330004401.

It is a cyclic number.

It is not a de Polignac number, because 104400033441 - 27 = 104400033313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104400033449) 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 15 ways as a sum of consecutive naturals, for example, 1928580 + ... + 1981973.

It is an arithmetic number, because the mean of its divisors is an integer number (9502646220).

Almost surely, 2104400033441 is an apocalyptic number.

104400033441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104400033441 is a deficient number, since it is larger than the sum of its proper divisors (47642306079).

104400033441 is a wasteful number, since it uses less digits than its factorization.

104400033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911376.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 104400033441 its reverse (144330004401), we get a palindrome (248730037842).

The spelling of 104400033441 in words is "one hundred four billion, four hundred million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 809 2427 8899 26697 3910553 11731659 43016083 129048249 3163637377 9490912131 34800011147 104400033441