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104443412004 = 22322901205889
BaseRepresentation
bin110000101000101001…
…1111111111000100100
3100222120211201001121200
41201101103333320210
53202400003141004
6115551452442500
710355130232311
oct1412123777044
9328524631550
10104443412004
1140326646328
12182a9a79430
139b06262309
1450ab239d08
152ab439b239
hex18514ffe24

104443412004 has 18 divisors (see below), whose sum is σ = 264009735990. Its totient is φ = 34814470656.

The previous prime is 104443411993. The next prime is 104443412009. The reversal of 104443412004 is 400214344401.

104443412004 is a `hidden beast` number, since 10 + 4 + 443 + 4 + 1 + 200 + 4 = 666.

104443412004 is digitally balanced in base 3, 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 only one way, i.e., 52623442404 + 51819969600 = 229398^2 + 227640^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1044434120042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104443412009) 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 5 ways as a sum of consecutive naturals, for example, 1450602909 + ... + 1450602980.

It is an arithmetic number, because the mean of its divisors is an integer number (14667207555).

Almost surely, 2104443412004 is an apocalyptic number.

It is an amenable number.

104443412004 is an abundant number, since it is smaller than the sum of its proper divisors (159566323986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104443412004 is a wasteful number, since it uses less digits than its factorization.

104443412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901205899 (or 2901205894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104443412004 its reverse (400214344401), we get a palindrome (504657756405).

The spelling of 104443412004 in words is "one hundred four billion, four hundred forty-three million, four hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 2901205889 5802411778 8703617667 11604823556 17407235334 26110853001 34814470668 52221706002 104443412004