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404444310012131 = 1012131449301619
BaseRepresentation
bin101101111110101110000011…
…1011011100000000011100011
31222001000111110100122000201012
41123331130013123200003203
5411002403421330342011
63552103052342331135
7151122065014503344
oct13375340733400343
91861014410560635
10404444310012131
111079609611845a4
1239440025129aab
1314489c1c9507bc
1471c32cd8ca0cb
1531b57d0a79a8b
hex16fd7076e00e3

404444310012131 has 12 divisors (see below), whose sum is σ = 408492818547000. Its totient is φ = 400435536926400.

The previous prime is 404444310012097. The next prime is 404444310012151. The reversal of 404444310012131 is 131210013444404.

It is a de Polignac number, because none of the positive numbers 2k-404444310012131 is a prime.

It is a super-2 number, since 2×4044443100121312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404444310012151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1340760440 + ... + 1341062058.

It is an arithmetic number, because the mean of its divisors is an integer number (34041068212250).

Almost surely, 2404444310012131 is an apocalyptic number.

404444310012131 is a deficient number, since it is larger than the sum of its proper divisors (4048508534869).

404444310012131 is a wasteful number, since it uses less digits than its factorization.

404444310012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433270 (or 433169 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 404444310012131 its reverse (131210013444404), we get a palindrome (535654323456535).

The spelling of 404444310012131 in words is "four hundred four trillion, four hundred forty-four billion, three hundred ten million, twelve thousand, one hundred thirty-one".

Divisors: 1 101 10201 131449 301619 13276349 30463519 1340911249 3076815419 39647515931 4004399109031 404444310012131