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3438191256941 = 7271988269979
BaseRepresentation
bin110010000010000100001…
…010110010010101101101
3110011200120110102111220202
4302002010022302111231
5422312403430210231
611151252214523245
7503254404325400
oct62020412622555
913150513374822
103438191256941
111106146370741
12476417366525
131bc2b258c01c
14bc5a3355d37
155e67de405cb
hex320842b256d

3438191256941 has 12 divisors (see below), whose sum is σ = 4055859997920. Its totient is φ = 2905513735320.

The previous prime is 3438191256919. The next prime is 3438191256971. The reversal of 3438191256941 is 1496521918343.

It is not a de Polignac number, because 3438191256941 - 234 = 3421011387757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438191256971) 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, 494131511 + ... + 494138468.

It is an arithmetic number, because the mean of its divisors is an integer number (337988333160).

Almost surely, 23438191256941 is an apocalyptic number.

It is an amenable number.

3438191256941 is a deficient number, since it is larger than the sum of its proper divisors (617668740979).

3438191256941 is an equidigital number, since it uses as much as digits as its factorization.

3438191256941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988270064 (or 988270057 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 56.

The spelling of 3438191256941 in words is "three trillion, four hundred thirty-eight billion, one hundred ninety-one million, two hundred fifty-six thousand, nine hundred forty-one".

Divisors: 1 7 49 71 497 3479 988269979 6917889853 48425228971 70167168509 491170179563 3438191256941