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10344416401 = 11940401491
BaseRepresentation
bin10011010001001001…
…10100010010010001
3222200220211210121101
421220210310102101
5132141132311101
64430244424401
7514226042254
oct115044642221
928626753541
1010344416401
114429176170
1220083a8101
13c8b16a067
14701bb909b
15408242401
hex268934491

10344416401 has 4 divisors (see below), whose sum is σ = 11284817904. Its totient is φ = 9404014900.

The previous prime is 10344416353. The next prime is 10344416413. The reversal of 10344416401 is 10461444301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10344416401 - 213 = 10344408209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344416401.

It is not an unprimeable number, because it can be changed into a prime (10344416491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470200735 + ... + 470200756.

It is an arithmetic number, because the mean of its divisors is an integer number (2821204476).

Almost surely, 210344416401 is an apocalyptic number.

10344416401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344416401 is a deficient number, since it is larger than the sum of its proper divisors (940401503).

10344416401 is an equidigital number, since it uses as much as digits as its factorization.

10344416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940401502.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10344416401 in words is "ten billion, three hundred forty-four million, four hundred sixteen thousand, four hundred one".

Divisors: 1 11 940401491 10344416401