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10444144013 = 29539117459
BaseRepresentation
bin10011011101000010…
…01111110110001101
3222221212111111011122
421232201033312031
5132342200102023
64444210130325
7516546521312
oct115641176615
928855444148
1010444144013
11447a4a0a86
1220358809a5
13ca5a16894
14711138d09
15411d912c8
hex26e84fd8d

10444144013 has 16 divisors (see below), whose sum is σ = 11021702400. Its totient is φ = 9881551680.

The previous prime is 10444143937. The next prime is 10444144093. The reversal of 10444144013 is 31044144401.

It is a cyclic number.

It is not a de Polignac number, because 10444144013 - 28 = 10444143757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444144093) 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 15 ways as a sum of consecutive naturals, for example, 1396478 + ... + 1403936.

It is an arithmetic number, because the mean of its divisors is an integer number (688856400).

Almost surely, 210444144013 is an apocalyptic number.

It is an amenable number.

10444144013 is a deficient number, since it is larger than the sum of its proper divisors (577558387).

10444144013 is an equidigital number, since it uses as much as digits as its factorization.

10444144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10444144013 its reverse (31044144401), we get a palindrome (41488288414).

The spelling of 10444144013 in words is "ten billion, four hundred forty-four million, one hundred forty-four thousand, thirteen".

Divisors: 1 29 53 911 1537 7459 26419 48283 216311 395327 1400207 6795149 11464483 197059321 360142897 10444144013