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13005441344 = 26729030003
BaseRepresentation
bin11000001110010111…
…10100100101000000
31020120101000212120202
430013023310211000
5203113343110334
65550303424332
7640200266420
oct140713644500
936511025522
1013005441344
115574261635
12262b5b50a8
1312c355862c
148b5384480
15511b7917e
hex3072f4940

13005441344 has 28 divisors (see below), whose sum is σ = 29494484064. Its totient is φ = 5573760384.

The previous prime is 13005441343. The next prime is 13005441349. The reversal of 13005441344 is 44314450031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005441341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14514554 + ... + 14515449.

Almost surely, 213005441344 is an apocalyptic number.

13005441344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13005441344 is an abundant number, since it is smaller than the sum of its proper divisors (16489042720).

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

13005441344 is an equidigital number, since it uses as much as digits as its factorization.

13005441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29030022 (or 29030012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 13005441344 its reverse (44314450031), we get a palindrome (57319891375).

The spelling of 13005441344 in words is "thirteen billion, five million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 29030003 58060006 116120012 203210021 232240024 406420042 464480048 812840084 928960096 1625680168 1857920192 3251360336 6502720672 13005441344