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13013444142 = 2326869105251
BaseRepresentation
bin11000001111010100…
…10110011000101110
31020120221002110100200
430013222112120232
5203122420203032
65551151134330
7640325310246
oct140752263056
936527073320
1013013444142
115578828216
1226322143a6
1312c50cb10a
148b6468b26
1551270a47c
hex307a9662e

13013444142 has 24 divisors (see below), whose sum is σ = 28200168360. Its totient is φ = 4337142000.

The previous prime is 13013444131. The next prime is 13013444149. The reversal of 13013444142 is 24144431031.

13013444142 is a `hidden beast` number, since 1 + 301 + 344 + 4 + 14 + 2 = 666.

13013444142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013444149) 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, 71017 + ... + 176267.

It is an arithmetic number, because the mean of its divisors is an integer number (1175007015).

Almost surely, 213013444142 is an apocalyptic number.

13013444142 is an abundant number, since it is smaller than the sum of its proper divisors (15186724218).

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

13013444142 is a wasteful number, since it uses less digits than its factorization.

13013444142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112128 (or 112125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13013444142 its reverse (24144431031), we get a palindrome (37157875173).

It can be divided in two parts, 1301 and 3444142, that added together give a palindrome (3445443).

The spelling of 13013444142 in words is "thirteen billion, thirteen million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 6869 13738 20607 41214 61821 105251 123642 210502 315753 631506 947259 1894518 722969119 1445938238 2168907357 4337814714 6506722071 13013444142