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13132323144 = 23321071704611
BaseRepresentation
bin11000011101011111…
…10101100101001000
31020220012210010200200
430032233311211020
5203343333320034
610011035132200
7643300622253
oct141657654510
936805703620
1013132323144
115629943826
122665ba4060
131313921a15
148c817209a
1551cd8da99
hex30ebf5948

13132323144 has 48 divisors (see below), whose sum is σ = 35899128720. Its totient is φ = 4336527840.

The previous prime is 13132323143. The next prime is 13132323167. The reversal of 13132323144 is 44132323131.

It is a happy number.

13132323144 is a `hidden beast` number, since 1 + 313 + 2 + 32 + 314 + 4 = 666.

It is a super-2 number, since 2×131323231442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13132323143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844602 + ... + 860009.

It is an arithmetic number, because the mean of its divisors is an integer number (747898515).

Almost surely, 213132323144 is an apocalyptic number.

It is an amenable number.

13132323144 is an abundant number, since it is smaller than the sum of its proper divisors (22766805576).

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

13132323144 is a wasteful number, since it uses less digits than its factorization.

13132323144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704730 (or 1704723 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13132323144 its reverse (44132323131), we get a palindrome (57264646275).

The spelling of 13132323144 in words is "thirteen billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 1704611 3409222 5113833 6818444 10227666 13636888 15341499 20455332 30682998 40910664 61365996 122731992 182393377 364786754 547180131 729573508 1094360262 1459147016 1641540393 2188720524 3283080786 4377441048 6566161572 13132323144