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12040444144 = 243130018089
BaseRepresentation
bin10110011011010101…
…01001100011110000
31011002010012221021201
423031222221203300
5144124323203034
65310432300544
7604242041461
oct131552514360
934063187251
1012040444144
115119575993
1224003a1754
13119b655581
14823148d68
154a70ae014
hex2cdaa98f0

12040444144 has 40 divisors (see below), whose sum is σ = 24091890560. Its totient is φ = 5823360000.

The previous prime is 12040444099. The next prime is 12040444151. The reversal of 12040444144 is 44144404021.

12040444144 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1484452 + ... + 1492540.

It is an arithmetic number, because the mean of its divisors is an integer number (602297264).

Almost surely, 212040444144 is an apocalyptic number.

It is an amenable number.

12040444144 is an abundant number, since it is smaller than the sum of its proper divisors (12051446416).

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

12040444144 is a wasteful number, since it uses less digits than its factorization.

12040444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 12040444144 its reverse (44144404021), we get a palindrome (56184848165).

The spelling of 12040444144 in words is "twelve billion, forty million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 3001 6002 8089 12004 16178 24008 32356 48016 64712 93031 129424 186062 250759 372124 501518 744248 1003036 1488496 2006072 4012144 24275089 48550178 97100356 194200712 388401424 752527759 1505055518 3010111036 6020222072 12040444144