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12000444144 = 2431319231481
BaseRepresentation
bin10110010110100100…
…00011111011110000
31010222022221201121020
423023102003323300
5144034103203034
65302443055440
7603245043423
oct131322037360
933868851536
1012000444144
1150a8a35337
1223aab11580
13119328ba30
1481bad59ba
154a380c249
hex2cb483ef0

12000444144 has 40 divisors (see below), whose sum is σ = 33385852752. Its totient is φ = 3692444160.

The previous prime is 12000444077. The next prime is 12000444161. The reversal of 12000444144 is 44144400021.

It is a happy number.

12000444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9615117 + ... + 9616364.

Almost surely, 212000444144 is an apocalyptic number.

It is an amenable number.

12000444144 is an abundant number, since it is smaller than the sum of its proper divisors (21385408608).

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

12000444144 is a wasteful number, since it uses less digits than its factorization.

12000444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231505 (or 19231499 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12000444144 its reverse (44144400021), we get a palindrome (56144844165).

The spelling of 12000444144 in words is "twelve billion, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 19231481 38462962 57694443 76925924 115388886 153851848 230777772 250009253 307703696 461555544 500018506 750027759 923111088 1000037012 1500055518 2000074024 3000111036 4000148048 6000222072 12000444144