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12042444232 = 2372134157637
BaseRepresentation
bin10110011011100100…
…10001110111001000
31011002020222112220001
423031302101313020
5144130331203412
65310543212344
7604265041600
oct131562216710
934066875801
1012042444232
11511a711655
122400ba70b4
13119bba5a60
14823509c00
154a7356957
hex2cdc91dc8

12042444232 has 96 divisors (see below), whose sum is σ = 28976928120. Its totient is φ = 4647767040.

The previous prime is 12042444229. The next prime is 12042444257. The reversal of 12042444232 is 23244424021.

12042444232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5586964516 + 6455479716 = 74746^2 + 80346^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12042444232.

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 23 ways as a sum of consecutive naturals, for example, 180118 + ... + 237754.

Almost surely, 212042444232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488464060).

12042444232 is an abundant number, since it is smaller than the sum of its proper divisors (16934483888).

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

12042444232 is a wasteful number, since it uses less digits than its factorization.

12042444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57711 (or 57700 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12042444232 its reverse (23244424021), we get a palindrome (35286868253).

The spelling of 12042444232 in words is "twelve billion, forty-two million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 182 196 287 328 364 392 533 574 637 728 1066 1148 1274 2009 2132 2296 2548 3731 4018 4264 5096 7462 8036 14924 16072 26117 29848 52234 57637 104468 115274 208936 230548 403459 461096 749281 806918 1498562 1613836 2363117 2824213 2997124 3227672 4726234 5244967 5648426 5994248 9452468 10489934 11296852 16541819 18904936 20979868 22593704 30720521 33083638 36714769 41959736 61441042 66167276 73429538 115792733 122882084 132334552 146859076 215043647 231585466 245764168 293718152 430087294 463170932 860174588 926341864 1505305529 1720349176 3010611058 6021222116 12042444232