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12142140444 = 2232754718807
BaseRepresentation
bin10110100111011101…
…00101110000011100
31011100012120122101100
423103232211300130
5144331341443234
65324504113100
7606615330240
oct132356456034
934305518340
1012142140444
115170a15915
12242a465790
1311b67411b5
1483285c420
154b0e9b399
hex2d3ba5c1c

12142140444 has 72 divisors (see below), whose sum is σ = 35087689728. Its totient is φ = 3468155040.

The previous prime is 12142140431. The next prime is 12142140487. The reversal of 12142140444 is 44404124121.

It is a happy number.

12142140444 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 214 + 0 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374289 + ... + 1383095.

It is an arithmetic number, because the mean of its divisors is an integer number (487329024).

Almost surely, 212142140444 is an apocalyptic number.

12142140444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12142140444 is an abundant number, since it is smaller than the sum of its proper divisors (22945549284).

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

12142140444 is a wasteful number, since it uses less digits than its factorization.

12142140444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12142140444 its reverse (44404124121), we get a palindrome (56546264565).

The spelling of 12142140444 in words is "twelve billion, one hundred forty-two million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5471 8807 10942 16413 17614 21884 26421 32826 35228 38297 49239 52842 61649 65652 76594 79263 98478 105684 114891 123298 153188 158526 184947 196956 229782 246596 317052 344673 369894 459564 554841 689346 739788 1109682 1378692 2219364 48183097 96366194 144549291 192732388 289098582 337281679 433647873 578197164 674563358 867295746 1011845037 1349126716 1734591492 2023690074 3035535111 4047380148 6071070222 12142140444