Search a number
-
+
12142444240 = 245151780553
BaseRepresentation
bin10110100111011111…
…01111111011010000
31011100020011002010001
423103233233323100
5144331431203430
65324514415344
7606621034033
oct132357577320
934306132101
1012142444240
115171103093
12242a591554
1311b6819564
148328db01a
154b100b3ca
hex2d3befed0

12142444240 has 20 divisors (see below), whose sum is σ = 28231183044. Its totient is φ = 4856977664.

The previous prime is 12142444163. The next prime is 12142444271. The reversal of 12142444240 is 4244424121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6084624016 + 6057820224 = 78004^2 + 77832^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12142444199 and 12142444208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75890197 + ... + 75890356.

Almost surely, 212142444240 is an apocalyptic number.

12142444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142444240 is an abundant number, since it is smaller than the sum of its proper divisors (16088738804).

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

12142444240 is a wasteful number, since it uses less digits than its factorization.

12142444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151780566 (or 151780560 counting only the distinct ones).

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

Adding to 12142444240 its reverse (4244424121), we get a palindrome (16386868361).

The spelling of 12142444240 in words is "twelve billion, one hundred forty-two million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151780553 303561106 607122212 758902765 1214244424 1517805530 2428488848 3035611060 6071222120 12142444240