Search a number
-
+
142623144 = 23321980877
BaseRepresentation
bin10001000000001…
…00000110101000
3100221101000011200
420200010012220
5243002420034
622052524200
73351163626
oct1040040650
9327330150
10142623144
1173563974
123b920660
13237182c1
1414d28516
15c7c3a99
hex88041a8

142623144 has 24 divisors (see below), whose sum is σ = 386271210. Its totient is φ = 47541024.

The previous prime is 142623137. The next prime is 142623163. The reversal of 142623144 is 441326241.

It is a happy number.

142623144 is a `hidden beast` number, since 1 + 426 + 231 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104652900 + 37970244 = 10230^2 + 6162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1426231442 = 40682722408889472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 990367 + ... + 990510.

Almost surely, 2142623144 is an apocalyptic number.

It is an amenable number.

142623144 is an abundant number, since it is smaller than the sum of its proper divisors (243648066).

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

142623144 is a wasteful number, since it uses less digits than its factorization.

142623144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980889 (or 1980882 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 142623144 is about 11942.4932070318. The cubic root of 142623144 is about 522.4723781404.

Adding to 142623144 its reverse (441326241), we get a palindrome (583949385).

It can be divided in two parts, 142 and 623144, that added together give a triangular number (623286 = T1116).

The spelling of 142623144 in words is "one hundred forty-two million, six hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1980877 3961754 5942631 7923508 11885262 15847016 17827893 23770524 35655786 47541048 71311572 142623144