Search a number
-
+
142412112 = 24323726729
BaseRepresentation
bin10000111110100…
…00100101010000
3100220222021200200
420133100211100
5242424141422
622044215200
73346324443
oct1037204520
9326867620
10142412112
117342a367
123b83a500
132367322b
1414cb165a
15c7812ac
hex87d0950

142412112 has 60 divisors (see below), whose sum is σ = 409343220. Its totient is φ = 46185984.

The previous prime is 142412107. The next prime is 142412131. The reversal of 142412112 is 211214241.

142412112 is a `hidden beast` number, since 142 + 412 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111007296 + 31404816 = 10536^2 + 5604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8037 + ... + 18692.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387).

Almost surely, 2142412112 is an apocalyptic number.

142412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142412112 is an abundant number, since it is smaller than the sum of its proper divisors (266931108).

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

142412112 is a wasteful number, since it uses less digits than its factorization.

142412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26771 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 142412112 is about 11933.6545953032. The cubic root of 142412112 is about 522.2145592625.

Adding to 142412112 its reverse (211214241), we get a palindrome (353626353).

The spelling of 142412112 in words is "one hundred forty-two million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 26729 53458 80187 106916 160374 213832 240561 320748 427664 481122 641496 962244 988973 1282992 1924488 1977946 2966919 3848976 3955892 5933838 7911784 8900757 11867676 15823568 17801514 23735352 35603028 47470704 71206056 142412112