Search a number
-
+
142123332 = 223131753591
BaseRepresentation
bin10000111100010…
…10000101000100
3100220102121120010
420132022011010
5242340421312
622034110220
73344012511
oct1036120504
9326377503
10142123332
11732523aa
123b71b370
13235a1960
1414c38308
15c72593c
hex878a144

142123332 has 48 divisors (see below), whose sum is σ = 378145152. Its totient is φ = 41157120.

The previous prime is 142123309. The next prime is 142123339. The reversal of 142123332 is 233321241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142123299 and 142123308.

It is not an unprimeable number, because it can be changed into a prime (142123339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24144 + ... + 29447.

It is an arithmetic number, because the mean of its divisors is an integer number (7878024).

Almost surely, 2142123332 is an apocalyptic number.

142123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142123332 is an abundant number, since it is smaller than the sum of its proper divisors (236021820).

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

142123332 is a wasteful number, since it uses less digits than its factorization.

142123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53628 (or 53626 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 142123332 is about 11921.5490604200. The cubic root of 142123332 is about 521.8613421886.

Adding to 142123332 its reverse (233321241), we get a palindrome (375444573).

It can be divided in two parts, 1421 and 23332, that added together give a triangular number (24753 = T222).

The spelling of 142123332 in words is "one hundred forty-two million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 53591 107182 160773 214364 321546 643092 696683 911047 1393366 1822094 2090049 2733141 2786732 3644188 4180098 5466282 8360196 10932564 11843611 23687222 35530833 47374444 71061666 142123332