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142424324 = 22741971279
BaseRepresentation
bin10000111110100…
…11100100000100
3100220222220102222
420133103210010
5242430034244
622044351512
73346405160
oct1037234404
9326886388
10142424324
1173438559
123b845598
1323678963
1414cb5ca0
15c784bee
hex87d3904

142424324 has 48 divisors (see below), whose sum is σ = 295034880. Its totient is φ = 58890240.

The previous prime is 142424311. The next prime is 142424327. The reversal of 142424324 is 423424241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 142424293 and 142424302.

It is not an unprimeable number, because it can be changed into a prime (142424327) 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, 110717 + ... + 111995.

It is an arithmetic number, because the mean of its divisors is an integer number (6146560).

Almost surely, 2142424324 is an apocalyptic number.

142424324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147517440).

142424324 is an abundant number, since it is smaller than the sum of its proper divisors (152610556).

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

142424324 is a wasteful number, since it uses less digits than its factorization.

142424324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 142424324 is about 11934.1662465377. The cubic root of 142424324 is about 522.2294856660.

Adding to 142424324 its reverse (423424241), we get a palindrome (565848565).

The spelling of 142424324 in words is "one hundred forty-two million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 82 97 164 194 287 388 574 679 1148 1279 1358 2558 2716 3977 5116 7954 8953 15908 17906 27839 35812 52439 55678 104878 111356 124063 209756 248126 367073 496252 734146 868441 1468292 1736882 3473764 5086583 10173166 20346332 35606081 71212162 142424324