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142434424 = 23112269547
BaseRepresentation
bin10000111110101…
…10000001111000
3100221000102022001
420133112001320
5242430400144
622044510344
73346446466
oct1037260170
9327012261
10142434424
1173445100
123b84b3b4
1323680432
1414cb9836
15c787bd4
hex87d6078

142434424 has 48 divisors (see below), whose sum is σ = 295180200. Its totient is φ = 64384320.

The previous prime is 142434421. The next prime is 142434433. The reversal of 142434424 is 424434241.

It is a junction number, because it is equal to n+sod(n) for n = 142434392 and 142434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142434421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260119 + ... + 260665.

Almost surely, 2142434424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147590100).

142434424 is an abundant number, since it is smaller than the sum of its proper divisors (152745776).

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

142434424 is a wasteful number, since it uses less digits than its factorization.

142434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 829 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 142434424 is about 11934.5893938585. The cubic root of 142434424 is about 522.2418299832.

Adding to 142434424 its reverse (424434241), we get a palindrome (566868665).

The spelling of 142434424 in words is "one hundred forty-two million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 269 484 538 547 968 1076 1094 2152 2188 2959 4376 5918 6017 11836 12034 23672 24068 32549 48136 65098 66187 130196 132374 147143 260392 264748 294286 529496 588572 1177144 1618573 3237146 6474292 12948584 17804303 35608606 71217212 142434424