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142344324144 = 2432114110121701
BaseRepresentation
bin1000010010010001100…
…0100000010000110000
3111121102012221212220100
42010210120200100300
54313010121333034
6145220404512400
713166265535401
oct2044430402060
9447365855810
10142344324144
1155405729610
12237069ab700
1310566485c49
146c64b179a8
153a8194b099
hex2124620430

142344324144 has 240 divisors, whose sum is σ = 449609535648. Its totient is φ = 41664000000.

The previous prime is 142344324139. The next prime is 142344324167. The reversal of 142344324144 is 441423443241.

142344324144 is a `hidden beast` number, since 1 + 4 + 234 + 4 + 3 + 2 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 142344324099 and 142344324108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6548494 + ... + 6570194.

Almost surely, 2142344324144 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 142344324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224804767824).

142344324144 is an abundant number, since it is smaller than the sum of its proper divisors (307265211504).

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

142344324144 is a wasteful number, since it uses less digits than its factorization.

142344324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21868 (or 21859 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 142344324144 its reverse (441423443241), we get a palindrome (583767767385).

The spelling of 142344324144 in words is "one hundred forty-two billion, three hundred forty-four million, three hundred twenty-four thousand, one hundred forty-four".