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342422130024 = 23361329155741
BaseRepresentation
bin1001111101110011111…
…00110000110101101000
31012201211222122112000000
410332321330300311220
521102240031130044
6421150114343000
733511353036612
oct4767174606550
91181758575000
10342422130024
11122247402497
125644458aa60
13263a09478b0
141280528ddb2
158d91b3dd69
hex4fb9f30d68

342422130024 has 224 divisors, whose sum is σ = 1072423837800. Its totient is φ = 101726876160.

The previous prime is 342422130023. The next prime is 342422130041. The reversal of 342422130024 is 420031224243.

342422130024 is a `hidden beast` number, since 3 + 424 + 2 + 213 + 0 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273405585924 + 69016544100 = 522882^2 + 262710^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 342422130024.

It is not an unprimeable number, because it can be changed into a prime (342422130023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2120794 + ... + 2276534.

Almost surely, 2342422130024 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 342422130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536211918900).

342422130024 is an abundant number, since it is smaller than the sum of its proper divisors (730001707776).

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

342422130024 is a wasteful number, since it uses less digits than its factorization.

342422130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155807 (or 155788 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 342422130024 its reverse (420031224243), we get a palindrome (762453354267).

The spelling of 342422130024 in words is "three hundred forty-two billion, four hundred twenty-two million, one hundred thirty thousand, twenty-four".