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342122144232 = 233111295917213
BaseRepresentation
bin1001111101010000001…
…00011010000111101000
31012201002002011122212010
410332220010122013220
521101131232103412
6421100240515520
733501051146511
oct4765004320750
91181062148763
10342122144232
11122103038750
125638001bba0
13263537533cb
14127b74c1a08
158d7563433c
hex4fa811a1e8

342122144232 has 32 divisors (see below), whose sum is σ = 933060394080. Its totient is φ = 103673376960.

The previous prime is 342122144227. The next prime is 342122144257. The reversal of 342122144232 is 232441221243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 342122144232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647958343 + ... + 647958870.

It is an arithmetic number, because the mean of its divisors is an integer number (29158137315).

Almost surely, 2342122144232 is an apocalyptic number.

It is an amenable number.

342122144232 is an abundant number, since it is smaller than the sum of its proper divisors (590938249848).

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

342122144232 is a wasteful number, since it uses less digits than its factorization.

342122144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295917233 (or 1295917229 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 342122144232 its reverse (232441221243), we get a palindrome (574563365475).

The spelling of 342122144232 in words is "three hundred forty-two billion, one hundred twenty-two million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1295917213 2591834426 3887751639 5183668852 7775503278 10367337704 14255089343 15551006556 28510178686 31102013112 42765268029 57020357372 85530536058 114040714744 171061072116 342122144232