Search a number
-
+
342122440144 = 2477041277549
BaseRepresentation
bin1001111101010000001…
…01100010010111010000
31012201002002201200202211
410332220011202113100
521101131321041034
6421100251121504
733501053521312
oct4765005422720
91181062650684
10342122440144
11122103220001
1256380143294
1326353827cc4
14127b755b7b2
158d75691d64
hex4fa81625d0

342122440144 has 20 divisors (see below), whose sum is σ = 662873220100. Its totient is φ = 171058383360.

The previous prime is 342122440111. The next prime is 342122440151. The reversal of 342122440144 is 441044221243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 171976090000 + 170146350144 = 414700^2 + 412488^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1093882 + ... + 1371430.

It is an arithmetic number, because the mean of its divisors is an integer number (33143661005).

Almost surely, 2342122440144 is an apocalyptic number.

It is an amenable number.

342122440144 is a deficient number, since it is larger than the sum of its proper divisors (320750779956).

342122440144 is a wasteful number, since it uses less digits than its factorization.

342122440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354598 (or 354592 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 342122440144 its reverse (441044221243), we get a palindrome (783166661387).

The spelling of 342122440144 in words is "three hundred forty-two billion, one hundred twenty-two million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 77041 154082 277549 308164 555098 616328 1110196 1232656 2220392 4440784 21382652509 42765305018 85530610036 171061220072 342122440144