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32343042144 = 2537192838951
BaseRepresentation
bin11110000111110010…
…111010100001100000
310002111001010202221210
4132013302322201200
51012214304322034
622505211350120
72223330215340
oct360762724140
9102431122853
1032343042144
11127978932a6
126327752340
13308592a67a
1417cb6bcd20
15c9469d8e9
hex787cba860

32343042144 has 192 divisors, whose sum is σ = 102508277760. Its totient is φ = 8722598400.

The previous prime is 32343042143. The next prime is 32343042157. The reversal of 32343042144 is 44124034323.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32343042143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3608869 + ... + 3617819.

It is an arithmetic number, because the mean of its divisors is an integer number (533897280).

Almost surely, 232343042144 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 32343042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51254138880).

32343042144 is an abundant number, since it is smaller than the sum of its proper divisors (70165235616).

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

32343042144 is a wasteful number, since it uses less digits than its factorization.

32343042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 32343042144 its reverse (44124034323), we get a palindrome (76467076467).

The spelling of 32343042144 in words is "thirty-two billion, three hundred forty-three million, forty-two thousand, one hundred forty-four".