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142224032214 = 23211171371791723
BaseRepresentation
bin1000010001110100110…
…1101000000111010110
3111121002211121102101200
42010131031220013112
54312233323012324
6145200430333330
713163305220145
oct2043515500726
9447084542350
10142224032214
11553538384a0
122369265a246
13105475891a4
146c52b6375c
153a760d8ec9
hex211d3681d6

142224032214 has 192 divisors, whose sum is σ = 360750723840. Its totient is φ = 40018728960.

The previous prime is 142224032213. The next prime is 142224032221. The reversal of 142224032214 is 412230422241.

It is a happy number.

142224032214 is a `hidden beast` number, since 1 + 4 + 222 + 403 + 22 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142224032213) 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 95 ways as a sum of consecutive naturals, for example, 82543557 + ... + 82545279.

It is an arithmetic number, because the mean of its divisors is an integer number (1878910020).

Almost surely, 2142224032214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142224032214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180375361920).

142224032214 is an abundant number, since it is smaller than the sum of its proper divisors (218526691626).

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

142224032214 is a wasteful number, since it uses less digits than its factorization.

142224032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142224032214 its reverse (412230422241), we get a palindrome (554454454455).

The spelling of 142224032214 in words is "one hundred forty-two billion, two hundred twenty-four million, thirty-two thousand, two hundred fourteen".