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142214302224 = 243229831133631
BaseRepresentation
bin1000010001110010100…
…0100000101000010000
3111121002011022002100200
42010130220200220100
54312223330132344
6145155442015200
713163126423631
oct2043450405020
9447064262320
10142214302224
11553492a2185
122368b347500
13105455604b7
146c5174d888
153a75316069
hex211ca20a10

142214302224 has 240 divisors, whose sum is σ = 420490586880. Its totient is φ = 44806164480.

The previous prime is 142214302207. The next prime is 142214302229. The reversal of 142214302224 is 422203412241.

It is a happy number.

142214302224 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 430 + 2 + 224 = 666.

It is a super-2 number, since 2×1422143022242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142214302229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39164889 + ... + 39168519.

It is an arithmetic number, because the mean of its divisors is an integer number (1752044112).

Almost surely, 2142214302224 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 142214302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210245293440).

142214302224 is an abundant number, since it is smaller than the sum of its proper divisors (278276284656).

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

142214302224 is a wasteful number, since it uses less digits than its factorization.

142214302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3861 counting only the distinct ones).

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

Adding to 142214302224 its reverse (422203412241), we get a palindrome (564417714465).

The spelling of 142214302224 in words is "one hundred forty-two billion, two hundred fourteen million, three hundred two thousand, two hundred twenty-four".