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142222252224 = 263131928310597
BaseRepresentation
bin1000010001110100011…
…0110101100011000000
3111121002201020222201010
42010131012311203000
54312232344032344
6145200324240520
713163254124523
oct2043506654300
9447081228633
10142222252224
1155352832128
1223691b40140
13105470b4c40
146c5281cbba
153a75d868b9
hex211d1b58c0

142222252224 has 224 divisors, whose sum is σ = 428118503680. Its totient is φ = 41307107328.

The previous prime is 142222252219. The next prime is 142222252231. The reversal of 142222252224 is 422252222241.

142222252224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142222252191 and 142222252200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13415694 + ... + 13426290.

It is an arithmetic number, because the mean of its divisors is an integer number (1911243320).

Almost surely, 2142222252224 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 142222252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214059251840).

142222252224 is an abundant number, since it is smaller than the sum of its proper divisors (285896251456).

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

142222252224 is a wasteful number, since it uses less digits than its factorization.

142222252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10917 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

Adding to 142222252224 its reverse (422252222241), we get a palindrome (564474474465).

The spelling of 142222252224 in words is "one hundred forty-two billion, two hundred twenty-two million, two hundred fifty-two thousand, two hundred twenty-four".