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142223460444 = 223313831996133
BaseRepresentation
bin1000010001110100101…
…1011100100001011100
3111121002210112101002000
42010131023130201130
54312233201213234
6145200410202300
713163300316162
oct2043513344134
9447083471060
10142223460444
115535348795a
1223692423390
1310547418b70
146c52a55232
153a76024899
hex211d2dc85c

142223460444 has 192 divisors, whose sum is σ = 403960704000. Its totient is φ = 43009553664.

The previous prime is 142223460439. The next prime is 142223460451. The reversal of 142223460444 is 444064322241.

142223460444 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 3 + 4 + 604 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142223460399 and 142223460408.

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 63 ways as a sum of consecutive naturals, for example, 23186802 + ... + 23192934.

It is an arithmetic number, because the mean of its divisors is an integer number (2103962000).

Almost surely, 2142223460444 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 142223460444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201980352000).

142223460444 is an abundant number, since it is smaller than the sum of its proper divisors (261737243556).

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

142223460444 is a wasteful number, since it uses less digits than its factorization.

142223460444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 142223460444 its reverse (444064322241), we get a palindrome (586287782685).

The spelling of 142223460444 in words is "one hundred forty-two billion, two hundred twenty-three million, four hundred sixty thousand, four hundred forty-four".