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142444367424 = 26334110511913
BaseRepresentation
bin1000010010101001011…
…0001000111001000000
3111121200012012121111000
42010222112020321000
54313211224224144
6145234341052000
713201622100642
oct2045226107100
9447605177430
10142444367424
115545714a607
12237343b7000
1310581113358
146c7411a892
153a8a60d769
hex212a588e40

142444367424 has 224 divisors, whose sum is σ = 429606334080. Its totient is φ = 46255104000.

The previous prime is 142444367419. The next prime is 142444367447. The reversal of 142444367424 is 424763444241.

142444367424 is a `hidden beast` number, since 1 + 4 + 244 + 4 + 367 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142444367424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74460292 + ... + 74462204.

It is an arithmetic number, because the mean of its divisors is an integer number (1917885420).

Almost surely, 2142444367424 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 142444367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214803167040).

142444367424 is an abundant number, since it is smaller than the sum of its proper divisors (287161966656).

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

142444367424 is a wasteful number, since it uses less digits than its factorization.

142444367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3010 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 45.

The spelling of 142444367424 in words is "one hundred forty-two billion, four hundred forty-four million, three hundred sixty-seven thousand, four hundred twenty-four".