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142284488112 = 24331324361743
BaseRepresentation
bin1000010010000011010…
…0001111110110110000
3111121021001100220022000
42010200310033312300
54312344312104422
6145210430214000
713164641123334
oct2044064176660
9447231326260
10142284488112
115538497a948
12236aa954300
1310556c65800
146c5abbd7c4
153a7b57bcac
hex2120d0fdb0

142284488112 has 480 divisors, whose sum is σ = 460564093440. Its totient is φ = 42004085760.

The previous prime is 142284488089. The next prime is 142284488113. The reversal of 142284488112 is 211884482241.

142284488112 is a `hidden beast` number, since 142 + 28 + 4 + 488 + 1 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142284488113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191499613 + ... + 191500355.

It is an arithmetic number, because the mean of its divisors is an integer number (959508528).

Almost surely, 2142284488112 is an apocalyptic number.

142284488112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142284488112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230282046720).

142284488112 is an abundant number, since it is smaller than the sum of its proper divisors (318279605328).

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

142284488112 is a wasteful number, since it uses less digits than its factorization.

142284488112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The spelling of 142284488112 in words is "one hundred forty-two billion, two hundred eighty-four million, four hundred eighty-eight thousand, one hundred twelve".