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142012205280 = 2532511311372111
BaseRepresentation
bin1000010001000010010…
…1100100100011100000
3111120120002000111110200
42010100211210203200
54311320111032110
6145123422225200
713155123554001
oct2042045444340
9446502014420
10142012205280
1155255207810
1223633725200
13105127208ca
146c329831a8
153a626e56c0
hex21109648e0

142012205280 has 576 divisors, whose sum is σ = 549970477056. Its totient is φ = 33057792000.

The previous prime is 142012205213. The next prime is 142012205281. The reversal of 142012205280 is 82502210241.

142012205280 is a `hidden beast` number, since 1 + 420 + 12 + 205 + 28 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142012205281) 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, 67271425 + ... + 67273535.

It is an arithmetic number, because the mean of its divisors is an integer number (954809856).

Almost surely, 2142012205280 is an apocalyptic number.

142012205280 is a gapful number since it is divisible by the number (10) 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 142012205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274985238528).

142012205280 is an abundant number, since it is smaller than the sum of its proper divisors (407958271776).

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

142012205280 is a wasteful number, since it uses less digits than its factorization.

142012205280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 142012205280 in words is "one hundred forty-two billion, twelve million, two hundred five thousand, two hundred eighty".