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142587804384 = 25364722767
BaseRepresentation
bin1000010011001011100…
…1010011101011100000
3111122001012002222000000
42010302321103223200
54314004434220014
6145300503300000
713205313224334
oct2046271235340
9448035088000
10142587804384
1155520109953
122377444a600
13105a4a54bac
146c891b77c4
153a97ee3509
hex2132e53ae0

142587804384 has 252 divisors, whose sum is σ = 430188063984. Its totient is φ = 46501195392.

The previous prime is 142587804379. The next prime is 142587804409. The reversal of 142587804384 is 483408785241.

142587804384 is a `hidden beast` number, since 1 + 4 + 258 + 7 + 8 + 0 + 4 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 142587804384.

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 41 ways as a sum of consecutive naturals, for example, 51530169 + ... + 51532935.

It is an arithmetic number, because the mean of its divisors is an integer number (1707095492).

Almost surely, 2142587804384 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 142587804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215094031992).

142587804384 is an abundant number, since it is smaller than the sum of its proper divisors (287600259600).

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

142587804384 is an frugal number, since it uses more digits than its factorization.

142587804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 142587804384 in words is "one hundred forty-two billion, five hundred eighty-seven million, eight hundred four thousand, three hundred eighty-four".