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142292665089 = 3846572
BaseRepresentation
bin1000010010000101001…
…1011100001100000001
3111121021121202100000000
42010201103130030001
54312403410240324
6145211321350213
713165100461041
oct2044123341401
9447247670000
10142292665089
1155389555383
12236b1638369
1310558869663
146c5bd0b721
153a7c1449c9
hex21214dc301

142292665089 has 27 divisors (see below), whose sum is σ = 213473993187. Its totient is φ = 94841407008.

The previous prime is 142292665079. The next prime is 142292665187. The reversal of 142292665089 is 980566292241.

The square root of 142292665089 is 377217.

It is a perfect power (a square), and thus also a powerful number.

142292665089 is a `hidden beast` number, since 1 + 42 + 2 + 92 + 6 + 6 + 508 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17112564225 + 125180100864 = 130815^2 + 353808^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 142292665089 - 213 = 142292656897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142292665079) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 30552249 + ... + 30556905.

Almost surely, 2142292665089 is an apocalyptic number.

142292665089 is the 377217-th square number.

142292665089 is the 188609-th centered octagonal number.

It is an amenable number.

142292665089 is a deficient number, since it is larger than the sum of its proper divisors (71181328098).

142292665089 is an frugal number, since it uses more digits than its factorization.

142292665089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 142292665089 in words is "one hundred forty-two billion, two hundred ninety-two million, six hundred sixty-five thousand, eighty-nine".

Divisors: 1 3 9 27 81 243 729 2187 4657 6561 13971 41913 125739 377217 1131651 3394953 10184859 21687649 30554577 65062947 195188841 585566523 1756699569 5270098707 15810296121 47430888363 142292665089