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142378683561 = 321257772
BaseRepresentation
bin1000010010011001101…
…1100100110010101001
3111121111121121112011100
42010212123210302221
54313042420333221
6145224033152013
713200163561542
oct2044633446251
9447447545140
10142378683561
1155423067324
12237163bb609
131057062626a
146c694dd4c9
153a84986926
hex21266e4ca9

142378683561 has 9 divisors (see below), whose sum is σ = 205659733591. Its totient is φ = 94918367712.

The previous prime is 142378683547. The next prime is 142378683589. The reversal of 142378683561 is 165386873241.

The square root of 142378683561 is 377331.

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

142378683561 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 78 + 6 + 8 + 3 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49197458025 + 93181225536 = 221805^2 + 305256^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 142378683561 - 217 = 142378552489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142378683498 and 142378683507.

It is not an unprimeable number, because it can be changed into a prime (142378683061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1069105 + ... + 1194881.

Almost surely, 2142378683561 is an apocalyptic number.

142378683561 is the 377331-st square number.

142378683561 is the 188666-th centered octagonal number.

It is an amenable number.

142378683561 is a deficient number, since it is larger than the sum of its proper divisors (63281050030).

142378683561 is an frugal number, since it uses more digits than its factorization.

142378683561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251560 (or 125780 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 142378683561 in words is "one hundred forty-two billion, three hundred seventy-eight million, six hundred eighty-three thousand, five hundred sixty-one".

Divisors: 1 3 9 125777 377331 1131993 15819853729 47459561187 142378683561