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142839188856225 = 32527967692
BaseRepresentation
bin100000011110100101010111…
…000111001001110110100001
3200201202021220122222021222100
4200132211113013021312201
5122210234124321344400
61223443230101401013
742041535154261251
oct4036452707116641
9621667818867870
10142839188856225
114157083a332504
121402b237409169
1361918a6c1b754
14273b64ca83961
15117a895e69100
hex81e9571c9da1

142839188856225 has 27 divisors (see below), whose sum is σ = 255841179360793. Its totient is φ = 76180805111040.

The previous prime is 142839188856191. The next prime is 142839188856233. The reversal of 142839188856225 is 522658881938241.

The square root of 142839188856225 is 11951535.

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

142839188856225 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 39 + 1 + 8 + 8 + 8 + 562 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23640220618641 + 119198968237584 = 4862121^2 + 10917828^2 .

It is not a de Polignac number, because 142839188856225 - 27 = 142839188856097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178874641 + ... + 179671409.

Almost surely, 2142839188856225 is an apocalyptic number.

142839188856225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142839188856225 is the 11951535-th square number.

142839188856225 is the 5975768-th centered octagonal number.

It is an amenable number.

142839188856225 is a deficient number, since it is larger than the sum of its proper divisors (113001990504568).

142839188856225 is an frugal number, since it uses more digits than its factorization.

142839188856225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593554 (or 796777 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 142839188856225 in words is "one hundred forty-two trillion, eight hundred thirty-nine billion, one hundred eighty-eight million, eight hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 796769 2390307 3983845 7170921 11951535 19919225 35854605 59757675 179273025 634840839361 1904522518083 3174204196805 5713567554249 9522612590415 15871020984025 28567837771245 47613062952075 142839188856225