Search a number
-
+
144495015625 = 5630412
BaseRepresentation
bin1000011010010010010…
…0101111011011001001
3111210222002212022222101
42012210210233123021
54331411211000000
6150214033353401
713303502240062
oct2064444573311
9453862768871
10144495015625
115630973a994
1224007108861
1310819c11b5c
146dca5db569
153b5a677e6a
hex21a492f6c9

144495015625 has 21 divisors (see below), whose sum is σ = 180675870913. Its totient is φ = 115558000000.

The previous prime is 144495015607. The next prime is 144495015661. The reversal of 144495015625 is 526510594441.

The square root of 144495015625 is 380125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 137947616569 + 6547399056 = 371413^2 + 80916^2 .

It is not a de Polignac number, because 144495015625 - 217 = 144494884553 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 47514105 + ... + 47517145.

Almost surely, 2144495015625 is an apocalyptic number.

144495015625 is the 380125-th square number.

144495015625 is the 190063-rd centered octagonal number.

It is an amenable number.

144495015625 is a deficient number, since it is larger than the sum of its proper divisors (36180855288).

144495015625 is an frugal number, since it uses more digits than its factorization.

144495015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 144495015625 in words is "one hundred forty-four billion, four hundred ninety-five million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3041 3125 15205 15625 76025 380125 1900625 9247681 9503125 46238405 47515625 231192025 1155960125 5779800625 28899003125 144495015625