Search a number
-
+
1444094907025 = 522403412
BaseRepresentation
bin10101000000111010110…
…000111001001010010001
312010001110110100011101111
4111000322300321022101
5142130001244011100
63023224045333321
7206222006115211
oct25007260711221
95101413304344
101444094907025
11507489a22611
121b3a60567241
13a624015a434
144dc74994241
152786e3b76ba
hex1503ac39291

1444094907025 has 9 divisors (see below), whose sum is σ = 1790685135313. Its totient is φ = 1155271118800.

The previous prime is 1444094907019. The next prime is 1444094907053. The reversal of 1444094907025 is 5207094904441.

The square root of 1444094907025 is 1201705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24413125009 + 1419681782016 = 156247^2 + 1191504^2 .

It is not a de Polignac number, because 1444094907025 - 219 = 1444094382737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1444094907025.

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 8 ways as a sum of consecutive naturals, for example, 5888355 + ... + 6128695.

Almost surely, 21444094907025 is an apocalyptic number.

1444094907025 is the 1201705-th square number.

1444094907025 is the 600853-rd centered octagonal number.

It is an amenable number.

1444094907025 is a deficient number, since it is larger than the sum of its proper divisors (346590228288).

1444094907025 is an frugal number, since it uses more digits than its factorization.

1444094907025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480692 (or 240346 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 1444094907025 by its sum of digits (49), we get a square (70760650444225 = 84119352).

The spelling of 1444094907025 in words is "one trillion, four hundred forty-four billion, ninety-four million, nine hundred seven thousand, twenty-five".

Divisors: 1 5 25 240341 1201705 6008525 57763796281 288818981405 1444094907025