Search a number
-
+
1444031225 = 52721390677
BaseRepresentation
bin101011000010010…
…0010101011111001
310201122012101102222
41112010202223321
510424132444400
6355142333425
750533030400
oct12604425371
93648171388
101444031225
1168113303a
1234372a275
131a0227160
14d9ad4637
1586b91185
hex56122af9

1444031225 has 36 divisors (see below), whose sum is σ = 2243192364. Its totient is φ = 914014080.

The previous prime is 1444031161. The next prime is 1444031231. The reversal of 1444031225 is 5221304441.

It can be written as a sum of positive squares in 6 ways, for example, as 551874064 + 892157161 = 23492^2 + 29869^2 .

It is not a de Polignac number, because 1444031225 - 26 = 1444031161 is a prime.

It is a super-3 number, since 3×14440312253 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1444031194 and 1444031203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29414 + ... + 61263.

It is an arithmetic number, because the mean of its divisors is an integer number (62310899).

Almost surely, 21444031225 is an apocalyptic number.

It is an amenable number.

1444031225 is a deficient number, since it is larger than the sum of its proper divisors (799161139).

1444031225 is a wasteful number, since it uses less digits than its factorization.

1444031225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90714 (or 90702 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1444031225 is about 38000.4108530421. The cubic root of 1444031225 is about 1130.2960106337.

Adding to 1444031225 its reverse (5221304441), we get a palindrome (6665335666).

The spelling of 1444031225 in words is "one billion, four hundred forty-four million, thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 175 245 325 455 637 1225 2275 3185 15925 90677 453385 634739 1178801 2266925 3173695 4443173 5894005 8251607 15868475 22215865 29470025 41258035 57761249 111079325 206290175 288806245 1444031225