Search a number
-
+
440144325 = 32522418117
BaseRepresentation
bin11010001111000…
…001000111000101
31010200012122111200
4122033001013011
51400134104300
6111401453113
713623110415
oct3217010705
91120178450
10440144325
112064a4a45
121034a1199
1370258a3a
1442654645
1528993200
hex1a3c11c5

440144325 has 36 divisors (see below), whose sum is σ = 791716068. Its totient is φ = 233740800.

The previous prime is 440144323. The next prime is 440144333. The reversal of 440144325 is 523441044.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22268961 + 417875364 = 4719^2 + 20442^2 .

It is not a de Polignac number, because 440144325 - 21 = 440144323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440144321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50167 + ... + 58283.

It is an arithmetic number, because the mean of its divisors is an integer number (21992113).

Almost surely, 2440144325 is an apocalyptic number.

440144325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

440144325 is a deficient number, since it is larger than the sum of its proper divisors (351571743).

440144325 is a wasteful number, since it uses less digits than its factorization.

440144325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8366 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 440144325 is about 20979.6168935469. The cubic root of 440144325 is about 760.6736438362.

Adding to 440144325 its reverse (523441044), we get a palindrome (963585369).

The spelling of 440144325 in words is "four hundred forty million, one hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 241 723 1205 2169 3615 6025 8117 10845 18075 24351 40585 54225 73053 121755 202925 365265 608775 1826325 1956197 5868591 9780985 17605773 29342955 48904925 88028865 146714775 440144325