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440432041 = 7228013209
BaseRepresentation
bin11010010000000…
…111010110101001
31010200202021011211
4122100013112221
51400222311131
6111411553121
713625416300
oct3220072651
91120667154
10440432041
11206681125
121035bb7a1
137032999a
14426cb437
15289ed5b1
hex1a4075a9

440432041 has 12 divisors (see below), whose sum is σ = 512681940. Its totient is φ = 377260800.

The previous prime is 440432029. The next prime is 440432081. The reversal of 440432041 is 140234044.

It can be written as a sum of positive squares in 2 ways, for example, as 236513641 + 203918400 = 15379^2 + 14280^2 .

It is not a de Polignac number, because 440432041 - 215 = 440399273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440432021) 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 11 ways as a sum of consecutive naturals, for example, 135645 + ... + 138853.

It is an arithmetic number, because the mean of its divisors is an integer number (42723495).

Almost surely, 2440432041 is an apocalyptic number.

It is an amenable number.

440432041 is a deficient number, since it is larger than the sum of its proper divisors (72249899).

440432041 is a wasteful number, since it uses less digits than its factorization.

440432041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 440432041 is about 20986.4728098840. The cubic root of 440432041 is about 760.8393548654.

Adding to 440432041 its reverse (140234044), we get a palindrome (580666085).

The spelling of 440432041 in words is "four hundred forty million, four hundred thirty-two thousand, forty-one".

Divisors: 1 7 49 2801 3209 19607 22463 137249 157241 8988409 62918863 440432041