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440311431 = 3783252617
BaseRepresentation
bin11010001111101…
…001111010000111
31010200112010201210
4122033221322013
51400204431211
6111405222503
713624404540
oct3217517207
91120463653
10440311431
112065a954a
12103561a33
13702b6b11
14426994c7
15289c79a6
hex1a3e9e87

440311431 has 16 divisors (see below), whose sum is σ = 679037184. Its totient is φ = 248574144.

The previous prime is 440311427. The next prime is 440311451. The reversal of 440311431 is 134113044.

It is not a de Polignac number, because 440311431 - 22 = 440311427 is a prime.

It is a super-2 number, since 2×4403114312 = 387748312538535522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 440311398 and 440311407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440311451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124566 + ... + 128051.

It is an arithmetic number, because the mean of its divisors is an integer number (42439824).

Almost surely, 2440311431 is an apocalyptic number.

440311431 is a deficient number, since it is larger than the sum of its proper divisors (238725753).

440311431 is a wasteful number, since it uses less digits than its factorization.

440311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252710.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 440311431 is about 20983.5990954841. The cubic root of 440311431 is about 760.7698979052.

Adding to 440311431 its reverse (134113044), we get a palindrome (574424475).

The spelling of 440311431 in words is "four hundred forty million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 21 83 249 581 1743 252617 757851 1768319 5304957 20967211 62901633 146770477 440311431