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440131431 = 3601124407
BaseRepresentation
bin11010001110111…
…101111101100111
31010200011222211010
4122032331331213
51400133201211
6111401313303
713623025005
oct3216757547
91120158733
10440131431
11206496293
12103495833
1370252bcc
144264da75
152898e4a6
hex1a3bdf67

440131431 has 8 divisors (see below), whose sum is σ = 586963584. Its totient is φ = 293360120.

The previous prime is 440131387. The next prime is 440131457. The reversal of 440131431 is 134131044.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 440131431 - 29 = 440130919 is a prime.

It is a super-3 number, since 3×4401314313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 440131398 and 440131407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440131481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5830 + ... + 30236.

It is an arithmetic number, because the mean of its divisors is an integer number (73370448).

Almost surely, 2440131431 is an apocalyptic number.

440131431 is a deficient number, since it is larger than the sum of its proper divisors (146832153).

440131431 is a wasteful number, since it uses less digits than its factorization.

440131431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30421.

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

The square root of 440131431 is about 20979.3095930252. The cubic root of 440131431 is about 760.6662158017. Note that the first 3 decimals are identical.

Adding to 440131431 its reverse (134131044), we get a palindrome (574262475).

The spelling of 440131431 in words is "four hundred forty million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 6011 18033 24407 73221 146710477 440131431