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444501431 = 11176593607
BaseRepresentation
bin11010011111101…
…000110110110111
31010222102000022222
4122133220312313
51402243021211
6112035112555
714005125353
oct3237506667
91128360288
10444501431
11208a00560
12104a4275b
1371122cca
144306a463
15290541db
hex1a7e8db7

444501431 has 16 divisors (see below), whose sum is σ = 514356480. Its totient is φ = 379639680.

The previous prime is 444501391. The next prime is 444501451. The reversal of 444501431 is 134105444.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 444501431 - 26 = 444501367 is a prime.

It is a super-2 number, since 2×4445014312 = 395163044322095522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444501431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444501451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121430 + ... + 125036.

It is an arithmetic number, because the mean of its divisors is an integer number (32147280).

Almost surely, 2444501431 is an apocalyptic number.

444501431 is a deficient number, since it is larger than the sum of its proper divisors (69855049).

444501431 is a wasteful number, since it uses less digits than its factorization.

444501431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294.

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

The square root of 444501431 is about 21083.2025793047. The cubic root of 444501431 is about 763.1754436358.

Adding to 444501431 its reverse (134105444), we get a palindrome (578606875).

The spelling of 444501431 in words is "four hundred forty-four million, five hundred one thousand, four hundred thirty-one".

Divisors: 1 11 17 187 659 3607 7249 11203 39677 61319 123233 674509 2377013 26147143 40409221 444501431