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444131311 = 13234136229
BaseRepresentation
bin11010011110001…
…110011111101111
31010221201012121211
4122132032133233
51402144200221
6112023135251
714002024321
oct3236163757
91127635554
10444131311
11208778478
121048a4527
13710236c0
1442db1611
1528ece6e1
hex1a78e7ef

444131311 has 16 divisors (see below), whose sum is σ = 511277760. Its totient is φ = 382567680.

The previous prime is 444131299. The next prime is 444131321. The reversal of 444131311 is 113131444.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 444131311 - 25 = 444131279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444131321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5856 + ... + 30373.

It is an arithmetic number, because the mean of its divisors is an integer number (31954860).

Almost surely, 2444131311 is an apocalyptic number.

444131311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444131311 is a deficient number, since it is larger than the sum of its proper divisors (67146449).

444131311 is a wasteful number, since it uses less digits than its factorization.

444131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36306.

The product of its digits is 576, while the sum is 22.

The square root of 444131311 is about 21074.4231475028. The cubic root of 444131311 is about 762.9635621048.

Adding to 444131311 its reverse (113131444), we get a palindrome (557262755).

The spelling of 444131311 in words is "four hundred forty-four million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 13 23 41 299 533 943 12259 36229 470977 833267 1485389 10832471 19310057 34163947 444131311