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444532235444 = 2211113357125037
BaseRepresentation
bin1100111100000000010…
…11111001110010110100
31120111102012211022201022
412132000023321302310
524240400223013234
6540114300320312
744054631441143
oct6360013716264
91514365738638
10444532235444
11161585948a70
12721a0b43098
1332bc4672a0b
141773066b75a
15b86b239e2e
hex67802f9cb4

444532235444 has 48 divisors (see below), whose sum is σ = 856436607936. Its totient is φ = 200207884800.

The previous prime is 444532235437. The next prime is 444532235449.

444532235444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444532235395 and 444532235404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444532235449) 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, 17742494 + ... + 17767530.

It is an arithmetic number, because the mean of its divisors is an integer number (17842429332).

Almost surely, 2444532235444 is an apocalyptic number.

444532235444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444532235444 is a deficient number, since it is larger than the sum of its proper divisors (411904372492).

444532235444 is a wasteful number, since it uses less digits than its factorization.

444532235444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28736 (or 28734 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 444532 and 235444, that added together give a palindrome (679976).

The spelling of 444532235444 in words is "four hundred forty-four billion, five hundred thirty-two million, two hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 113 226 452 1243 2486 3571 4972 7142 14284 25037 39281 50074 78562 100148 157124 275407 403523 550814 807046 1101628 1614092 2829181 4438753 5658362 8877506 11316724 17755012 31120991 62241982 89407127 124483964 178814254 357628508 983478397 1966956794 3933913588 10103005351 20206010702 40412021404 111133058861 222266117722 444532235444