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444743347444 = 221143923024609
BaseRepresentation
bin1100111100011001100…
…01001110110011110100
31120111221221001220221021
412132030301032303310
524241313244104234
6540151241230524
744063104036054
oct6361461166364
91514857056837
10444743347444
111616840305a0
127223b792444
1332c2931aa66
1417750703564
15b87ea3b9b4
hex678cc4ecf4

444743347444 has 24 divisors (see below), whose sum is σ = 850989585600. Its totient is φ = 201695566080.

The previous prime is 444743347423. The next prime is 444743347519.

444743347444 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4447433474444 (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444743347391 and 444743347400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11492989 + ... + 11531620.

It is an arithmetic number, because the mean of its divisors is an integer number (35457899400).

Almost surely, 2444743347444 is an apocalyptic number.

444743347444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444743347444 is a deficient number, since it is larger than the sum of its proper divisors (406246238156).

444743347444 is a wasteful number, since it uses less digits than its factorization.

444743347444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025063 (or 23025061 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 52.

The spelling of 444743347444 in words is "four hundred forty-four billion, seven hundred forty-three million, three hundred forty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 439 878 1756 4829 9658 19316 23024609 46049218 92098436 253270699 506541398 1013082796 10107803351 20215606702 40431213404 111185836861 222371673722 444743347444