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444422224444 = 2211101100005001
BaseRepresentation
bin1100111011110011010…
…00001111101000111100
31120111010112211011222211
412131321220033220330
524240134042140234
6540055330350204
744052124402312
oct6357150175074
91514115734884
10444422224444
1116152983a090
127217012b364
1332ba7935653
141771dbd20b2
15b861759164
hex6779a0fa3c

444422224444 has 24 divisors (see below), whose sum is σ = 856842857136. Its totient is φ = 200010000000.

The previous prime is 444422224403. The next prime is 444422224471.

444422224444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4444222244443 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444422224397 and 444422224406.

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, 49998057 + ... + 50006944.

It is an arithmetic number, because the mean of its divisors is an integer number (35701785714).

Almost surely, 2444422224444 is an apocalyptic number.

444422224444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444422224444 is a deficient number, since it is larger than the sum of its proper divisors (412420632692).

444422224444 is a wasteful number, since it uses less digits than its factorization.

444422224444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100005117 (or 100005115 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 40.

It can be divided in two parts, 444422 and 224444, that added together give a palindrome (668866).

The spelling of 444422224444 in words is "four hundred forty-four billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4444 100005001 200010002 400020004 1100055011 2200110022 4400220044 10100505101 20201010202 40402020404 111105556111 222211112222 444422224444