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444324423444 = 223113366094117
BaseRepresentation
bin1100111011100111100…
…11001010011100010100
31120110212201210101020120
412131303303022130110
524234434023022234
6540041514231540
744046526166226
oct6356363123424
91513781711216
10444324423444
1116148960a810
12721434255b0
1332b905b1a35
1417710c14416
15b857d8b049
hex6773cca714

444324423444 has 24 divisors (see below), whose sum is σ = 1131007623648. Its totient is φ = 134643764640.

The previous prime is 444324423443. The next prime is 444324423463.

444324423444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443244234442 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 444324423396 and 444324423405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444324423443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683046927 + ... + 1683047190.

It is an arithmetic number, because the mean of its divisors is an integer number (47125317652).

Almost surely, 2444324423444 is an apocalyptic number.

444324423444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444324423444 is an abundant number, since it is smaller than the sum of its proper divisors (686683200204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444324423444 is a wasteful number, since it uses less digits than its factorization.

444324423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366094135 (or 3366094133 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 444324 and 423444, that added together give a palindrome (867768).

The spelling of 444324423444 in words is "four hundred forty-four billion, three hundred twenty-four million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3366094117 6732188234 10098282351 13464376468 20196564702 37027035287 40393129404 74054070574 111081105861 148108141148 222162211722 444324423444