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444323202323444 = 22684134729467549
BaseRepresentation
bin110010100000111000000111…
…0101000111101001111110100
32011021012212211221002000022022
41211001300032220331033310
5431214242404243322234
64212555132232452312
7162406202106306533
oct14501601650751764
92137185757060268
10444323202323444
11119636459258654
1241a0099154a098
13160c06626ba6c2
147ba15018bc31a
153657ced43be2e
hex1941c0ea3d3f4

444323202323444 has 24 divisors (see below), whose sum is σ = 777703322781000. Its totient is φ = 222122254993920.

The previous prime is 444323202323359. The next prime is 444323202323471.

444323202323444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 15692927644900 + 428630274678544 = 3961430^2 + 20703388^2 .

It is a super-2 number, since 2×4443232023234442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444323202323395 and 444323202323404.

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, 950090582 + ... + 950558130.

It is an arithmetic number, because the mean of its divisors is an integer number (32404305115875).

Almost surely, 2444323202323444 is an apocalyptic number.

It is an amenable number.

444323202323444 is a deficient number, since it is larger than the sum of its proper divisors (333380120457556).

444323202323444 is a wasteful number, since it uses less digits than its factorization.

444323202323444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509123 (or 509121 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

It can be divided in two parts, 44432320 and 2323444, that added together give a palindrome (46755764).

The spelling of 444323202323444 in words is "four hundred forty-four trillion, three hundred twenty-three billion, two hundred two million, three hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 6841 13682 27364 34729 69458 138916 467549 935098 1870196 237581089 475162178 950324356 3198502709 6397005418 12794010836 16237509221 32475018442 64950036884 111080800580861 222161601161722 444323202323444