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44430603444 = 22322129579701
BaseRepresentation
bin101001011000010001…
…010011010010110100
311020200110000111211100
4221120101103102310
51211443213302234
632224450010100
73132013620003
oct513021232264
9136613014740
1044430603444
111792aa0aa87
12873b876930
134260c6c0c6
142216bb0c3a
151250968399
hexa584534b4

44430603444 has 36 divisors (see below), whose sum is σ = 112363638660. Its totient is φ = 14803219200.

The previous prime is 44430603433. The next prime is 44430603449.

44430603444 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 0 + 603 + 4 + 44 = 666.

44430603444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6225210000 + 38205393444 = 78900^2 + 195462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×444306034442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44430603399 and 44430603408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44430603449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213207 + ... + 366494.

It is an arithmetic number, because the mean of its divisors is an integer number (3121212185).

Almost surely, 244430603444 is an apocalyptic number.

It is an amenable number.

44430603444 is an abundant number, since it is smaller than the sum of its proper divisors (67933035216).

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

44430603444 is a wasteful number, since it uses less digits than its factorization.

44430603444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581840 (or 581835 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 44430603444 in words is "forty-four billion, four hundred thirty million, six hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2129 4258 6387 8516 12774 19161 25548 38322 76644 579701 1159402 1739103 2318804 3478206 5217309 6956412 10434618 20869236 1234183429 2468366858 3702550287 4936733716 7405100574 11107650861 14810201148 22215301722 44430603444