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44442004440 = 2335370350037
BaseRepresentation
bin101001011000111100…
…110010101111011000
311020201020110202001110
4221120330302233120
51212004123120230
632225534220320
73132212543031
oct513074625730
9136636422043
1044442004440
1117936397799
1287436546a0
134263431562
1422184dba88
15125196b4b0
hexa58f32bd8

44442004440 has 32 divisors (see below), whose sum is σ = 133326013680. Its totient is φ = 11851201152.

The previous prime is 44442004393. The next prime is 44442004447. The reversal of 44442004440 is 4440024444.

It is a super-3 number, since 3×444420044403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44442004398 and 44442004407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442004447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185174899 + ... + 185175138.

Almost surely, 244442004440 is an apocalyptic number.

44442004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44442004440 is an abundant number, since it is smaller than the sum of its proper divisors (88884009240).

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

44442004440 is a wasteful number, since it uses less digits than its factorization.

44442004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370350051 (or 370350047 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44442004440 its reverse (4440024444), we get a palindrome (48882028884).

The spelling of 44442004440 in words is "forty-four billion, four hundred forty-two million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 370350037 740700074 1111050111 1481400148 1851750185 2222100222 2962800296 3703500370 4444200444 5555250555 7407000740 8888400888 11110501110 14814001480 22221002220 44442004440