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44404440444 = 22327133729901
BaseRepresentation
bin101001010110101101…
…011111110101111100
311020121121210021221100
4221112231133311330
51211420014043234
632222113133100
73131245342020
oct512655376574
9136547707840
1044404440444
1117917170371
128732b5a190
13425870b740
142213520380
15124d4eb399
hexa56b5fd7c

44404440444 has 216 divisors, whose sum is σ = 141996105888. Its totient is φ = 11393395200.

The previous prime is 44404440427. The next prime is 44404440449.

44404440444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444044404442 (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).

44404440444 is a modest number, since divided by 4440444 gives 444 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 44404440399 and 44404440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404440449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4479894 + ... + 4489794.

Almost surely, 244404440444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44404440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70998052944).

44404440444 is an abundant number, since it is smaller than the sum of its proper divisors (97591665444).

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

44404440444 is a wasteful number, since it uses less digits than its factorization.

44404440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

The spelling of 44404440444 in words is "forty-four billion, four hundred four million, four hundred forty thousand, four hundred forty-four".