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44202004416 = 26323713715139
BaseRepresentation
bin101001001010101001…
…010000111111000000
311020002111212110220200
4221022221100333000
51211011203120131
632150042205200
73123236560353
oct511251207700
9136074773820
1044202004416
1117822974169
1286971b3800
1342257b06cb
1421d46a629a
15123a8602e6
hexa4aa50fc0

44202004416 has 168 divisors, whose sum is σ = 131079758160. Its totient is φ = 14230204416.

The previous prime is 44202004393. The next prime is 44202004423. The reversal of 44202004416 is 61440020244.

It is a happy number.

44202004416 is a `hidden beast` number, since 4 + 42 + 0 + 200 + 4 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44202004416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2912175 + ... + 2927313.

Almost surely, 244202004416 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 44202004416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65539879080).

44202004416 is an abundant number, since it is smaller than the sum of its proper divisors (86877753744).

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

44202004416 is a wasteful number, since it uses less digits than its factorization.

44202004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 44202004416 in words is "forty-four billion, two hundred two million, four thousand, four hundred sixteen".