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44304848640 = 283551310957
BaseRepresentation
bin101001010000110001…
…100101011100000000
311020100200101111200000
4221100301211130000
51211214020124030
632204154400000
73125625666633
oct512061453400
9136320344600
1044304848640
1117875a28598
128705730000
134240bab990
1422041d7c1a
1512448c7860
hexa50c65700

44304848640 has 432 divisors, whose sum is σ = 171211473888. Its totient is φ = 10904813568.

The previous prime is 44304848633. The next prime is 44304848657. The reversal of 44304848640 is 4684840344.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×443048486402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4038042 + ... + 4048998.

Almost surely, 244304848640 is an apocalyptic number.

44304848640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44304848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85605736944).

44304848640 is an abundant number, since it is smaller than the sum of its proper divisors (126906625248).

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

44304848640 is a wasteful number, since it uses less digits than its factorization.

44304848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 44304848640 in words is "forty-four billion, three hundred four million, eight hundred forty-eight thousand, six hundred forty".