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44250000000 = 2735959
BaseRepresentation
bin101001001101100000…
…010110101010000000
311020012212011220110220
4221031200112222000
51211111000000000
632154515023040
73124361536233
oct511540265200
9136185156426
1044250000000
1117847a75a38
1286ab29aa80
13423271666b
1421dabdb41a
15123eb911a0
hexa4d816a80

44250000000 has 320 divisors, whose sum is σ = 149414047200. Its totient is φ = 11600000000.

The previous prime is 44249999957. The next prime is 44250000017. The reversal of 44250000000 is 5244.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 749999971 + ... + 750000029.

Almost surely, 244250000000 is an apocalyptic number.

44250000000 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 44250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707023600).

44250000000 is an abundant number, since it is smaller than the sum of its proper divisors (105164047200).

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

44250000000 is an frugal number, since it uses more digits than its factorization.

44250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 44250000000 its reverse (5244), we get a palindrome (44250005244).

The spelling of 44250000000 in words is "forty-four billion, two hundred fifty million", and thus it is an aban number.