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44053020000 = 25325411191171
BaseRepresentation
bin101001000001110000…
…111011110101100000
311012201010112021201100
4221001300323311200
51210210033120000
632123201034400
73116450330433
oct510160736540
9135633467640
1044053020000
1117756865a50
128655325a00
134200978b52
1421bc9a381a
15122c731a00
hexa41c3bd60

44053020000 has 720 divisors, whose sum is σ = 179917657920. Its totient is φ = 10108800000.

The previous prime is 44053019963. The next prime is 44053020007. The reversal of 44053020000 is 2035044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×440530200002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44053020007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37619415 + ... + 37620585.

It is an arithmetic number, because the mean of its divisors is an integer number (249885636).

Almost surely, 244053020000 is an apocalyptic number.

44053020000 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 44053020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89958828960).

44053020000 is an abundant number, since it is smaller than the sum of its proper divisors (135864637920).

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

44053020000 is a wasteful number, since it uses less digits than its factorization.

44053020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 44053020000 its reverse (2035044), we get a palindrome (44055055044).

The spelling of 44053020000 in words is "forty-four billion, fifty-three million, twenty thousand".