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5041344000 = 29353711231
BaseRepresentation
bin1001011000111110…
…01100111000000000
3111000100011210212110
410230133030320000
540311041002000
62152125255320
7235633500630
oct45437147000
914010153773
105041344000
112157786400
12b88404540
136245a60b4
1435b7846c0
151e78c1850
hex12c7cce00

5041344000 has 960 divisors, whose sum is σ = 21734608896. Its totient is φ = 1013760000.

The previous prime is 5041343981. The next prime is 5041344029. The reversal of 5041344000 is 4431405.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162623985 + ... + 162624015.

Almost surely, 25041344000 is an apocalyptic number.

5041344000 is a gapful number since it is divisible by the number (50) 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 5041344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10867304448).

5041344000 is an abundant number, since it is smaller than the sum of its proper divisors (16693264896).

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

5041344000 is a wasteful number, since it uses less digits than its factorization.

5041344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5041344000 is about 71002.4224938840. The cubic root of 5041344000 is about 1714.6761650313.

Adding to 5041344000 its reverse (4431405), we get a palindrome (5045775405).

The spelling of 5041344000 in words is "five billion, forty-one million, three hundred forty-four thousand".