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2441041344 = 26327718527
BaseRepresentation
bin1001000101111111…
…0101010111000000
320022010020202012200
42101133311113000
514444401310334
61042115553200
7114330336420
oct22137652700
96263222180
102441041344
1110429a4545
125815bb800
132cb958481
141922a4480
15e4481799
hex917f55c0

2441041344 has 168 divisors, whose sum is σ = 8109923328. Its totient is φ = 687536640.

The previous prime is 2441041327. The next prime is 2441041429. The reversal of 2441041344 is 4431401442.

2441041344 is a `hidden beast` number, since 244 + 1 + 0 + 413 + 4 + 4 = 666.

2441041344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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, 282009 + ... + 290535.

Almost surely, 22441041344 is an apocalyptic number.

2441041344 is a gapful number since it is divisible by the number (24) 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 2441041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054961664).

2441041344 is an abundant number, since it is smaller than the sum of its proper divisors (5668881984).

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

2441041344 is a wasteful number, since it uses less digits than its factorization.

2441041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8610 counting only the distinct ones).

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

The square root of 2441041344 is about 49406.8957130480. The cubic root of 2441041344 is about 1346.4545917496.

Adding to 2441041344 its reverse (4431401442), we get a palindrome (6872442786).

The spelling of 2441041344 in words is "two billion, four hundred forty-one million, forty-one thousand, three hundred forty-four".