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2041141440 = 263513223547
BaseRepresentation
bin111100110101001…
…0101100011000000
312021020202201200010
41321222111203000
513140013011230
6534312424520
7101403262452
oct17152254300
95236681603
102041141440
11958197858
1248b6a8140
13266b50600
141551282d2
15be2dc9b0
hex79a958c0

2041141440 has 336 divisors, whose sum is σ = 7335975168. Its totient is φ = 479711232.

The previous prime is 2041141439. The next prime is 2041141451. The reversal of 2041141440 is 441411402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731247 + ... + 3731793.

Almost surely, 22041141440 is an apocalyptic number.

2041141440 is a gapful number since it is divisible by the number (20) 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 2041141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667987584).

2041141440 is an abundant number, since it is smaller than the sum of its proper divisors (5294833728).

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

2041141440 is a wasteful number, since it uses less digits than its factorization.

2041141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2041141440 is about 45178.9933486792. The cubic root of 2041141440 is about 1268.5016408557.

Adding to 2041141440 its reverse (441411402), we get a palindrome (2482552842).

The spelling of 2041141440 in words is "two billion, forty-one million, one hundred forty-one thousand, four hundred forty".