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21344342240 = 2551323503887
BaseRepresentation
bin10011111000001110…
…001101000011100000
32001002112010221010002
4103320032031003200
5322203122422430
613445551155132
71353634626014
oct237016150340
961075127102
1021344342240
119063363271
124178215aa8
132022069a10
141066a6a544
1584dcb9845
hex4f838d0e0

21344342240 has 192 divisors, whose sum is σ = 56842684416. Its totient is φ = 7514867712.

The previous prime is 21344342219. The next prime is 21344342251. The reversal of 21344342240 is 4224344312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24063077 + ... + 24063963.

It is an arithmetic number, because the mean of its divisors is an integer number (296055648).

Almost surely, 221344342240 is an apocalyptic number.

21344342240 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 21344342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28421342208).

21344342240 is an abundant number, since it is smaller than the sum of its proper divisors (35498342176).

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

21344342240 is a wasteful number, since it uses less digits than its factorization.

21344342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 21344342240 its reverse (4224344312), we get a palindrome (25568686552).

The spelling of 21344342240 in words is "twenty-one billion, three hundred forty-four million, three hundred forty-two thousand, two hundred forty".