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21342342240 = 2533513736061
BaseRepresentation
bin10011111000000110…
…100100110001100000
32001002101101022122000
4103320012210301200
5322202114422430
613445440244000
71353611626062
oct237006446140
961071338560
1021342342240
11906221767a
124177610600
13202181959b
1410666a9732
1584da21e60
hex4f81a4c60

21342342240 has 192 divisors, whose sum is σ = 75245526720. Its totient is φ = 5649592320.

The previous prime is 21342342239. The next prime is 21342342277. The reversal of 21342342240 is 4224324312.

21342342240 is a `hidden beast` number, since 2 + 13 + 423 + 4 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 573810 + ... + 609870.

It is an arithmetic number, because the mean of its divisors is an integer number (391903785).

Almost surely, 221342342240 is an apocalyptic number.

21342342240 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 21342342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622763360).

21342342240 is an abundant number, since it is smaller than the sum of its proper divisors (53903184480).

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

21342342240 is a wasteful number, since it uses less digits than its factorization.

21342342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36222 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21342342240 its reverse (4224324312), we get a palindrome (25566666552).

The spelling of 21342342240 in words is "twenty-one billion, three hundred forty-two million, three hundred forty-two thousand, two hundred forty".