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20341321440 = 253511172359167
BaseRepresentation
bin10010111100011011…
…111110111011100000
31221111121210012020120
4102330123332323200
5313124334241230
613202241040240
71320035244066
oct227433767340
957447705216
1020341321440
118699166960
123b38326080
131bc231289b
14dad774036
157e0bdd310
hex4bc6feee0

20341321440 has 768 divisors, whose sum is σ = 79009136640. Its totient is φ = 4337991680.

The previous prime is 20341321439. The next prime is 20341321501. The reversal of 20341321440 is 4412314302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20341321440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121804237 + ... + 121804403.

It is an arithmetic number, because the mean of its divisors is an integer number (102876480).

Almost surely, 220341321440 is an apocalyptic number.

20341321440 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 20341321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39504568320).

20341321440 is an abundant number, since it is smaller than the sum of its proper divisors (58667815200).

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

20341321440 is a wasteful number, since it uses less digits than its factorization.

20341321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20341321440 its reverse (4412314302), we get a palindrome (24753635742).

The spelling of 20341321440 in words is "twenty billion, three hundred forty-one million, three hundred twenty-one thousand, four hundred forty".