Search a number
-
+
426446104320 = 283851729103
BaseRepresentation
bin1100011010010100010…
…10110010011100000000
31111202201202120200000000
412031022022302130000
523441330200314240
6523523500000000
742544506035655
oct6151212623400
91452652520000
10426446104320
11154944787a65
126a793b30000
13312a1646492
14168d661dc2c
15b15d51b430
hex634a2b2700

426446104320 has 1296 divisors, whose sum is σ = 1694487936960. Its totient is φ = 102335643648.

The previous prime is 426446104277. The next prime is 426446104321. The reversal of 426446104320 is 23401644624.

426446104320 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 4 + 610 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426446104321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4140253389 + ... + 4140253491.

It is an arithmetic number, because the mean of its divisors is an integer number (1307475260).

Almost surely, 2426446104320 is an apocalyptic number.

426446104320 is a gapful number since it is divisible by the number (40) 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 426446104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847243968480).

426446104320 is an abundant number, since it is smaller than the sum of its proper divisors (1268041832640).

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

426446104320 is an equidigital number, since it uses as much as digits as its factorization.

426446104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 426446104320 its reverse (23401644624), we get a palindrome (449847748944).

The spelling of 426446104320 in words is "four hundred twenty-six billion, four hundred forty-six million, one hundred four thousand, three hundred twenty".