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441430421432 = 2371113210141983
BaseRepresentation
bin1100110110001110100…
…11011010111110111000
31120012102001012211210212
412123013103122332320
524213022141441212
6534442413530252
743615025446460
oct6330723327670
91505361184725
10441430421432
11160233a68210
12716761a3988
133281bb61100
1417518720ba0
15b738c83e22
hex66c74dafb8

441430421432 has 192 divisors, whose sum is σ = 1128489615360. Its totient is φ = 157180608000.

The previous prime is 441430421423. The next prime is 441430421461. The reversal of 441430421432 is 234124034144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10493513 + ... + 10535495.

It is an arithmetic number, because the mean of its divisors is an integer number (5877550080).

Almost surely, 2441430421432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441430421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564244807680).

441430421432 is an abundant number, since it is smaller than the sum of its proper divisors (687059193928).

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

441430421432 is a wasteful number, since it uses less digits than its factorization.

441430421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42134 (or 42117 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 441430421432 its reverse (234124034144), we get a palindrome (675554455576).

The spelling of 441430421432 in words is "four hundred forty-one billion, four hundred thirty million, four hundred twenty-one thousand, four hundred thirty-two".