Search a number
-
+
432404243423304 = 23341101179109122279
BaseRepresentation
bin110001001010001001111010…
…1010101000010000001001000
32002201000102221012010100000220
41202110103311111002001020
5423134002342304021204
64131351433410430040
7160036114151255265
oct14224236525020110
92081012835110026
10432404243423304
11115860678725639
12405b6a0a292320
1315737711a30159
1478ac69704426c
1534ecc600d91d9
hex18944f5542048

432404243423304 has 256 divisors, whose sum is σ = 1125669871872000. Its totient is φ = 138316081920000.

The previous prime is 432404243423227. The next prime is 432404243423333. The reversal of 432404243423304 is 403324342404234.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19408590837 + ... + 19408613115.

It is an arithmetic number, because the mean of its divisors is an integer number (4397147937000).

Almost surely, 2432404243423304 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 432404243423304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562834935936000).

432404243423304 is an abundant number, since it is smaller than the sum of its proper divisors (693265628448696).

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

432404243423304 is a wasteful number, since it uses less digits than its factorization.

432404243423304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23700 (or 23696 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 432404243423304 its reverse (403324342404234), we get a palindrome (835728585827538).

The spelling of 432404243423304 in words is "four hundred thirty-two trillion, four hundred four billion, two hundred forty-three million, four hundred twenty-three thousand, three hundred four".