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12432335242401 = 3223225126681293
BaseRepresentation
bin1011010011101010000011…
…1011010000010010100001
31122000112000211002222111200
42310322200323100102201
53112142410310224101
642235200322431413
72422130566645164
oct264724073202241
948015024088450
1012432335242401
113a63584152428
121489577b02569
136c2497157349
1430da2a3cdadb
151685d8476986
hexb4ea0ed04a1

12432335242401 has 24 divisors (see below), whose sum is σ = 18746917515456. Its totient is φ = 7924343724000.

The previous prime is 12432335242381. The next prime is 12432335242427. The reversal of 12432335242401 is 10424253323421.

12432335242401 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 2 + 3 + 3 + 5 + 242 + 401 = 666.

It is not a de Polignac number, because 12432335242401 - 237 = 12294896288929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12432335202401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12874690 + ... + 13806603.

It is an arithmetic number, because the mean of its divisors is an integer number (781121563144).

Almost surely, 212432335242401 is an apocalyptic number.

It is an amenable number.

12432335242401 is a deficient number, since it is larger than the sum of its proper divisors (6314582273055).

12432335242401 is a wasteful number, since it uses less digits than its factorization.

12432335242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26683573 (or 26683570 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12432335242401 its reverse (10424253323421), we get a palindrome (22856588565822).

The spelling of 12432335242401 in words is "twelve trillion, four hundred thirty-two billion, three hundred thirty-five million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 23 69 207 2251 6753 20259 51773 155319 465957 26681293 80043879 240131637 613669739 1841009217 5523027651 60059590543 180178771629 540536314887 1381370582489 4144111747467 12432335242401