Search a number
-
+
32314234400331 = 3132928571383201
BaseRepresentation
bin1110101100011101111100…
…11101100110111001001011
311020102012200120000002120120
413112032332131212321023
513213414023001302311
6152420542045554323
76543424565256222
oct726167635467113
9136365616002516
1032314234400331
11a329431985854
12375a86b8759a3
1315052b08511c0
147da03562dcb9
153b0879e4a706
hex1d63be766e4b

32314234400331 has 16 divisors (see below), whose sum is σ = 47999923779360. Its totient is φ = 19199969510400.

The previous prime is 32314234400323. The next prime is 32314234400363. The reversal of 32314234400331 is 13300443241323.

It is a happy number.

It is not a de Polignac number, because 32314234400331 - 23 = 32314234400323 is a prime.

It is a super-2 number, since 2×323142344003312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32314234400292 and 32314234400301.

It is not an unprimeable number, because it can be changed into a prime (32314234400381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14285690470 + ... + 14285692731.

It is an arithmetic number, because the mean of its divisors is an integer number (2999995236210).

Almost surely, 232314234400331 is an apocalyptic number.

32314234400331 is a deficient number, since it is larger than the sum of its proper divisors (15685689379029).

32314234400331 is a wasteful number, since it uses less digits than its factorization.

32314234400331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28571383246.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 32314234400331 its reverse (13300443241323), we get a palindrome (45614677641654).

The spelling of 32314234400331 in words is "thirty-two trillion, three hundred fourteen billion, two hundred thirty-four million, four hundred thousand, three hundred thirty-one".

Divisors: 1 3 13 29 39 87 377 1131 28571383201 85714149603 371427981613 828570112829 1114283944839 2485710338487 10771411466777 32314234400331