Search a number
-
+
234314334320032 = 2510768432924743
BaseRepresentation
bin110101010001101110001110…
…101010011011010110100000
31010201122020020211111110011201
4311101232032222123112200
5221203001224041220112
62150202304050050544
7100232436431451151
oct6521561652332640
91121566224443151
10234314334320032
116872917318604a
1222343830579a54
13a098992c8a515
1441c0c350b3928
151c150c0b53257
hexd51b8ea9b5a0

234314334320032 has 24 divisors (see below), whose sum is σ = 465617619958176. Its totient is φ = 116062240362432.

The previous prime is 234314334320009. The next prime is 234314334320063. The reversal of 234314334320032 is 230023433413432.

234314334320032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234314334319973 and 234314334320000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34216458948 + ... + 34216465795.

It is an arithmetic number, because the mean of its divisors is an integer number (19400734164924).

Almost surely, 2234314334320032 is an apocalyptic number.

It is an amenable number.

234314334320032 is a deficient number, since it is larger than the sum of its proper divisors (231303285638144).

234314334320032 is a wasteful number, since it uses less digits than its factorization.

234314334320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68432924860 (or 68432924852 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 37.

Adding to 234314334320032 its reverse (230023433413432), we get a palindrome (464337767733464).

The spelling of 234314334320032 in words is "two hundred thirty-four trillion, three hundred fourteen billion, three hundred thirty-four million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 107 214 428 856 1712 3424 68432924743 136865849486 273731698972 547463397944 1094926795888 2189853591776 7322322947501 14644645895002 29289291790004 58578583580008 117157167160016 234314334320032