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34114241233 = 180141534561
BaseRepresentation
bin11111110001010111…
…100000001011010001
310021001110222000100001
4133301113200023101
51024331221204413
623401042330001
72315245160152
oct376127401321
9107043860301
1034114241233
11135166663a6
126740959901
1332a8875477
141918a19929
15d49e184dd
hex7f15e02d1

34114241233 has 8 divisors (see below), whose sum is σ = 34148887496. Its totient is φ = 34079616000.

The previous prime is 34114241219. The next prime is 34114241243. The reversal of 34114241233 is 33214241143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1891119169 + 32223122064 = 43487^2 + 179508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34114241233 - 221 = 34112144081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34114241243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7477273 + ... + 7481833.

It is an arithmetic number, because the mean of its divisors is an integer number (4268610937).

Almost surely, 234114241233 is an apocalyptic number.

It is an amenable number.

34114241233 is a deficient number, since it is larger than the sum of its proper divisors (34646263).

34114241233 is a wasteful number, since it uses less digits than its factorization.

34114241233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515.

The product of its digits is 6912, while the sum is 28.

Adding to 34114241233 its reverse (33214241143), we get a palindrome (67328482376).

It can be divided in two parts, 341142 and 41233, that added together give a triangular number (382375 = T874).

The spelling of 34114241233 in words is "thirty-four billion, one hundred fourteen million, two hundred forty-one thousand, two hundred thirty-three".

Divisors: 1 1801 4153 4561 7479553 8214361 18941833 34114241233