Search a number
-
+
34311442011 = 3711197817599
BaseRepresentation
bin11111111101000111…
…110000111001011011
310021120020000211221120
4133331013300321123
51030232212121021
623432405140323
72323161305430
oct377507607133
9107506024846
1034311442011
1113607a07250
1267969ba6a3
13330a68c612
141936cadb87
15d5c3bd2c6
hex7fd1f0e5b

34311442011 has 32 divisors (see below), whose sum is σ = 60039168000. Its totient is φ = 16886011680.

The previous prime is 34311441971. The next prime is 34311442019. The reversal of 34311442011 is 11024411343.

It is not a de Polignac number, because 34311442011 - 29 = 34311441499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34311442019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904411 + ... + 3913188.

It is an arithmetic number, because the mean of its divisors is an integer number (1876224000).

Almost surely, 234311442011 is an apocalyptic number.

34311442011 is a deficient number, since it is larger than the sum of its proper divisors (25727725989).

34311442011 is a wasteful number, since it uses less digits than its factorization.

34311442011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817639.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34311442011 its reverse (11024411343), we get a palindrome (45335853354).

The spelling of 34311442011 in words is "thirty-four billion, three hundred eleven million, four hundred forty-two thousand, eleven".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 7817599 23452797 54723193 85993589 148534381 164169579 257980767 445603143 601955123 1039740667 1633878191 1805865369 3119222001 4901634573 11437147337 34311442011