Search a number
-
+
34123432144 = 242132714509
BaseRepresentation
bin11111110001111010…
…100100000011010000
310021002010020221220011
4133301322210003100
51024341044312034
623402011324304
72315416246624
oct376172440320
9107063227804
1034123432144
111352087369a
126743a50694
1332aa742989
141919d2d184
15d4ab31864
hex7f1ea40d0

34123432144 has 10 divisors (see below), whose sum is σ = 66114149810. Its totient is φ = 17061716064.

The previous prime is 34123432081. The next prime is 34123432157. The reversal of 34123432144 is 44123432143.

It can be written as a sum of positive squares in only one way, i.e., 26442662544 + 7680769600 = 162612^2 + 87640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066357239 + ... + 1066357270.

It is an arithmetic number, because the mean of its divisors is an integer number (6611414981).

Almost surely, 234123432144 is an apocalyptic number.

It is an amenable number.

34123432144 is a deficient number, since it is larger than the sum of its proper divisors (31990717666).

34123432144 is a wasteful number, since it uses less digits than its factorization.

34123432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132714517 (or 2132714511 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 34123432144 its reverse (44123432143), we get a palindrome (78246864287).

Subtracting 34123432144 from its reverse (44123432143), we obtain a palindrome (9999999999).

The spelling of 34123432144 in words is "thirty-four billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 2132714509 4265429018 8530858036 17061716072 34123432144