Search a number
-
+
34331431505 = 5723311137131
BaseRepresentation
bin11111111110010100…
…000001001001010001
310021121121122102101012
4133332110001021101
51030302321302010
623434401420305
72323523232020
oct377624011121
9107547572335
1034331431505
111361821a698
1267a163a695
13331186b017
1419397d48b7
15d5e01b005
hex7fe501251

34331431505 has 32 divisors (see below), whose sum is σ = 49288531968. Its totient is φ = 22445438400.

The previous prime is 34331431501. The next prime is 34331431579. The reversal of 34331431505 is 50513413343.

It is not a de Polignac number, because 34331431505 - 22 = 34331431501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34331431501) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 181790 + ... + 318920.

It is an arithmetic number, because the mean of its divisors is an integer number (1540266624).

Almost surely, 234331431505 is an apocalyptic number.

34331431505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34331431505 is a deficient number, since it is larger than the sum of its proper divisors (14957100463).

34331431505 is a wasteful number, since it uses less digits than its factorization.

34331431505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137477.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 34331431505 its reverse (50513413343), we get a palindrome (84844844848).

The spelling of 34331431505 in words is "thirty-four billion, three hundred thirty-one million, four hundred thirty-one thousand, five hundred five".

Divisors: 1 5 7 23 35 115 161 311 805 1555 2177 7153 10885 35765 50071 137131 250355 685655 959917 3154013 4799585 15770065 22078091 42647741 110390455 213238705 298534187 980898043 1492670935 4904490215 6866286301 34331431505