Search a number
-
+
9724814142 = 233152283947
BaseRepresentation
bin10010000111010010…
…01110001100111110
3221002201221202002120
421003221032030332
5124404023023032
64244552303410
7462663361551
oct110351161476
927081852076
109724814142
11414044988a
121a749a1b66
13bbc99a0c4
146837ac698
153bdb5162c
hex243a4e33e

9724814142 has 16 divisors (see below), whose sum is σ = 20077036032. Its totient is φ = 3137036760.

The previous prime is 9724814129. The next prime is 9724814159. The reversal of 9724814142 is 2414184279.

9724814142 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 = 9724814094 and 9724814103.

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 in 7 ways as a sum of consecutive naturals, for example, 26141788 + ... + 26142159.

It is an arithmetic number, because the mean of its divisors is an integer number (1254814752).

Almost surely, 29724814142 is an apocalyptic number.

9724814142 is an abundant number, since it is smaller than the sum of its proper divisors (10352221890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9724814142 is a wasteful number, since it uses less digits than its factorization.

9724814142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52283983.

The product of its digits is 129024, while the sum is 42.

The square root of 9724814142 is about 98614.4722746109. The cubic root of 9724814142 is about 2134.4882576581.

The spelling of 9724814142 in words is "nine billion, seven hundred twenty-four million, eight hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 31 62 93 186 52283947 104567894 156851841 313703682 1620802357 3241604714 4862407071 9724814142