Search a number
-
+
4140043218 = 233174509851
BaseRepresentation
bin1111011011000100…
…0000101111010010
3101200112012222122000
43312301000233102
531434322340333
61522451254430
7204410533563
oct36661005722
911615188560
104140043218
111834a45823
129765aa416
1350c94561c
142b3baa16a
151936d9713
hexf6c40bd2

4140043218 has 32 divisors (see below), whose sum is σ = 9741280320. Its totient is φ = 1298836800.

The previous prime is 4140043213. The next prime is 4140043253. The reversal of 4140043218 is 8123400414.

4140043218 is a `hidden beast` number, since 4 + 1 + 400 + 43 + 218 = 666.

4140043218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4140043191 and 4140043200.

It is not an unprimeable number, because it can be changed into a prime (4140043213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254008 + ... + 2255843.

It is an arithmetic number, because the mean of its divisors is an integer number (304415010).

Almost surely, 24140043218 is an apocalyptic number.

4140043218 is an abundant number, since it is smaller than the sum of its proper divisors (5601237102).

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

4140043218 is a wasteful number, since it uses less digits than its factorization.

4140043218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509879 (or 4509873 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4140043218 is about 64343.1676093119. The cubic root of 4140043218 is about 1605.7143610129.

It can be divided in two parts, 41400432 and 18, that added together give a triangular number (41400450 = T9099).

The spelling of 4140043218 in words is "four billion, one hundred forty million, forty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 4509851 9019702 13529553 27059106 40588659 76667467 81177318 121765977 153334934 230002401 243531954 460004802 690007203 1380014406 2070021609 4140043218