Search a number
-
+
240041144 = 23711933593
BaseRepresentation
bin11100100111010…
…11110010111000
3121201200100112202
432103223302320
5442422304034
635452525332
75643213260
oct1623536270
9551610482
10240041144
11113551512
1268480848
133a9667a5
1423c467a0
151611847e
hexe4ebcb8

240041144 has 32 divisors (see below), whose sum is σ = 514948320. Its totient is φ = 102759936.

The previous prime is 240041143. The next prime is 240041177. The reversal of 240041144 is 441140042.

It is a happy number.

240041144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2400411443 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240041141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65012 + ... + 68604.

It is an arithmetic number, because the mean of its divisors is an integer number (16092135).

Almost surely, 2240041144 is an apocalyptic number.

It is an amenable number.

240041144 is an abundant number, since it is smaller than the sum of its proper divisors (274907176).

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

240041144 is a wasteful number, since it uses less digits than its factorization.

240041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 240041144 is about 15493.2612448122. The cubic root of 240041144 is about 621.4820113767.

Adding to 240041144 its reverse (441140042), we get a palindrome (681181186).

The spelling of 240041144 in words is "two hundred forty million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 1193 2386 3593 4772 7186 8351 9544 14372 16702 25151 28744 33404 50302 66808 100604 201208 4286449 8572898 17145796 30005143 34291592 60010286 120020572 240041144