Search a number
-
+
2414100042 = 232266350363
BaseRepresentation
bin1000111111100100…
…0011111001001010
320020020112222200200
42033321003321022
514421002200132
61035314313030
7113552340354
oct21771037112
96206488620
102414100042
111029773102
12574588776
132c61b4783
1418c8900d4
15e1e0dd7c
hex8fe43e4a

2414100042 has 24 divisors (see below), whose sum is σ = 5232618144. Its totient is φ = 804381864.

The previous prime is 2414100019. The next prime is 2414100047. The reversal of 2414100042 is 2400014142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2414099988 and 2414100024.

It is not an unprimeable number, because it can be changed into a prime (2414100047) 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 11 ways as a sum of consecutive naturals, for example, 22753 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (218025756).

Almost surely, 22414100042 is an apocalyptic number.

2414100042 is an abundant number, since it is smaller than the sum of its proper divisors (2818518102).

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

2414100042 is a wasteful number, since it uses less digits than its factorization.

2414100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53034 (or 53031 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2414100042 is about 49133.4920598974. The cubic root of 2414100042 is about 1341.4827357149.

Adding to 2414100042 its reverse (2400014142), we get a palindrome (4814114184).

The spelling of 2414100042 in words is "two billion, four hundred fourteen million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 2663 5326 7989 15978 23967 47934 50363 100726 151089 302178 453267 906534 134116669 268233338 402350007 804700014 1207050021 2414100042