Search a number
-
+
2400432340042 = 21129919141901
BaseRepresentation
bin100010111011100100111…
…010101011110001001010
322111110221020221101000001
4202323210322223301022
5303312041134340132
65034424323433214
7335265644143462
oct42734472536112
98443836841001
102400432340042
11846021527700
12329277b2580a
1314548a628109
1484278234ba2
1542692826ce7
hex22ee4eabc4a

2400432340042 has 12 divisors (see below), whose sum is σ = 3957737618898. Its totient is φ = 1091105609000.

The previous prime is 2400432340039. The next prime is 2400432340049.

It is a happy number.

2400432340042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2002058033481 + 398374306561 = 1414941^2 + 631169^2 .

It is not an unprimeable number, because it can be changed into a prime (2400432340049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4959570709 + ... + 4959571192.

Almost surely, 22400432340042 is an apocalyptic number.

2400432340042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400432340042 is a deficient number, since it is larger than the sum of its proper divisors (1557305278856).

2400432340042 is a wasteful number, since it uses less digits than its factorization.

2400432340042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919141925 (or 9919141914 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 2400432340042 in words is "two trillion, four hundred billion, four hundred thirty-two million, three hundred forty thousand, forty-two".

Divisors: 1 2 11 22 121 242 9919141901 19838283802 109110560911 218221121822 1200216170021 2400432340042