Search a number
-
+
1142431120041 = 33169559121493
BaseRepresentation
bin10000100111111110001…
…100110111101010101001
311001012210222200222222020
4100213332030313222221
5122204144331320131
62232454155415053
7145352336203611
oct20477614675251
94035728628866
101142431120041
11400558647552
121654b1a54489
13839667211b3
143d4188b5a41
151eab5b09996
hex109fe337aa9

1142431120041 has 16 divisors (see below), whose sum is σ = 1524065600640. Its totient is φ = 761208814080.

The previous prime is 1142431120027. The next prime is 1142431120063. The reversal of 1142431120041 is 1400211342411.

It is a happy number.

It is not a de Polignac number, because 1142431120041 - 217 = 1142430988969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1142431119993 and 1142431120020.

It is not an unprimeable number, because it can be changed into a prime (1142411120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53142891 + ... + 53164383.

It is an arithmetic number, because the mean of its divisors is an integer number (95254100040).

Almost surely, 21142431120041 is an apocalyptic number.

It is an amenable number.

1142431120041 is a deficient number, since it is larger than the sum of its proper divisors (381634480599).

1142431120041 is a wasteful number, since it uses less digits than its factorization.

1142431120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30256.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1142431120041 its reverse (1400211342411), we get a palindrome (2542642462452).

The spelling of 1142431120041 in words is "one trillion, one hundred forty-two billion, four hundred thirty-one million, one hundred twenty thousand, forty-one".

Divisors: 1 3 3169 5591 9507 16773 21493 64479 17717879 53153637 68111317 120167363 204333951 360502089 380810373347 1142431120041