Search a number
-
+
4122141332132 = 2261149113382697
BaseRepresentation
bin111011111111000010110…
…001010001001010100100
3112121001222010011020220002
4323333002301101022210
51020014121140112012
612433404030400432
7603546335126255
oct73770261211244
915531863136802
104122141332132
11134a21035526a
12566a94960118
1323b940812925
14103726c10b2c
157235de3e7c2
hex3bfc2c512a4

4122141332132 has 24 divisors (see below), whose sum is σ = 7381213639800. Its totient is φ = 2013676680960.

The previous prime is 4122141332123. The next prime is 4122141332137. The reversal of 4122141332132 is 2312331412214.

It is a happy number.

4122141332132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40189824676 + 4081951507456 = 200474^2 + 2020384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4122141332095 and 4122141332104.

It is not an unprimeable number, because it can be changed into a prime (4122141332137) 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, 56654993 + ... + 56727704.

It is an arithmetic number, because the mean of its divisors is an integer number (307550568325).

Almost surely, 24122141332132 is an apocalyptic number.

It is an amenable number.

4122141332132 is a deficient number, since it is larger than the sum of its proper divisors (3259072307668).

4122141332132 is a wasteful number, since it uses less digits than its factorization.

4122141332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113382911 (or 113382909 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

Adding to 4122141332132 its reverse (2312331412214), we get a palindrome (6434472744346).

The spelling of 4122141332132 in words is "four trillion, one hundred twenty-two billion, one hundred forty-one million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 61 122 149 244 298 596 9089 18178 36356 113382697 226765394 453530788 6916344517 13832689034 16894021853 27665378068 33788043706 67576087412 1030535333033 2061070666066 4122141332132