Search a number
-
+
122421241444 = 2258215257741
BaseRepresentation
bin111001000000011011…
…1111110011001100100
3102200222202011102100111
41302000313332121210
54001204314211234
6132123424022404
711562466245235
oct1620067763144
9380882142314
10122421241444
1147a11665707
121b886761a04
13b70c9cc508
145cd4b3508c
1532b7825664
hex1c80dfe664

122421241444 has 12 divisors (see below), whose sum is σ = 214274017468. Its totient is φ = 61200093600.

The previous prime is 122421241391. The next prime is 122421241447. The reversal of 122421241444 is 444142124221.

122421241444 is digitally balanced in base 3, 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 2 ways, for example, as 100609496100 + 21811745344 = 317190^2 + 147688^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122421241447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2605587 + ... + 2652154.

Almost surely, 2122421241444 is an apocalyptic number.

It is an amenable number.

122421241444 is a deficient number, since it is larger than the sum of its proper divisors (91852776024).

122421241444 is a wasteful number, since it uses less digits than its factorization.

122421241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263566 (or 5263564 counting only the distinct ones).

The product of its digits is 16384, while the sum is 31.

Adding to 122421241444 its reverse (444142124221), we get a palindrome (566563365665).

The spelling of 122421241444 in words is "one hundred twenty-two billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 5821 11642 23284 5257741 10515482 21030964 30605310361 61210620722 122421241444