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123144432340401 = 3240933342954973
BaseRepresentation
bin11011111111111111001100…
…001001010100110110110001
3121011000111022012222102010100
4123333333030021110312301
5112120044244134343101
61113523434330423013
734636614555112623
oct3377771411246661
9534014265872110
10123144432340401
1136268295761a6a
121198a271291a69
135393615b95b94
14225a3180cac13
15e38408c91e86
hex6fffcc254db1

123144432340401 has 12 divisors (see below), whose sum is σ = 177918749626228. Its totient is φ = 82076230472544.

The previous prime is 123144432340343. The next prime is 123144432340469. The reversal of 123144432340401 is 104043234441321.

123144432340401 is a `hidden beast` number, since 1 + 2 + 3 + 14 + 4 + 4 + 3 + 234 + 0 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98027345567376 + 25117086773025 = 9900876^2 + 5011695^2 .

It is not a de Polignac number, because 123144432340401 - 26 = 123144432340337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123144432340481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1671440650 + ... + 1671514323.

Almost surely, 2123144432340401 is an apocalyptic number.

It is an amenable number.

123144432340401 is a deficient number, since it is larger than the sum of its proper divisors (54774317285827).

123144432340401 is a wasteful number, since it uses less digits than its factorization.

123144432340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342959072 (or 3342959069 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 123144432340401 its reverse (104043234441321), we get a palindrome (227187666781722).

The spelling of 123144432340401 in words is "one hundred twenty-three trillion, one hundred forty-four billion, four hundred thirty-two million, three hundred forty thousand, four hundred one".

Divisors: 1 3 9 4093 12279 36837 3342954973 10028864919 30086594757 13682714704489 41048144113467 123144432340401