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144412121313 = 3216045791257
BaseRepresentation
bin1000011001111110100…
…0100001100011100001
3111210202022212212100200
42012133220201203201
54331224000340223
6150201512535413
713301444530515
oct2063750414341
9453668785320
10144412121313
1156276972199
1223ba33b1569
13108059aa275
146dbd5c0145
153b53251a43
hex219fa218e1

144412121313 has 6 divisors (see below), whose sum is σ = 208595286354. Its totient is φ = 96274747536.

The previous prime is 144412121303. The next prime is 144412121341. The reversal of 144412121313 is 313121214441.

It is a happy number.

144412121313 is a `hidden beast` number, since 1 + 4 + 441 + 2 + 1 + 213 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82502221824 + 61909899489 = 287232^2 + 248817^2 .

It is not a de Polignac number, because 144412121313 - 25 = 144412121281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144412121303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8022895620 + ... + 8022895637.

It is an arithmetic number, because the mean of its divisors is an integer number (34765881059).

Almost surely, 2144412121313 is an apocalyptic number.

It is an amenable number.

144412121313 is a deficient number, since it is larger than the sum of its proper divisors (64183165041).

144412121313 is a wasteful number, since it uses less digits than its factorization.

144412121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045791263 (or 16045791260 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 144412121313 its reverse (313121214441), we get a palindrome (457533335754).

The spelling of 144412121313 in words is "one hundred forty-four billion, four hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 16045791257 48137373771 144412121313