Search a number
-
+
144551141551049 is a prime number
BaseRepresentation
bin100000110111011111101111…
…011100011010101111001001
3200221210221202120222221001012
4200313133233130122233021
5122421311214214113144
61231233513325133305
742306322020135512
oct4067375734325711
9627727676887035
10144551141551049
1142070881a68582
1214266b909ba235
136287163a650bc
14279a453a17a09
1511aa190cb1e9e
hex8377ef71abc9

144551141551049 has 2 divisors, whose sum is σ = 144551141551050. Its totient is φ = 144551141551048.

The previous prime is 144551141551031. The next prime is 144551141551171. The reversal of 144551141551049 is 940155141155441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125330107278649 + 19221034272400 = 11195093^2 + 4384180^2 .

It is a cyclic number.

It is not a de Polignac number, because 144551141551049 - 224 = 144551124773833 is a prime.

It is a super-2 number, since 2×1445511415510492 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144551141550988 and 144551141551006.

It is not a weakly prime, because it can be changed into another prime (144551141554049) 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 as a sum of consecutive naturals, namely, 72275570775524 + 72275570775525.

It is an arithmetic number, because the mean of its divisors is an integer number (72275570775525).

Almost surely, 2144551141551049 is an apocalyptic number.

It is an amenable number.

144551141551049 is a deficient number, since it is larger than the sum of its proper divisors (1).

144551141551049 is an equidigital number, since it uses as much as digits as its factorization.

144551141551049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440000, while the sum is 50.

The spelling of 144551141551049 in words is "one hundred forty-four trillion, five hundred fifty-one billion, one hundred forty-one million, five hundred fifty-one thousand, forty-nine".