Search a number
-
+
144606411553 is a prime number
BaseRepresentation
bin1000011010101100110…
…1101011101100100001
3111211020212110211110111
42012223031223230201
54332123220132203
6150233053131321
713306324134412
oct2065315535441
9454225424414
10144606411553
115636660533a
1224038489b41
13108370156c6
146ddb317809
153b6532e26d
hex21ab36bb21

144606411553 has 2 divisors, whose sum is σ = 144606411554. Its totient is φ = 144606411552.

The previous prime is 144606411511. The next prime is 144606411577. The reversal of 144606411553 is 355114606441.

144606411553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122539903249 + 22066508304 = 350057^2 + 148548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144606411553 is a prime.

It is a super-2 number, since 2×1446064115532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144606411583) 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 as a sum of consecutive naturals, namely, 72303205776 + 72303205777.

It is an arithmetic number, because the mean of its divisors is an integer number (72303205777).

Almost surely, 2144606411553 is an apocalyptic number.

It is an amenable number.

144606411553 is a deficient number, since it is larger than the sum of its proper divisors (1).

144606411553 is an equidigital number, since it uses as much as digits as its factorization.

144606411553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 144606411553 in words is "one hundred forty-four billion, six hundred six million, four hundred eleven thousand, five hundred fifty-three".