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144411030313 = 111753109313331
BaseRepresentation
bin1000011001111110010…
…0010111001100101001
3111210202020211102210021
42012133210113030221
54331223210432223
6150201433320441
713301432334664
oct2063744271451
9453666742707
10144411030313
1156276297540
1223ba2b66121
13108056b77c4
146dbd3b86db
153b530d865d
hex219f917329

144411030313 has 32 divisors (see below), whose sum is σ = 170121866112. Its totient is φ = 121108915200.

The previous prime is 144411030307. The next prime is 144411030349. The reversal of 144411030313 is 313030114441.

It is a happy number.

144411030313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144411030313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144411030353) 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 31 ways as a sum of consecutive naturals, for example, 10826058 + ... + 10839388.

It is an arithmetic number, because the mean of its divisors is an integer number (5316308316).

Almost surely, 2144411030313 is an apocalyptic number.

It is an amenable number.

144411030313 is a deficient number, since it is larger than the sum of its proper divisors (25710835799).

144411030313 is a wasteful number, since it uses less digits than its factorization.

144411030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14505.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 144411030313 its reverse (313030114441), we get a palindrome (457441144754).

The spelling of 144411030313 in words is "one hundred forty-four billion, four hundred eleven million, thirty thousand, three hundred thirteen".

Divisors: 1 11 17 53 187 583 901 1093 9911 12023 13331 18581 57929 146641 204391 226627 637219 706543 984793 2492897 7771973 10832723 12011231 14570783 132123541 160278613 247703311 772251499 2724736421 8494766489 13128275483 144411030313