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144433335064513 = 11213011718953377
BaseRepresentation
bin100000110101110010000001…
…101000010101011111000001
3200221101200200110022100100011
4200311302001220111133001
5122412343432234031023
61231103431431224521
742264651454415215
oct4065620150253701
9627350613270304
10144433335064513
1142025919302600
1214248193818141
13627900b14aac1
142794879b40945
1511a709869650d
hex835c81a157c1

144433335064513 has 24 divisors (see below), whose sum is σ = 158891549118120. Its totient is φ = 131192016384000.

The previous prime is 144433335064489. The next prime is 144433335064517. The reversal of 144433335064513 is 315460533334441.

It can be written as a sum of positive squares in 4 ways, for example, as 53966757286849 + 90466577777664 = 7346207^2 + 9511392^2 .

It is not a de Polignac number, because 144433335064513 - 217 = 144433334933441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144433335064517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705882881 + ... + 2705936257.

It is an arithmetic number, because the mean of its divisors is an integer number (6620481213255).

Almost surely, 2144433335064513 is an apocalyptic number.

It is an amenable number.

144433335064513 is a deficient number, since it is larger than the sum of its proper divisors (14458214053607).

144433335064513 is a wasteful number, since it uses less digits than its factorization.

144433335064513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71889 (or 71878 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 49.

Adding to 144433335064513 its reverse (315460533334441), we get a palindrome (459893868398954).

The spelling of 144433335064513 in words is "one hundred forty-four trillion, four hundred thirty-three billion, three hundred thirty-five million, sixty-four thousand, five hundred thirteen".

Divisors: 1 11 121 1301 14311 17189 53377 157421 189079 587147 2079869 6458617 22362889 69443477 245991779 763878247 917497253 2705909569 8402660717 10092469783 111017167613 1193663926153 13130303187683 144433335064513