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144404113013 = 1717534845613
BaseRepresentation
bin1000011001111100100…
…1111110011001110101
3111210201202211000000222
42012133021332121311
54331214423104023
6150201025144125
713301316464636
oct2063711763165
9453652730028
10144404113013
11562723a2466
1223ba078b045
1310804135124
146dbc4d788d
153b526bdcc8
hex219f27e675

144404113013 has 8 divisors (see below), whose sum is σ = 152985725208. Its totient is φ = 135832195584.

The previous prime is 144404113003. The next prime is 144404113033. The reversal of 144404113013 is 310311404441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1775526769 + 142628586244 = 42137^2 + 377662^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 144404113013 - 24 = 144404112997 is a prime.

It is a super-4 number, since 4×1444041130134 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404113003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2393006 + ... + 2452607.

It is an arithmetic number, because the mean of its divisors is an integer number (19123215651).

Almost surely, 2144404113013 is an apocalyptic number.

It is an amenable number.

144404113013 is a deficient number, since it is larger than the sum of its proper divisors (8581612195).

144404113013 is a wasteful number, since it uses less digits than its factorization.

144404113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847383.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 144404113013 its reverse (310311404441), we get a palindrome (454715517454).

The spelling of 144404113013 in words is "one hundred forty-four billion, four hundred four million, one hundred thirteen thousand, thirteen".

Divisors: 1 17 1753 29801 4845613 82375421 8494359589 144404113013