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144925413327 = 3319282505679
BaseRepresentation
bin1000011011111000111…
…0100100111111001111
3111212002002201210122000
42012332032210333033
54333301401211302
6150324450323343
713320246454632
oct2067616447717
9455062653560
10144925413327
115650a688072
1224107289553
1310888137456
14702b835c19
153b8334331c
hex21be3a4fcf

144925413327 has 16 divisors (see below), whose sum is σ = 226004544000. Its totient is φ = 91531839672.

The previous prime is 144925413319. The next prime is 144925413329. The reversal of 144925413327 is 723314529441.

144925413327 is a `hidden beast` number, since 1 + 4 + 492 + 5 + 4 + 133 + 27 = 666.

It is not a de Polignac number, because 144925413327 - 23 = 144925413319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144925413329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141252327 + ... + 141253352.

It is an arithmetic number, because the mean of its divisors is an integer number (14125284000).

Almost surely, 2144925413327 is an apocalyptic number.

144925413327 is a deficient number, since it is larger than the sum of its proper divisors (81079130673).

144925413327 is a wasteful number, since it uses less digits than its factorization.

144925413327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282505707 (or 282505701 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 144925413327 in words is "one hundred forty-four billion, nine hundred twenty-five million, four hundred thirteen thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 27 57 171 513 282505679 847517037 2542551111 5367607901 7627653333 16102823703 48308471109 144925413327