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144240331311 = 3483187111467
BaseRepresentation
bin1000011001010101100…
…1001100101000101111
3111210022100122000210000
42012111121030220233
54330401011100221
6150132454515343
713264260405156
oct2062531145057
9453270560700
10144240331311
11561989a788a
1223b55965b53
13107a921c28b
146da486259d
153b4311ae26
hex219564ca2f

144240331311 has 40 divisors (see below), whose sum is σ = 218201727744. Its totient is φ = 94942607760.

The previous prime is 144240331297. The next prime is 144240331327. The reversal of 144240331311 is 113133042441.

144240331311 is a `hidden beast` number, since 14 + 4 + 2 + 4 + 0 + 331 + 311 = 666.

It is not a de Polignac number, because 144240331311 - 221 = 144238234159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240331351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12573000 + ... + 12584466.

Almost surely, 2144240331311 is an apocalyptic number.

144240331311 is a deficient number, since it is larger than the sum of its proper divisors (73961396433).

144240331311 is a wasteful number, since it uses less digits than its factorization.

144240331311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144240331311 its reverse (113133042441), we get a palindrome (257373373752).

The spelling of 144240331311 in words is "one hundred forty-four billion, two hundred forty million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 81 83 249 747 1871 2241 5613 6723 11467 16839 34401 50517 103203 151551 155293 309609 465879 928827 951761 1397637 2855283 4192911 8565849 12578733 21454757 25697547 64364271 77092641 193092813 579278439 1737835317 1780744831 5342234493 16026703479 48080110437 144240331311