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144324110232 = 23331149158147
BaseRepresentation
bin1000011001101001100…
…0110010011110011000
3111210112012021102212000
42012122120302132120
54331033433011412
6150145050321000
713266325460451
oct2063230623630
9453465242760
10144324110232
115623121a165
1223b79a29160
13107c06a36c3
146db1a30128
153b4a6694dc
hex219a632798

144324110232 has 64 divisors (see below), whose sum is σ = 400942089600. Its totient is φ = 48103022880.

The previous prime is 144324110213. The next prime is 144324110303. The reversal of 144324110232 is 232011423441.

144324110232 is a `hidden beast` number, since 14 + 4 + 3 + 2 + 411 + 0 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144324110196 and 144324110205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2452983 + ... + 2511129.

It is an arithmetic number, because the mean of its divisors is an integer number (6264720150).

Almost surely, 2144324110232 is an apocalyptic number.

144324110232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144324110232 is an abundant number, since it is smaller than the sum of its proper divisors (256617979368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144324110232 is a wasteful number, since it uses less digits than its factorization.

144324110232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69653 (or 69643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144324110232 its reverse (232011423441), we get a palindrome (376335533673).

The spelling of 144324110232 in words is "one hundred forty-four billion, three hundred twenty-four million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11491 22982 34473 45964 58147 68946 91928 103419 116294 137892 174441 206838 232588 275784 310257 348882 413676 465176 523323 620514 697764 827352 1046646 1241028 1395528 1569969 2093292 2482056 3139938 4186584 6279876 12559752 668167177 1336334354 2004501531 2672668708 4009003062 5345337416 6013504593 8018006124 12027009186 16036012248 18040513779 24054018372 36081027558 48108036744 72162055116 144324110232