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144844374105 = 32519316677533
BaseRepresentation
bin1000011011100101100…
…1011100000001011001
3111211212110020120201100
42012321121130001121
54333120124432410
6150312433342013
713315243602654
oct2067131340131
9454773216640
10144844374105
1156478967102
12240a4107909
1310874402052
147020b7c89b
153b7b1868c0
hex21b965c059

144844374105 has 24 divisors (see below), whose sum is σ = 252364444488. Its totient is φ = 76850067456.

The previous prime is 144844374091. The next prime is 144844374161. The reversal of 144844374105 is 501473448441.

It can be written as a sum of positive squares in 4 ways, for example, as 4019052816 + 140825321289 = 63396^2 + 375267^2 .

It is not a de Polignac number, because 144844374105 - 233 = 136254439513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 8330082 + ... + 8347451.

It is an arithmetic number, because the mean of its divisors is an integer number (10515185187).

Almost surely, 2144844374105 is an apocalyptic number.

144844374105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144844374105 is a deficient number, since it is larger than the sum of its proper divisors (107520070383).

144844374105 is a wasteful number, since it uses less digits than its factorization.

144844374105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16677737 (or 16677734 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 144844374105 in words is "one hundred forty-four billion, eight hundred forty-four million, three hundred seventy-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 193 579 965 1737 2895 8685 16677533 50032599 83387665 150097797 250162995 750488985 3218763869 9656291607 16093819345 28968874821 48281458035 144844374105