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44145332145 = 3253726513713
BaseRepresentation
bin101001000111010001…
…000100111110110001
311012221120020020011200
4221013101010332301
51210402201112040
632140255401413
73121651063155
oct510721047661
9135846206150
1044145332145
11177a3986482
128680223269
134216b2a315
1421cad53065
1512358b8630
hexa47444fb1

44145332145 has 24 divisors (see below), whose sum is σ = 78586648296. Its totient is φ = 22907847168.

The previous prime is 44145332117. The next prime is 44145332173. The reversal of 44145332145 is 54123354144.

44145332145 is a `hidden beast` number, since 44 + 145 + 332 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (44145332117) and next prime (44145332173).

It can be written as a sum of positive squares in 4 ways, for example, as 5093248689 + 39052083456 = 71367^2 + 197616^2 .

It is not a de Polignac number, because 44145332145 - 220 = 44144283569 is a prime.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 13255192 + ... + 13258521.

It is an arithmetic number, because the mean of its divisors is an integer number (3274443679).

Almost surely, 244145332145 is an apocalyptic number.

44145332145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44145332145 is a deficient number, since it is larger than the sum of its proper divisors (34441316151).

44145332145 is a wasteful number, since it uses less digits than its factorization.

44145332145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26513761 (or 26513758 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 44145332145 its reverse (54123354144), we get a palindrome (98268686289).

The spelling of 44145332145 in words is "forty-four billion, one hundred forty-five million, three hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 26513713 79541139 132568565 238623417 397705695 981007381 1193117085 2943022143 4905036905 8829066429 14715110715 44145332145