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144034014015 = 325149173124171
BaseRepresentation
bin1000011000100100011…
…0001010001100111111
3111202202222102000122200
42012021012022030333
54324440201422030
6150100204442543
713256203630053
oct2061106121477
9452688360580
10144034014015
11560a249a621
1223ab8849453
1310775562738
146d852b7c63
153b2ee64d60
hex218918a33f

144034014015 has 48 divisors (see below), whose sum is σ = 252789357600. Its totient is φ = 75860916480.

The previous prime is 144034014013. The next prime is 144034014043. The reversal of 144034014015 is 510410430441.

It is not a de Polignac number, because 144034014015 - 21 = 144034014013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144034014015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034014013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1097880 + ... + 1222050.

It is an arithmetic number, because the mean of its divisors is an integer number (5266444950).

Almost surely, 2144034014015 is an apocalyptic number.

144034014015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144034014015 is a deficient number, since it is larger than the sum of its proper divisors (108755343585).

144034014015 is a wasteful number, since it uses less digits than its factorization.

144034014015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124504 (or 124501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 144034014015 its reverse (510410430441), we get a palindrome (654444444456).

The spelling of 144034014015 in words is "one hundred forty-four billion, thirty-four million, fourteen thousand, fifteen".

Divisors: 1 3 5 9 15 45 149 173 447 519 745 865 1341 1557 2235 2595 6705 7785 25777 77331 124171 128885 231993 372513 386655 620855 1117539 1159965 1862565 5587695 18501479 21481583 55504437 64444749 92507395 107407915 166513311 193334247 277522185 322223745 832566555 966671235 3200755867 9602267601 16003779335 28806802803 48011338005 144034014015