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12144435225 = 3521331443907
BaseRepresentation
bin10110100111101110…
…10110000000011001
31011100100220020020020
423103313112000121
5144332433411400
65325025221053
7606643665456
oct132367260031
934310806206
1012144435225
115172242a2a
12242b191789
1311b7065860
14832c9882d
154b12a12a0
hex2d3dd6019

12144435225 has 96 divisors (see below), whose sum is σ = 22395899904. Its totient is φ = 5766508800.

The previous prime is 12144435169. The next prime is 12144435301. The reversal of 12144435225 is 52253444121.

12144435225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12144435225 - 28 = 12144434969 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 13389222 + ... + 13390128.

It is an arithmetic number, because the mean of its divisors is an integer number (233290624).

Almost surely, 212144435225 is an apocalyptic number.

12144435225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12144435225 is a deficient number, since it is larger than the sum of its proper divisors (10251464679).

12144435225 is a wasteful number, since it uses less digits than its factorization.

12144435225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

Adding to 12144435225 its reverse (52253444121), we get a palindrome (64397879346).

The spelling of 12144435225 in words is "twelve billion, one hundred forty-four million, four hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 31 39 65 75 93 155 195 325 403 443 465 775 907 975 1209 1329 2015 2215 2325 2721 4535 5759 6045 6645 10075 11075 11791 13605 13733 17277 22675 28117 28795 30225 33225 35373 41199 58955 68025 68665 84351 86385 140585 143975 176865 178529 205995 294775 343325 365521 401801 421755 431925 535587 702925 884325 892645 1029975 1096563 1205403 1827605 2009005 2108775 2677935 4463225 5223413 5482815 6027015 9138025 10045025 12455831 13389675 15670239 26117065 27414075 30135075 37367493 62279155 78351195 130585325 161925803 186837465 311395775 391755975 485777409 809629015 934187325 2428887045 4048145075 12144435225