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12444432330 = 2351153711517
BaseRepresentation
bin10111001011011111…
…01111011111001010
31012010021101122220010
423211233233133022
5200441233313310
65414503212350
7620245633551
oct134557573712
935107348803
1012444432330
115306615220
1224b37470b6
131234262235
14860a6ad98
154cc7ae320
hex2e5bef7ca

12444432330 has 64 divisors (see below), whose sum is σ = 33196583808. Its totient is φ = 2959906560.

The previous prime is 12444432323. The next prime is 12444432359. The reversal of 12444432330 is 3323444421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338269 + ... + 373248.

It is an arithmetic number, because the mean of its divisors is an integer number (518696622).

Almost surely, 212444432330 is an apocalyptic number.

12444432330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12444432330 is an abundant number, since it is smaller than the sum of its proper divisors (20752151478).

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

12444432330 is a wasteful number, since it uses less digits than its factorization.

12444432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711591.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12444432330 its reverse (3323444421), we get a palindrome (15767876751).

The spelling of 12444432330 in words is "twelve billion, four hundred forty-four million, four hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 17490 711517 1423034 2134551 3557585 4269102 7115170 7826687 10672755 15653374 21345510 23480061 37710401 39133435 46960122 75420802 78266870 113131203 117400305 188552005 226262406 234800610 377104010 414814411 565656015 829628822 1131312030 1244443233 2074072055 2488886466 4148144110 6222216165 12444432330