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12444012003345 = 351371898809101
BaseRepresentation
bin1011010100010101100011…
…1010100100000000010001
31122001122011120222220020020
42311011120322210000101
53112340314033101340
642244411124134053
72423023134533046
oct265053072440021
948048146886206
1012444012003345
113a685263a778a
12148b896537329
136c3608345550
143104171091cd
15168a6d6479d0
hexb5158ea4011

12444012003345 has 32 divisors (see below), whose sum is σ = 21743989795584. Its totient is φ = 6039997152000.

The previous prime is 12444012003331. The next prime is 12444012003347. The reversal of 12444012003345 is 54330021044421.

It is not a de Polignac number, because 12444012003345 - 213 = 12444011995153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444012003347) 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 31 ways as a sum of consecutive naturals, for example, 449390706 + ... + 449418395.

It is an arithmetic number, because the mean of its divisors is an integer number (679499681112).

Almost surely, 212444012003345 is an apocalyptic number.

12444012003345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12444012003345 is a deficient number, since it is larger than the sum of its proper divisors (9299977792239).

12444012003345 is a wasteful number, since it uses less digits than its factorization.

12444012003345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898809193.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 12444012003345 its reverse (54330021044421), we get a palindrome (66774033047766).

The spelling of 12444012003345 in words is "twelve trillion, four hundred forty-four billion, twelve million, three thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 71 195 213 355 923 1065 2769 4615 13845 898809101 2696427303 4494045505 11684518313 13482136515 35053554939 58422591565 63815446171 175267774695 191446338513 319077230855 829600800223 957231692565 2488802400669 4148004001115 12444012003345