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14443348353 = 373135362851
BaseRepresentation
bin11010111001110010…
…00000000110000001
31101021120201010011220
431130321000012001
5214034444121403
610345111025253
71020630302220
oct153471000601
941246633156
1014443348353
116141991435
12297106b229
13149241a095
149b0322cb7
1559800a953
hex35ce40181

14443348353 has 32 divisors (see below), whose sum is σ = 22783598592. Its totient is φ = 7964352000.

The previous prime is 14443348307. The next prime is 14443348369. The reversal of 14443348353 is 35384334441.

It is a happy number.

It is not a de Polignac number, because 14443348353 - 216 = 14443282817 is a prime.

It is a super-2 number, since 2×144433483532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14443348373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198378 + ... + 261228.

It is an arithmetic number, because the mean of its divisors is an integer number (711987456).

Almost surely, 214443348353 is an apocalyptic number.

It is an amenable number.

14443348353 is a deficient number, since it is larger than the sum of its proper divisors (8340250239).

14443348353 is a wasteful number, since it uses less digits than its factorization.

14443348353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63245.

The product of its digits is 829440, while the sum is 42.

The spelling of 14443348353 in words is "fourteen billion, four hundred forty-three million, three hundred forty-eight thousand, three hundred fifty-three".

Divisors: 1 3 7 21 31 93 217 353 651 1059 2471 7413 10943 32829 62851 76601 188553 229803 439957 1319871 1948381 5845143 13638667 22186403 40916001 66559209 155304821 465914463 687778493 2063335479 4814449451 14443348353