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14443300334441 = 1173315823113209
BaseRepresentation
bin1101001000101101011111…
…0010010010101101101001
31220010202200102201012222202
43102023113302102231221
53343114334341200231
650415054403425545
73020331306126506
oct322132762225551
956122612635882
1014443300334441
114669407559150
1217532600852b5
13809cc7313154
1437d0b92644ad
151a0a83dea5cb
hexd22d7c92b69

14443300334441 has 16 divisors (see below), whose sum is σ = 15778959832320. Its totient is φ = 13111415464320.

The previous prime is 14443300334423. The next prime is 14443300334473.

14443300334441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14443300334441 - 210 = 14443300333417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14443300334395 and 14443300334404.

It is not an unprimeable number, because it can be changed into a prime (14443300334401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127524245 + ... + 127637453.

It is an arithmetic number, because the mean of its divisors is an integer number (986184989520).

Almost surely, 214443300334441 is an apocalyptic number.

14443300334441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14443300334441 is a deficient number, since it is larger than the sum of its proper divisors (1335659497879).

14443300334441 is a wasteful number, since it uses less digits than its factorization.

14443300334441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129776.

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 14443300 and 334441, that added together give a palindrome (14777741).

The spelling of 14443300334441 in words is "fourteen trillion, four hundred forty-three billion, three hundred million, three hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 11 733 8063 15823 113209 174053 1245299 11598259 82982197 127580849 912804167 1791306007 19704366077 1313027303131 14443300334441