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14412322321441 = 117939716502023
BaseRepresentation
bin1101000110111010000101…
…0110100011010000100001
31220000210201112010002222221
43101232201112203100201
53342112414003241231
650352532433231041
73015153532303012
oct321564126432041
956023645102887
1014412322321441
114657260249510
121749255702481
138070cb43b845
1437b7bad93009
1519ed6e4d4d11
hexd1ba15a3421

14412322321441 has 8 divisors (see below), whose sum is σ = 15722732418624. Its totient is φ = 13101945387120.

The previous prime is 14412322321429. The next prime is 14412322321447.

14412322321441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14412322321441 - 229 = 14411785450529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14412322321397 and 14412322321406.

It is not an unprimeable number, because it can be changed into a prime (14412322321447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7377645 + ... + 9124378.

It is an arithmetic number, because the mean of its divisors is an integer number (1965341552328).

Almost surely, 214412322321441 is an apocalyptic number.

14412322321441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14412322321441 is a deficient number, since it is larger than the sum of its proper divisors (1310410097183).

14412322321441 is a wasteful number, since it uses less digits than its factorization.

14412322321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16581431.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1441232 and 2321441, that added together give a palindrome (3762673).

The spelling of 14412322321441 in words is "fourteen trillion, four hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 11 79397 873367 16502023 181522253 1310211120131 14412322321441