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14355145424401 = 102120176970693
BaseRepresentation
bin1101000011100101000101…
…0101111111111000010001
31212211100010202200210110121
43100321101111333320101
53340143314212040101
650310355054030241
73011060612555125
oct320712125777021
955740122623417
1014355145424401
114634a8a3994a1
12173a1591a8381
138018b883a4a2
14378b15419585
1519d624a320a1
hexd0e5157fe11

14355145424401 has 8 divisors (see below), whose sum is σ = 14376331422824. Its totient is φ = 14333973373440.

The previous prime is 14355145424383. The next prime is 14355145424413. The reversal of 14355145424401 is 10442454155341.

It can be written as a sum of positive squares in 4 ways, for example, as 1028958669376 + 13326186755025 = 1014376^2 + 3650505^2 .

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 14355145424401 - 211 = 14355145422353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14355142424401) 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 7 ways as a sum of consecutive naturals, for example, 1425990 + ... + 5544703.

It is an arithmetic number, because the mean of its divisors is an integer number (1797041427853).

Almost surely, 214355145424401 is an apocalyptic number.

It is an amenable number.

14355145424401 is a deficient number, since it is larger than the sum of its proper divisors (21185998423).

14355145424401 is a wasteful number, since it uses less digits than its factorization.

14355145424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973731.

The product of its (nonzero) digits is 768000, while the sum is 43.

Adding to 14355145424401 its reverse (10442454155341), we get a palindrome (24797599579742).

The spelling of 14355145424401 in words is "fourteen trillion, three hundred fifty-five billion, one hundred forty-five million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 1021 2017 2059357 6970693 7117077553 14059887781 14355145424401