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14346405464141 = 171933436578481
BaseRepresentation
bin1101000011000100100001…
…1001101100100001001101
31212210111120122220210220202
43100301020121230201031
53340022414244323031
650302351522223245
73010331205252332
oct320611031544115
955714518823822
1014346405464141
114631304968a43
12173851a1b4b25
13800b24c0657a
14378526774989
1519d2b25be2cb
hexd0c4866c84d

14346405464141 has 8 divisors (see below), whose sum is σ = 15198170115384. Its totient is φ = 13495513973760.

The previous prime is 14346405464137. The next prime is 14346405464191. The reversal of 14346405464141 is 14146450464341.

It can be written as a sum of positive squares in 4 ways, for example, as 4886659515241 + 9459745948900 = 2210579^2 + 3075670^2 .

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 14346405464141 - 22 = 14346405464137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346405464191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218256380 + ... + 218322101.

It is an arithmetic number, because the mean of its divisors is an integer number (1899771264423).

Almost surely, 214346405464141 is an apocalyptic number.

It is an amenable number.

14346405464141 is a deficient number, since it is larger than the sum of its proper divisors (851764651243).

14346405464141 is a wasteful number, since it uses less digits than its factorization.

14346405464141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436580431.

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 14346405464141 in words is "fourteen trillion, three hundred forty-six billion, four hundred five million, four hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 17 1933 32861 436578481 7421834177 843906203773 14346405464141