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14314311344201 = 1137534259155809
BaseRepresentation
bin1101000001001100111101…
…1100010110000001001001
31212200102201222011121000212
43100103033130112001021
53334011202201003301
650235523122010505
73005113656606461
oct320231734260111
955612658147025
1014314311344201
114619735642680
121732261aa6a35
137caaaba31b5b
14376b60170ba1
1519c534be04bb
hexd04cf716049

14314311344201 has 32 divisors (see below), whose sum is σ = 16344194774400. Its totient is φ = 12419418286080.

The previous prime is 14314311344183. The next prime is 14314311344213. The reversal of 14314311344201 is 10244311341341.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 14314311344201 - 226 = 14314244235337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14314311344251) 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 31 ways as a sum of consecutive naturals, for example, 91792985 + ... + 91948793.

It is an arithmetic number, because the mean of its divisors is an integer number (510756086700).

Almost surely, 214314311344201 is an apocalyptic number.

14314311344201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14314311344201 is a deficient number, since it is larger than the sum of its proper divisors (2029883430199).

14314311344201 is a wasteful number, since it uses less digits than its factorization.

14314311344201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160169.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 14314311344201 its reverse (10244311341341), we get a palindrome (24558622685542).

The spelling of 14314311344201 in words is "fourteen trillion, three hundred fourteen billion, three hundred eleven million, three hundred forty-four thousand, two hundred one".

Divisors: 1 11 37 53 407 583 1961 4259 21571 46849 155809 157583 225727 1713899 1733413 2482997 5764933 8257877 8351899 63414263 90836647 91870889 305541449 663590531 3360955939 7299495841 24552849647 35170298143 270081346117 386873279573 1301301031291 14314311344201