Search a number
-
+
14344321310514 = 2321378777891383
BaseRepresentation
bin1101000010111100110000…
…1011010001111100110010
31212210022012102012211121200
43100233030023101330302
53340004132223414024
650301405031432030
73010225440244566
oct320571413217462
955708172184550
1014344321310514
114630435473528
121738038225616
138008821a6380
143783a9a516a6
1519d1de6372c9
hexd0bcc2d1f32

14344321310514 has 48 divisors (see below), whose sum is σ = 33512612183232. Its totient is φ = 4408029090144.

The previous prime is 14344321310507. The next prime is 14344321310521. The reversal of 14344321310514 is 41501312344341.

14344321310514 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 4 + 3 + 2 + 131 + 0 + 514 = 666.

14344321310514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14344321310507) and next prime (14344321310521).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38761534 + ... + 39129849.

It is an arithmetic number, because the mean of its divisors is an integer number (698179420484).

Almost surely, 214344321310514 is an apocalyptic number.

14344321310514 is an abundant number, since it is smaller than the sum of its proper divisors (19168290872718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14344321310514 is a wasteful number, since it uses less digits than its factorization.

14344321310514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77892191 (or 77892188 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14344321310514 its reverse (41501312344341), we get a palindrome (55845633654855).

The spelling of 14344321310514 in words is "fourteen trillion, three hundred forty-four billion, three hundred twenty-one million, three hundred ten thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 787 1574 2361 4722 7083 10231 14166 20462 30693 61386 92079 184158 77891383 155782766 233674149 467348298 701022447 1012587979 1402044894 2025175958 3037763937 6075527874 9113291811 18226583622 61300518421 122601036842 183901555263 367803110526 551704665789 796906739473 1103409331578 1593813478946 2390720218419 4781440436838 7172160655257 14344321310514