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14314134465 = 3251699187223
BaseRepresentation
bin11010101010011000…
…00101101111000001
31100221120120101001100
431111030011233001
5213303404300330
610324213325013
71014501064311
oct152514055701
940846511040
1014314134465
116085a570a4
122935936769
131471718367
1499b0c9441
1558b9d5060
hex355305bc1

14314134465 has 24 divisors (see below), whose sum is σ = 24825902400. Its totient is φ = 7629670944.

The previous prime is 14314134431. The next prime is 14314134469. The reversal of 14314134465 is 56443141341.

14314134465 is a `hidden beast` number, since 143 + 1 + 413 + 44 + 65 = 666.

It is a de Polignac number, because none of the positive numbers 2k-14314134465 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14314134469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17157 + ... + 170066.

It is an arithmetic number, because the mean of its divisors is an integer number (1034412600).

Almost surely, 214314134465 is an apocalyptic number.

14314134465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14314134465 is a deficient number, since it is larger than the sum of its proper divisors (10511767935).

14314134465 is a wasteful number, since it uses less digits than its factorization.

14314134465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188933 (or 188930 counting only the distinct ones).

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

The spelling of 14314134465 in words is "fourteen billion, three hundred fourteen million, one hundred thirty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 1699 5097 8495 15291 25485 76455 187223 561669 936115 1685007 2808345 8425035 318091877 954275631 1590459385 2862826893 4771378155 14314134465