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345640460554161 = 344267166179681
BaseRepresentation
bin100111010010110111011000…
…0110111110000111110110001
31200022210220102222111220010000
41032211232300313300332301
5330300433130400213121
63223041011401300213
7132542461553302263
oct11645566067607661
91608726388456100
10345640460554161
11a014a329177863
123292352aa94669
1311ab29a8cc7136
14614d132353b33
1529e5d7cc77526
hex13a5bb0df0fb1

345640460554161 has 10 divisors (see below), whose sum is σ = 516327107741522. Its totient is φ = 230426973702720.

The previous prime is 345640460554069. The next prime is 345640460554163. The reversal of 345640460554161 is 161455064046543.

345640460554161 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 40 + 46 + 0 + 554 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208367954721936 + 137272505832225 = 14434956^2 + 11716335^2 .

It is not a de Polignac number, because 345640460554161 - 223 = 345640452165553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345640460554098 and 345640460554107.

It is not an unprimeable number, because it can be changed into a prime (345640460554163) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2133583089760 + ... + 2133583089921.

Almost surely, 2345640460554161 is an apocalyptic number.

It is an amenable number.

345640460554161 is a deficient number, since it is larger than the sum of its proper divisors (170686647187361).

345640460554161 is an equidigital number, since it uses as much as digits as its factorization.

345640460554161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267166179693 (or 4267166179684 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 345640460554161 in words is "three hundred forty-five trillion, six hundred forty billion, four hundred sixty million, five hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 4267166179681 12801498539043 38404495617129 115213486851387 345640460554161