Search a number
-
+
434478381681 = 36110632233489
BaseRepresentation
bin1100101001010001110…
…11011111101001110001
31112112110112201122010010
412110220323133221301
524104302431203211
6531332511325133
743250531211141
oct6245073375161
91475415648103
10434478381681
111582967a0913
1270255b207a9
1331c8177b016
14170592ca921
15b47d7904a6
hex6528edfa71

434478381681 has 16 divisors (see below), whose sum is σ = 589355473280. Its totient is φ = 284635710720.

The previous prime is 434478381593. The next prime is 434478381719. The reversal of 434478381681 is 186183874434.

It is not a de Polignac number, because 434478381681 - 210 = 434478380657 is a prime.

It is a super-2 number, since 2×4344783816812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434478381481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922216 + ... + 1311273.

It is an arithmetic number, because the mean of its divisors is an integer number (36834717080).

Almost surely, 2434478381681 is an apocalyptic number.

It is an amenable number.

434478381681 is a deficient number, since it is larger than the sum of its proper divisors (154877091599).

434478381681 is a wasteful number, since it uses less digits than its factorization.

434478381681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234616.

The product of its digits is 12386304, while the sum is 57.

The spelling of 434478381681 in words is "four hundred thirty-four billion, four hundred seventy-eight million, three hundred eighty-one thousand, six hundred eighty-one".

Divisors: 1 3 61 183 1063 3189 64843 194529 2233489 6700467 136242829 408728487 2374198807 7122596421 144826127227 434478381681