Search a number
-
+
354340066113 = 321123155617069
BaseRepresentation
bin1010010100000000101…
…00000101001101000001
31020212121120100101211100
411022000110011031001
521301142024103423
6430440453205013
734412606603145
oct5120024051501
91225546311740
10354340066113
11127302803250
125880b930769
132754caa8797
1413216029225
15933d09e343
hex5280505341

354340066113 has 24 divisors (see below), whose sum is σ = 582630310080. Its totient is φ = 205414529760.

The previous prime is 354340066039. The next prime is 354340066133. The reversal of 354340066113 is 311660043453.

354340066113 is a `hidden beast` number, since 3 + 5 + 4 + 34 + 0 + 0 + 6 + 611 + 3 = 666.

It is not a de Polignac number, because 354340066113 - 221 = 354337968961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (354340066133) 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, 77806258 + ... + 77810811.

It is an arithmetic number, because the mean of its divisors is an integer number (24276262920).

Almost surely, 2354340066113 is an apocalyptic number.

354340066113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

354340066113 is a deficient number, since it is larger than the sum of its proper divisors (228290243967).

354340066113 is a wasteful number, since it uses less digits than its factorization.

354340066113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155617109 (or 155617106 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 354340066113 in words is "three hundred fifty-four billion, three hundred forty million, sixty-six thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 155617069 466851207 1400553621 1711787759 3579192587 5135363277 10737577761 15406089831 32212733283 39371118457 118113355371 354340066113