Search a number
-
+
34054341241 = 2910934930869
BaseRepresentation
bin11111101101110011…
…000000001001111001
310020220022020202222211
4133231303000021321
51024220402404431
623351102415121
72313620060464
oct375563001171
9106808222884
1034054341241
1113495873678
1267248914a1
133299331b9b
141910aa62db
15d44a352b1
hex7edcc0279

34054341241 has 16 divisors (see below), whose sum is σ = 35654850000. Its totient is φ = 32484001536.

The previous prime is 34054341221. The next prime is 34054341271. The reversal of 34054341241 is 14214345043.

It can be written as a sum of positive squares in 8 ways, for example, as 80478841 + 33973862400 = 8971^2 + 184320^2 .

It is not a de Polignac number, because 34054341241 - 29 = 34054340729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34054341221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087755 + ... + 1118623.

It is an arithmetic number, because the mean of its divisors is an integer number (2228428125).

Almost surely, 234054341241 is an apocalyptic number.

It is an amenable number.

34054341241 is a deficient number, since it is larger than the sum of its proper divisors (1600508759).

34054341241 is a wasteful number, since it uses less digits than its factorization.

34054341241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31356.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34054341241 its reverse (14214345043), we get a palindrome (48268686284).

The spelling of 34054341241 in words is "thirty-four billion, fifty-four million, three hundred forty-one thousand, two hundred forty-one".

Divisors: 1 29 109 349 3161 10121 30869 38041 895201 1103189 3364721 10773281 97576909 312425149 1174287629 34054341241