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34121443241 = 1811013186097
BaseRepresentation
bin11111110001110010…
…111110011110101001
310021001222111220122002
4133301302332132221
51024340042140431
623401500540345
72315363324234
oct376162763651
9107058456562
1034121443241
111351a735376
1267432516b5
1332aa1c7602
14191997241b
15d4a88c3cb
hex7f1cbe7a9

34121443241 has 8 divisors (see below), whose sum is σ = 34344013704. Its totient is φ = 33899247360.

The previous prime is 34121443231. The next prime is 34121443247. The reversal of 34121443241 is 14234412143.

It can be written as a sum of positive squares in 4 ways, for example, as 3278707600 + 30842735641 = 57260^2 + 175621^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34121443241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34121443247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90305 + ... + 276401.

It is an arithmetic number, because the mean of its divisors is an integer number (4293001713).

Almost surely, 234121443241 is an apocalyptic number.

It is an amenable number.

34121443241 is a deficient number, since it is larger than the sum of its proper divisors (222570463).

34121443241 is a wasteful number, since it uses less digits than its factorization.

34121443241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187291.

The product of its digits is 9216, while the sum is 29.

Adding to 34121443241 its reverse (14234412143), we get a palindrome (48355855384).

The spelling of 34121443241 in words is "thirty-four billion, one hundred twenty-one million, four hundred forty-three thousand, two hundred forty-one".

Divisors: 1 181 1013 183353 186097 33683557 188516261 34121443241