Search a number
-
+
34001110451 = 7111923240677
BaseRepresentation
bin11111101010100111…
…111100010110110011
310020202121002101002002
4133222213330112303
51024113241013301
623341521444215
72312402445620
oct375247742663
9106677071062
1034001110451
1113468816590
12670aaa066b
13328b2b5089
1419079ab347
15d4001d16b
hex7ea9fc5b3

34001110451 has 16 divisors (see below), whose sum is σ = 44622101760. Its totient is φ = 25099930080.

The previous prime is 34001110441. The next prime is 34001110469. The reversal of 34001110451 is 15401110043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34001110451 - 210 = 34001109427 is a prime.

It is a super-2 number, since 2×340011104512 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34001110441) 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 15 ways as a sum of consecutive naturals, for example, 11618876 + ... + 11621801.

It is an arithmetic number, because the mean of its divisors is an integer number (2788881360).

Almost surely, 234001110451 is an apocalyptic number.

34001110451 is a deficient number, since it is larger than the sum of its proper divisors (10620991309).

34001110451 is a wasteful number, since it uses less digits than its factorization.

34001110451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23240714.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 34001110451 its reverse (15401110043), we get a palindrome (49402220494).

The spelling of 34001110451 in words is "thirty-four billion, one million, one hundred ten thousand, four hundred fifty-one".

Divisors: 1 7 11 19 77 133 209 1463 23240677 162684739 255647447 441572863 1789532129 3091010041 4857301493 34001110451