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34121417737 = 1111327450859
BaseRepresentation
bin11111110001110010…
…111000010000001001
310021001222110121122111
4133301302320100021
51024340040331422
623401500222321
72315363160001
oct376162702011
9107058417574
1034121417737
111351a7181a0
12674323a9a1
1332aa1b8b14
141919967001
15d4a884a77
hex7f1cb8409

34121417737 has 8 divisors (see below), whose sum is σ = 37552776480. Its totient is φ = 30744960960.

The previous prime is 34121417731. The next prime is 34121417761. The reversal of 34121417737 is 73771412143.

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-34121417737 is a prime.

It is a super-2 number, since 2×341214177372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34121417737.

It is not an unprimeable number, because it can be changed into a prime (34121417731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13724187 + ... + 13726672.

It is an arithmetic number, because the mean of its divisors is an integer number (4694097060).

Almost surely, 234121417737 is an apocalyptic number.

It is an amenable number.

34121417737 is a deficient number, since it is larger than the sum of its proper divisors (3431358743).

34121417737 is a wasteful number, since it uses less digits than its factorization.

34121417737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27450983.

The product of its digits is 98784, while the sum is 40.

The spelling of 34121417737 in words is "thirty-four billion, one hundred twenty-one million, four hundred seventeen thousand, seven hundred thirty-seven".

Divisors: 1 11 113 1243 27450859 301959449 3101947067 34121417737