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34141430433 = 311149246601
BaseRepresentation
bin11111110010111111…
…001110001010100001
310021010101010100220110
4133302333032022201
51024410201233213
623403453201533
72316025241025
oct376277161241
9107111110813
1034141430433
111352aa47010
126749a902a9
1332b13a4c56
14191c496385
15d4c4d95c3
hex7f2fce2a1

34141430433 has 24 divisors (see below), whose sum is σ = 49996862496. Its totient is φ = 20552464000.

The previous prime is 34141430417. The next prime is 34141430443. The reversal of 34141430433 is 33403414143.

It is not a de Polignac number, because 34141430433 - 24 = 34141430417 is a prime.

It is a super-2 number, since 2×341414304332 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34141430433.

It is not an unprimeable number, because it can be changed into a prime (34141430413) 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, 709333 + ... + 755933.

It is an arithmetic number, because the mean of its divisors is an integer number (2083202604).

Almost surely, 234141430433 is an apocalyptic number.

34141430433 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34141430433 is a deficient number, since it is larger than the sum of its proper divisors (15855432063).

34141430433 is a wasteful number, since it uses less digits than its factorization.

34141430433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46913 (or 46764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34141430433 its reverse (33403414143), we get a palindrome (67544844576).

The spelling of 34141430433 in words is "thirty-four billion, one hundred forty-one million, four hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 11 33 149 447 1639 4917 22201 46601 66603 139803 244211 512611 732633 1537833 6943549 20830647 76379039 229137117 1034588801 3103766403 11380476811 34141430433