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34543434141 = 3210317921163
BaseRepresentation
bin100000001010111100…
…101111100110011101
310022011101120021022200
4200022330233212131
51031221104343031
623511413402113
72332006226346
oct401274574635
9108141507280
1034543434141
1113716960387
126840639339
133346768578
141959a1d0cd
15d729468e6
hex80af2f99d

34543434141 has 36 divisors (see below), whose sum is σ = 50707089888. Its totient is φ = 22658470128.

The previous prime is 34543434127. The next prime is 34543434157. The reversal of 34543434141 is 14143434543.

34543434141 is a `hidden beast` number, since 3 + 45 + 43 + 434 + 141 = 666.

It is not a de Polignac number, because 34543434141 - 226 = 34476325277 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34543434096 and 34543434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34543434161) 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 35 ways as a sum of consecutive naturals, for example, 29701426 + ... + 29702588.

Almost surely, 234543434141 is an apocalyptic number.

It is an amenable number.

34543434141 is a deficient number, since it is larger than the sum of its proper divisors (16163655747).

34543434141 is a wasteful number, since it uses less digits than its factorization.

34543434141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1448 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 34543434141 its reverse (14143434543), we get a palindrome (48686868684).

The spelling of 34543434141 in words is "thirty-four billion, five hundred forty-three million, four hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 103 179 309 537 927 1163 1611 3489 10467 18437 32041 55311 96123 119789 165933 208177 288369 359367 624531 1078101 1873593 3300223 9900669 21442231 29702007 37263683 64326693 111791049 192980079 335373147 3838159349 11514478047 34543434141