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34141430396 = 2253674675147
BaseRepresentation
bin11111110010111111…
…001110001001111100
310021010101010100212002
4133302333032021330
51024410201233041
623403453201432
72316025240643
oct376277161174
9107111110762
1034141430396
111352aa46a87
126749a90278
1332b13a4c28
14191c49635a
15d4c4d959b
hex7f2fce27c

34141430396 has 48 divisors (see below), whose sum is σ = 61927721856. Its totient is φ = 16460119104.

The previous prime is 34141430381. The next prime is 34141430413. The reversal of 34141430396 is 69303414143.

It is a congruent number.

It is an unprimeable number.

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, 6630695 + ... + 6635841.

It is an arithmetic number, because the mean of its divisors is an integer number (1290160872).

Almost surely, 234141430396 is an apocalyptic number.

It is an amenable number.

34141430396 is a deficient number, since it is larger than the sum of its proper divisors (27786291460).

34141430396 is a wasteful number, since it uses less digits than its factorization.

34141430396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 34141430396 in words is "thirty-four billion, one hundred forty-one million, four hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 4 53 67 106 134 212 268 467 934 1868 3551 5147 7102 10294 14204 20588 24751 31289 49502 62578 99004 125156 272791 344849 545582 689698 1091164 1379396 1658317 2403649 3316634 4807298 6633268 9614596 18276997 36553994 73107988 127393397 161044483 254786794 322088966 509573588 644177932 8535357599 17070715198 34141430396