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20341344400029 = 338911297497767
BaseRepresentation
bin1001010000000000101101…
…00110110111001010011101
32200000121120021011200001000
410220000112212313022131
510131233033131300104
6111132403513140513
74166420322400542
oct450002646671235
980017507150030
1020341344400029
116532796685a84
1223463570ba739
13b47246877373
14504752328bc9
152541d208c639
hex1280169b729d

20341344400029 has 32 divisors (see below), whose sum is σ = 30500920224000. Its totient is φ = 13396648396032.

The previous prime is 20341344400007. The next prime is 20341344400037. The reversal of 20341344400029 is 92000444314302.

20341344400029 is a `hidden beast` number, since 203 + 4 + 1 + 3 + 4 + 440 + 0 + 0 + 2 + 9 = 666.

It is not a de Polignac number, because 20341344400029 - 25 = 20341344399997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20341344399966 and 20341344400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341344480029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035897 + ... + 6461870.

It is an arithmetic number, because the mean of its divisors is an integer number (953153757000).

Almost surely, 220341344400029 is an apocalyptic number.

It is an amenable number.

20341344400029 is a deficient number, since it is larger than the sum of its proper divisors (10159575823971).

20341344400029 is a wasteful number, since it uses less digits than its factorization.

20341344400029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498994 (or 7498988 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20341344400029 in words is "twenty trillion, three hundred forty-one billion, three hundred forty-four million, four hundred thousand, twenty-nine".

Divisors: 1 3 9 27 89 267 801 1129 2403 3387 10161 30483 100481 301443 904329 2712987 7497767 22493301 67479903 202439709 667301263 2001903789 6005711367 8464978943 18017134101 25394936829 76184810487 228554431461 753383125927 2260149377781 6780448133343 20341344400029