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34143055034143 = 11101139992195287
BaseRepresentation
bin1111100001101100011001…
…01010101011011100011111
311110220001012012200011011011
413300312030222223130133
513433344434042043033
6200341034123040051
710122516506206606
oct760661452533437
9143801165604134
1034143055034143
11a973a96506170
1239b51a0070027
1316088a3a0ca83
14860765968a3d
153e3214cbaccd
hex1f0d8caab71f

34143055034143 has 16 divisors (see below), whose sum is σ = 37618455168000. Its totient is φ = 30729613428000.

The previous prime is 34143055034113. The next prime is 34143055034149.

34143055034143 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34143055034143 - 241 = 31944031778591 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34143055034096 and 34143055034105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143055034149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14455246 + ... + 16650532.

It is an arithmetic number, because the mean of its divisors is an integer number (2351153448000).

Almost surely, 234143055034143 is an apocalyptic number.

34143055034143 is a deficient number, since it is larger than the sum of its proper divisors (3475400133857).

34143055034143 is a wasteful number, since it uses less digits than its factorization.

34143055034143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209398.

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 3414305 and 5034143, that added together give a palindrome (8448448).

The spelling of 34143055034143 in words is "thirty-four trillion, one hundred forty-three billion, fifty-five million, thirty-four thousand, one hundred forty-three".

Divisors: 1 11 101 1111 13999 153989 1413899 2195287 15552889 24148157 221723987 2438963857 30731822713 338050049843 3103914094013 34143055034143