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34120134203112 = 2332473890752821
BaseRepresentation
bin1111100001000001101100…
…11110101001011011101000
311110210212000211002021222100
413300200312132221123220
513433011013323444422
6200322323454053400
710121045506312416
oct760406636513350
9143725024067870
1034120134203112
11a9652a427a601
1239b0863aaa260
13160669017c969
1485d5cd7a82b6
153e28228e87ac
hex1f08367a96e8

34120134203112 has 24 divisors (see below), whose sum is σ = 92408696800290. Its totient is φ = 11373378067680.

The previous prime is 34120134203107. The next prime is 34120134203131. The reversal of 34120134203112 is 21130243102143.

34120134203112 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 0 + 1 + 342 + 0 + 311 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28522585147716 + 5597549055396 = 5340654^2 + 2365914^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 236945376339 + ... + 236945376482.

Almost surely, 234120134203112 is an apocalyptic number.

It is an amenable number.

34120134203112 is an abundant number, since it is smaller than the sum of its proper divisors (58288562597178).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34120134203112 is a wasteful number, since it uses less digits than its factorization.

34120134203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473890752833 (or 473890752826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34120134203112 its reverse (21130243102143), we get a palindrome (55250377305255).

The spelling of 34120134203112 in words is "thirty-four trillion, one hundred twenty billion, one hundred thirty-four million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 473890752821 947781505642 1421672258463 1895563011284 2843344516926 3791126022568 4265016775389 5686689033852 8530033550778 11373378067704 17060067101556 34120134203112