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34432333134331 = 1117500936759857
BaseRepresentation
bin1111101010000111001101…
…11111000011100111111011
311111220200212111110020101211
413311003212333003213323
514003114404240244311
6201121555004423551
710152440212405156
oct765034677034773
9144820774406354
1034432333134331
11aa75741450440
123a41272847bb7
131629c55414a62
14870768b0cc9d
153ea9e6020821
hex1f50e6fc39fb

34432333134331 has 16 divisors (see below), whose sum is σ = 39780047933280. Its totient is φ = 29454937415680.

The previous prime is 34432333134313. The next prime is 34432333134343. The reversal of 34432333134331 is 13343133323443.

It is a cyclic number.

It is not a de Polignac number, because 34432333134331 - 239 = 33882577320443 is a prime.

It is a super-3 number, since 3×344323331343313 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34432333134431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17443246 + ... + 19316611.

It is an arithmetic number, because the mean of its divisors is an integer number (2486252995830).

Almost surely, 234432333134331 is an apocalyptic number.

34432333134331 is a deficient number, since it is larger than the sum of its proper divisors (5347714798949).

34432333134331 is a wasteful number, since it uses less digits than its factorization.

34432333134331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36764894.

The product of its digits is 839808, while the sum is 40.

Adding to 34432333134331 its reverse (13343133323443), we get a palindrome (47775466457774).

The spelling of 34432333134331 in words is "thirty-four trillion, four hundred thirty-two billion, three hundred thirty-three million, one hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 11 17 187 5009 55099 85153 936683 36759857 404358427 624917569 6874093259 184130123713 2025431360843 3130212103121 34432333134331