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34343416143 = 3215413247579
BaseRepresentation
bin11111111111000001…
…101111000101001111
310021122110012022012200
4133333001233011033
51030313403304033
623435510332543
72324030135451
oct377701570517
9107573168180
1034343416143
1113623a65953
1267a565a153
1333141a601a
14193b2342d1
15d600d7013
hex7ff06f14f

34343416143 has 12 divisors (see below), whose sum is σ = 49610575560. Its totient is φ = 22894032816.

The previous prime is 34343416127. The next prime is 34343416153. The reversal of 34343416143 is 34161434343.

34343416143 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 34 + 1 + 614 + 3 = 666.

It is not a de Polignac number, because 34343416143 - 24 = 34343416127 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34343416098 and 34343416107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343416153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14928 + ... + 262506.

It is an arithmetic number, because the mean of its divisors is an integer number (4134214630).

Almost surely, 234343416143 is an apocalyptic number.

34343416143 is a deficient number, since it is larger than the sum of its proper divisors (15267159417).

34343416143 is a wasteful number, since it uses less digits than its factorization.

34343416143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262998 (or 262995 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 34343416143 in words is "thirty-four billion, three hundred forty-three million, four hundred sixteen thousand, one hundred forty-three".

Divisors: 1 3 9 15413 46239 138717 247579 742737 2228211 3815935127 11447805381 34343416143