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34130852743 = 1341251255121
BaseRepresentation
bin11111110010010110…
…110111101110000111
310021002122012222001011
4133302112313232013
51024344444241433
623402434343051
72315536314211
oct376226675607
9107078188034
1034130852743
1113524a81919
12674642aa87
1332ac140470
14191ad015b1
15d4b5ea3cd
hex7f25b7b87

34130852743 has 16 divisors (see below), whose sum is σ = 37802957472. Its totient is φ = 30614400000.

The previous prime is 34130852713. The next prime is 34130852747. The reversal of 34130852743 is 34725803143.

It is a cyclic number.

It is not a de Polignac number, because 34130852743 - 213 = 34130844551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34130852696 and 34130852705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130852747) 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 15 ways as a sum of consecutive naturals, for example, 6223 + ... + 261343.

It is an arithmetic number, because the mean of its divisors is an integer number (2362684842).

Almost surely, 234130852743 is an apocalyptic number.

34130852743 is a deficient number, since it is larger than the sum of its proper divisors (3672104729).

34130852743 is a wasteful number, since it uses less digits than its factorization.

34130852743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255426.

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 34130852743 in words is "thirty-four billion, one hundred thirty million, eight hundred fifty-two thousand, seven hundred forty-three".

Divisors: 1 13 41 251 533 3263 10291 133783 255121 3316573 10459961 64035371 135979493 832459823 2625450211 34130852743