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34181140973 = 738912552751
BaseRepresentation
bin11111110101010110…
…101101000111101101
310021020010211212112012
4133311112231013231
51030000333002343
623411432251005
72320016622140
oct376526550755
9107203755465
1034181140973
11135503aa141
12675b240a65
1332b9699b05
141923872057
15d50c30718
hex7f55ad1ed

34181140973 has 8 divisors (see below), whose sum is σ = 39164586240. Its totient is φ = 29222802000.

The previous prime is 34181140943. The next prime is 34181140979. The reversal of 34181140973 is 37904118143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34181140973 - 26 = 34181140909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34181140973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34181140979) 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 7 ways as a sum of consecutive naturals, for example, 6273653 + ... + 6279098.

It is an arithmetic number, because the mean of its divisors is an integer number (4895573280).

Almost surely, 234181140973 is an apocalyptic number.

It is an amenable number.

34181140973 is a deficient number, since it is larger than the sum of its proper divisors (4983445267).

34181140973 is a wasteful number, since it uses less digits than its factorization.

34181140973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553147.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 34181140973 in words is "thirty-four billion, one hundred eighty-one million, one hundred forty thousand, nine hundred seventy-three".

Divisors: 1 7 389 2723 12552751 87869257 4883020139 34181140973