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34496244269443 = 1117569324203681
BaseRepresentation
bin1111101011111110010000…
…11000101100000110000011
311112010210211120112021220001
413311333020120230012003
514010141302013110233
6201211204510100431
710160162043162145
oct765771030540603
9145123746467801
1034496244269443
11aa9a858636170
123a5172a4aa717
131632c9c24b278
148738acbc2c95
153ec4d6ce327d
hex1f5fc862c183

34496244269443 has 16 divisors (see below), whose sum is σ = 39915957327840. Its totient is φ = 29463630438400.

The previous prime is 34496244269429. The next prime is 34496244269449.

It is a happy number.

34496244269443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34496244269443 - 25 = 34496244269411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34496244269449) 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, 161995438 + ... + 162208243.

It is an arithmetic number, because the mean of its divisors is an integer number (2494747332990).

Almost surely, 234496244269443 is an apocalyptic number.

34496244269443 is a deficient number, since it is larger than the sum of its proper divisors (5419713058397).

34496244269443 is a wasteful number, since it uses less digits than its factorization.

34496244269443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324204278.

The product of its digits is 429981696, while the sum is 64.

The spelling of 34496244269443 in words is "thirty-four trillion, four hundred ninety-six billion, two hundred forty-four million, two hundred sixty-nine thousand, four hundred forty-three".

Divisors: 1 11 17 187 569 6259 9673 106403 324203681 3566240491 5511462577 60626088347 184471894489 2029190839379 3136022206313 34496244269443