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34377641241709 = 1492002111524021
BaseRepresentation
bin1111101000100001010110…
…00110000010110001101101
311111201110200221000020002011
413310100223012002301231
514001220402124213314
6201040511555401221
710145462666112163
oct764205306026155
9144643627006064
1034377641241709
11aa54526291a87
123a3274a5b3211
131624a4a5c250c
1486bc5b201233
153e93947d54c4
hex1f442b182c6d

34377641241709 has 8 divisors (see below), whose sum is σ = 34610095272600. Its totient is φ = 34145210299200.

The previous prime is 34377641241689. The next prime is 34377641241733. The reversal of 34377641241709 is 90714214677343.

It can be written as a sum of positive squares in 4 ways, for example, as 164535696900 + 34213105544809 = 405630^2 + 5849197^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34377641241709 - 29 = 34377641241197 is a prime.

It is a super-2 number, since 2×343776412417092 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34377641241799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2778882 + ... + 8745139.

It is an arithmetic number, because the mean of its divisors is an integer number (4326261909075).

Almost surely, 234377641241709 is an apocalyptic number.

It is an amenable number.

34377641241709 is a deficient number, since it is larger than the sum of its proper divisors (232454030891).

34377641241709 is a wasteful number, since it uses less digits than its factorization.

34377641241709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544191.

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 34377641241709 in words is "thirty-four trillion, three hundred seventy-seven billion, six hundred forty-one million, two hundred forty-one thousand, seven hundred nine".

Divisors: 1 149 20021 2983129 11524021 1717079129 230722424441 34377641241709