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34004440406111 = 741435113353887
BaseRepresentation
bin1111011101101010001101…
…00101110101100001011111
311110101210101220210110110212
413232311012211311201133
513424112043220443421
6200153231350323035
710106511506256620
oct756650645654137
9143353356713425
1034004440406111
11a92022512a53a
12399235635947b
1315c87b3177306
14857b76321a47
153de8009eee5b
hex1eed4697585f

34004440406111 has 32 divisors (see below), whose sum is σ = 40737444937728. Its totient is φ = 27773413436160.

The previous prime is 34004440406059. The next prime is 34004440406177. The reversal of 34004440406111 is 11160404440043.

It is not a de Polignac number, because 34004440406111 - 26 = 34004440406047 is a prime.

It is a super-2 number, since 2×340044404061112 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004445406111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631005410 + ... + 631059296.

It is an arithmetic number, because the mean of its divisors is an integer number (1273045154304).

Almost surely, 234004440406111 is an apocalyptic number.

34004440406111 is a deficient number, since it is larger than the sum of its proper divisors (6733004531617).

34004440406111 is a wasteful number, since it uses less digits than its factorization.

34004440406111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105111.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 34004440406111 its reverse (11160404440043), we get a palindrome (45164844846154).

The spelling of 34004440406111 in words is "thirty-four trillion, four billion, four hundred forty million, four hundred six thousand, one hundred eleven".

Divisors: 1 7 41 43 287 301 1763 12341 51133 53887 357931 377209 2096453 2198719 2209367 2317141 14675171 15391033 15465569 16219987 90147479 95002781 631032353 665019467 2755403971 19287827797 112971562811 118482370753 790800939677 829376595271 4857777200873 34004440406111