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34004240021133 = 335389266995187
BaseRepresentation
bin1111011101101001110101…
…01001011011011010001101
311110101202212221201211222000
413232310322221123122031
513424111140421134013
6200153155431342513
710106503524110064
oct756647251333215
9143352787654860
1034004240021133
11a920132004318
1239922bb221a39
1315c87807b6a15
14857b5787d1db
153de7dd11b973
hex1eed3aa5b68d

34004240021133 has 32 divisors (see below), whose sum is σ = 51903864547200. Its totient is φ = 21991859480448.

The previous prime is 34004240021111. The next prime is 34004240021179. The reversal of 34004240021133 is 33112004240043.

34004240021133 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 42 + 400 + 211 + 3 + 3 = 666.

It is not a de Polignac number, because 34004240021133 - 26 = 34004240021069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34004240021097 and 34004240021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004240021033) 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, 133370235 + ... + 133624952.

It is an arithmetic number, because the mean of its divisors is an integer number (1621995767100).

Almost surely, 234004240021133 is an apocalyptic number.

It is an amenable number.

34004240021133 is a deficient number, since it is larger than the sum of its proper divisors (17899624526067).

34004240021133 is a wasteful number, since it uses less digits than its factorization.

34004240021133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266995338 (or 266995332 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34004240021133 its reverse (33112004240043), we get a palindrome (67116244261176).

The spelling of 34004240021133 in words is "thirty-four trillion, four billion, two hundred forty million, twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 53 89 159 267 477 801 1431 2403 4717 14151 42453 127359 266995187 800985561 2402956683 7208870049 14150744911 23762571643 42452234733 71287714929 127356704199 213863144787 382070112597 641589434361 1259416297079 3778248891237 11334746673711 34004240021133