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34013140440111 = 3271373940811081
BaseRepresentation
bin1111011101111010011010…
…01001110101010000101111
311110102121212020102222111100
413232331031021311100233
513424232402423040421
6200201230534254143
710110240220322340
oct756751511652057
9143377766388440
1034013140440111
11a92398a06a888
123993b83ab7353
1315c956b73c121
1485835d9720c7
153deb5e6c7c26
hex1eef4d27542f

34013140440111 has 24 divisors (see below), whose sum is σ = 56558520648864. Its totient is φ = 19294211047680.

The previous prime is 34013140440077. The next prime is 34013140440179. The reversal of 34013140440111 is 11104404131043.

34013140440111 is a `hidden beast` number, since 3 + 40 + 1 + 31 + 40 + 440 + 111 = 666.

It is not a de Polignac number, because 34013140440111 - 217 = 34013140309039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013140444111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1970396910 + ... + 1970414171.

It is an arithmetic number, because the mean of its divisors is an integer number (2356605027036).

Almost surely, 234013140440111 is an apocalyptic number.

34013140440111 is a deficient number, since it is larger than the sum of its proper divisors (22545380208753).

34013140440111 is a wasteful number, since it uses less digits than its factorization.

34013140440111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940811231 (or 3940811228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34013140440111 its reverse (11104404131043), we get a palindrome (45117544571154).

The spelling of 34013140440111 in words is "thirty-four trillion, thirteen billion, one hundred forty million, four hundred forty thousand, one hundred eleven".

Divisors: 1 3 7 9 21 63 137 411 959 1233 2877 8631 3940811081 11822433243 27585677567 35467299729 82757032701 248271098103 539891118097 1619673354291 3779237826679 4859020062873 11337713480037 34013140440111