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114005540045205 = 32513173897261707
BaseRepresentation
bin11001111010111111111011…
…101101111000000110010101
3112221122211020002210221100200
4121322333323231320012111
5104420331321222421310
61042245231100131113
733004425363241164
oct3172777355700625
9487584202727320
10114005540045205
1133364529267816
1210953054836a99
134b7c8a3a91b43
142021c7cd5d3db
15d2a82bc4c9c0
hex67affbb78195

114005540045205 has 48 divisors (see below), whose sum is σ = 199121528384064. Its totient is φ = 60337762917120.

The previous prime is 114005540045191. The next prime is 114005540045209. The reversal of 114005540045205 is 502540045500411.

114005540045205 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 5 + 5 + 400 + 45 + 205 = 666.

It is a de Polignac number, because none of the positive numbers 2k-114005540045205 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114005540045205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005540045209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435491962 + ... + 435753668.

It is an arithmetic number, because the mean of its divisors is an integer number (4148365174668).

Almost surely, 2114005540045205 is an apocalyptic number.

114005540045205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114005540045205 is a deficient number, since it is larger than the sum of its proper divisors (85115988338859).

114005540045205 is a wasteful number, since it uses less digits than its factorization.

114005540045205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335746 (or 335743 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 114005540045205 its reverse (502540045500411), we get a palindrome (616545585545616).

The spelling of 114005540045205 in words is "one hundred fourteen trillion, five billion, five hundred forty million, forty-five thousand, two hundred five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 5895 73897 221691 261707 369485 665073 785121 1108455 1308535 2355363 3325365 3925605 9680507 11776815 29041521 34283617 48402535 87124563 102850851 145207605 171418085 308552553 435622815 514254255 1542762765 19339362179 58018086537 96696810895 174054259611 290090432685 870271298055 2533456445449 7600369336347 12667282227245 22801108009041 38001846681735 114005540045205