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115242505344 = 2732544318379
BaseRepresentation
bin110101101010011111…
…1010001010010000000
3102000110110002211201200
41223110333101102000
53342004040132334
6124535222501200
711216550063411
oct1532477212200
9360413084650
10115242505344
1144968431a5a
121a402594800
13ab37675a85
14581356d808
152ee74a2799
hex1ad4fd1480

115242505344 has 96 divisors (see below), whose sum is σ = 331701286800. Its totient is φ = 38405021184.

The previous prime is 115242505271. The next prime is 115242505387. The reversal of 115242505344 is 443505242511.

115242505344 is a `hidden beast` number, since 11 + 52 + 4 + 250 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115242505299 and 115242505308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6261147 + ... + 6279525.

Almost surely, 2115242505344 is an apocalyptic number.

It is an amenable number.

115242505344 is an abundant number, since it is smaller than the sum of its proper divisors (216458781456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115242505344 is a wasteful number, since it uses less digits than its factorization.

115242505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23842 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 115242505344 its reverse (443505242511), we get a palindrome (558747747855).

The spelling of 115242505344 in words is "one hundred fifteen billion, two hundred forty-two million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5443 10886 16329 18379 21772 32658 36758 43544 48987 55137 65316 73516 87088 97974 110274 130632 147032 165411 174176 195948 220548 261264 294064 330822 348352 391896 441096 522528 588128 661644 696704 783792 882192 1045056 1176256 1323288 1567584 1764384 2090112 2352512 2646576 3135168 3528768 5293152 6270336 7057536 10586304 21172608 100036897 200073794 300110691 400147588 600221382 800295176 900332073 1200442764 1600590352 1800664146 2400885528 3201180704 3601328292 4801771056 6402361408 7202656584 9603542112 12804722816 14405313168 19207084224 28810626336 38414168448 57621252672 115242505344