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15114014305 = 51317131263397
BaseRepresentation
bin11100001001101110…
…11000111001100001
31110000022200110220121
432010313120321201
5221423141424210
610535425440241
71043353000435
oct160467307141
943008613817
1015114014305
116456515715
122b197a0081
13156b358640
14a354229c5
155d6d366da
hex384dd8e61

15114014305 has 64 divisors (see below), whose sum is σ = 20970690048. Its totient is φ = 10358599680.

The previous prime is 15114014287. The next prime is 15114014353. The reversal of 15114014305 is 50341041151.

15114014305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15114014305 - 27 = 15114014177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15114014305.

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 63 ways as a sum of consecutive naturals, for example, 38070367 + ... + 38070763.

It is an arithmetic number, because the mean of its divisors is an integer number (327667032).

Almost surely, 215114014305 is an apocalyptic number.

It is an amenable number.

15114014305 is a deficient number, since it is larger than the sum of its proper divisors (5856675743).

15114014305 is a wasteful number, since it uses less digits than its factorization.

15114014305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 15114014305 its reverse (50341041151), we get a palindrome (65455055456).

The spelling of 15114014305 in words is "fifteen billion, one hundred fourteen million, fourteen thousand, three hundred five".

Divisors: 1 5 13 17 65 85 131 221 263 397 655 1105 1315 1703 1985 2227 3419 4471 5161 6749 8515 11135 17095 22355 25805 28951 33745 34453 52007 58123 87737 104411 144755 172265 260035 290615 438685 447889 522055 585701 676091 884119 1357343 1774987 2239445 2928505 3380455 4420595 6786715 7614113 8874935 11493547 13677841 23074831 38070565 57467735 68389205 115374155 177811933 232523297 889059665 1162616485 3022802861 15114014305