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14121165345 = 3571711370009
BaseRepresentation
bin11010010011010111…
…11110001000100001
31100110010110112011220
431021223332020201
5212410004242340
610253121325253
71006635632160
oct151153761041
940403415156
1014121165345
115a97036591
1228a1196829
131440753351
1497d6173d7
15579ab8ed0
hex349afe221

14121165345 has 64 divisors (see below), whose sum is σ = 27582819840. Its totient is φ = 6021808128.

The previous prime is 14121165337. The next prime is 14121165349. The reversal of 14121165345 is 54356112141.

14121165345 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 14121165345 - 23 = 14121165337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14121165349) by changing a digit.

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, 166701 + ... + 236709.

It is an arithmetic number, because the mean of its divisors is an integer number (430981560).

Almost surely, 214121165345 is an apocalyptic number.

14121165345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14121165345 is a deficient number, since it is larger than the sum of its proper divisors (13461654495).

14121165345 is a wasteful number, since it uses less digits than its factorization.

14121165345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70154.

The product of its digits is 14400, while the sum is 33.

Adding to 14121165345 its reverse (54356112141), we get a palindrome (68477277486).

The spelling of 14121165345 in words is "fourteen billion, one hundred twenty-one million, one hundred sixty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 113 119 255 339 357 565 595 791 1695 1785 1921 2373 3955 5763 9605 11865 13447 28815 40341 67235 70009 201705 210027 350045 490063 1050135 1190153 1470189 2450315 3570459 5950765 7350945 7911017 8331071 17852295 23733051 24993213 39555085 41655355 55377119 118665255 124966065 134487289 166131357 276885595 403461867 672436445 830656785 941411023 2017309335 2824233069 4707055115 14121165345