Search a number
-
+
14155121295 = 3257139379853
BaseRepresentation
bin11010010111011011…
…00000001010001111
31100112111100122222200
431023231200022033
5212442202340140
610300333212543
71010530355130
oct151355401217
940474318880
1014155121295
116004219157
1228b0631153
1314477b1b23
14983d35c87
1557ca75030
hex34bb6028f

14155121295 has 96 divisors (see below), whose sum is σ = 28350067200. Its totient is φ = 6399896832.

The previous prime is 14155121287. The next prime is 14155121297. The reversal of 14155121295 is 59212155141.

14155121295 is a `hidden beast` number, since 1 + 4 + 1 + 551 + 2 + 12 + 95 = 666.

14155121295 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 14155121295 - 23 = 14155121287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14155121297) 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 95 ways as a sum of consecutive naturals, for example, 16594089 + ... + 16594941.

It is an arithmetic number, because the mean of its divisors is an integer number (295313200).

Almost surely, 214155121295 is an apocalyptic number.

14155121295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14155121295 is an abundant number, since it is smaller than the sum of its proper divisors (14194945905).

14155121295 is a wasteful number, since it uses less digits than its factorization.

14155121295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1386 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The spelling of 14155121295 in words is "fourteen billion, one hundred fifty-five million, one hundred twenty-one thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 139 315 379 417 695 853 973 1137 1251 1895 2085 2559 2653 2919 3411 4265 4865 5685 5971 6255 7677 7959 8757 12795 13265 14595 17055 17913 23877 29855 38385 39795 43785 52681 53739 89565 118567 119385 158043 263405 268695 323287 355701 368767 474129 592835 790215 829969 969861 1067103 1106301 1616435 1778505 1843835 2263009 2370645 2489907 2909583 3318903 4149845 4849305 5335515 5531505 6789027 7469721 11315045 12449535 14547915 16594515 20367081 33945135 37348605 44936893 101835405 134810679 224684465 314558251 404432037 674053395 943674753 1572791255 2022160185 2831024259 4718373765 14155121295