Search a number
-
+
14265244256241 = 31117210114809693
BaseRepresentation
bin1100111110010110001011…
…0100010000011111110001
31212111202002101210021010210
43033211202310100133301
53332210210012144431
650201210204014333
73001426023340056
oct317454264203761
955452071707123
1014265244256241
1145aa946541210
1217248495313a9
137c628c3400b4
143746276c702d
1519b1121c8d46
hexcf962d107f1

14265244256241 has 48 divisors (see below), whose sum is σ = 22260036379968. Its totient is φ = 8056472448000.

The previous prime is 14265244256231. The next prime is 14265244256261.

14265244256241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14265244256241 - 26 = 14265244256177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14265244256231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6441610 + ... + 8368083.

It is an arithmetic number, because the mean of its divisors is an integer number (463750757916).

Almost surely, 214265244256241 is an apocalyptic number.

14265244256241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14265244256241 is a deficient number, since it is larger than the sum of its proper divisors (7994792123727).

14265244256241 is a wasteful number, since it uses less digits than its factorization.

14265244256241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809842 (or 14809825 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 14265244256241 in words is "fourteen trillion, two hundred sixty-five billion, two hundred forty-four million, two hundred fifty-six thousand, two hundred forty-one".

Divisors: 1 3 11 17 33 51 101 187 289 303 561 867 1111 1717 3179 3333 5151 9537 18887 29189 56661 87567 321079 963237 14809693 44429079 162906623 251764781 488719869 755294343 1495778993 2769412591 4280001277 4487336979 8308237773 12840003831 16453568923 25428242881 47080014047 49360706769 76284728643 141240042141 279710671691 432280128977 839132015073 1296840386931 4755081418747 14265244256241