Search a number
-
+
14503144041 = 34133812
BaseRepresentation
bin11011000000111010…
…00110101001101001
31101102202020001110000
431200131012221221
5214200301102131
610355044413213
71022254455531
oct154035065151
941382201400
1014503144041
116172712861
1229890a7209
1314a1925049
149b824a4c1
1559d3bcce6
hex360746a69

14503144041 has 15 divisors (see below), whose sum is σ = 21666809703. Its totient is φ = 9668040120.

The previous prime is 14503144039. The next prime is 14503144043. The reversal of 14503144041 is 14044130541.

The square root of 14503144041 is 120429.

It is a perfect power (a square), and thus also a powerful number.

14503144041 is a `hidden beast` number, since 14 + 503 + 144 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (14503144039) and next prime (14503144043).

It can be written as a sum of positive squares in only one way, i.e., 1765764441 + 12737379600 = 42021^2 + 112860^2 .

It is not a de Polignac number, because 14503144041 - 21 = 14503144039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14503143996 and 14503144014.

It is not an unprimeable number, because it can be changed into a prime (14503144043) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1077171 + ... + 1090551.

Almost surely, 214503144041 is an apocalyptic number.

14503144041 is the 120429-th square number.

14503144041 is the 60215-th centered octagonal number.

It is an amenable number.

14503144041 is a deficient number, since it is larger than the sum of its proper divisors (7163665662).

14503144041 is an frugal number, since it uses more digits than its factorization.

14503144041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26774 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14503144041 its reverse (14044130541), we get a palindrome (28547274582).

The spelling of 14503144041 in words is "fourteen billion, five hundred three million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 9 27 81 13381 40143 120429 361287 1083861 179051161 537153483 1611460449 4834381347 14503144041