Search a number
-
+
14140512135 = 3252275992311
BaseRepresentation
bin11010010101101011…
…10001011110000111
31100111110212102222200
431022311301132013
5212424432342020
610255052125543
71010262240621
oct151265613607
940443772880
1014140512135
115aa6a50072
1228a77668b3
131444768359
14982011c11
1557b63b590
hex34ad71787

14140512135 has 48 divisors (see below), whose sum is σ = 24669964800. Its totient is φ = 7492605120.

The previous prime is 14140512119. The next prime is 14140512163. The reversal of 14140512135 is 53121504141.

14140512135 is a `hidden beast` number, since 1 + 4 + 14 + 0 + 512 + 135 = 666.

It is not a de Polignac number, because 14140512135 - 24 = 14140512119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14140512099 and 14140512108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6117630 + ... + 6119940.

It is an arithmetic number, because the mean of its divisors is an integer number (513957600).

Almost surely, 214140512135 is an apocalyptic number.

14140512135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14140512135 is a deficient number, since it is larger than the sum of its proper divisors (10529452665).

14140512135 is a wasteful number, since it uses less digits than its factorization.

14140512135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 14140512135 in words is "fourteen billion, one hundred forty million, five hundred twelve thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 227 599 681 1135 1797 2043 2311 2995 3405 5391 6933 8985 10215 11555 20799 26955 34665 103995 135973 407919 524597 679865 1223757 1384289 1573791 2039595 2622985 4152867 4721373 6118785 6921445 7868955 12458601 20764335 23606865 62293005 314233603 942700809 1571168015 2828102427 4713504045 14140512135