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14142140430 = 2351149187281
BaseRepresentation
bin11010010101110111…
…11111000000001110
31100111120221011120220
431022323333000032
5212430341443210
610255151052210
71010312132055
oct151273770016
940446834526
1014142140430
115aa7962470
1228a8211066
131444bb8542
1498231739c
1557b85dc70
hex34aeff00e

14142140430 has 64 divisors (see below), whose sum is σ = 37102530816. Its totient is φ = 3421376000.

The previous prime is 14142140393. The next prime is 14142140437. The reversal of 14142140430 is 3404124141.

It is a self number, because there is not a number n which added to its sum of digits gives 14142140430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142140437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118390 + ... + 205670.

It is an arithmetic number, because the mean of its divisors is an integer number (579727044).

Almost surely, 214142140430 is an apocalyptic number.

14142140430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551265408).

14142140430 is an abundant number, since it is smaller than the sum of its proper divisors (22960390386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14142140430 is a wasteful number, since it uses less digits than its factorization.

14142140430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87793.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14142140430 its reverse (3404124141), we get a palindrome (17546264571).

The spelling of 14142140430 in words is "fourteen billion, one hundred forty-two million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 491 982 1473 2455 2946 4910 5401 7365 10802 14730 16203 27005 32406 54010 81015 87281 162030 174562 261843 436405 523686 872810 960091 1309215 1920182 2618430 2880273 4800455 5760546 9600910 14401365 28802730 42854971 85709942 128564913 214274855 257129826 428549710 471404681 642824565 942809362 1285649130 1414214043 2357023405 2828428086 4714046810 7071070215 14142140430