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14113140615 = 3257972292017
BaseRepresentation
bin11010010010011010…
…10110111110000111
31100102120100211022200
431021031112332013
5212400430444430
610252233325543
71006510500360
oct151115267607
940376324280
1014113140615
115a92555482
12289a5668b3
13143bba38a2
1497c528b67
15579031460
hex349356f87

14113140615 has 96 divisors (see below), whose sum is σ = 28383089280. Its totient is φ = 6354173952.

The previous prime is 14113140611. The next prime is 14113140641. The reversal of 14113140615 is 51604131141.

14113140615 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 3 + 1 + 40 + 615 = 666.

It is not a de Polignac number, because 14113140615 - 22 = 14113140611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113140611) 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 95 ways as a sum of consecutive naturals, for example, 6996087 + ... + 6998103.

It is an arithmetic number, because the mean of its divisors is an integer number (295657180).

Almost surely, 214113140615 is an apocalyptic number.

14113140615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14113140615 is an abundant number, since it is smaller than the sum of its proper divisors (14269948665).

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

14113140615 is a wasteful number, since it uses less digits than its factorization.

14113140615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 14113140615 its reverse (51604131141), we get a palindrome (65717271756).

The spelling of 14113140615 in words is "fourteen billion, one hundred thirteen million, one hundred forty thousand, six hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 229 291 315 485 679 687 873 1145 1455 1603 2017 2037 2061 3395 3435 4365 4809 6051 6111 8015 10085 10185 10305 14119 14427 18153 22213 24045 30255 30555 42357 66639 70595 72135 90765 111065 127071 155491 195649 199917 211785 333195 461893 466473 586947 635355 777455 978245 999585 1369543 1385679 1399419 1760841 2309465 2332365 2934735 3233251 4108629 4157037 6847715 6928395 6997095 8804205 9699753 12325887 16166255 20543145 20785185 29099259 44803621 48498765 61629435 134410863 145496295 224018105 313625347 403232589 672054315 940876041 1568126735 2016162945 2822628123 4704380205 14113140615