Search a number
-
+
14113014144 = 27343983719
BaseRepresentation
bin11010010010011001…
…11000000110000000
31100102120010101211120
431021030320012000
5212400412423034
610252230512240
71006506432555
oct151114700600
940376111746
1014113014144
115a92479459
12289a505680
13143bb5b158
1497c4d4a2c
15579008c49
hex349338180

14113014144 has 64 divisors (see below), whose sum is σ = 37573536000. Its totient is φ = 4693565952.

The previous prime is 14113014121. The next prime is 14113014163. The reversal of 14113014144 is 44141031141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126717 + ... + 210435.

It is an arithmetic number, because the mean of its divisors is an integer number (587086500).

Almost surely, 214113014144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14113014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786768000).

14113014144 is an abundant number, since it is smaller than the sum of its proper divisors (23460521856).

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

14113014144 is an equidigital number, since it uses as much as digits as its factorization.

14113014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84175 (or 84163 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14113014144 its reverse (44141031141), we get a palindrome (58254045285).

The spelling of 14113014144 in words is "fourteen billion, one hundred thirteen million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1317 1756 2634 3512 5268 7024 10536 14048 21072 28096 42144 56192 83719 84288 167438 168576 251157 334876 502314 669752 1004628 1339504 2009256 2679008 4018512 5358016 8037024 10716032 16074048 32148096 36752641 73505282 110257923 147010564 220515846 294021128 441031692 588042256 882063384 1176084512 1764126768 2352169024 3528253536 4704338048 7056507072 14113014144