Search a number
-
+
14234333232 = 243754178307
BaseRepresentation
bin11010100000110111…
…01011000000110000
31100202000102001100010
431100123223000300
5213122442130412
610312243054520
71012511556540
oct152033530060
940660361303
1014234333232
116044a01269
122913071440
13145b0275b2
14990675320
155849c033c
hex3506eb030

14234333232 has 80 divisors (see below), whose sum is σ = 42103392512. Its totient is φ = 4059383040.

The previous prime is 14234333221. The next prime is 14234333261. The reversal of 14234333232 is 23233343241.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14234333232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142623 + ... + 220929.

Almost surely, 214234333232 is an apocalyptic number.

14234333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051696256).

14234333232 is an abundant number, since it is smaller than the sum of its proper divisors (27869059280).

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

14234333232 is a wasteful number, since it uses less digits than its factorization.

14234333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78866 (or 78860 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 14234333232 its reverse (23233343241), we get a palindrome (37467676473).

The spelling of 14234333232 in words is "fourteen billion, two hundred thirty-four million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 541 1082 1623 2164 3246 3787 4328 6492 7574 8656 11361 12984 15148 22722 25968 30296 45444 60592 78307 90888 156614 181776 234921 313228 469842 548149 626456 939684 1096298 1252912 1644447 1879368 2192596 3288894 3758736 4385192 6577788 8770384 13155576 26311152 42364087 84728174 127092261 169456348 254184522 296548609 338912696 508369044 593097218 677825392 889645827 1016738088 1186194436 1779291654 2033476176 2372388872 3558583308 4744777744 7117166616 14234333232