Search a number
-
+
14114142432 = 253413418867
BaseRepresentation
bin11010010010100010…
…01011100011100000
31100102122020201120000
431021101023203200
5212401210024212
610252311020000
71006522142205
oct151121134340
940378221500
1014114142432
115a9307a125
12289a96a600
13143c164890
1497c709cac
1557917d1dc
hex34944b8e0

14114142432 has 120 divisors (see below), whose sum is σ = 44702430696. Its totient is φ = 4342802688.

The previous prime is 14114142391. The next prime is 14114142437. The reversal of 14114142432 is 23424141141.

14114142432 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 414 + 243 + 2 = 666.

It is a super-3 number, since 3×141141424323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 14114142396 and 14114142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114142437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175738 + ... + 243129.

Almost surely, 214114142432 is an apocalyptic number.

14114142432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14114142432 is an abundant number, since it is smaller than the sum of its proper divisors (30588288264).

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

14114142432 is a wasteful number, since it uses less digits than its factorization.

14114142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418902 (or 418885 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 14114142432 its reverse (23424141141), we get a palindrome (37538283573).

The spelling of 14114142432 in words is "fourteen billion, one hundred fourteen million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 418867 837734 1256601 1675468 2513202 3350936 3769803 5026404 5445271 6701872 7539606 10052808 10890542 11309409 13403744 15079212 16335813 20105616 21781084 22618818 30158424 32671626 33928227 40211232 43562168 45237636 49007439 60316848 65343252 67856454 87124336 90475272 98014878 120633696 130686504 135712908 147022317 174248672 180950544 196029756 261373008 271425816 294044634 361901088 392059512 441066951 522746016 542851632 588089268 784119024 882133902 1085703264 1176178536 1568238048 1764267804 2352357072 3528535608 4704714144 7057071216 14114142432