Search a number
-
+
14444131212 = 22327250916087
BaseRepresentation
bin11010111001110111…
…11111001110001100
31101021122011220001200
431130323333032030
5214040144144322
610345135505500
71020640042500
oct153473771614
941248156050
1014444131212
116142376625
122971388290
131492632504
149b0488300
155981128ac
hex35ceff38c

14444131212 has 108 divisors (see below), whose sum is σ = 42558712560. Its totient is φ = 4118530752.

The previous prime is 14444131171. The next prime is 14444131217. The reversal of 14444131212 is 21213144441.

14444131212 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 3 + 1 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14444131217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 889833 + ... + 905919.

Almost surely, 214444131212 is an apocalyptic number.

14444131212 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 14444131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279356280).

14444131212 is an abundant number, since it is smaller than the sum of its proper divisors (28114581348).

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

14444131212 is a wasteful number, since it uses less digits than its factorization.

14444131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16620 (or 16608 counting only the distinct ones).

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

Adding to 14444131212 its reverse (21213144441), we get a palindrome (35657275653).

The spelling of 14444131212 in words is "fourteen billion, four hundred forty-four million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 509 588 882 1018 1527 1764 2036 3054 3563 4581 6108 7126 9162 10689 14252 16087 18324 21378 24941 32067 32174 42756 48261 49882 64134 64348 74823 96522 99764 112609 128268 144783 149646 193044 224469 225218 289566 299292 337827 448938 450436 579132 675654 788263 897876 1013481 1351308 1576526 2026962 2364789 3153052 4053924 4729578 7094367 8188283 9459156 14188734 16376566 24564849 28377468 32753132 49129698 57317981 73694547 98259396 114635962 147389094 171953943 229271924 294778188 343907886 401225867 515861829 687815772 802451734 1031723658 1203677601 1604903468 2063447316 2407355202 3611032803 4814710404 7222065606 14444131212