Search a number
-
+
4281224112 = 243311900931
BaseRepresentation
bin1111111100101110…
…0100101110110000
3102001100212201102000
43333023210232300
532231443132422
61544453254000
7211043542644
oct37713445660
912040781360
104281224112
1118a7704050
129b5934300
13532c77309
142c883ac24
151a0cc5cac
hexff2e4bb0

4281224112 has 80 divisors (see below), whose sum is σ = 13405868160. Its totient is φ = 1297339200.

The previous prime is 4281224041. The next prime is 4281224137. The reversal of 4281224112 is 2114221824.

4281224112 is a `hidden beast` number, since 428 + 1 + 224 + 1 + 12 = 666.

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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 445714 + ... + 455217.

It is an arithmetic number, because the mean of its divisors is an integer number (167573352).

Almost surely, 24281224112 is an apocalyptic number.

It is an amenable number.

4281224112 is an abundant number, since it is smaller than the sum of its proper divisors (9124644048).

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

4281224112 is a wasteful number, since it uses less digits than its factorization.

4281224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900959 (or 900947 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 4281224112 is about 65431.0638152858. The cubic root of 4281224112 is about 1623.7630491407.

Adding to 4281224112 its reverse (2114221824), we get a palindrome (6395445936).

It can be divided in two parts, 428122 and 4112, that added together give a palindrome (432234).

The spelling of 4281224112 in words is "four billion, two hundred eighty-one million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 900931 1801862 2702793 3603724 5405586 7207448 8108379 9910241 10811172 14414896 16216758 19820482 21622344 24325137 29730723 32433516 39640964 43244688 48650274 59461446 64867032 79281928 89192169 97300548 118922892 129734064 158563856 178384338 194601096 237845784 267576507 356768676 389202192 475691568 535153014 713537352 1070306028 1427074704 2140612056 4281224112