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14140224224 = 257454713883
BaseRepresentation
bin11010010101101001…
…01011001011100000
31100111110022211001022
431022310223023200
5212424344133344
610255042025012
71010256631340
oct151264531340
940443284038
1014140224224
115aa6873825
1228a7648168
1314446972a9
14981d78d20
1557b5d10ee
hex34ad2b2e0

14140224224 has 48 divisors (see below), whose sum is σ = 31824793728. Its totient is φ = 6058326912.

The previous prime is 14140224209. The next prime is 14140224227. The reversal of 14140224224 is 42242204141.

It is a happy number.

It is a super-2 number, since 2×141402242242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14140224193 and 14140224202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14140224227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011587 + ... + 1025469.

It is an arithmetic number, because the mean of its divisors is an integer number (663016536).

Almost surely, 214140224224 is an apocalyptic number.

14140224224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14140224224 is an abundant number, since it is smaller than the sum of its proper divisors (17684569504).

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

14140224224 is a wasteful number, since it uses less digits than its factorization.

14140224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447 (or 18439 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 14140224224 its reverse (42242204141), we get a palindrome (56382428365).

The spelling of 14140224224 in words is "fourteen billion, one hundred forty million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 4547 9094 13883 18188 27766 31829 36376 55532 63658 72752 97181 111064 127316 145504 194362 222128 254632 388724 444256 509264 777448 1018528 1554896 3109792 63126001 126252002 252504004 441882007 505008008 883764014 1010016016 1767528028 2020032032 3535056056 7070112112 14140224224