Search a number
-
+
12454400224 = 25755600001
BaseRepresentation
bin10111001100101011…
…10001000011100000
31012010222011002021101
423212111301003200
5201001311301344
65415501004144
7620426440510
oct134625610340
935128132241
1012454400224
115311203252
1224b6b53654
1312363422b6
14862103840
154cd5cc9d4
hex2e65710e0

12454400224 has 24 divisors (see below), whose sum is σ = 28022401008. Its totient is φ = 5337600000.

The previous prime is 12454400201. The next prime is 12454400239. The reversal of 12454400224 is 42200445421.

It is a super-2 number, since 2×124544002242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12454400192 and 12454400201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27799777 + ... + 27800224.

It is an arithmetic number, because the mean of its divisors is an integer number (1167600042).

Almost surely, 212454400224 is an apocalyptic number.

12454400224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12454400224 is an abundant number, since it is smaller than the sum of its proper divisors (15568000784).

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

12454400224 is an equidigital number, since it uses as much as digits as its factorization.

12454400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55600018 (or 55600010 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 12454400224 its reverse (42200445421), we get a palindrome (54654845645).

The spelling of 12454400224 in words is "twelve billion, four hundred fifty-four million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 55600001 111200002 222400004 389200007 444800008 778400014 889600016 1556800028 1779200032 3113600056 6227200112 12454400224