Search a number
-
+
12444134200 = 2352611020011
BaseRepresentation
bin10111001011011101…
…00110101100111000
31012010020211111221021
423211232212230320
5200441144243300
65414452552224
7620243252431
oct134556465470
935106744837
1012444134200
115306431233
1224b3622674
131234189624
148609d0488
154cc750d1a
hex2e5ba6b38

12444134200 has 48 divisors (see below), whose sum is σ = 29406945960. Its totient is φ = 4896048000.

The previous prime is 12444134179. The next prime is 12444134201. The reversal of 12444134200 is 243144421.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444134201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 497806 + ... + 522205.

Almost surely, 212444134200 is an apocalyptic number.

12444134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444134200 is an abundant number, since it is smaller than the sum of its proper divisors (16962811760).

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

12444134200 is a wasteful number, since it uses less digits than its factorization.

12444134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020088 (or 1020079 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12444134200 its reverse (243144421), we get a palindrome (12687278621).

The spelling of 12444134200 in words is "twelve billion, four hundred forty-four million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 1020011 2040022 4080044 5100055 8160088 10200110 20400220 25500275 40800440 51000550 62220671 102001100 124441342 204002200 248882684 311103355 497765368 622206710 1244413420 1555516775 2488826840 3111033550 6222067100 12444134200