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12424444400 = 245231061111
BaseRepresentation
bin10111001001000110…
…11111100111110000
31012001212210011121102
423210203133213300
5200421124210100
65412510543532
7616614014654
oct134443374760
935055704542
1012424444400
1152a6302a75
1224a8b07ba8
131230084464
1485c146a64
154cab61cd5
hex2e48df9f0

12424444400 has 30 divisors (see below), whose sum is σ = 29849728632. Its totient is φ = 4969777600.

The previous prime is 12424444363. The next prime is 12424444429. The reversal of 12424444400 is 444442421.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 15530156 + ... + 15530955.

Almost surely, 212424444400 is an apocalyptic number.

12424444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12424444400 is an abundant number, since it is smaller than the sum of its proper divisors (17425284232).

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

12424444400 is a wasteful number, since it uses less digits than its factorization.

12424444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31061129 (or 31061118 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 12424444400 its reverse (444442421), we get a palindrome (12868886821).

The spelling of 12424444400 in words is "twelve billion, four hundred twenty-four million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 31061111 62122222 124244444 155305555 248488888 310611110 496977776 621222220 776527775 1242444440 1553055550 2484888880 3106111100 6212222200 12424444400