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122444013344 = 253826375417
BaseRepresentation
bin111001000001000111…
…0110101111100100000
3102201001100000100112012
41302002032311330200
54001231131411334
6132130000052052
711563163640512
oct1620216657440
9381040010465
10122444013344
1147a234a9564
121b892304028
13b714643503
145cd7b81bb2
1532b98229ce
hex1c823b5f20

122444013344 has 12 divisors (see below), whose sum is σ = 241061651334. Its totient is φ = 61222006656.

The previous prime is 122444013337. The next prime is 122444013361. The reversal of 122444013344 is 443310444221.

It can be written as a sum of positive squares in only one way, i.e., 62130547600 + 60313465744 = 249260^2 + 245588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3826375417 = 122444013344 / (1 + 2 + 2 + 4 + 4 + 4 + 0 + 1 + 3 + 3 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 122444013344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1913187677 + ... + 1913187740.

Almost surely, 2122444013344 is an apocalyptic number.

It is an amenable number.

122444013344 is a deficient number, since it is larger than the sum of its proper divisors (118617637990).

122444013344 is an equidigital number, since it uses as much as digits as its factorization.

122444013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826375427 (or 3826375419 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 122444013344 its reverse (443310444221), we get a palindrome (565754457565).

The spelling of 122444013344 in words is "one hundred twenty-two billion, four hundred forty-four million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 3826375417 7652750834 15305501668 30611003336 61222006672 122444013344