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14122324224 = 28326129481
BaseRepresentation
bin11010010011100000…
…11001000100000000
31100110012122101212100
431021300121010000
5212410303333344
610253202230400
71006651526631
oct151160310400
940405571770
1014122324224
115a97758238
1228a1655400
131440a6a988
1497d839888
15579c47569
hex349c19100

14122324224 has 54 divisors (see below), whose sum is σ = 40718148926. Its totient is φ = 4707440640.

The previous prime is 14122324159. The next prime is 14122324261. The reversal of 14122324224 is 42242322141.

It is a happy number.

14122324224 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 232 + 422 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12358324224 + 1764000000 = 111168^2 + 42000^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3062437 + ... + 3067044.

Almost surely, 214122324224 is an apocalyptic number.

It is an amenable number.

14122324224 is an abundant number, since it is smaller than the sum of its proper divisors (26595824702).

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

14122324224 is an equidigital number, since it uses as much as digits as its factorization.

14122324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129503 (or 6129486 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 14122324224 its reverse (42242322141), we get a palindrome (56364646365).

The spelling of 14122324224 in words is "fourteen billion, one hundred twenty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6129481 12258962 18388443 24517924 36776886 49035848 55165329 73553772 98071696 110330658 147107544 196143392 220661316 294215088 392286784 441322632 588430176 784573568 882645264 1176860352 1569147136 1765290528 2353720704 3530581056 4707441408 7061162112 14122324224