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21142044224 = 26747192063
BaseRepresentation
bin10011101100001010…
…011111111001000000
32000120102111010101222
4103230022133321000
5321244330403344
613413523214212
71345630260620
oct235412377100
960512433358
1021142044224
118a6a150824
124120517368
131cbc189752
141047c4a880
1583b1595ee
hex4ec29fe40

21142044224 has 28 divisors (see below), whose sum is σ = 47947137024. Its totient is φ = 9060875904.

The previous prime is 21142044223. The next prime is 21142044257. The reversal of 21142044224 is 42244024112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 21142044193 and 21142044202.

It is not an unprimeable number, because it can be changed into a prime (21142044223) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 23595584 + ... + 23596479.

Almost surely, 221142044224 is an apocalyptic number.

It is an amenable number.

21142044224 is an abundant number, since it is smaller than the sum of its proper divisors (26805092800).

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

21142044224 is an equidigital number, since it uses as much as digits as its factorization.

21142044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47192082 (or 47192072 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 21142044224 its reverse (42244024112), we get a palindrome (63386068336).

The spelling of 21142044224 in words is "twenty-one billion, one hundred forty-two million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 47192063 94384126 188768252 330344441 377536504 660688882 755073008 1321377764 1510146016 2642755528 3020292032 5285511056 10571022112 21142044224