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21143142144 = 28329176711
BaseRepresentation
bin10011101100001110…
…101011111100000000
32000120111112220110200
4103230032223330000
5321300121022034
613414002525200
71345642512555
oct235416537400
960514486420
1021143142144
118a6a8306a3
124120966800
131cbc4823c7
141048054a2c
1583b2c4a99
hex4ec3abf00

21143142144 has 54 divisors (see below), whose sum is σ = 60960897816. Its totient is φ = 7047713280.

The previous prime is 21143142121. The next prime is 21143142157. The reversal of 21143142144 is 44124134112.

21143142144 is a `hidden beast` number, since 2 + 11 + 431 + 4 + 214 + 4 = 666.

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

It is a congruent number.

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 in 5 ways as a sum of consecutive naturals, for example, 4586052 + ... + 4590659.

Almost surely, 221143142144 is an apocalyptic number.

21143142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21143142144 is an abundant number, since it is smaller than the sum of its proper divisors (39817755672).

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

21143142144 is an equidigital number, since it uses as much as digits as its factorization.

21143142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176733 (or 9176716 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 21143142144 its reverse (44124134112), we get a palindrome (65267276256).

The spelling of 21143142144 in words is "twenty-one billion, one hundred forty-three million, one hundred forty-two thousand, one hundred forty-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 9176711 18353422 27530133 36706844 55060266 73413688 82590399 110120532 146827376 165180798 220241064 293654752 330361596 440482128 587309504 660723192 880964256 1174619008 1321446384 1761928512 2349238016 2642892768 3523857024 5285785536 7047714048 10571571072 21143142144