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21042124240 = 245263026553
BaseRepresentation
bin10011100110001101…
…010101010111010000
32000022110110122221211
4103212031111113100
5321043240433430
613355553425504
71343305050664
oct234615252720
960273418854
1021042124240
118a18804425
1240b2b6b294
131ca45734b7
14103887a8a4
158324bd72a
hex4e63555d0

21042124240 has 20 divisors (see below), whose sum is σ = 48922939044. Its totient is φ = 8416849664.

The previous prime is 21042124219. The next prime is 21042124249. The reversal of 21042124240 is 4242124012.

It can be written as a sum of positive squares in 2 ways, for example, as 14811863616 + 6230260624 = 121704^2 + 78932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042124249) 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, 131513197 + ... + 131513356.

Almost surely, 221042124240 is an apocalyptic number.

21042124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21042124240 is an abundant number, since it is smaller than the sum of its proper divisors (27880814804).

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

21042124240 is a wasteful number, since it uses less digits than its factorization.

21042124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263026566 (or 263026560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 21042124240 its reverse (4242124012), we get a palindrome (25284248252).

The spelling of 21042124240 in words is "twenty-one billion, forty-two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263026553 526053106 1052106212 1315132765 2104212424 2630265530 4208424848 5260531060 10521062120 21042124240