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20441314304 = 21026974209
BaseRepresentation
bin10011000010011001…
…011011010000000000
31221202120221100122222
4103002121123100000
5313330434024204
613220212150212
71322361206345
oct230231332000
957676840588
1020441314304
11873a652a94
123b65908368
131c09c53068
14dbcb627cc
157e9890abe
hex4c265b400

20441314304 has 44 divisors (see below), whose sum is σ = 41015124900. Its totient is φ = 10182524928.

The previous prime is 20441314279. The next prime is 20441314319. The reversal of 20441314304 is 40341314402.

It can be written as a sum of positive squares in 2 ways, for example, as 11740155904 + 8701158400 = 108352^2 + 93280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238352 + ... + 312560.

Almost surely, 220441314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20507562450).

20441314304 is an abundant number, since it is smaller than the sum of its proper divisors (20573810596).

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

20441314304 is an equidigital number, since it uses as much as digits as its factorization.

20441314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74498 (or 74480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 20441314304 its reverse (40341314402), we get a palindrome (60782628706).

The spelling of 20441314304 in words is "twenty billion, four hundred forty-one million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 1024 1076 2152 4304 8608 17216 34432 68864 74209 137728 148418 275456 296836 593672 1187344 2374688 4749376 9498752 18997504 19962221 37995008 39924442 75990016 79848884 159697768 319395536 638791072 1277582144 2555164288 5110328576 10220657152 20441314304