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20441314305 = 35567724851
BaseRepresentation
bin10011000010011001…
…011011010000000001
31221202120221100200000
4103002121123100001
5313330434024210
613220212150213
71322361206346
oct230231332001
957676840600
1020441314305
11873a652a95
123b65908369
131c09c53069
14dbcb627cd
157e9890ac0
hex4c265b401

20441314305 has 48 divisors (see below), whose sum is σ = 36799648704. Its totient is φ = 10885492800.

The previous prime is 20441314279. The next prime is 20441314319. The reversal of 20441314305 is 50341314402.

It is a happy number.

20441314305 is a `hidden beast` number, since 2 + 0 + 4 + 41 + 314 + 305 = 666.

It is not a de Polignac number, because 20441314305 - 26 = 20441314241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810130 + ... + 834980.

It is an arithmetic number, because the mean of its divisors is an integer number (766659348).

Almost surely, 220441314305 is an apocalyptic number.

It is an amenable number.

20441314305 is a deficient number, since it is larger than the sum of its proper divisors (16358334399).

20441314305 is an equidigital number, since it uses as much as digits as its factorization.

20441314305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25548 (or 25536 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20441314305 its reverse (50341314402), we get a palindrome (70782628707).

The spelling of 20441314305 in words is "twenty billion, four hundred forty-one million, three hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 677 1215 2031 3385 6093 10155 18279 24851 30465 54837 74553 91395 124255 164511 223659 274185 372765 670977 822555 1118295 2012931 3354885 6038793 10064655 16824127 30193965 50472381 84120635 151417143 252361905 454251429 757085715 1362754287 2271257145 4088262861 6813771435 20441314305