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20400314241 = 361401327779
BaseRepresentation
bin10010111111111101…
…000001011110000001
31221122201210100011010
4102333331001132001
5313234440023431
613212145311133
71321352544546
oct227775013601
957581710133
1020400314241
11871949a03a
123b540354a9
131c015c9278
14db752cbcd
157e5e92846
hex4bff41781

20400314241 has 16 divisors (see below), whose sum is σ = 27654212160. Its totient is φ = 13373440320.

The previous prime is 20400314239. The next prime is 20400314261. The reversal of 20400314241 is 14241300402.

It is not a de Polignac number, because 20400314241 - 21 = 20400314239 is a prime.

It is a super-2 number, since 2×204003142412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20400314261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720490 + ... + 748268.

It is an arithmetic number, because the mean of its divisors is an integer number (1728388260).

Almost surely, 220400314241 is an apocalyptic number.

It is an amenable number.

20400314241 is a deficient number, since it is larger than the sum of its proper divisors (7253897919).

20400314241 is a wasteful number, since it uses less digits than its factorization.

20400314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31856.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20400314241 its reverse (14241300402), we get a palindrome (34641614643).

The spelling of 20400314241 in words is "twenty billion, four hundred million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 61 183 4013 12039 27779 83337 244793 734379 1694519 5083557 111477127 334431381 6800104747 20400314241