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2040413221 = 71126498873
BaseRepresentation
bin111100110011110…
…0011110000100101
312021012101201202001
41321213203300211
513134321210341
6534245045301
7101364140410
oct17147436045
95235351661
102040413221
1195783a720
1248b3b6831
13266957002
14154db8b77
15be1e6d31
hex799e3c25

2040413221 has 8 divisors (see below), whose sum is σ = 2543891904. Its totient is φ = 1589932320.

The previous prime is 2040413213. The next prime is 2040413227. The reversal of 2040413221 is 1223140402.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2040413221 - 23 = 2040413213 is a prime.

It is a super-3 number, since 3×20404132213 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040413227) 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 7 ways as a sum of consecutive naturals, for example, 13249360 + ... + 13249513.

It is an arithmetic number, because the mean of its divisors is an integer number (317986488).

Almost surely, 22040413221 is an apocalyptic number.

It is an amenable number.

2040413221 is a deficient number, since it is larger than the sum of its proper divisors (503478683).

2040413221 is a wasteful number, since it uses less digits than its factorization.

2040413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26498891.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2040413221 is about 45170.9333642775. The cubic root of 2040413221 is about 1268.3507682679.

Adding to 2040413221 its reverse (1223140402), we get a palindrome (3263553623).

The spelling of 2040413221 in words is "two billion, forty million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 7 11 77 26498873 185492111 291487603 2040413221