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3940618221 = 3319233311009
BaseRepresentation
bin1110101011100001…
…0000111111101101
3101011121222010222000
43222320100333231
531032244240341
61451005042513
7166436462601
oct35270207755
911147863860
103940618221
111742415881
1291b856439
134aa52cc77
142954d7501
15180e458b6
hexeae10fed

3940618221 has 64 divisors (see below), whose sum is σ = 6438144000. Its totient is φ = 2371057920.

The previous prime is 3940618181. The next prime is 3940618243. The reversal of 3940618221 is 1228160493.

3940618221 is a `hidden beast` number, since 39 + 4 + 0 + 618 + 2 + 2 + 1 = 666.

3940618221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3940618221 - 213 = 3940610029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940618291) 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 63 ways as a sum of consecutive naturals, for example, 3904965 + ... + 3905973.

It is an arithmetic number, because the mean of its divisors is an integer number (100596000).

Almost surely, 23940618221 is an apocalyptic number.

It is an amenable number.

3940618221 is a deficient number, since it is larger than the sum of its proper divisors (2497525779).

3940618221 is a wasteful number, since it uses less digits than its factorization.

3940618221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3940618221 is about 62774.3436524827. The cubic root of 3940618221 is about 1579.5066318628.

The spelling of 3940618221 in words is "three billion, nine hundred forty million, six hundred eighteen thousand, two hundred twenty-one".

Divisors: 1 3 9 19 23 27 57 69 171 207 331 437 513 621 993 1009 1311 2979 3027 3933 6289 7613 8937 9081 11799 18867 19171 22839 23207 27243 56601 57513 68517 69621 144647 169803 172539 205551 208863 333979 433941 440933 517617 626589 1001937 1301823 1322799 3005811 3905469 3968397 6345601 7681517 9017433 11905191 19036803 23044551 57110409 69133653 145948823 171331227 207400959 437846469 1313539407 3940618221