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1040404221 = 323743113643
BaseRepresentation
bin111110000000110…
…100111011111101
32200111201000021200
4332000310323331
54112320413341
6251123250113
734532201313
oct7600647375
92614630250
101040404221
114943100aa
12250519939
131377159cc
149c2680b3
1561512db6
hex3e034efd

1040404221 has 48 divisors (see below), whose sum is σ = 1595770176. Its totient is φ = 652313088.

The previous prime is 1040404219. The next prime is 1040404247. The reversal of 1040404221 is 1224040401.

1040404221 is a `hidden beast` number, since 1 + 0 + 40 + 404 + 221 = 666.

It is not a de Polignac number, because 1040404221 - 21 = 1040404219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040404194 and 1040404203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040404291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1617726 + ... + 1618368.

It is an arithmetic number, because the mean of its divisors is an integer number (33245212).

Almost surely, 21040404221 is an apocalyptic number.

It is an amenable number.

1040404221 is a deficient number, since it is larger than the sum of its proper divisors (555365955).

1040404221 is a wasteful number, since it uses less digits than its factorization.

1040404221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040404221 is about 32255.2975648962. The cubic root of 1040404221 is about 1013.2906497367.

Adding to 1040404221 its reverse (1224040401), we get a palindrome (2264444622).

The spelling of 1040404221 in words is "one billion, forty million, four hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 37 43 111 113 129 333 339 387 643 1017 1591 1929 4181 4773 4859 5787 12543 14319 14577 23791 27649 37629 43731 71373 72659 82947 179783 214119 217977 248841 539349 653931 1023013 1618047 2688383 3069039 3124337 8065149 9207117 9373011 24195447 28119033 115600469 346801407 1040404221