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404021442321 = 3474616472389
BaseRepresentation
bin1011110000100011000…
…11011111011100010001
31102121211221121210210000
411320101203133130101
523104413442123241
6505334353400213
741122012411440
oct5702143373421
91377757553700
10404021442321
11146387631552
1266375b69069
132c139829803
14157aa2d8d57
15a7999a6eb6
hex5e118df711

404021442321 has 80 divisors (see below), whose sum is σ = 692612363520. Its totient is φ = 229916257920.

The previous prime is 404021442289. The next prime is 404021442323. The reversal of 404021442321 is 123244120404.

404021442321 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 214 + 423 + 21 = 666.

It is not a de Polignac number, because 404021442321 - 25 = 404021442289 is a prime.

It is a super-2 number, since 2×4040214423212 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (404021442323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169116195 + ... + 169118583.

It is an arithmetic number, because the mean of its divisors is an integer number (8657654544).

Almost surely, 2404021442321 is an apocalyptic number.

It is an amenable number.

404021442321 is a deficient number, since it is larger than the sum of its proper divisors (288590921199).

404021442321 is a wasteful number, since it uses less digits than its factorization.

404021442321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404021442321 its reverse (123244120404), we get a palindrome (527265562725).

The spelling of 404021442321 in words is "four hundred four billion, twenty-one million, four hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 461 567 647 1383 1941 2389 3227 4149 4529 5823 7167 9681 12447 13587 16723 17469 21501 29043 37341 40761 50169 52407 64503 87129 122283 150507 193509 261387 298267 366849 451521 894801 1101329 1354563 1545683 2087869 2684403 3303987 4637049 6263607 7709303 8053209 9911961 10819781 13911147 18790821 23127909 24159627 29735883 32459343 41733441 56372463 69383727 89207649 97378029 125200323 169117389 208151181 292134087 624453543 712559863 876402261 2137679589 4987919041 6413038767 14963757123 19239116301 44891271369 57717348903 134673814107 404021442321