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404034343341 = 319531974011693
BaseRepresentation
bin1011110000100100101…
…00101101000110101101
31102121212211220020122120
411320102110231012231
523104430242441331
6505335534103153
741122230152646
oct5702224550655
91377784806576
10404034343341
11146393943252
126637a34aab9
132c13c3c5955
14157abcd66cd
15a79aba4796
hex5e1252d1ad

404034343341 has 64 divisors (see below), whose sum is σ = 582489895680. Its totient is φ = 248326041600.

The previous prime is 404034343337. The next prime is 404034343369. The reversal of 404034343341 is 143343430404.

It is not a de Polignac number, because 404034343341 - 22 = 404034343337 is a prime.

It is a super-3 number, since 3×4040343433413 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404034343841) 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, 238649091 + ... + 238650783.

It is an arithmetic number, because the mean of its divisors is an integer number (9101404620).

Almost surely, 2404034343341 is an apocalyptic number.

It is an amenable number.

404034343341 is a deficient number, since it is larger than the sum of its proper divisors (178455552339).

404034343341 is a wasteful number, since it uses less digits than its factorization.

404034343341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 404034343341 its reverse (143343430404), we get a palindrome (547377773745).

The spelling of 404034343341 in words is "four hundred four billion, thirty-four million, three hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 19 53 57 159 197 401 591 1007 1203 1693 3021 3743 5079 7619 10441 11229 21253 22857 31323 32167 63759 78997 89729 96501 198379 236991 269187 333521 403807 595137 678893 1000563 1211421 1500943 1704851 2036679 4186841 4502829 5114553 6336899 12560523 12898967 17676613 19010697 35981329 38696901 53029839 79549979 107943987 133741921 238649937 335855647 401225763 683645251 1007566941 2050935753 2541096499 7088321813 7623289497 21264965439 134678114447 404034343341