Search a number
-
+
404123020113033 = 3213231217154379973
BaseRepresentation
bin101101111100011000011100…
…1000011110011010010001001
31221222212210011010000001210200
41123320300321003303102021
5410432122421122104113
63551255315201002413
7151056632112433224
oct13370607103632211
91858783133001720
10404123020113033
1110784767942aa71
12393a98b9923409
1314465839137a80
1471b19310505bb
1531ac2792a7873
hex16f8c390f3489

404123020113033 has 96 divisors (see below), whose sum is σ = 656940493407744. Its totient is φ = 237525960646656.

The previous prime is 404123020112989. The next prime is 404123020113037. The reversal of 404123020113033 is 330311020321404.

It is a happy number.

404123020113033 is a `hidden beast` number, since 4 + 0 + 41 + 2 + 302 + 0 + 11 + 303 + 3 = 666.

It is not a de Polignac number, because 404123020113033 - 221 = 404123018015881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404123020112988 and 404123020113006.

It is not an unprimeable number, because it can be changed into a prime (404123020113037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5053203235 + ... + 5053283207.

It is an arithmetic number, because the mean of its divisors is an integer number (6843130139664).

Almost surely, 2404123020113033 is an apocalyptic number.

It is an amenable number.

404123020113033 is a deficient number, since it is larger than the sum of its proper divisors (252817473294711).

404123020113033 is a wasteful number, since it uses less digits than its factorization.

404123020113033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82775 (or 82772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 404123020113033 its reverse (330311020321404), we get a palindrome (734434040434437).

The spelling of 404123020113033 in words is "four hundred four trillion, one hundred twenty-three billion, twenty million, one hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 1217 1543 2691 3651 4629 10953 13887 15821 20059 27991 35489 47463 60177 79973 83973 106467 142389 180531 239919 251919 319401 363883 461357 719757 1039649 1091649 1384071 1839379 1877831 3118947 3274947 4152213 5518137 5633493 9356841 16554411 16900479 23911927 24411803 43190113 71735781 73235409 97327141 123398339 129570339 215207343 219706227 291981423 370195017 388711017 561471469 875944269 1110585051 1265252833 1604178407 1684414407 2238524243 2838161797 3795758499 4812535221 5053243221 6715572729 8514485391 11387275497 14437605663 20146718187 25543456173 29100815159 36896103361 87302445477 110688310083 150175778563 261907336431 332064930249 450527335689 1351582007067 1952285121319 3454042906949 5856855363957 10362128720847 17570566091871 31086386162541 44902557790337 134707673371011 404123020113033