Search a number
-
+
404012340333423 = 34171269132311823
BaseRepresentation
bin101101111011100100111010…
…0000001111100101101101111
31221222111012110122110201010000
41123313021310001330231233
5410423314233111132143
63551132412405115343
7151045633265016063
oct13367116401745557
91858435418421100
10404012340333423
111078047425a1428
123939036b3b8b53
131445827ab5b313
1471aa431877aa3
1531a944c683bd3
hex16f727407cb6f

404012340333423 has 40 divisors (see below), whose sum is σ = 639031366214208. Its totient is φ = 253495831965696.

The previous prime is 404012340333421. The next prime is 404012340333451. The reversal of 404012340333423 is 324333043210404.

404012340333423 is a `hidden beast` number, since 4 + 0 + 40 + 123 + 40 + 3 + 33 + 423 = 666.

It is not a de Polignac number, because 404012340333423 - 21 = 404012340333421 is a prime.

It is a super-2 number, since 2×4040123403334232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404012340333421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173603290 + ... + 175915112.

Almost surely, 2404012340333423 is an apocalyptic number.

404012340333423 is a deficient number, since it is larger than the sum of its proper divisors (235019025880785).

404012340333423 is a wasteful number, since it uses less digits than its factorization.

404012340333423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438765 (or 2438756 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 404012340333423 its reverse (324333043210404), we get a palindrome (728345383543827).

The spelling of 404012340333423 in words is "four hundred four trillion, twelve billion, three hundred forty million, three hundred thirty-three thousand, four hundred twenty-three".

Divisors: 1 3 9 17 27 51 81 153 459 1377 126913 380739 1142217 2157521 2311823 3426651 6472563 6935469 10279953 19417689 20806407 39300991 58253067 62419221 117902973 174759201 187257663 353708919 1061126757 3183380271 293400392399 880201177197 2640603531591 4987806670783 7921810594773 14963420012349 23765431784319 44890260037047 134670780111141 404012340333423