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404242330024 = 231371353155087
BaseRepresentation
bin1011110000111101011…
…10000111000110101000
31102122102100021001202001
411320132232013012220
523110342014030044
6505412324020344
741130334053061
oct5703656070650
91378370231661
10404242330024
11146490290775
1266417b316b4
132c1735182b0
14157cb797568
15a7ae08a2d4
hex5e1eb871a8

404242330024 has 64 divisors (see below), whose sum is σ = 830105418240. Its totient is φ = 183423313920.

The previous prime is 404242330021. The next prime is 404242330049. The reversal of 404242330024 is 420033242404.

It is a happy number.

It is a super-2 number, since 2×4042423300242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404242329974 and 404242330001.

It is not an unprimeable number, because it can be changed into a prime (404242330021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529009 + ... + 2684095.

It is an arithmetic number, because the mean of its divisors is an integer number (12970397160).

Almost surely, 2404242330024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404242330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415052709120).

404242330024 is an abundant number, since it is smaller than the sum of its proper divisors (425863088216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404242330024 is a wasteful number, since it uses less digits than its factorization.

404242330024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155530 (or 155526 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 404242330024 its reverse (420033242404), we get a palindrome (824275572428).

The spelling of 404242330024 in words is "four hundred four billion, two hundred forty-two million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 353 568 706 923 1412 1846 2824 3692 4589 7384 9178 18356 25063 36712 50126 100252 155087 200504 310174 325819 620348 651638 1240696 1303276 2016131 2606552 4032262 8064524 11011177 16129048 22022354 44044708 54745711 88089416 109491422 143145301 218982844 286290602 437965688 572581204 711694243 1145162408 1423388486 2846776972 3886945481 5693553944 7773890962 15547781924 31095563848 50530291253 101060582506 202121165012 404242330024