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404130234132 = 2232107556918839
BaseRepresentation
bin1011110000110000000…
…10011111111100010100
31102122010112100000002100
411320120002133330110
523110124314443012
6505353241242100
741124503211642
oct5703002377424
91378115300070
10404130234132
11146432a88439
12663a6493330
132c15622ac71
14157ba938192
15a7a42e68dc
hex5e1809ff14

404130234132 has 72 divisors (see below), whose sum is σ = 1031338526400. Its totient is φ = 133420059648.

The previous prime is 404130234071. The next prime is 404130234133. The reversal of 404130234132 is 231432031404.

404130234132 is a `hidden beast` number, since 4 + 0 + 413 + 0 + 234 + 13 + 2 = 666.

It is a super-2 number, since 2×4041302341322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404130234096 and 404130234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404130234133) 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 23 ways as a sum of consecutive naturals, for example, 21442369 + ... + 21461207.

It is an arithmetic number, because the mean of its divisors is an integer number (14324146200).

Almost surely, 2404130234132 is an apocalyptic number.

It is an amenable number.

404130234132 is an abundant number, since it is smaller than the sum of its proper divisors (627208292268).

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

404130234132 is a wasteful number, since it uses less digits than its factorization.

404130234132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24525 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 404130234132 its reverse (231432031404), we get a palindrome (635562265536).

The spelling of 404130234132 in words is "four hundred four billion, one hundred thirty million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 5569 11138 16707 18839 22276 33414 37678 50121 56517 66828 75356 100242 113034 169551 200484 226068 339102 595883 678204 1191766 1787649 2015773 2383532 3575298 4031546 5362947 6047319 7150596 8063092 10725894 12094638 18141957 21451788 24189276 36283914 72567828 104914391 209828782 314743173 419657564 629486346 944229519 1258972692 1888459038 3776918076 11225839837 22451679674 33677519511 44903359348 67355039022 101032558533 134710078044 202065117066 404130234132