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404132918814 = 23440941914557
BaseRepresentation
bin1011110000110000011…
…00101111011000011110
31102122010201101101210000
411320120030233120132
523110131011400224
6505353414555130
741124535063002
oct5703014573036
91378121341700
10404132918814
11146434551489
12663a7368aa6
132c15695ac31
14157bb036702
15a7a46770c9
hex5e1832f61e

404132918814 has 80 divisors (see below), whose sum is σ = 910000198800. Its totient is φ = 134051677056.

The previous prime is 404132918801. The next prime is 404132918821. The reversal of 404132918814 is 418819231404.

404132918814 is a `hidden beast` number, since 40 + 413 + 2 + 9 + 188 + 14 = 666.

404132918814 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 404132918814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27754824 + ... + 27769380.

It is an arithmetic number, because the mean of its divisors is an integer number (11375002485).

Almost surely, 2404132918814 is an apocalyptic number.

404132918814 is an abundant number, since it is smaller than the sum of its proper divisors (505867279986).

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

404132918814 is a wasteful number, since it uses less digits than its factorization.

404132918814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 404132918814 in words is "four hundred four billion, one hundred thirty-two million, nine hundred eighteen thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 409 419 818 838 1227 1257 2454 2514 3681 3771 7362 7542 11043 11313 14557 22086 22626 29114 33129 33939 43671 66258 67878 87342 131013 171371 262026 342742 393039 514113 786078 1028226 1179117 1542339 2358234 3084678 4627017 5953813 6099383 9254034 11907626 12198766 13881051 17861439 18298149 27762102 35722878 36596298 53584317 54894447 107168634 109788894 160752951 164683341 321505902 329366682 482258853 494050023 964517706 988100046 2494647647 4989295294 7483942941 14967885882 22451828823 44903657646 67355486469 134710972938 202066459407 404132918814