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404231132133 = 3244914570237
BaseRepresentation
bin1011110000111100000…
…11011001001111100101
31102122101120012011010100
411320132003121033211
523110331132212013
6505411244014313
741130136634133
oct5703603311745
91378346164110
10404231132133
11146484a32614
1266414231399
132c1710c741a
14157ca0c0753
15a7ad0c7473
hex5e1e0d93e5

404231132133 has 6 divisors (see below), whose sum is σ = 583889413094. Its totient is φ = 269487421416.

The previous prime is 404231132119. The next prime is 404231132161. The reversal of 404231132133 is 331231132404.

It is a happy number.

404231132133 is a `hidden beast` number, since 404 + 2 + 31 + 13 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 347082404769 + 57148727364 = 589137^2 + 239058^2 .

It is not a de Polignac number, because 404231132133 - 25 = 404231132101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404231132097 and 404231132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404231134133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22457285110 + ... + 22457285127.

Almost surely, 2404231132133 is an apocalyptic number.

It is an amenable number.

404231132133 is a deficient number, since it is larger than the sum of its proper divisors (179658280961).

404231132133 is a wasteful number, since it uses less digits than its factorization.

404231132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44914570243 (or 44914570240 counting only the distinct ones).

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

Adding to 404231132133 its reverse (331231132404), we get a palindrome (735462264537).

The spelling of 404231132133 in words is "four hundred four billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 44914570237 134743710711 404231132133