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412140440331 = 3315264460753
BaseRepresentation
bin1011111111101010111…
…11000000101100001011
31110101210202221122021000
411333311133000230023
523223030423042311
6513200143550043
741530136640534
oct5776537005413
91411722848230
10412140440331
11149873596964
1267a60bbb323
132cb31905749
1415d3a6db68b
15aac265b056
hex5ff57c0b0b

412140440331 has 8 divisors (see below), whose sum is σ = 610578430160. Its totient is φ = 274760293536.

The previous prime is 412140440323. The next prime is 412140440359. The reversal of 412140440331 is 133044041214.

412140440331 is a `hidden beast` number, since 4 + 1 + 214 + 0 + 440 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 412140440331 - 23 = 412140440323 is a prime.

It is a super-2 number, since 2×4121404403312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15264460753 = 412140440331 / (4 + 1 + 2 + 1 + 4 + 0 + 4 + 4 + 0 + 3 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412140440295 and 412140440304.

It is not an unprimeable number, because it can be changed into a prime (412140440431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7632230350 + ... + 7632230403.

It is an arithmetic number, because the mean of its divisors is an integer number (76322303770).

Almost surely, 2412140440331 is an apocalyptic number.

412140440331 is a deficient number, since it is larger than the sum of its proper divisors (198437989829).

412140440331 is a wasteful number, since it uses less digits than its factorization.

412140440331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264460762 (or 15264460756 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412140440331 its reverse (133044041214), we get a palindrome (545184481545).

The spelling of 412140440331 in words is "four hundred twelve billion, one hundred forty million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 15264460753 45793382259 137380146777 412140440331