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40414342131 = 3217701937633
BaseRepresentation
bin100101101000111000…
…011110101111110011
310212022112201022001100
4211220320132233303
51130232032422011
630322135335443
72630335145232
oct455070365763
9125275638040
1040414342131
111615992a459
1279ba821583
133a70b75c17
141d55626b19
1510b807ed56
hex968e1ebf3

40414342131 has 24 divisors (see below), whose sum is σ = 61820619120. Its totient is φ = 25353732096.

The previous prime is 40414342127. The next prime is 40414342147. The reversal of 40414342131 is 13124341404.

40414342131 is a `hidden beast` number, since 4 + 0 + 414 + 34 + 213 + 1 = 666.

It is not a de Polignac number, because 40414342131 - 22 = 40414342127 is a prime.

It is a super-2 number, since 2×404143421312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40414342095 and 40414342104.

It is not an unprimeable number, because it can be changed into a prime (40414342531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055091 + ... + 1092723.

It is an arithmetic number, because the mean of its divisors is an integer number (2575859130).

Almost surely, 240414342131 is an apocalyptic number.

40414342131 is a deficient number, since it is larger than the sum of its proper divisors (21406276989).

40414342131 is a wasteful number, since it uses less digits than its factorization.

40414342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44675 (or 44672 counting only the distinct ones).

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

Adding to 40414342131 its reverse (13124341404), we get a palindrome (53538683535).

The spelling of 40414342131 in words is "forty billion, four hundred fourteen million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 17 51 153 7019 21057 37633 63171 112899 119323 338697 357969 639761 1073907 1919283 5757849 264146027 792438081 2377314243 4490482459 13471447377 40414342131