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41406118425 = 325272171731277
BaseRepresentation
bin100110100011111111…
…110011101000011001
310221212122220202100200
4212203333303220121
51134244431242200
631004404452413
72664040125300
oct464377635031
9127778822320
1041406118425
1116618746691
1280369aa109
133b9b493bb9
14200b233437
151125189800
hex9a3ff3a19

41406118425 has 216 divisors, whose sum is σ = 91945929816. Its totient is φ = 17698222080.

The previous prime is 41406118393. The next prime is 41406118433. The reversal of 41406118425 is 52481160414.

41406118425 is a `hidden beast` number, since 4 + 14 + 0 + 611 + 8 + 4 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 185749641 + 41220368784 = 13629^2 + 203028^2 .

It is not a de Polignac number, because 41406118425 - 25 = 41406118393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41406118425.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32423887 + ... + 32425163.

It is an arithmetic number, because the mean of its divisors is an integer number (425675601).

Almost surely, 241406118425 is an apocalyptic number.

41406118425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41406118425 is an abundant number, since it is smaller than the sum of its proper divisors (50539811391).

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

41406118425 is a wasteful number, since it uses less digits than its factorization.

41406118425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 41406118425 its reverse (52481160414), we get a palindrome (93887278839).

The spelling of 41406118425 in words is "forty-one billion, four hundred six million, one hundred eighteen thousand, four hundred twenty-five".