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40121316737 is a prime number
BaseRepresentation
bin100101010111011010…
…101011010110000001
310211120010100001202222
4211113122223112001
51124132024113422
630233111020425
72620146364625
oct452732532601
9124503301688
1040121316737
111601948a107
12793866a715
133a2524a908
141d2874b185
15109c49c842
hex9576ab581

40121316737 has 2 divisors, whose sum is σ = 40121316738. Its totient is φ = 40121316736.

The previous prime is 40121316733. The next prime is 40121316773. The reversal of 40121316737 is 73761312104.

40121316737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (40121316773) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25243172161 + 14878144576 = 158881^2 + 121976^2 .

It is a cyclic number.

It is not a de Polignac number, because 40121316737 - 22 = 40121316733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40121316697 and 40121316706.

It is not a weakly prime, because it can be changed into another prime (40121316733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20060658368 + 20060658369.

It is an arithmetic number, because the mean of its divisors is an integer number (20060658369).

Almost surely, 240121316737 is an apocalyptic number.

It is an amenable number.

40121316737 is a deficient number, since it is larger than the sum of its proper divisors (1).

40121316737 is an equidigital number, since it uses as much as digits as its factorization.

40121316737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 40121316737 in words is "forty billion, one hundred twenty-one million, three hundred sixteen thousand, seven hundred thirty-seven".