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40132174413817 is a prime number
BaseRepresentation
bin10010001111111111111111…
…11111111111111111111001
312021002121011020101220221101
421013333333333333333321
520230011143122220232
6221204244424411401
711311311460033663
oct1107777777777771
9167077136356841
1040132174413817
1111872a61238512
124601a74016b61
1319515a8ab2995
149ca59c681533
15498de38e61e7
hex247ffffffff9

40132174413817 has 2 divisors, whose sum is σ = 40132174413818. Its totient is φ = 40132174413816.

The previous prime is 40132174413707. The next prime is 40132174413839. The reversal of 40132174413817 is 71831447123104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33547310336016 + 6584864077801 = 5792004^2 + 2566099^2 .

It is a cyclic number.

It is not a de Polignac number, because 40132174413817 - 227 = 40132040196089 is a prime.

It is a super-2 number, since 2×401321744138172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40132174413017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20066087206908 + 20066087206909.

It is an arithmetic number, because the mean of its divisors is an integer number (20066087206909).

Almost surely, 240132174413817 is an apocalyptic number.

It is an amenable number.

40132174413817 is a deficient number, since it is larger than the sum of its proper divisors (1).

40132174413817 is an equidigital number, since it uses as much as digits as its factorization.

40132174413817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 40132174413817 in words is "forty trillion, one hundred thirty-two billion, one hundred seventy-four million, four hundred thirteen thousand, eight hundred seventeen".