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40817342410417 is a prime number
BaseRepresentation
bin10010100011111100001110…
…01100011110111010110001
312100112002200202212111000001
421101332013030132322301
520322222404124113132
6222451121144430001
711411645536644046
oct1121760714367261
9170462622774001
1040817342410417
11120075a0759461
1246b2811478301
1319a109c464041
14a117d9bb31cd
154abb457c0ce7
hex251f8731eeb1

40817342410417 has 2 divisors, whose sum is σ = 40817342410418. Its totient is φ = 40817342410416.

The previous prime is 40817342410343. The next prime is 40817342410499. The reversal of 40817342410417 is 71401424371804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36656195278096 + 4161147132321 = 6054436^2 + 2039889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40817342410417 is a prime.

It is a super-2 number, since 2×408173424104172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40817342440417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20408671205208 + 20408671205209.

It is an arithmetic number, because the mean of its divisors is an integer number (20408671205209).

Almost surely, 240817342410417 is an apocalyptic number.

It is an amenable number.

40817342410417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40817342410417 is an equidigital number, since it uses as much as digits as its factorization.

40817342410417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 40817342410417 in words is "forty trillion, eight hundred seventeen billion, three hundred forty-two million, four hundred ten thousand, four hundred seventeen".