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40126074193 is a prime number
BaseRepresentation
bin100101010111101100…
…110100110101010001
310211120110021202210001
4211113230310311101
51124134233333233
630233401010001
72620235001022
oct452754646521
9124513252701
1040126074193
1116021139497
12793a183901
133a2622518a
141d29228c49
15109cadc27d
hex957b34d51

40126074193 has 2 divisors, whose sum is σ = 40126074194. Its totient is φ = 40126074192.

The previous prime is 40126074161. The next prime is 40126074337. The reversal of 40126074193 is 39147062104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38138965264 + 1987108929 = 195292^2 + 44577^2 .

It is a cyclic number.

It is not a de Polignac number, because 40126074193 - 25 = 40126074161 is a prime.

It is a super-2 number, since 2×401260741932 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40126074493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20063037096 + 20063037097.

It is an arithmetic number, because the mean of its divisors is an integer number (20063037097).

Almost surely, 240126074193 is an apocalyptic number.

It is an amenable number.

40126074193 is a deficient number, since it is larger than the sum of its proper divisors (1).

40126074193 is an equidigital number, since it uses as much as digits as its factorization.

40126074193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 40126074193 in words is "forty billion, one hundred twenty-six million, seventy-four thousand, one hundred ninety-three".