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40126074161 is a prime number
BaseRepresentation
bin100101010111101100…
…110100110100110001
310211120110021202201212
4211113230310310301
51124134233333121
630233401005505
72620235000645
oct452754646461
9124513252655
1040126074161
1116021139468
12793a183895
133a26225164
141d29228c25
15109cadc25b
hex957b34d31

40126074161 has 2 divisors, whose sum is σ = 40126074162. Its totient is φ = 40126074160.

The previous prime is 40126074127. The next prime is 40126074193. The reversal of 40126074161 is 16147062104.

It is an a-pointer prime, because the next prime (40126074193) can be obtained adding 40126074161 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40017601936 + 108472225 = 200044^2 + 10415^2 .

It is a cyclic number.

It is not a de Polignac number, because 40126074161 - 210 = 40126073137 is a prime.

It is a super-2 number, since 2×401260741612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40126074101) 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, 20063037080 + 20063037081.

It is an arithmetic number, because the mean of its divisors is an integer number (20063037081).

Almost surely, 240126074161 is an apocalyptic number.

It is an amenable number.

40126074161 is a deficient number, since it is larger than the sum of its proper divisors (1).

40126074161 is an equidigital number, since it uses as much as digits as its factorization.

40126074161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 40126074161 in words is "forty billion, one hundred twenty-six million, seventy-four thousand, one hundred sixty-one".