Search a number
-
+
40166874061337 is a prime number
BaseRepresentation
bin10010010001000000101000…
…10000101001101000011001
312021012220201111220122201202
421020200110100221220121
520231043224224430322
6221232223542323545
711313650404132052
oct1110402420515031
9167186644818652
1040166874061337
1111886748294261
124608738a295b5
131954948a142aa
149cc130d25729
15499c74de8292
hex248814429a19

40166874061337 has 2 divisors, whose sum is σ = 40166874061338. Its totient is φ = 40166874061336.

The previous prime is 40166874061333. The next prime is 40166874061361. The reversal of 40166874061337 is 73316047866104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31222491868681 + 8944382192656 = 5587709^2 + 2990716^2 .

It is a cyclic number.

It is not a de Polignac number, because 40166874061337 - 22 = 40166874061333 is a prime.

It is a super-2 number, since 2×401668740613372 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40166874061333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20083437030668 + 20083437030669.

It is an arithmetic number, because the mean of its divisors is an integer number (20083437030669).

Almost surely, 240166874061337 is an apocalyptic number.

It is an amenable number.

40166874061337 is a deficient number, since it is larger than the sum of its proper divisors (1).

40166874061337 is an equidigital number, since it uses as much as digits as its factorization.

40166874061337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 40166874061337 in words is "forty trillion, one hundred sixty-six billion, eight hundred seventy-four million, sixty-one thousand, three hundred thirty-seven".