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40322106257 is a prime number
BaseRepresentation
bin100101100011011000…
…101000001110010001
310212002010011020012212
4211203120220032101
51130034424400012
630305042401505
72625135151046
oct454330501621
9125063136185
1040322106257
1116111861264
127993960295
133a57a20394
141d472971cd
1510aee10b22
hex963628391

40322106257 has 2 divisors, whose sum is σ = 40322106258. Its totient is φ = 40322106256.

The previous prime is 40322106179. The next prime is 40322106259. The reversal of 40322106257 is 75260122304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40230731776 + 91374481 = 200576^2 + 9559^2 .

It is a cyclic number.

It is not a de Polignac number, because 40322106257 - 28 = 40322106001 is a prime.

Together with 40322106259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40322106259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20161053128 + 20161053129.

It is an arithmetic number, because the mean of its divisors is an integer number (20161053129).

Almost surely, 240322106257 is an apocalyptic number.

It is an amenable number.

40322106257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40322106257 is an equidigital number, since it uses as much as digits as its factorization.

40322106257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 40322106257 in words is "forty billion, three hundred twenty-two million, one hundred six thousand, two hundred fifty-seven".