Search a number
-
+
40852405273 is a prime number
BaseRepresentation
bin100110000010111111…
…100011110000011001
310220110002000012201011
4212002333203300121
51132131203432043
630433424453521
72644234500241
oct460277436031
9126402005634
1040852405273
1116364132809
127b0147a2a1
133b10853594
141d97898b21
1510e176159d
hex982fe3c19

40852405273 has 2 divisors, whose sum is σ = 40852405274. Its totient is φ = 40852405272.

The previous prime is 40852405193. The next prime is 40852405309. The reversal of 40852405273 is 37250425804.

40852405273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35159250064 + 5693155209 = 187508^2 + 75453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40852405273 is a prime.

It is a super-4 number, since 4×408524052734 (a number of 44 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (40852445273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20426202636 + 20426202637.

It is an arithmetic number, because the mean of its divisors is an integer number (20426202637).

Almost surely, 240852405273 is an apocalyptic number.

It is an amenable number.

40852405273 is a deficient number, since it is larger than the sum of its proper divisors (1).

40852405273 is an equidigital number, since it uses as much as digits as its factorization.

40852405273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 40852405273 in words is "forty billion, eight hundred fifty-two million, four hundred five thousand, two hundred seventy-three".