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40205264353 is a prime number
BaseRepresentation
bin100101011100011010…
…111010010111100001
310211202222022001020221
4211130122322113201
51124320021424403
630245310203041
72622216052102
oct453432722741
9124688261227
1040205264353
1116061907201
1279607b3481
133a39760a67
141d359603a9
1510a4a30dbd
hex95c6ba5e1

40205264353 has 2 divisors, whose sum is σ = 40205264354. Its totient is φ = 40205264352.

The previous prime is 40205264303. The next prime is 40205264389. The reversal of 40205264353 is 35346250204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22514402304 + 17690862049 = 150048^2 + 133007^2 .

It is a cyclic number.

It is not a de Polignac number, because 40205264353 - 229 = 39668393441 is a prime.

It is a super-2 number, since 2×402052643532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40205264303) 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, 20102632176 + 20102632177.

It is an arithmetic number, because the mean of its divisors is an integer number (20102632177).

Almost surely, 240205264353 is an apocalyptic number.

It is an amenable number.

40205264353 is a deficient number, since it is larger than the sum of its proper divisors (1).

40205264353 is an equidigital number, since it uses as much as digits as its factorization.

40205264353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 40205264353 in words is "forty billion, two hundred five million, two hundred sixty-four thousand, three hundred fifty-three".