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40816328799 = 31311815471049
BaseRepresentation
bin100110000000110101…
…111100000001011111
310220100120010100002110
4212000311330001133
51132042440010144
630430055325103
72643316033101
oct460065740137
9126316110073
1040816328799
1116345831a44
127ab1380793
133b0623185c
141d92b87571
1510dd4d70b9
hex980d7c05f

40816328799 has 32 divisors (see below), whose sum is σ = 55293638400. Its totient is φ = 26779334400.

The previous prime is 40816328771. The next prime is 40816328809. The reversal of 40816328799 is 99782361804.

It is a de Polignac number, because none of the positive numbers 2k-40816328799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40816338799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38909227 + ... + 38910275.

It is an arithmetic number, because the mean of its divisors is an integer number (1727926200).

Almost surely, 240816328799 is an apocalyptic number.

40816328799 is a deficient number, since it is larger than the sum of its proper divisors (14477309601).

40816328799 is a wasteful number, since it uses less digits than its factorization.

40816328799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911.

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 40816328799 in words is "forty billion, eight hundred sixteen million, three hundred twenty-eight thousand, seven hundred ninety-nine".

Divisors: 1 3 131 181 393 543 547 1049 1641 3147 23711 71133 71657 99007 137419 189869 214971 297021 412257 569607 573803 1721409 12969917 24872839 38909751 74618517 75168193 103858343 225504579 311575029 13605442933 40816328799