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40144224137 is a prime number
BaseRepresentation
bin100101011000110010…
…000011111110001001
310211121201102212211012
4211120302003332021
51124203410133022
630235250013305
72620545163223
oct453062037611
9124551385735
1040144224137
1116030405846
127944277235
133a29c0b4a4
141d2b7d1413
15109e4c4de2
hex958c83f89

40144224137 has 2 divisors, whose sum is σ = 40144224138. Its totient is φ = 40144224136.

The previous prime is 40144224089. The next prime is 40144224149. The reversal of 40144224137 is 73142244104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24555203401 + 15589020736 = 156701^2 + 124856^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144224137 - 216 = 40144158601 is a prime.

It is a super-2 number, since 2×401442241372 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40144224437) 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 as a sum of consecutive naturals, namely, 20072112068 + 20072112069.

It is an arithmetic number, because the mean of its divisors is an integer number (20072112069).

Almost surely, 240144224137 is an apocalyptic number.

It is an amenable number.

40144224137 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144224137 is an equidigital number, since it uses as much as digits as its factorization.

40144224137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 40144224137 in words is "forty billion, one hundred forty-four million, two hundred twenty-four thousand, one hundred thirty-seven".