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40144224149 is a prime number
BaseRepresentation
bin100101011000110010…
…000011111110010101
310211121201102212211122
4211120302003332111
51124203410133044
630235250013325
72620545163241
oct453062037625
9124551385748
1040144224149
1116030405857
127944277245
133a29c0b4b3
141d2b7d1421
15109e4c4dee
hex958c83f95

40144224149 has 2 divisors, whose sum is σ = 40144224150. Its totient is φ = 40144224148.

The previous prime is 40144224137. The next prime is 40144224193. The reversal of 40144224149 is 94142244104.

40144224149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25402621924 + 14741602225 = 159382^2 + 121415^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144224149 - 28 = 40144223893 is a prime.

It is a super-2 number, since 2×401442241492 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40144224649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20072112074 + 20072112075.

It is an arithmetic number, because the mean of its divisors is an integer number (20072112075).

Almost surely, 240144224149 is an apocalyptic number.

It is an amenable number.

40144224149 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144224149 is an equidigital number, since it uses as much as digits as its factorization.

40144224149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 40144224149 in words is "forty billion, one hundred forty-four million, two hundred twenty-four thousand, one hundred forty-nine".