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440121257 is a prime number
BaseRepresentation
bin11010001110111…
…011011110101001
31010200011110212022
4122032323132221
51400132340012
6111401154225
713622653232
oct3216733651
91120143768
10440121257
11206489684
1210348b975
137024b3a4
144264a089
152898b472
hex1a3bb7a9

440121257 has 2 divisors, whose sum is σ = 440121258. Its totient is φ = 440121256.

The previous prime is 440121233. The next prime is 440121259. The reversal of 440121257 is 752121044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388050601 + 52070656 = 19699^2 + 7216^2 .

It is a cyclic number.

It is not a de Polignac number, because 440121257 - 218 = 439859113 is a prime.

It is a super-3 number, since 3×4401212573 (a number of 27 digits) contains 333 as substring.

Together with 440121259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (440121259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220060628 + 220060629.

It is an arithmetic number, because the mean of its divisors is an integer number (220060629).

Almost surely, 2440121257 is an apocalyptic number.

It is an amenable number.

440121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

440121257 is an equidigital number, since it uses as much as digits as its factorization.

440121257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 440121257 is about 20979.0671146264. The cubic root of 440121257 is about 760.6603546148.

The spelling of 440121257 in words is "four hundred forty million, one hundred twenty-one thousand, two hundred fifty-seven".