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440022141 = 32138942257
BaseRepresentation
bin11010001110100…
…011010001111101
31010122222102220100
4122032203101331
51400121202031
6111355111313
713622061246
oct3216432175
91118872810
10440022141
11206421169
12103442539
1370215240
1442621ccd
152896bde6
hex1a3a347d

440022141 has 24 divisors (see below), whose sum is σ = 692186040. Its totient is φ = 267734016.

The previous prime is 440022119. The next prime is 440022151. The reversal of 440022141 is 141220044.

440022141 is a `hidden beast` number, since 4 + 400 + 221 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 439112025 = 954^2 + 20955^2 .

It is not a de Polignac number, because 440022141 - 25 = 440022109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440022151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10716 + ... + 31541.

It is an arithmetic number, because the mean of its divisors is an integer number (28841085).

Almost surely, 2440022141 is an apocalyptic number.

It is an amenable number.

440022141 is a deficient number, since it is larger than the sum of its proper divisors (252163899).

440022141 is a wasteful number, since it uses less digits than its factorization.

440022141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42365 (or 42362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440022141 is about 20976.7047221436. The cubic root of 440022141 is about 760.6032496914.

Adding to 440022141 its reverse (141220044), we get a palindrome (581242185).

The spelling of 440022141 in words is "four hundred forty million, twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3471 10413 42257 126771 380313 549341 1648023 3760873 4944069 11282619 33847857 48891349 146674047 440022141