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2040401241 = 321921514159
BaseRepresentation
bin111100110011110…
…0000110101011001
312021012101010022100
41321213200311121
513134320314431
6534244514013
7101364060444
oct17147406531
95235333270
102040401241
1195783171a
1248b3ab909
13266951718
14154db465b
15be1e34e6
hex799e0d59

2040401241 has 36 divisors (see below), whose sum is σ = 3131880960. Its totient is φ = 1279832400.

The previous prime is 2040401191. The next prime is 2040401257. The reversal of 2040401241 is 1421040402.

2040401241 is a `hidden beast` number, since 20 + 4 + 0 + 401 + 241 = 666.

It is not a de Polignac number, because 2040401241 - 210 = 2040400217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2040401281) 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 35 ways as a sum of consecutive naturals, for example, 488520 + ... + 492678.

Almost surely, 22040401241 is an apocalyptic number.

It is an amenable number.

2040401241 is a deficient number, since it is larger than the sum of its proper divisors (1091479719).

2040401241 is a wasteful number, since it uses less digits than its factorization.

2040401241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4332 counting only the distinct ones).

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

The square root of 2040401241 is about 45170.8007566835. The cubic root of 2040401241 is about 1268.3482859485.

Adding to 2040401241 its reverse (1421040402), we get a palindrome (3461441643).

The spelling of 2040401241 in words is "two billion, forty million, four hundred one thousand, two hundred forty-one".

Divisors: 1 3 9 19 57 151 171 361 453 1083 1359 2869 3249 4159 8607 12477 25821 37431 54511 79021 163533 237063 490599 628009 711189 1501399 1884027 4504197 5652081 11932171 13512591 35796513 107389539 226711249 680133747 2040401241