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2002441401 = 32397560437
BaseRepresentation
bin111011101011010…
…1101010010111001
312011112221120012100
41313112231102321
513100111111101
6530411134013
7100423320402
oct16726552271
95145846170
102002441401
11938364954
1247a744309
1325bb2068c
1414dd329a9
15babe5e86
hex775ad4b9

2002441401 has 12 divisors (see below), whose sum is σ = 2899706212. Its totient is φ = 1331595936.

The previous prime is 2002441393. The next prime is 2002441421. The reversal of 2002441401 is 1041442002.

2002441401 is a `hidden beast` number, since 20 + 0 + 244 + 1 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1278777600 + 723663801 = 35760^2 + 26901^2 .

It is not a de Polignac number, because 2002441401 - 23 = 2002441393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002441421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276646 + ... + 283791.

Almost surely, 22002441401 is an apocalyptic number.

It is an amenable number.

2002441401 is a deficient number, since it is larger than the sum of its proper divisors (897264811).

2002441401 is a wasteful number, since it uses less digits than its factorization.

2002441401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560840 (or 560837 counting only the distinct ones).

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

The square root of 2002441401 is about 44748.6469180913. The cubic root of 2002441401 is about 1260.4335035191.

Adding to 2002441401 its reverse (1041442002), we get a palindrome (3043883403).

It can be divided in two parts, 20024 and 41401, that added together give a triangular number (61425 = T350).

The spelling of 2002441401 in words is "two billion, two million, four hundred forty-one thousand, four hundred one".

Divisors: 1 3 9 397 1191 3573 560437 1681311 5043933 222493489 667480467 2002441401