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2401144213 = 13414504961
BaseRepresentation
bin1000111100011110…
…1000110110010101
320012100011202122011
42033013220312111
514404143103323
61034132504221
7113334250306
oct21707506625
96170152564
102401144213
111022424206
1257017b071
132c35c96c0
1418ac7a7ad
15e0c0020d
hex8f1e8d95

2401144213 has 8 divisors (see below), whose sum is σ = 2648917656. Its totient is φ = 2162380800.

The previous prime is 2401144211. The next prime is 2401144217. The reversal of 2401144213 is 3124411042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60326289 + 2340817924 = 7767^2 + 48382^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2401144213 - 21 = 2401144211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401144211) 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 7 ways as a sum of consecutive naturals, for example, 2251948 + ... + 2253013.

It is an arithmetic number, because the mean of its divisors is an integer number (331114707).

Almost surely, 22401144213 is an apocalyptic number.

It is an amenable number.

2401144213 is a deficient number, since it is larger than the sum of its proper divisors (247773443).

2401144213 is a wasteful number, since it uses less digits than its factorization.

2401144213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505015.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2401144213 is about 49001.4715391283. The cubic root of 2401144213 is about 1339.0786368835.

Adding to 2401144213 its reverse (3124411042), we get a palindrome (5525555255).

The spelling of 2401144213 in words is "two billion, four hundred one million, one hundred forty-four thousand, two hundred thirteen".

Divisors: 1 13 41 533 4504961 58564493 184703401 2401144213