Search a number
-
+
2334544000001 = 41159735654413
BaseRepresentation
bin100001111110001101101…
…010100111010000000001
322021011212101101220020122
4201332031222213100001
5301222121231000001
64544250311550025
7330444114404603
oct41761552472001
98234771356218
102334544000001
11820090254614
1231854a08b315
1313c1b9c98c65
1480dc771b173
1540ad8195b1b
hex21f8daa7401

2334544000001 has 8 divisors (see below), whose sum is σ = 2392981650024. Its totient is φ = 2276177662080.

The previous prime is 2334543999937. The next prime is 2334544000003. The reversal of 2334544000001 is 1000004454332.

It can be written as a sum of positive squares in 4 ways, for example, as 257921779600 + 2076622220401 = 507860^2 + 1441049^2 .

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 2334544000001 - 26 = 2334543999937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2334544000003) 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 7 ways as a sum of consecutive naturals, for example, 17761730 + ... + 17892683.

It is an arithmetic number, because the mean of its divisors is an integer number (299122706253).

Almost surely, 22334544000001 is an apocalyptic number.

It is an amenable number.

2334544000001 is a deficient number, since it is larger than the sum of its proper divisors (58437650023).

2334544000001 is a wasteful number, since it uses less digits than its factorization.

2334544000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35656051.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2334544000001 its reverse (1000004454332), we get a palindrome (3334548454333).

The spelling of 2334544000001 in words is "two trillion, three hundred thirty-four billion, five hundred forty-four million, one", and thus it is an aban number.

Divisors: 1 41 1597 65477 35654413 1461830933 56940097561 2334544000001