Search a number
-
+
3431121444241 = 31290338126537
BaseRepresentation
bin110001111011011110110…
…001100101110110010001
3110011000022202022211002221
4301323132301211312101
5422203414042203431
611144122504141041
7502614250032511
oct61733661456621
913130282284087
103431121444241
111103148673827
12474b83767781
131bb7269818ba
14bc0d2425841
155e3b8436111
hex31edec65d91

3431121444241 has 8 divisors (see below), whose sum is σ = 3543022923264. Its totient is φ = 3319296224160.

The previous prime is 3431121444239. The next prime is 3431121444253. The reversal of 3431121444241 is 1424441211343.

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 3431121444241 - 21 = 3431121444239 is a prime.

It is a super-3 number, since 3×34311214442413 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3431121444197 and 3431121444206.

It is not an unprimeable number, because it can be changed into a prime (3431121444341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18973276 + ... + 19153261.

It is an arithmetic number, because the mean of its divisors is an integer number (442877865408).

Almost surely, 23431121444241 is an apocalyptic number.

3431121444241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3431121444241 is a deficient number, since it is larger than the sum of its proper divisors (111901479023).

3431121444241 is a wasteful number, since it uses less digits than its factorization.

3431121444241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38129471.

The product of its digits is 36864, while the sum is 34.

Adding to 3431121444241 its reverse (1424441211343), we get a palindrome (4855562655584).

The spelling of 3431121444241 in words is "three trillion, four hundred thirty-one billion, one hundred twenty-one million, four hundred forty-four thousand, two hundred forty-one".

Divisors: 1 31 2903 89993 38126537 1181922647 110681336911 3431121444241