Search a number
-
+
3431124230441 = 231091817561423
BaseRepresentation
bin110001111011011110111…
…100001110000100101001
3110011000022221120101001112
4301323132330032010221
5422203420300333231
611144123044000105
7502614312515525
oct61733674160451
913130287511045
103431124230441
11110314a1a7076
12474b84690035
131bb727418b3b
14bc0d294cd85
155e3b87d692b
hex31edef0e129

3431124230441 has 16 divisors (see below), whose sum is σ = 3633113003520. Its totient is φ = 3233868960960.

The previous prime is 3431124230393. The next prime is 3431124230453. The reversal of 3431124230441 is 1440324211343.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3431124230441 is a prime.

It is a super-3 number, since 3×34311242304413 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3431124230398 and 3431124230407.

It is not an unprimeable number, because it can be changed into a prime (3431124230341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3326945 + ... + 4234478.

It is an arithmetic number, because the mean of its divisors is an integer number (227069562720).

Almost surely, 23431124230441 is an apocalyptic number.

It is an amenable number.

3431124230441 is a deficient number, since it is larger than the sum of its proper divisors (201988773079).

3431124230441 is a wasteful number, since it uses less digits than its factorization.

3431124230441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561736.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3431124230441 its reverse (1440324211343), we get a palindrome (4871448441784).

The spelling of 3431124230441 in words is "three trillion, four hundred thirty-one billion, one hundred twenty-four million, two hundred thirty thousand, four hundred forty-one".

Divisors: 1 23 109 181 2507 4163 19729 453767 7561423 173912729 824195107 1368617563 18956487461 31478203949 149179314367 3431124230441