Search a number
-
+
4114310114333 = 97229718465637
BaseRepresentation
bin111011110111101111111…
…111100010110000011101
3112120022202100100011122102
4323313233333202300131
51014402101342124313
612430031000254445
7603151303643426
oct73675777426035
915508670304572
104114310114333
111346961888441
1256546a171425
1323ac93246743
141031c2b2064d
1572051683a58
hex3bdeffe2c1d

4114310114333 has 8 divisors (see below), whose sum is σ = 4158535540152. Its totient is φ = 4070121624576.

The previous prime is 4114310114303. The next prime is 4114310114353. The reversal of 4114310114333 is 3334110134114.

4114310114333 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1094906918884 + 3019403195449 = 1046378^2 + 1737643^2 .

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 4114310114333 - 238 = 3839432207389 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4114310114296 and 4114310114305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114310114303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9010010 + ... + 9455627.

It is an arithmetic number, because the mean of its divisors is an integer number (519816942519).

Almost surely, 24114310114333 is an apocalyptic number.

It is an amenable number.

4114310114333 is a deficient number, since it is larger than the sum of its proper divisors (44225425819).

4114310114333 is a wasteful number, since it uses less digits than its factorization.

4114310114333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468031.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 4114310114333 its reverse (3334110134114), we get a palindrome (7448420248447).

The spelling of 4114310114333 in words is "four trillion, one hundred fourteen billion, three hundred ten million, one hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 97 2297 222809 18465637 1791166789 42415568189 4114310114333