Search a number
-
+
4234140422244 = 2232117615011729
BaseRepresentation
bin111101100111010110011…
…011111001000001100100
3112222210001112012112100200
4331213112123321001210
51023333004422002434
613001045351510500
7614622642521625
oct75472633710144
915883045175320
104234140422244
111392763980367
12584731088430
1324937c228995
14108d0d6d3a4c
15752167ba199
hex3d9d66f9064

4234140422244 has 18 divisors (see below), whose sum is σ = 10702966067430. Its totient is φ = 1411380140736.

The previous prime is 4234140422207. The next prime is 4234140422261. The reversal of 4234140422244 is 4422240414324.

4234140422244 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 1 + 404 + 2 + 2 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4194344960100 + 39795462144 = 2048010^2 + 199488^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 117615011729 = 4234140422244 / (4 + 2 + 3 + 4 + 1 + 4 + 0 + 4 + 2 + 2 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 4234140422199 and 4234140422208.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 58807505829 + ... + 58807505900.

Almost surely, 24234140422244 is an apocalyptic number.

It is an amenable number.

4234140422244 is an abundant number, since it is smaller than the sum of its proper divisors (6468825645186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4234140422244 is a wasteful number, since it uses less digits than its factorization.

4234140422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117615011739 (or 117615011734 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4234140422244 its reverse (4422240414324), we get a palindrome (8656380836568).

The spelling of 4234140422244 in words is "four trillion, two hundred thirty-four billion, one hundred forty million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 117615011729 235230023458 352845035187 470460046916 705690070374 1058535105561 1411380140748 2117070211122 4234140422244