Search a number
-
+
4225023361133 = 17289337487429
BaseRepresentation
bin111101011110110111000…
…001000100000001101101
3112221220112010211211200122
4331132313001010001231
51023210321440024013
612552540545334325
7614151006006551
oct75366701040155
915856463754618
104225023361133
1113899055a5413
12582a079373a5
13248558440373
141086c6929861
1574d811b8a08
hex3d7b704406d

4225023361133 has 24 divisors (see below), whose sum is σ = 4552079524200. Its totient is φ = 3920137740288.

The previous prime is 4225023361123. The next prime is 4225023361147. The reversal of 4225023361133 is 3311633205224.

4225023361133 is digitally balanced in base 2, 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 12 ways, for example, as 572070724 + 4224451290409 = 23918^2 + 2055347^2 .

It is not a de Polignac number, because 4225023361133 - 210 = 4225023360109 is a prime.

It is a super-3 number, since 3×42250233611333 (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 = 4225023361093 and 4225023361102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225023361103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8424263 + ... + 8911691.

It is an arithmetic number, because the mean of its divisors is an integer number (189669980175).

Almost surely, 24225023361133 is an apocalyptic number.

It is an amenable number.

4225023361133 is a deficient number, since it is larger than the sum of its proper divisors (327056163067).

4225023361133 is a wasteful number, since it uses less digits than its factorization.

4225023361133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487889 (or 487872 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 4225023361133 its reverse (3311633205224), we get a palindrome (7536656566357).

The spelling of 4225023361133 in words is "four trillion, two hundred twenty-five billion, twenty-three million, three hundred sixty-one thousand, one hundred thirty-three".

Divisors: 1 17 89 289 337 1513 5729 25721 29993 97393 487429 509881 8286293 8667977 43381181 140866981 164263573 737480077 2792480741 12537161309 14619457997 47472172597 248530785949 4225023361133