Search a number
-
+
4334144000303 = 1321811361104107
BaseRepresentation
bin111111000100011111000…
…111010001000100101111
3120100100011221120122210002
4333010133013101010233
51032002311331002203
613115024523334515
7625063062102035
oct77043707210457
916310157518702
104334144000303
11142111132a737
1259bba008143b
132559286bbc00
1410dab9006555
1577b1aeaed88
hex3f11f1d112f

4334144000303 has 24 divisors (see below), whose sum is σ = 4722627467376. Its totient is φ = 3975683212800.

The previous prime is 4334144000287. The next prime is 4334144000323. The reversal of 4334144000303 is 3030004414334.

It is not a de Polignac number, because 4334144000303 - 24 = 4334144000287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334144000323) 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 23 ways as a sum of consecutive naturals, for example, 41579576 + ... + 41683682.

It is an arithmetic number, because the mean of its divisors is an integer number (196776144474).

Almost surely, 24334144000303 is an apocalyptic number.

4334144000303 is a deficient number, since it is larger than the sum of its proper divisors (388483467073).

4334144000303 is a wasteful number, since it uses less digits than its factorization.

4334144000303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105675 (or 105662 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 4334144000303 its reverse (3030004414334), we get a palindrome (7364148414637).

The spelling of 4334144000303 in words is "four trillion, three hundred thirty-four billion, one hundred forty-four million, three hundred three", and thus it is an aban number.

Divisors: 1 13 169 181 1361 2353 17693 30589 104107 230009 246341 1353391 3202433 17594083 18843367 41631629 141689627 244963771 1841965151 3184529023 23945546963 25645822487 333395692331 4334144000303