Search a number
-
+
330301444324144 = 24195918415557779
BaseRepresentation
bin100101100011010000100110…
…0010000011111101100110000
31121022111111202120022122100011
41023012201030100133230300
5321243124324221333034
63130254215545304304
7126400330463512336
oct11306411420375460
91538444676278304
10330301444324144
119627606841a997
1231066771495094
131123c3a5970227
145b7c964a93b56
15282bd729e4864
hex12c684c41fb30

330301444324144 has 40 divisors (see below), whose sum is σ = 685058749416000. Its totient is φ = 153806738561856.

The previous prime is 330301444324139. The next prime is 330301444324147. The reversal of 330301444324144 is 441423444103033.

It is a junction number, because it is equal to n+sod(n) for n = 330301444324097 and 330301444324106.

It is not an unprimeable number, because it can be changed into a prime (330301444324147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9207760954 + ... + 9207796825.

It is an arithmetic number, because the mean of its divisors is an integer number (17126468735400).

Almost surely, 2330301444324144 is an apocalyptic number.

It is an amenable number.

330301444324144 is an abundant number, since it is smaller than the sum of its proper divisors (354757305091856).

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

330301444324144 is a wasteful number, since it uses less digits than its factorization.

330301444324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415557865 (or 18415557859 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 330301444324144 its reverse (441423444103033), we get a palindrome (771724888427177).

The spelling of 330301444324144 in words is "three hundred thirty trillion, three hundred one billion, four hundred forty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1121 2242 4484 8968 17936 18415557779 36831115558 73662231116 147324462232 294648924464 349895597801 699791195602 1086517908961 1399582391204 2173035817922 2799164782408 4346071635844 5598329564816 8692143271688 17384286543376 20643840270259 41287680540518 82575361081036 165150722162072 330301444324144