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14120513345313 = 326183973194687
BaseRepresentation
bin1100110101111011000000…
…1011101001011100100001
31211222220111212001012122100
43031132300023221130201
53322322302404022223
650010512502201013
72655113325031404
oct315366013513441
954886455035570
1014120513345313
114554526731731
121700797423169
137b57355b682b
1436b617a41d3b
15197490ea6043
hexcd7b02e9721

14120513345313 has 48 divisors (see below), whose sum is σ = 21196729322496. Its totient is φ = 9053484549120.

The previous prime is 14120513345311. The next prime is 14120513345317. The reversal of 14120513345313 is 31354331502141.

14120513345313 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 5 + 1 + 334 + 5 + 313 = 666.

14120513345313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14120513345313 - 21 = 14120513345311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14120513345311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822656 + ... + 6017342.

It is an arithmetic number, because the mean of its divisors is an integer number (441598527552).

Almost surely, 214120513345313 is an apocalyptic number.

It is an amenable number.

14120513345313 is a deficient number, since it is larger than the sum of its proper divisors (7076215977183).

14120513345313 is a wasteful number, since it uses less digits than its factorization.

14120513345313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194934 (or 3194931 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 14120513345313 its reverse (31354331502141), we get a palindrome (45474844847454).

The spelling of 14120513345313 in words is "fourteen trillion, one hundred twenty billion, five hundred thirteen million, three hundred forty-five thousand, three hundred thirteen".

Divisors: 1 3 9 61 83 97 183 249 291 549 747 873 5063 5917 8051 15189 17751 24153 45567 53253 72459 491111 1473333 3194687 4419999 9584061 28752183 194875907 265159021 309884639 584627721 795477063 929653917 1753883163 2386431189 2788961751 16174700281 18902962979 25720425037 48524100843 56708888937 77161275111 145572302529 170126666811 231483825333 1568945927257 4706837781771 14120513345313