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14102224330313 = 722911317922741
BaseRepresentation
bin1100110100110110111000…
…0100100101111001001001
31211221011022021000222120102
43031031232010211321021
53322022323412032223
645554250013135145
72653565160001100
oct315155604457111
954834267028512
1014102224330313
1145477a0a98aa9
1216b913248a4b5
137b3aac533472
1436a7a0aa1037
15196c7055d928
hexcd36e125e49

14102224330313 has 72 divisors (see below), whose sum is σ = 17222945491080. Its totient is φ = 11498705218560.

The previous prime is 14102224330309. The next prime is 14102224330343. The reversal of 14102224330313 is 31303342220141.

14102224330313 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 4 ways, for example, as 9798426169 + 14092425904144 = 98987^2 + 3753988^2 .

It is not a de Polignac number, because 14102224330313 - 22 = 14102224330309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (14102224330343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5144918123 + ... + 5144920863.

It is an arithmetic number, because the mean of its divisors is an integer number (239207576265).

Almost surely, 214102224330313 is an apocalyptic number.

It is an amenable number.

14102224330313 is a deficient number, since it is larger than the sum of its proper divisors (3120721160767).

14102224330313 is a wasteful number, since it uses less digits than its factorization.

14102224330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 14102224330313 its reverse (31303342220141), we get a palindrome (45405566550454).

The spelling of 14102224330313 in words is "fourteen trillion, one hundred two billion, two hundred twenty-four million, three hundred thirty thousand, three hundred thirteen".

Divisors: 1 7 29 49 113 179 203 791 1253 1421 2741 3277 5191 5537 8771 19187 20227 22939 32041 36337 79489 134309 141589 160573 224287 254359 309733 490639 556423 586583 929189 991123 1570009 2168131 3434473 3620633 3894961 4106081 6504323 8982257 14228531 15176917 24041311 25344431 28742567 45530261 55442207 62875799 87824381 99599717 104998357 177411017 388095449 440130593 614770667 697198019 734988499 1607824003 2546907049 2716668143 4303394669 5144919493 9924155053 11254768021 17828349343 69469085371 78783376147 124798445401 287800496537 486283597597 2014603475759 14102224330313