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14304145415 = 572894611423
BaseRepresentation
bin11010101001001011…
…11111000000000111
31100220212202212122112
431110211333000013
5213243330123130
610323215251235
71014320141600
oct152445770007
940825685575
1014304145415
11608035418a
122932519b1b
13146c62b791
14999a48da7
1558abb0495
hex35497f007

14304145415 has 48 divisors (see below), whose sum is σ = 20249792640. Its totient is φ = 9670510080.

The previous prime is 14304145411. The next prime is 14304145447. The reversal of 14304145415 is 51454140341.

14304145415 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 14304145415 - 22 = 14304145411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14304145411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10051394 + ... + 10052816.

It is an arithmetic number, because the mean of its divisors is an integer number (421870680).

Almost surely, 214304145415 is an apocalyptic number.

14304145415 is a deficient number, since it is larger than the sum of its proper divisors (5945647225).

14304145415 is a wasteful number, since it uses less digits than its factorization.

14304145415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 14304145415 its reverse (51454140341), we get a palindrome (65758285756).

The spelling of 14304145415 in words is "fourteen billion, three hundred four million, one hundred forty-five thousand, four hundred fifteen".

Divisors: 1 5 7 35 49 89 245 445 461 623 1423 2305 3115 3227 4361 7115 9961 16135 21805 22589 41029 49805 69727 112945 126647 205145 287203 348635 633235 656003 886529 1436015 2010421 3280015 4432645 4592021 6205703 10052105 22960105 31028515 32144147 58384267 160720735 291921335 408689869 2043449345 2860829083 14304145415