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14424257716 = 221117315931049
BaseRepresentation
bin11010110111100000…
…01011010010110100
31101020020210012202021
431123300023102310
5214020102221331
610343145522524
71020306111331
oct153360132264
941206705667
1014424257716
116132132350
1229667a3444
13148b49484b
149ab993988
155964d9211
hex35bc0b4b4

14424257716 has 96 divisors (see below), whose sum is σ = 30177100800. Its totient is φ = 5955993600.

The previous prime is 14424257707. The next prime is 14424257717. The reversal of 14424257716 is 61775242441.

14424257716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424257717) 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 31 ways as a sum of consecutive naturals, for example, 13749960 + ... + 13751008.

It is an arithmetic number, because the mean of its divisors is an integer number (314344800).

Almost surely, 214424257716 is an apocalyptic number.

It is an amenable number.

14424257716 is an abundant number, since it is smaller than the sum of its proper divisors (15752843084).

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

14424257716 is a wasteful number, since it uses less digits than its factorization.

14424257716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The spelling of 14424257716 in words is "fourteen billion, four hundred twenty-four million, two hundred fifty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 593 682 748 1049 1054 1186 1364 2098 2108 2372 4196 5797 6523 10081 11539 11594 13046 17833 18383 20162 23078 23188 26092 32519 35666 36766 40324 46156 65038 71332 73532 110891 130076 196163 202213 221782 312511 357709 392326 404426 443564 552823 622057 625022 715418 784652 808852 1105646 1244114 1250044 1430836 2211292 2488228 3437621 6081053 6842627 6875242 10574969 12162106 13685254 13750484 19283767 21149938 24324212 27370508 38567534 42299876 77135068 116324659 212121437 232649318 327824039 424242874 465298636 655648078 848485748 1311296156 3606064429 7212128858 14424257716