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14423242032 = 24323119316741
BaseRepresentation
bin11010110111011000…
…10011010100110000
31101020011212121111100
431123230103110300
5214014322221112
610343112044400
71020264351213
oct153354232460
941204777440
1014423242032
1161315a9241
122966393700
13148b1ca454
149ab7ab77a
155963882dc
hex35bb13530

14423242032 has 120 divisors (see below), whose sum is σ = 41885537408. Its totient is φ = 4628275200.

The previous prime is 14423242021. The next prime is 14423242037. The reversal of 14423242032 is 23024232441.

14423242032 is a `hidden beast` number, since 1 + 4 + 4 + 232 + 420 + 3 + 2 = 666.

14423242032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14423241987 and 14423242005.

It is not an unprimeable number, because it can be changed into a prime (14423242037) 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 23 ways as a sum of consecutive naturals, for example, 853182 + ... + 869922.

Almost surely, 214423242032 is an apocalyptic number.

14423242032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14423242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20942768704).

14423242032 is an abundant number, since it is smaller than the sum of its proper divisors (27462295376).

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

14423242032 is a wasteful number, since it uses less digits than its factorization.

14423242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16979 (or 16970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14423242032 its reverse (23024232441), we get a palindrome (37447474473).

The spelling of 14423242032 in words is "fourteen billion, four hundred twenty-three million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 193 248 279 372 386 496 558 579 744 772 1116 1158 1488 1544 1737 2232 2316 3088 3474 4464 4632 5983 6948 9264 11966 13896 16741 17949 23932 27792 33482 35898 47864 50223 53847 66964 71796 95728 100446 107694 133928 143592 150669 200892 215388 267856 287184 301338 401784 430776 518971 602676 803568 861552 1037942 1205352 1556913 2075884 2410704 3113826 3231013 4151768 4670739 6227652 6462026 8303536 9341478 9693039 12455304 12924052 18682956 19386078 24910608 25848104 29079117 37365912 38772156 51696208 58158234 74731824 77544312 100161403 116316468 155088624 200322806 232632936 300484209 400645612 465265872 600968418 801291224 901452627 1201936836 1602582448 1802905254 2403873672 3605810508 4807747344 7211621016 14423242032