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14024230220224 = 26797322722529
BaseRepresentation
bin1100110000010100010101…
…0000101011000111000000
31211122200222201100200020101
43030011011100223013000
53314233110414021344
645454350432452144
72645134333002040
oct314050520530700
954580881320211
1014024230220224
114517708391784
1216a5ba63aa054
137a962cb58873
14366ac24b5720
15194c082179d4
hexcc14542b1c0

14024230220224 has 56 divisors (see below), whose sum is σ = 32132836867040. Its totient is φ = 5948421636096.

The previous prime is 14024230220219. The next prime is 14024230220233. The reversal of 14024230220224 is 42202203242041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×140242302202242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14024230220192 and 14024230220201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161317809 + ... + 161404720.

It is an arithmetic number, because the mean of its divisors is an integer number (573800658340).

Almost surely, 214024230220224 is an apocalyptic number.

14024230220224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14024230220224 is an abundant number, since it is smaller than the sum of its proper divisors (18108606646816).

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

14024230220224 is an equidigital number, since it uses as much as digits as its factorization.

14024230220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322722645 (or 322722635 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14024230220224 its reverse (42202203242041), we get a palindrome (56226433462265).

The spelling of 14024230220224 in words is "fourteen trillion, twenty-four billion, two hundred thirty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 5432 6208 10864 21728 43456 322722529 645445058 1290890116 2259057703 2581780232 4518115406 5163560464 9036230812 10327120928 18072461624 20654241856 31304085313 36144923248 62608170626 72289846496 125216341252 144579692992 219128597191 250432682504 438257194382 500865365008 876514388764 1001730730016 1753028777528 2003461460032 3506057555056 7012115110112 14024230220224