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14004440424 = 23321327115519
BaseRepresentation
bin11010000101011101…
…01100110101101000
31100010222211021200200
431002232230311220
5212140114043144
610233351432200
71004020531242
oct150256546550
940128737620
1014004440424
115a37161407
12286a085660
131422505050
1496bd11092
1556e70dc69
hex342bacd68

14004440424 has 96 divisors (see below), whose sum is σ = 40868755200. Its totient is φ = 4306688640.

The previous prime is 14004440389. The next prime is 14004440453. The reversal of 14004440424 is 42404440041.

14004440424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140044404242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 2534737 + ... + 2540255.

It is an arithmetic number, because the mean of its divisors is an integer number (425716200).

Almost surely, 214004440424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434377600).

14004440424 is an abundant number, since it is smaller than the sum of its proper divisors (26864314776).

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

14004440424 is a wasteful number, since it uses less digits than its factorization.

14004440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 14004440424 its reverse (42404440041), we get a palindrome (56408880465).

The spelling of 14004440424 in words is "fourteen billion, four million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2711 5422 5519 8133 10844 11038 16266 16557 21688 22076 24399 32532 33114 35243 44152 48798 49671 65064 66228 70486 71747 97596 99342 105729 132456 140972 143494 195192 198684 211458 215241 281944 286988 317187 397368 422916 430482 573976 634374 645723 845832 860964 1268748 1291446 1721928 2537496 2582892 5165784 14962009 29924018 44886027 59848036 89772054 119696072 134658081 179544108 194506117 269316162 359088216 389012234 538632324 583518351 778024468 1077264648 1167036702 1556048936 1750555053 2334073404 3501110106 4668146808 7002220212 14004440424