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14042424 = 23311431237
BaseRepresentation
bin110101100100…
…010100111000
3222102102120210
4311210110320
512043324144
61220551120
7230234004
oct65442470
928372523
1014042424
117a21310
1248524a0
132ba8836
141c17704
151375ab9
hexd64538

14042424 has 64 divisors (see below), whose sum is σ = 39219840. Its totient is φ = 4152960.

The previous prime is 14042423. The next prime is 14042429. The reversal of 14042424 is 42424041.

It is a self number, because there is not a number n which added to its sum of digits gives 14042424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10734 + ... + 11970.

It is an arithmetic number, because the mean of its divisors is an integer number (612810).

Almost surely, 214042424 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 14042424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609920).

14042424 is an abundant number, since it is smaller than the sum of its proper divisors (25177416).

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

14042424 is a wasteful number, since it uses less digits than its factorization.

14042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 14042424 is about 3747.3222439497. The cubic root of 14042424 is about 241.2574282481.

Adding to 14042424 its reverse (42424041), we get a palindrome (56466465).

It can be divided in two parts, 1404 and 2424, that added together give a triangular number (3828 = T87).

The spelling of 14042424 in words is "fourteen million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1237 1419 1892 2474 2838 3711 3784 4948 5676 7422 9896 11352 13607 14844 27214 29688 40821 53191 54428 81642 106382 108856 159573 163284 212764 319146 326568 425528 585101 638292 1170202 1276584 1755303 2340404 3510606 4680808 7021212 14042424