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14024240202 = 23717232773083
BaseRepresentation
bin11010000111110100…
…01110110001001010
31100012101002012212210
431003322032301022
5212210201141302
610235340045550
71004351034450
oct150372166112
940171065783
1014024240202
115a47355265
1228748338b6
1314266482ab
149707c69d0
1557132066c
hex343e8ec4a

14024240202 has 128 divisors (see below), whose sum is σ = 35556102144. Its totient is φ = 3593069568.

The previous prime is 14024240171. The next prime is 14024240207. The reversal of 14024240202 is 20204242041.

14024240202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14024240207) 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 63 ways as a sum of consecutive naturals, for example, 4547353 + ... + 4550435.

It is an arithmetic number, because the mean of its divisors is an integer number (277782048).

Almost surely, 214024240202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024240202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778051072).

14024240202 is an abundant number, since it is smaller than the sum of its proper divisors (21531861942).

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

14024240202 is a wasteful number, since it uses less digits than its factorization.

14024240202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412.

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

Adding to 14024240202 its reverse (20204242041), we get a palindrome (34228482243).

The spelling of 14024240202 in words is "fourteen billion, twenty-four million, two hundred forty thousand, two hundred two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 277 322 357 391 483 554 714 782 831 966 1173 1662 1939 2346 2737 3083 3878 4709 5474 5817 6166 6371 8211 9249 9418 11634 12742 14127 16422 18498 19113 21581 28254 32963 38226 43162 44597 52411 64743 65926 70909 89194 98889 104822 108307 129486 133791 141818 157233 197778 212727 216614 267582 314466 324921 366877 425454 496363 649842 733754 758149 853991 992726 1100631 1205453 1489089 1516298 1707982 2201262 2274447 2410906 2561973 2978178 3616359 4548894 5123946 5977937 7232718 8438171 11955874 14517847 16876342 17933811 19641793 25314513 29035694 35867622 39283586 43553541 50629026 58925379 87107082 101624929 117850758 137492551 203249858 274985102 304874787 333910481 412477653 609749574 667820962 824955306 1001731443 2003462886 2337373367 4674746734 7012120101 14024240202