Search a number
-
+
14000240212 = 22721931173701
BaseRepresentation
bin11010000100111101…
…01011011001010100
31100010200220220002021
431002132223121110
5212133030141322
610233121422524
71003640035600
oct150236533124
940120826067
1014000240212
115a34852762
12286879aa44
13142169430a
1496b53a500
1556e17e4c7
hex3427ab654

14000240212 has 144 divisors (see below), whose sum is σ = 31191713280. Its totient is φ = 5461344000.

The previous prime is 14000240201. The next prime is 14000240237. The reversal of 14000240212 is 21204200041.

14000240212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19971462 + ... + 19972162.

It is an arithmetic number, because the mean of its divisors is an integer number (216609120).

Almost surely, 214000240212 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 14000240212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595856640).

14000240212 is an abundant number, since it is smaller than the sum of its proper divisors (17191473068).

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

14000240212 is a wasteful number, since it uses less digits than its factorization.

14000240212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14000240212 its reverse (21204200041), we get a palindrome (35204440253).

The spelling of 14000240212 in words is "fourteen billion, two hundred forty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 173 196 217 266 346 434 532 589 692 701 868 931 1178 1211 1402 1519 1862 2356 2422 2804 3038 3287 3724 4123 4844 4907 5363 6076 6574 8246 8477 9814 10726 13148 13319 16492 16954 19628 21452 21731 23009 26638 28861 33908 34349 37541 43462 46018 53276 57722 68698 75082 86924 92036 93233 101897 115444 121273 137396 150164 152117 161063 186466 203794 242546 262787 304234 322126 372932 407588 412889 485092 525574 608468 644252 652631 713279 825778 848911 1051148 1064819 1305262 1426558 1651556 1697822 2129638 2304187 2610524 2853116 2890223 3395644 3759463 4259276 4608374 4992953 5780446 5942377 7518926 9216748 9985906 11560892 11884754 15037852 16129309 19971812 20231561 23769508 26316241 32258618 40463122 52632482 64517236 71429797 80926244 105264964 112905163 142859594 184213687 225810326 285719188 368427374 451620652 500008579 736854748 1000017158 2000034316 3500060053 7000120106 14000240212