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13814241156 = 223219210312
BaseRepresentation
bin11001101110110010…
…01001011110000100
31022122201221011100100
430313121021132010
5211242421204111
610202435044100
7666221053362
oct146731113604
938581834310
1013814241156
115949862931
122816440630
1313c1c9c9c1
14950960632
1555cb8d756
hex337649784

13814241156 has 81 divisors (see below), whose sum is σ = 36889701303. Its totient is φ = 4358160720.

The previous prime is 13814241139. The next prime is 13814241247. The reversal of 13814241156 is 65114241831.

The square root of 13814241156 is 117534.

It is a perfect power (a square), and thus also a powerful number.

13814241156 is a `hidden beast` number, since 1 + 3 + 81 + 424 + 1 + 156 = 666.

13814241156 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 2×138142411562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13814241156.

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 26 ways as a sum of consecutive naturals, for example, 13398361 + ... + 13399391.

Almost surely, 213814241156 is an apocalyptic number.

13814241156 is the 117534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814241156

13814241156 is an abundant number, since it is smaller than the sum of its proper divisors (23075460147).

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

13814241156 is a wasteful number, since it uses less digits than its factorization.

13814241156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Multiplying 13814241156 by its sum of digits (36), we get a square (497312681616 = 7052042).

13814241156 divided by its sum of digits (36) gives a square (383728921 = 195892).

Adding to 13814241156 its reverse (65114241831), we get a palindrome (78928482987).

The spelling of 13814241156 in words is "thirteen billion, eight hundred fourteen million, two hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1031 1083 1444 2062 2166 3093 3249 4124 4332 6186 6498 9279 12372 12996 18558 19589 37116 39178 58767 78356 117534 176301 235068 352602 372191 705204 744382 1062961 1116573 1488764 2125922 2233146 3188883 3349719 4251844 4466292 6377766 6699438 9566649 12755532 13398876 19133298 20196259 38266596 40392518 60588777 80785036 121177554 181766331 242355108 363532662 383728921 727065324 767457842 1151186763 1534915684 2302373526 3453560289 4604747052 6907120578 13814241156