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13144622500 = 225422932
BaseRepresentation
bin11000011110111101…
…10000010110100100
31020221001221000020101
430033132300112210
5203410010410000
610012154513444
7643510306402
oct141736602644
936831830211
1013144622500
115635884489
12266a135884
13131633a049
148c9a54472
1551debce6a
hex30f7b05a4

13144622500 has 45 divisors (see below), whose sum is σ = 28757201781. Its totient is φ = 5255556000.

The previous prime is 13144622489. The next prime is 13144622531. The reversal of 13144622500 is 522644131.

The square root of 13144622500 is 114650.

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

13144622500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 12105720676 + 1038901824 = 110026^2 + 32232^2 .

It is a super-2 number, since 2×131446225002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 5731354 + ... + 5733646.

Almost surely, 213144622500 is an apocalyptic number.

13144622500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144622500 is the 114650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144622500

13144622500 is an abundant number, since it is smaller than the sum of its proper divisors (15612579281).

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

13144622500 is an frugal number, since it uses more digits than its factorization.

13144622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13144622500 in words is "thirteen billion, one hundred forty-four million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2293 2500 4586 9172 11465 22930 45860 57325 114650 229300 286625 573250 1146500 1433125 2866250 5257849 5732500 10515698 21031396 26289245 52578490 105156980 131446225 262892450 525784900 657231125 1314462250 2628924500 3286155625 6572311250 13144622500