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12353410144 = 254320534373
BaseRepresentation
bin10111000000101001…
…00001010001100000
31011212221010020221001
423200110201101200
5200244433111034
65401452241344
7615062153005
oct134024412140
934787106831
1012353410144
11526a1a5979
122489170254
13121b442c5a
148529358ac
154c47cea14
hex2e0521460

12353410144 has 48 divisors (see below), whose sum is σ = 24904191312. Its totient is φ = 6028743168.

The previous prime is 12353410141. The next prime is 12353410189. The reversal of 12353410144 is 44101435321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353410141) 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 7 ways as a sum of consecutive naturals, for example, 2822742 + ... + 2827114.

It is an arithmetic number, because the mean of its divisors is an integer number (518837319).

Almost surely, 212353410144 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 12353410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452095656).

12353410144 is an abundant number, since it is smaller than the sum of its proper divisors (12550781168).

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

12353410144 is a wasteful number, since it uses less digits than its factorization.

12353410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6471 counting only the distinct ones).

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

Adding to 12353410144 its reverse (44101435321), we get a palindrome (56454845465).

The spelling of 12353410144 in words is "twelve billion, three hundred fifty-three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 2053 4106 4373 8212 8746 16424 17492 32848 34984 65696 69968 88279 139936 176558 188039 353116 376078 706232 752156 1412464 1504312 2824928 3008624 6017248 8977769 17955538 35911076 71822152 143644304 287288608 386044067 772088134 1544176268 3088352536 6176705072 12353410144