Search a number
-
+
12144046340 = 2251117543601
BaseRepresentation
bin10110100111101011…
…10111000100000100
31011100100011110210002
423103311313010010
5144332333440330
65325013020432
7606640455626
oct132365670404
934310143702
1012144046340
115171aa7838
12242b024718
1311b6c5a84a
14832bd6c16
154b1225e45
hex2d3d77104

12144046340 has 24 divisors (see below), whose sum is σ = 25525375512. Its totient is φ = 4853260800.

The previous prime is 12144046331. The next prime is 12144046349. The reversal of 12144046340 is 4364044121.

12144046340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12144046331) and next prime (12144046349).

It can be written as a sum of positive squares in 4 ways, for example, as 250398976 + 11893647364 = 15824^2 + 109058^2 .

It is not an unprimeable number, because it can be changed into a prime (12144046349) 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 7 ways as a sum of consecutive naturals, for example, 249461 + ... + 294140.

It is an arithmetic number, because the mean of its divisors is an integer number (1063557313).

Almost surely, 212144046340 is an apocalyptic number.

12144046340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144046340 is an abundant number, since it is smaller than the sum of its proper divisors (13381329172).

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

12144046340 is a wasteful number, since it uses less digits than its factorization.

12144046340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544727 (or 544725 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 12144046340 in words is "twelve billion, one hundred forty-four million, forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1117 2234 4468 5585 11170 22340 543601 1087202 2174404 2718005 5436010 10872020 607202317 1214404634 2428809268 3036011585 6072023170 12144046340