Search a number
-
+
2144544012 = 2235132347157
BaseRepresentation
bin111111111010011…
…0010010100001100
312112110100010100000
41333310302110030
513343000402022
6552445004300
7104100215622
oct17764622414
95473303300
102144544012
11a005a2726
124ba253690
132823b5a70
14164b63512
15c84156ac
hex7fd3250c

2144544012 has 288 divisors, whose sum is σ = 6492874752. Its totient is φ = 613806336.

The previous prime is 2144544001. The next prime is 2144544019. The reversal of 2144544012 is 2104454412.

2144544012 is a `hidden beast` number, since 214 + 4 + 5 + 440 + 1 + 2 = 666.

It is a super-2 number, since 2×21445440122 = 9198138038810112288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2144544019) 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 95 ways as a sum of consecutive naturals, for example, 13659438 + ... + 13659594.

It is an arithmetic number, because the mean of its divisors is an integer number (22544704).

Almost surely, 22144544012 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 2144544012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246437376).

2144544012 is an abundant number, since it is smaller than the sum of its proper divisors (4348330740).

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

2144544012 is a wasteful number, since it uses less digits than its factorization.

2144544012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2144544012 is about 46309.2216734421. The cubic root of 2144544012 is about 1289.5701975389.

Adding to 2144544012 its reverse (2104454412), we get a palindrome (4248998424).

The spelling of 2144544012 in words is "two billion, one hundred forty-four million, five hundred forty-four thousand, twelve".