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2144842262784 = 283213223472
BaseRepresentation
bin11111001101100010100…
…011111010100100000000
321121001012202010011111100
4133031202203322210000
5240120114104402114
64321154341214400
7310650122265414
oct37154243724400
97531182104440
102144842262784
117576935a56a1
122a7827401400
131273473a7400
1475b4d23cd44
153abd3d98909
hex1f3628fa900

2144842262784 has 243 divisors, whose sum is σ = 6699256451433. Its totient is φ = 659670276096.

The previous prime is 2144842262747. The next prime is 2144842262791. The reversal of 2144842262784 is 4872622484412.

The square root of 2144842262784 is 1464528.

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

2144842262784 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 4 + 2 + 2 + 627 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317284358400 + 1827557904384 = 563280^2 + 1351872^2 .

It is a super-2 number, since 2×21448422627842 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2144842262784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 913864299 + ... + 913866645.

Almost surely, 22144842262784 is an apocalyptic number.

2144842262784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2144842262784 is the 1464528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144842262784

2144842262784 is an abundant number, since it is smaller than the sum of its proper divisors (4554414188649).

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

2144842262784 is an frugal number, since it uses more digits than its factorization.

2144842262784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2365 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 2144842262784 in words is "two trillion, one hundred forty-four billion, eight hundred forty-two million, two hundred sixty-two thousand, seven hundred eighty-four".