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844141987984 = 242296932
BaseRepresentation
bin11000100100010101100…
…10001000100010010000
32222200212201002001211111
430102022302020202100
5102312300322103414
61443443220223104
7114662424336361
oct14221262104220
92880781061744
10844141987984
112a5aa91666a9
1211772553aa94
13617aa1a57a9
142cbdca87b68
1516e587498c4
hexc48ac88890

844141987984 has 15 divisors (see below), whose sum is σ = 1635532222233. Its totient is φ = 422069156448.

The previous prime is 844141987967. The next prime is 844141987991. The reversal of 844141987984 is 489789141448.

It is a happy number.

The square root of 844141987984 is 918772.

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

It can be written as a sum of positive squares in only one way, i.e., 121424371600 + 722717616384 = 348460^2 + 850128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3560242 + ... + 3789934.

Almost surely, 2844141987984 is an apocalyptic number.

844141987984 is the 918772-nd square number.

It is an amenable number.

844141987984 is a deficient number, since it is larger than the sum of its proper divisors (791390234249).

844141987984 is an frugal number, since it uses more digits than its factorization.

844141987984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459394 (or 229695 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 67.

The spelling of 844141987984 in words is "eight hundred forty-four billion, one hundred forty-one million, nine hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 229693 459386 918772 1837544 3675088 52758874249 105517748498 211035496996 422070993992 844141987984