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2141044432224 = 25379282310711
BaseRepresentation
bin11111001010000000001…
…100010101110101100000
321120200102001211101101020
4133022000030111311200
5240034324333312344
64315325432405440
7310454035253205
oct37120014256540
97520361741336
102141044432224
11756014846355
122a6b47546880
13126b9061c5a9
14758acab3cac
153aa6075a719
hex1f280315d60

2141044432224 has 48 divisors (see below), whose sum is σ = 5691383953920. Its totient is φ = 704647532160.

The previous prime is 2141044432223. The next prime is 2141044432229. The reversal of 2141044432224 is 4222344401412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141044432223) 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, 141147772 + ... + 141162939.

It is an arithmetic number, because the mean of its divisors is an integer number (118570499040).

Almost surely, 22141044432224 is an apocalyptic number.

2141044432224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141044432224 is an abundant number, since it is smaller than the sum of its proper divisors (3550339521696).

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

2141044432224 is a wasteful number, since it uses less digits than its factorization.

2141044432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282310803 (or 282310795 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2141044432224 its reverse (4222344401412), we get a palindrome (6363388833636).

The spelling of 2141044432224 in words is "two trillion, one hundred forty-one billion, forty-four million, four hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 282310711 564621422 846932133 1129242844 1693864266 2258485688 3387728532 4516971376 6775457064 9033942752 13550914128 22302546169 27101828256 44605092338 66907638507 89210184676 133815277014 178420369352 267630554028 356840738704 535261108056 713681477408 1070522216112 2141044432224