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2141014044224 = 261121929349663
BaseRepresentation
bin11111001001111110011…
…000011010111001000000
321120200022221122111212202
4133021332120122321000
5240034244043403344
64315322425212332
7310453216050356
oct37117630327100
97520287574782
102141014044224
11755aa9680400
122a6b393310a8
13126b8723cb23
14758a8a437d6
153aa5cc5694e
hex1f27e61ae40

2141014044224 has 168 divisors, whose sum is σ = 4932582789120. Its totient is φ = 918802621440.

The previous prime is 2141014044209. The next prime is 2141014044259. The reversal of 2141014044224 is 4224404101412.

It is a super-2 number, since 2×21410140442242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43086017 + ... + 43135679.

It is an arithmetic number, because the mean of its divisors is an integer number (29360611840).

Almost surely, 22141014044224 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 2141014044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466291394560).

2141014044224 is an abundant number, since it is smaller than the sum of its proper divisors (2791568744896).

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

2141014044224 is a wasteful number, since it uses less digits than its factorization.

2141014044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50009 (or 49988 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 2141014044224 its reverse (4224404101412), we get a palindrome (6365418145636).

The spelling of 2141014044224 in words is "two trillion, one hundred forty-one billion, fourteen million, forty-four thousand, two hundred twenty-four".