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2143224441144 = 2332196189288577
BaseRepresentation
bin11111001100000010001…
…000011010100100111000
321120220000222220022102100
4133030002020122210320
5240103310424104034
64320330025503400
7310562046111303
oct37140210324470
97526028808370
102143224441144
11756a33361316
122a7455641b60
1312714a1718b7
1475a38429b3a
153ab3bd29099
hex1f30221a938

2143224441144 has 192 divisors, whose sum is σ = 6280034436000. Its totient is φ = 658230312960.

The previous prime is 2143224441139. The next prime is 2143224441179. The reversal of 2143224441144 is 4411444223412.

2143224441144 is a `hidden beast` number, since 2 + 1 + 432 + 2 + 44 + 41 + 144 = 666.

It is a super-2 number, since 2×21432244411442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2143224441099 and 2143224441108.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7282584 + ... + 7571160.

Almost surely, 22143224441144 is an apocalyptic number.

2143224441144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143224441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140017218000).

2143224441144 is an abundant number, since it is smaller than the sum of its proper divisors (4136809994856).

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

2143224441144 is a wasteful number, since it uses less digits than its factorization.

2143224441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288758 (or 288751 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 2143224441144 its reverse (4411444223412), we get a palindrome (6554668664556).

The spelling of 2143224441144 in words is "two trillion, one hundred forty-three billion, two hundred twenty-four million, four hundred forty-one thousand, one hundred forty-four".