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2143441305144 = 2332473138812297
BaseRepresentation
bin11111001100001111000…
…011101011111000111000
321120220121002222010220100
4133030033003223320320
5240104231433231034
64320403333555400
7310600321323666
oct37141703537070
97526532863810
102143441305144
11757034812467
122a74b61a5b60
13127183081aa9
1475a5915bc36
153ab50db5099
hex1f30f0ebe38

2143441305144 has 192 divisors, whose sum is σ = 5956952077440. Its totient is φ = 695950295040.

The previous prime is 2143441305139. The next prime is 2143441305193. The reversal of 2143441305144 is 4415031443412.

It is a happy number.

2143441305144 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 4 + 4 + 130 + 514 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2143441305099 and 2143441305108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933147004 + ... + 933149300.

It is an arithmetic number, because the mean of its divisors is an integer number (31025792070).

Almost surely, 22143441305144 is an apocalyptic number.

2143441305144 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 2143441305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978476038720).

2143441305144 is an abundant number, since it is smaller than the sum of its proper divisors (3813510772296).

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

2143441305144 is a wasteful number, since it uses less digits than its factorization.

2143441305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2143441305144 its reverse (4415031443412), we get a palindrome (6558472748556).

The spelling of 2143441305144 in words is "two trillion, one hundred forty-three billion, four hundred forty-one million, three hundred five thousand, one hundred forty-four".