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2032204131144 = 2333112591317881
BaseRepresentation
bin11101100100101000110…
…011100010101101001000
321012021110210121012212000
4131210220303202231020
5231243423224144034
64153325351151000
7266551625050155
oct35445063425510
97167423535760
102032204131144
11713942286200
12289a31075460
13119836476285
147050592d22c
1537ce038c599
hex1d928ce2b48

2032204131144 has 192 divisors, whose sum is σ = 6310019016000. Its totient is φ = 605381356800.

The previous prime is 2032204131137. The next prime is 2032204131157. The reversal of 2032204131144 is 4411314022302.

2032204131144 is a `hidden beast` number, since 20 + 3 + 220 + 413 + 1 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883084 + ... + 2200964.

It is an arithmetic number, because the mean of its divisors is an integer number (32864682375).

Almost surely, 22032204131144 is an apocalyptic number.

2032204131144 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 2032204131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155009508000).

2032204131144 is an abundant number, since it is smaller than the sum of its proper divisors (4277814884856).

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

2032204131144 is a wasteful number, since it uses less digits than its factorization.

2032204131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317977 (or 1317956 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2032204131144 its reverse (4411314022302), we get a palindrome (6443518153446).

The spelling of 2032204131144 in words is "two trillion, thirty-two billion, two hundred four million, one hundred thirty-one thousand, one hundred forty-four".