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2146032042 = 23711237101113
BaseRepresentation
bin111111111101001…
…1101100110101010
312112120010201112020
41333322131212222
513343341011132
6552540525310
7104115654120
oct17772354652
95476121466
102146032042
11a01419700
124ba850836
132827b715b
1416502d910
15c860b52c
hex7fe9d9aa

2146032042 has 192 divisors, whose sum is σ = 5641719552. Its totient is φ = 532224000.

The previous prime is 2146032029. The next prime is 2146032047. The reversal of 2146032042 is 2402306412.

It is not an unprimeable number, because it can be changed into a prime (2146032047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18991378 + ... + 18991490.

It is an arithmetic number, because the mean of its divisors is an integer number (29383956).

Almost surely, 22146032042 is an apocalyptic number.

2146032042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146032042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820859776).

2146032042 is an abundant number, since it is smaller than the sum of its proper divisors (3495687510).

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

2146032042 is a wasteful number, since it uses less digits than its factorization.

2146032042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2146032042 is about 46325.2851259439. The cubic root of 2146032042 is about 1289.8683923185.

Adding to 2146032042 its reverse (2402306412), we get a palindrome (4548338454).

The spelling of 2146032042 in words is "two billion, one hundred forty-six million, thirty-two thousand, forty-two".