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4160210111442 = 232711191108714249
BaseRepresentation
bin111100100010011111110…
…110001000101111010010
3112201201020012021121122100
4330202133312020233102
51021130102242031232
612503101340421230
7606364612326120
oct74423766105722
915651205247570
104160210111442
111364376173650
12572339b47816
132423c974cb48
141054d8b08910
157333b0ecc7c
hex3c89fd88bd2

4160210111442 has 192 divisors, whose sum is σ = 11831339520000. Its totient is φ = 1023537565440.

The previous prime is 4160210111429. The next prime is 4160210111459. The reversal of 4160210111442 is 2441110120614.

It is a happy number.

4160210111442 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 210 + 1 + 1 + 1 + 442 = 666.

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 95 ways as a sum of consecutive naturals, for example, 291957934 + ... + 291972182.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560000).

Almost surely, 24160210111442 is an apocalyptic number.

4160210111442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160210111442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760000).

4160210111442 is an abundant number, since it is smaller than the sum of its proper divisors (7671129408558).

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

4160210111442 is a wasteful number, since it uses less digits than its factorization.

4160210111442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25381 (or 25378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 4160210111442 in words is "four trillion, one hundred sixty billion, two hundred ten million, one hundred eleven thousand, four hundred forty-two".