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194313420840 = 233571126013181
BaseRepresentation
bin1011010011110111111…
…0111000000000101000
3200120120000222112101110
42310331332320000220
511140423213431330
6225133310550320
720016160553010
oct2647576700050
9616500875343
10194313420840
1175453951100
12317ab2083a0
131542916cb36
149594b7ac40
1550c40ebdb0
hex2d3dfb8028

194313420840 has 384 divisors, whose sum is σ = 733737634560. Its totient is φ = 40296960000.

The previous prime is 194313420811. The next prime is 194313420887. The reversal of 194313420840 is 48024313491.

194313420840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 61084050 + ... + 61087230.

It is an arithmetic number, because the mean of its divisors is an integer number (1910775090).

Almost surely, 2194313420840 is an apocalyptic number.

194313420840 is a gapful number since it is divisible by the number (10) 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 194313420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366868817280).

194313420840 is an abundant number, since it is smaller than the sum of its proper divisors (539424213720).

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

194313420840 is a wasteful number, since it uses less digits than its factorization.

194313420840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 194313420840 in words is "one hundred ninety-four billion, three hundred thirteen million, four hundred twenty thousand, eight hundred forty".