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194420391120 = 243253141920789
BaseRepresentation
bin1011010100010001011…
…0111011110011010000
3200120211111021012000200
42311010112323303100
511141133110003440
6225152051415200
720021630025504
oct2650426736320
9616744235020
10194420391120
11754a927349a
123181abb4500
1315445384167
1495a5064304
1550cd6cbc30
hex2d445bbcd0

194420391120 has 240 divisors, whose sum is σ = 675631756800. Its totient is φ = 50050851840.

The previous prime is 194420391083. The next prime is 194420391127. The reversal of 194420391120 is 21193024491.

194420391120 is a `hidden beast` number, since 1 + 9 + 442 + 0 + 3 + 91 + 120 = 666.

194420391120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194420391127) by changing a digit.

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, 9341686 + ... + 9362474.

It is an arithmetic number, because the mean of its divisors is an integer number (2815132320).

Almost surely, 2194420391120 is an apocalyptic number.

194420391120 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 194420391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337815878400).

194420391120 is an abundant number, since it is smaller than the sum of its proper divisors (481211365680).

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

194420391120 is a wasteful number, since it uses less digits than its factorization.

194420391120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 194420391120 in words is "one hundred ninety-four billion, four hundred twenty million, three hundred ninety-one thousand, one hundred twenty".