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20141304120 = 233257411511291
BaseRepresentation
bin10010110000100000…
…111110100100111000
31220222200102021001200
4102300200332210320
5312222133212440
613130334014200
71312056155160
oct226040764470
956880367050
1020141304120
1185a6271993
123aa1347360
131b8ca50742
14d90d895a0
157cd37dc30
hex4b083e938

20141304120 has 384 divisors, whose sum is σ = 77202478080. Its totient is φ = 4458240000.

The previous prime is 20141304119. The next prime is 20141304187. The reversal of 20141304120 is 2140314102.

20141304120 is a `hidden beast` number, since 201 + 41 + 304 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20141304093 and 20141304102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15600675 + ... + 15601965.

It is an arithmetic number, because the mean of its divisors is an integer number (201048120).

Almost surely, 220141304120 is an apocalyptic number.

20141304120 is a gapful number since it is divisible by the number (20) 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 20141304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38601239040).

20141304120 is an abundant number, since it is smaller than the sum of its proper divisors (57061173960).

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

20141304120 is a wasteful number, since it uses less digits than its factorization.

20141304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20141304120 its reverse (2140314102), we get a palindrome (22281618222).

The spelling of 20141304120 in words is "twenty billion, one hundred forty-one million, three hundred four thousand, one hundred twenty".