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415068300000 = 253555192931
BaseRepresentation
bin1100000101000111111…
…11111010001011100000
31110200100211020022200000
412002203333322023200
523300024441100000
6514402454100000
741662531223544
oct6024377721340
91420324208600
10415068300000
111500362641a2
126853964a600
13301aa37c1a3
14161374c5a24
15abe4700000
hex60a3ffa2e0

415068300000 has 1728 divisors, whose sum is σ = 1719789926400. Its totient is φ = 97977600000.

The previous prime is 415068299939. The next prime is 415068300041. The reversal of 415068300000 is 3860514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13389299985 + ... + 13389300015.

It is an arithmetic number, because the mean of its divisors is an integer number (995248800).

Almost surely, 2415068300000 is an apocalyptic number.

415068300000 is a gapful number since it is divisible by the number (40) 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 415068300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859894963200).

415068300000 is an abundant number, since it is smaller than the sum of its proper divisors (1304721626400).

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

415068300000 is an equidigital number, since it uses as much as digits as its factorization.

415068300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 415068300000 in words is "four hundred fifteen billion, sixty-eight million, three hundred thousand".