201414301000 has 192 divisors, whose sum is σ = 523211860080. Its totient is φ = 72512000000.

The previous prime is 201414300959. The next prime is 201414301001. The reversal of 201414301000 is 103414102.

201414301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33915642244 + 167498658756 = 184162^2 + 409266^2 .

It is not an unprimeable number, because it can be changed into a prime (201414301001) 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, 12212760 + ... + 12229240.

Almost surely, 2^201414301000 is an apocalyptic number.

201414301000 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 201414301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261605930040).

201414301000 is an abundant number, since it is smaller than the sum of its proper divisors (321797559080).

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

201414301000 is a wasteful number, since it uses less digits than its factorization.

201414301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201414301000 its reverse (103414102), we get a palindrome (201517715102).

The spelling of 201414301000 in words is "two hundred one billion, four hundred fourteen million, three hundred one thousand".