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214412000000 = 2856112443
BaseRepresentation
bin1100011110101111110…
…0110111101100000000
3202111102202000010211012
43013223330313230000
512003103433000000
6242255521140052
721330220633502
oct3075374675400
9674382003735
10214412000000
1182a27a91100
123567a18a628
13172b00b1623
14a5401a3d72
15589d83b735
hex31ebf37b00

214412000000 has 378 divisors, whose sum is σ = 589359096732. Its totient is φ = 77792000000.

The previous prime is 214411999961. The next prime is 214412000087. The reversal of 214412000000 is 214412.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 483999779 + ... + 484000221.

Almost surely, 2214412000000 is an apocalyptic number.

214412000000 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 214412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294679548366).

214412000000 is an abundant number, since it is smaller than the sum of its proper divisors (374947096732).

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

214412000000 is an frugal number, since it uses more digits than its factorization.

214412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 214412000000 its reverse (214412), we get a palindrome (214412214412).

214412000000 divided by its reverse (214412) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 214 and 412000000, that added together give a palindrome (412000214).

The spelling of 214412000000 in words is "two hundred fourteen billion, four hundred twelve million", and thus it is an aban number.