Search a number
-
+
214443043320000 = 2635411318151071
BaseRepresentation
bin110000110000100011101001…
…011010111111000011000000
31001010021112222101201121000210
4300300203221122333003000
5211101413323042220000
62040025435112314120
763111666344036145
oct6060435132770300
91033245871647023
10214443043320000
1162367869487770
12200745b93a2940
139286b7a274981
143ad5154aa43cc
1519bd25061c350
hexc308e96bf0c0

214443043320000 has 560 divisors, whose sum is σ = 773711465877504. Its totient is φ = 51968832000000.

The previous prime is 214443043319903. The next prime is 214443043320017. The reversal of 214443043320000 is 23340344412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 214443043320000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4198894465 + ... + 4198945535.

Almost surely, 2214443043320000 is an apocalyptic number.

214443043320000 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 214443043320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386855732938752).

214443043320000 is an abundant number, since it is smaller than the sum of its proper divisors (559268422557504).

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

214443043320000 is a wasteful number, since it uses less digits than its factorization.

214443043320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54298 (or 54273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 214443043320000 its reverse (23340344412), we get a palindrome (214466383664412).

The spelling of 214443043320000 in words is "two hundred fourteen trillion, four hundred forty-three billion, forty-three million, three hundred twenty thousand".