Search a number
-
+
234016860000 = 25354711373
BaseRepresentation
bin1101100111110001111…
…1011110011101100000
3211101001001000012220010
43121330133132131200
512313231304010000
6255301133244520
722623104326650
oct3317437363540
9741031005803
10234016860000
1190278464640
123942b933740
13190b5959ac1
14b47dbcc360
156149a53d50
hex367c7de760

234016860000 has 960 divisors, whose sum is σ = 983619141120. Its totient is φ = 47312640000.

The previous prime is 234016859983. The next prime is 234016860019. The reversal of 234016860000 is 68610432.

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 234016860000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6324779982 + ... + 6324780018.

It is an arithmetic number, because the mean of its divisors is an integer number (1024603272).

Almost surely, 2234016860000 is an apocalyptic number.

234016860000 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 234016860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491809570560).

234016860000 is an abundant number, since it is smaller than the sum of its proper divisors (749602281120).

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

234016860000 is an frugal number, since it uses more digits than its factorization.

234016860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 234016860000 in words is "two hundred thirty-four billion, sixteen million, eight hundred sixty thousand".