Search a number
-
+
234150212000000 = 2856232239463
BaseRepresentation
bin110101001111010101011000…
…001101011101100100000000
31010201001112121212101202012002
4311033111120031131210000
5221142304113233000000
62145555042235123132
7100214536350655202
oct6517253015354400
91121045555352162
10234150212000000
116867560243292a
1222317a682a34a8
13a08636897229a
1441b6d05cc8772
151c10bb732c8d5
hexd4f55835d900

234150212000000 has 756 divisors, whose sum is σ = 614610157889280. Its totient is φ = 89020377600000.

The previous prime is 234150211999997. The next prime is 234150212000027. The reversal of 234150212000000 is 212051432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 505723999769 + ... + 505724000231.

Almost surely, 2234150212000000 is an apocalyptic number.

234150212000000 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 234150212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307305078944640).

234150212000000 is an abundant number, since it is smaller than the sum of its proper divisors (380459945889280).

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

234150212000000 is an frugal number, since it uses more digits than its factorization.

234150212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 234150212000000 its reverse (212051432), we get a palindrome (234150424051432).

The spelling of 234150212000000 in words is "two hundred thirty-four trillion, one hundred fifty billion, two hundred twelve million", and thus it is an aban number.