Search a number
-
+
332030315119104 = 29327433074191861
BaseRepresentation
bin100101101111110101101010…
…0111111001100001000000000
31121112121210021112201210211100
41023133223110333030020000
5322004441041132302404
63134100342050414400
7126636253510012650
oct11337532477141000
91545553245653740
10332030315119104
11968822a1965aa8
12312a5848891400
131133642a832c14
145bdc4d28a8360
15285bd0cc37d39
hex12dfad4fcc200

332030315119104 has 960 divisors, whose sum is σ = 1127564341263360. Its totient is φ = 92087865999360.

The previous prime is 332030315119093. The next prime is 332030315119121. The reversal of 332030315119104 is 401911513030233.

332030315119104 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 3 + 0 + 31 + 511 + 9 + 104 = 666.

It is a super-2 number, since 2×3320303151191042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178414999134 + ... + 178415000994.

It is an arithmetic number, because the mean of its divisors is an integer number (1174546188816).

Almost surely, 2332030315119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332030315119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563782170631680).

332030315119104 is an abundant number, since it is smaller than the sum of its proper divisors (795534026144256).

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

332030315119104 is a wasteful number, since it uses less digits than its factorization.

332030315119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 332030315119104 its reverse (401911513030233), we get a palindrome (733941828149337).

The spelling of 332030315119104 in words is "three hundred thirty-two trillion, thirty billion, three hundred fifteen million, one hundred nineteen thousand, one hundred four".