Search a number
-
+
33230411412000 = 25353111391811119
BaseRepresentation
bin1111000111001000011101…
…10111100011001000100000
311100122210111111200111222020
413203210032313203020200
513323421340310141000
6154401501254541440
76666550400341125
oct743441667431040
9140583444614866
1033230411412000
11a651a35a21980
123888339667880
1315707ca95c15a
1482c5092a474c
153c95ec785ba0
hex1e390ede3220

33230411412000 has 384 divisors, whose sum is σ = 119613899059200. Its totient is φ = 7997897088000.

The previous prime is 33230411411999. The next prime is 33230411412007. The reversal of 33230411412000 is 21411403233.

It is a happy number.

It is a super-2 number, since 2×332304114120002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33230411412007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17442441 + ... + 19253559.

It is an arithmetic number, because the mean of its divisors is an integer number (311494528800).

Almost surely, 233230411412000 is an apocalyptic number.

33230411412000 is a gapful number since it is divisible by the number (30) 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 33230411412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59806949529600).

33230411412000 is an abundant number, since it is smaller than the sum of its proper divisors (86383487647200).

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

33230411412000 is a wasteful number, since it uses less digits than its factorization.

33230411412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811297 (or 1811279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33230411412000 its reverse (21411403233), we get a palindrome (33251822815233).

The spelling of 33230411412000 in words is "thirty-three trillion, two hundred thirty billion, four hundred eleven million, four hundred twelve thousand".