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332304144130000 = 2454740911606851
BaseRepresentation
bin100101110001110101001011…
…0011101111101111111010000
31121120120222002011022211200201
41023203222112131331333100
5322023432341344130000
63134430225532424544
7126665116321134460
oct11343522635757720
91546528064284621
10332304144130000
119697843a234889
123132a929618154
13113561b9650853
145c0b86bd25ba0
152863ed7a1996a
hex12e3a9677dfd0

332304144130000 has 200 divisors, whose sum is σ = 921724259572160. Its totient is φ = 113654275200000.

The previous prime is 332304144129967. The next prime is 332304144130009. The reversal of 332304144130000 is 31441403233.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×3323041441300002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332304144130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22826575 + ... + 34433425.

Almost surely, 2332304144130000 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 332304144130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460862129786080).

332304144130000 is an abundant number, since it is smaller than the sum of its proper divisors (589420115442160).

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

332304144130000 is a wasteful number, since it uses less digits than its factorization.

332304144130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607295 (or 11607274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 332304144130000 its reverse (31441403233), we get a palindrome (332335585533233).

The spelling of 332304144130000 in words is "three hundred thirty-two trillion, three hundred four billion, one hundred forty-four million, one hundred thirty thousand".