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323042132000 = 2553714977431
BaseRepresentation
bin1001011001101101100…
…11111100000000100000
31010212211100202121120102
410230312303330000200
520243042241211000
6404223054001532
732224166546630
oct4546663740040
91125740677512
10323042132000
111150019530a5
12527361a62a8
132460284cb43
14118c747a6c0
15860a5423d5
hex4b36cfc020

323042132000 has 192 divisors, whose sum is σ = 913202035200. Its totient is φ = 110012544000.

The previous prime is 323042131999. The next prime is 323042132009. The reversal of 323042132000 is 231240323.

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

It is not an unprimeable number, because it can be changed into a prime (323042132009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4133285 + ... + 4210715.

It is an arithmetic number, because the mean of its divisors is an integer number (4756260600).

Almost surely, 2323042132000 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 323042132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456601017600).

323042132000 is an abundant number, since it is smaller than the sum of its proper divisors (590159903200).

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

323042132000 is a wasteful number, since it uses less digits than its factorization.

323042132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77612 (or 77594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 323042132000 its reverse (231240323), we get a palindrome (323273372323).

The spelling of 323042132000 in words is "three hundred twenty-three billion, forty-two million, one hundred thirty-two thousand".