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32143020200000 = 26551229130769
BaseRepresentation
bin1110100111011111000010…
…10011010001000001000000
311012210211202100021112201122
413103233201103101001000
513203112401132400000
6152210144415251412
76525154001500343
oct723574123210100
9135724670245648
1032143020200000
11a272861a32a36
123731648519b68
1314c20c61a02a8
147d1a3260c45a
153ab1a8c0c085
hex1d3be14d1040

32143020200000 has 168 divisors, whose sum is σ = 79790134120200. Its totient is φ = 12846648320000.

The previous prime is 32143020199991. The next prime is 32143020200021. The reversal of 32143020200000 is 202034123.

It can be written as a sum of positive squares in 12 ways, for example, as 31739612299264 + 403407900736 = 5633792^2 + 635144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245734616 + ... + 245865384.

It is an arithmetic number, because the mean of its divisors is an integer number (474941274525).

Almost surely, 232143020200000 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 32143020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39895067060100).

32143020200000 is an abundant number, since it is smaller than the sum of its proper divisors (47647113920200).

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

32143020200000 is an equidigital number, since it uses as much as digits as its factorization.

32143020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132035 (or 132005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 32143020200000 its reverse (202034123), we get a palindrome (32143222234123).

The spelling of 32143020200000 in words is "thirty-two trillion, one hundred forty-three billion, twenty million, two hundred thousand".