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2335142212000 = 255313392311447
BaseRepresentation
bin100001111110110001010…
…100100111000110100000
322021020102002001012211121
4201332301110213012200
5301224332401241000
64544425521422024
7330465000206113
oct41766124470640
98236362035747
102335142212000
118203679a10a4
1231869649a914
1313c283bb9a60
1481042d5a57a
1540b2095db1a
hex21fb15271a0

2335142212000 has 192 divisors, whose sum is σ = 6180901219584. Its totient is φ = 861911270400.

The previous prime is 2335142211929. The next prime is 2335142212031. The reversal of 2335142212000 is 2122415332.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 203990277 + ... + 204001723.

It is an arithmetic number, because the mean of its divisors is an integer number (32192193852).

Almost surely, 22335142212000 is an apocalyptic number.

2335142212000 is a gapful number since it is divisible by the number (20) 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 2335142212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090450609792).

2335142212000 is an abundant number, since it is smaller than the sum of its proper divisors (3845759007584).

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

2335142212000 is a wasteful number, since it uses less digits than its factorization.

2335142212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15408 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2335142212000 its reverse (2122415332), we get a palindrome (2337264627332).

The spelling of 2335142212000 in words is "two trillion, three hundred thirty-five billion, one hundred forty-two million, two hundred twelve thousand".