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1232224200144 = 243272414259389
BaseRepresentation
bin10001111011100110010…
…010010010010111010000
311100210120211020002100200
4101323212102102113100
5130142043343401034
62342024225015200
7155011443612300
oct21734622222720
94323524202320
101232224200144
11435646489663
1217a991484500
138c276705562
14438d610d600
15220bdc11a99
hex11ee64925d0

1232224200144 has 180 divisors, whose sum is σ = 4109382802980. Its totient is φ = 343477048320.

The previous prime is 1232224200133. The next prime is 1232224200197. The reversal of 1232224200144 is 4410024222321.

It is a happy number.

1232224200144 is a `hidden beast` number, since 1 + 2 + 3 + 222 + 420 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 659798798400 + 572425401744 = 812280^2 + 756588^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1840399 + ... + 2418990.

It is an arithmetic number, because the mean of its divisors is an integer number (22829904461).

Almost surely, 21232224200144 is an apocalyptic number.

1232224200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1232224200144 is an abundant number, since it is smaller than the sum of its proper divisors (2877158602836).

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

1232224200144 is a wasteful number, since it uses less digits than its factorization.

1232224200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259458 (or 4259442 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1232224200144 its reverse (4410024222321), we get a palindrome (5642248422465).

The spelling of 1232224200144 in words is "one trillion, two hundred thirty-two billion, two hundred twenty-four million, two hundred thousand, one hundred forty-four".