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210004323144 = 233711835472503
BaseRepresentation
bin1100001110010100111…
…0111010101101001000
3202002001120011221212020
43003211032322231020
511420042101320034
6240250305244440
721113050202610
oct3034516725510
9662046157766
10210004323144
1181075a69260
123484a033720
1316a59b91305
14a242a4ba40
1556e18d8249
hex30e53bab48

210004323144 has 256 divisors, whose sum is σ = 663921377280. Its totient is φ = 53769381120.

The previous prime is 210004323119. The next prime is 210004323187. The reversal of 210004323144 is 441323400012.

210004323144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 83899797 + ... + 83902299.

It is an arithmetic number, because the mean of its divisors is an integer number (2593442880).

Almost surely, 2210004323144 is an apocalyptic number.

210004323144 is a gapful number since it is divisible by the number (24) 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 210004323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331960688640).

210004323144 is an abundant number, since it is smaller than the sum of its proper divisors (453917054136).

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

210004323144 is a wasteful number, since it uses less digits than its factorization.

210004323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 210004323144 its reverse (441323400012), we get a palindrome (651327723156).

The spelling of 210004323144 in words is "two hundred ten billion, four million, three hundred twenty-three thousand, one hundred forty-four".