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200444211434412 = 223911281823651
BaseRepresentation
bin101101100100110110001110…
…000001010001001110101100
3222021201021112201211000000000
4231210312032001101032230
5202233034221111400122
61550150444410104300
760135421263233001
oct5544661601211654
9867637481730000
10200444211434412
115895aa0486a7a0
121a593520a1b090
1387aca6732cbaa
14376d7a18258a8
15182903205c0ac
hexb64d8e0513ac

200444211434412 has 240 divisors, whose sum is σ = 576032979037824. Its totient is φ = 60524437680000.

The previous prime is 200444211434377. The next prime is 200444211434497. The reversal of 200444211434412 is 214434112444002.

200444211434412 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 4 + 211 + 434 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242948787 + ... + 243772437.

Almost surely, 2200444211434412 is an apocalyptic number.

200444211434412 is a gapful number since it is divisible by the number (22) 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 200444211434412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288016489518912).

200444211434412 is an abundant number, since it is smaller than the sum of its proper divisors (375588767603412).

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

200444211434412 is an equidigital number, since it uses as much as digits as its factorization.

200444211434412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823974 (or 823948 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 200444211434412 its reverse (214434112444002), we get a palindrome (414878323878414).

The spelling of 200444211434412 in words is "two hundred trillion, four hundred forty-four billion, two hundred eleven million, four hundred thirty-four thousand, four hundred twelve".