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244420004400 = 2435211131424359
BaseRepresentation
bin1110001110100010010…
…0010100101000110000
3212100220001100201011120
43203220210110220300
513001033010120100
6304141320542240
723441645521005
oct3435044245060
9770801321146
10244420004400
11947267a1a40
123b453921980
131a083019b50
14bb896d38ac
156557ee70a0
hex38e8914a30

244420004400 has 240 divisors, whose sum is σ = 919840293120. Its totient is φ = 54695347200.

The previous prime is 244420004357. The next prime is 244420004429. The reversal of 244420004400 is 4400024442.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2444200044002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540580 + ... + 883779.

It is an arithmetic number, because the mean of its divisors is an integer number (3832667888).

Almost surely, 2244420004400 is an apocalyptic number.

244420004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244420004400 is an abundant number, since it is smaller than the sum of its proper divisors (675420288720).

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

244420004400 is a wasteful number, since it uses less digits than its factorization.

244420004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424404 (or 1424393 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 244420004400 its reverse (4400024442), we get a palindrome (248820028842).

The spelling of 244420004400 in words is "two hundred forty-four billion, four hundred twenty million, four thousand, four hundred".