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244420031440 = 24513235019261
BaseRepresentation
bin1110001110100010010…
…0011011001111010000
3212100220001102002021001
43203220210123033100
513001033012001230
6304141321311344
723441645662564
oct3435044331720
9770801362231
10244420031440
1194726810292
123b453935554
131a083029250
14bb896dd6a4
1565580000ca
hex38e891b3d0

244420031440 has 40 divisors (see below), whose sum is σ = 611990158248. Its totient is φ = 90247395840.

The previous prime is 244420031437. The next prime is 244420031441. The reversal of 244420031440 is 44130024442.

It can be written as a sum of positive squares in 4 ways, for example, as 42412931136 + 202007100304 = 205944^2 + 449452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 244420031399 and 244420031408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244420031441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117508591 + ... + 117510670.

Almost surely, 2244420031440 is an apocalyptic number.

244420031440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244420031440 is an abundant number, since it is smaller than the sum of its proper divisors (367570126808).

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

244420031440 is a wasteful number, since it uses less digits than its factorization.

244420031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235019287 (or 235019281 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 244420031440 its reverse (44130024442), we get a palindrome (288550055882).

The spelling of 244420031440 in words is "two hundred forty-four billion, four hundred twenty million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 235019261 470038522 940077044 1175096305 1880154088 2350192610 3055250393 3760308176 4700385220 6110500786 9400770440 12221001572 15276251965 18801540880 24442003144 30552503930 48884006288 61105007860 122210015720 244420031440