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244134304000 = 28537629197
BaseRepresentation
bin1110001101011110001…
…0011101100100000000
3212100011010202121220021
43203113202131210000
512444441340212000
6304053113223224
723431606226146
oct3432742354400
9770133677807
10244134304000
119459a4a5004
123b394101b14
131a038a87962
14bb5d7a3596
15653cdb011a
hex38d789d900

244134304000 has 72 divisors (see below), whose sum is σ = 608169147768. Its totient is φ = 97653708800.

The previous prime is 244134303997. The next prime is 244134304039. The reversal of 244134304000 is 403431442.

244134304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12919504896 + 231214799104 = 113664^2 + 480848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3782599 + ... + 3846598.

It is an arithmetic number, because the mean of its divisors is an integer number (8446793719).

Almost surely, 2244134304000 is an apocalyptic number.

244134304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244134304000 is an abundant number, since it is smaller than the sum of its proper divisors (364034843768).

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

244134304000 is an frugal number, since it uses more digits than its factorization.

244134304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629228 (or 7629204 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 244134304000 its reverse (403431442), we get a palindrome (244537735442).

The spelling of 244134304000 in words is "two hundred forty-four billion, one hundred thirty-four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 7629197 15258394 30516788 38145985 61033576 76291970 122067152 152583940 190729925 244134304 305167880 381459850 488268608 610335760 762919700 953649625 976537216 1220671520 1525839400 1907299250 1953074432 2441343040 3051678800 3814598500 4882686080 6103357600 7629197000 9765372160 12206715200 15258394000 24413430400 30516788000 48826860800 61033576000 122067152000 244134304000