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244441304200 = 235219367175277
BaseRepresentation
bin1110001110100111010…
…1100100110010001000
3212100221112102212000001
43203221311210302020
513001103433213300
6304143401252344
723442324542362
oct3435165446210
9770845385001
10244441304200
119473781a885
123b45aa940b4
131a087566a92
14bb8c479d32
156559d0316a
hex38e9d64c88

244441304200 has 96 divisors (see below), whose sum is σ = 599871427200. Its totient is φ = 92377463040.

The previous prime is 244441304197. The next prime is 244441304209. The reversal of 244441304200 is 2403144442.

244441304200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (244441304209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306962 + ... + 1482238.

It is an arithmetic number, because the mean of its divisors is an integer number (6248660700).

Almost surely, 2244441304200 is an apocalyptic number.

244441304200 is a gapful number since it is divisible by the number (20) 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 244441304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299935713600).

244441304200 is an abundant number, since it is smaller than the sum of its proper divisors (355430123000).

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

244441304200 is a wasteful number, since it uses less digits than its factorization.

244441304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175679 (or 175670 counting only the distinct ones).

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

Adding to 244441304200 its reverse (2403144442), we get a palindrome (246844448642).

The spelling of 244441304200 in words is "two hundred forty-four billion, four hundred forty-one million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 367 380 475 734 760 950 1468 1835 1900 2936 3670 3800 6973 7340 9175 13946 14680 18350 27892 34865 36700 55784 69730 73400 139460 174325 175277 278920 348650 350554 697300 701108 876385 1394600 1402216 1752770 3330263 3505540 4381925 6660526 7011080 8763850 13321052 16651315 17527700 26642104 33302630 35055400 64326659 66605260 83256575 128653318 133210520 166513150 257306636 321633295 333026300 514613272 643266590 666052600 1222206521 1286533180 1608166475 2444413042 2573066360 3216332950 4888826084 6111032605 6432665900 9777652168 12222065210 12865331800 24444130420 30555163025 48888260840 61110326050 122220652100 244441304200