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244310245320 = 2335101124916139
BaseRepresentation
bin1110001110001000000…
…1100111111111001000
3212100121101211101000110
43203202001213333020
513000321410322240
6304122400234320
723436143551461
oct3434201477710
9770541741013
10244310245320
119467a845359
123b42300b9a0
131a06636a34b
14bb78cc1d68
15654d565c80
hex38e2067fc8

244310245320 has 128 divisors (see below), whose sum is σ = 740826000000. Its totient is φ = 64448716800.

The previous prime is 244310245301. The next prime is 244310245321. The reversal of 244310245320 is 23542013442.

244310245320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (244310245321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15129811 + ... + 15145949.

It is an arithmetic number, because the mean of its divisors is an integer number (5787703125).

Almost surely, 2244310245320 is an apocalyptic number.

244310245320 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 244310245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370413000000).

244310245320 is an abundant number, since it is smaller than the sum of its proper divisors (496515754680).

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

244310245320 is a wasteful number, since it uses less digits than its factorization.

244310245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17503 (or 17499 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 244310245320 its reverse (23542013442), we get a palindrome (267852258762).

The spelling of 244310245320 in words is "two hundred forty-four billion, three hundred ten million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1249 1515 2020 2424 2498 3030 3747 4040 4996 6060 6245 7494 9992 12120 12490 14988 16139 18735 24980 29976 32278 37470 48417 49960 64556 74940 80695 96834 126149 129112 149880 161390 193668 242085 252298 322780 378447 387336 484170 504596 630745 645560 756894 968340 1009192 1261490 1513788 1630039 1892235 1936680 2522980 3027576 3260078 3784470 4890117 5045960 6520156 7568940 8150195 9780234 13040312 15137880 16300390 19560468 20157611 24450585 32600780 39120936 40315222 48901170 60472833 65201560 80630444 97802340 100788055 120945666 161260888 195604680 201576110 241891332 302364165 403152220 483782664 604728330 806304440 1209456660 2035918711 2418913320 4071837422 6107756133 8143674844 10179593555 12215512266 16287349688 20359187110 24431024532 30538780665 40718374220 48862049064 61077561330 81436748440 122155122660 244310245320