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244464443305312 = 25195927457248203
BaseRepresentation
bin110111100101011011010000…
…010011011010110101100000
31012001120120110101021020120111
4313211123100103122311200
5224020301134441232222
62223533225335421104
7102330654541344166
oct6745332023326540
91161516411236514
10244464443305312
117099187408649a
1223502a1b524794
13a653b8a133709
1444521dc243236
151d3e134002777
hexde56d04dad60

244464443305312 has 96 divisors (see below), whose sum is σ = 515228018659200. Its totient is φ = 113831648206848.

The previous prime is 244464443305231. The next prime is 244464443305417. The reversal of 244464443305312 is 213503344464442.

It is a happy number.

244464443305312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2444644433053122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984813403 + ... + 985061605.

It is an arithmetic number, because the mean of its divisors is an integer number (5366958527700).

Almost surely, 2244464443305312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244464443305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257614009329600).

244464443305312 is an abundant number, since it is smaller than the sum of its proper divisors (270763575353888).

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

244464443305312 is a wasteful number, since it uses less digits than its factorization.

244464443305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275748 (or 275740 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 49.

Adding to 244464443305312 its reverse (213503344464442), we get a palindrome (457967787769754).

The spelling of 244464443305312 in words is "two hundred forty-four trillion, four hundred sixty-four billion, four hundred forty-three million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 8968 17936 27457 35872 54914 109828 219656 248203 439312 496406 521683 878624 992812 1043366 1619963 1985624 2086732 3239926 3971248 4173464 4715857 6479852 7942496 8346928 9431714 12959704 14643977 16693856 18863428 25919408 29287954 30779297 37726856 51838816 58575908 61558594 75453712 117151816 123117188 150907424 234303632 246234376 278235563 468607264 492468752 556471126 984937504 1112942252 2225884504 4451769008 6814909771 8903538016 13629819542 27259639084 54519278168 109038556336 129483285649 218077112672 258966571298 402079676489 517933142596 804159352978 1035866285192 1608318705956 2071732570384 3216637411912 4143465140768 6433274823824 7639513853291 12866549647648 15279027706582 30558055413164 61116110826328 122232221652656 244464443305312