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244313552240 = 24531328793389
BaseRepresentation
bin1110001110001000111…
…0001111010101110000
3212100121122001101020222
43203202032033111300
513000323232132430
6304122555152212
723436213633602
oct3434216172560
9770548041228
10244313552240
11946816a394a
123b424145668
131a066c575c4
14bb79503172
15654d9ba9e5
hex38e238f570

244313552240 has 80 divisors (see below), whose sum is σ = 570209932800. Its totient is φ = 97350629376.

The previous prime is 244313552239. The next prime is 244313552251. The reversal of 244313552240 is 42255313442.

It is a happy number.

244313552240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2443135522402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244313552240.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72088466 + ... + 72091854.

It is an arithmetic number, because the mean of its divisors is an integer number (7127624160).

Almost surely, 2244313552240 is an apocalyptic number.

244313552240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244313552240 is an abundant number, since it is smaller than the sum of its proper divisors (325896380560).

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

244313552240 is a wasteful number, since it uses less digits than its factorization.

244313552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 244313552240 its reverse (42255313442), we get a palindrome (286568865682).

The spelling of 244313552240 in words is "two hundred forty-four billion, three hundred thirteen million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 2879 3130 3389 5008 5758 6260 6778 11516 12520 13556 14395 16945 23032 25040 27112 28790 33890 46064 54224 57580 67780 115160 135560 230320 271120 901127 1060757 1802254 2121514 3604508 4243028 4505635 5303785 7209016 8486056 9011270 9756931 10607570 14418032 16972112 18022540 19513862 21215140 36045080 39027724 42430280 48784655 72090160 78055448 84860560 97569310 156110896 195138620 390277240 780554480 3053919403 6107838806 12215677612 15269597015 24431355224 30539194030 48862710448 61078388060 122156776120 244313552240