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244314545120 = 25515116362039
BaseRepresentation
bin1110001110001001001…
…0000001101111100000
3212100121200220211020022
43203202102001233200
513000324010420440
6304123032333012
723436225240362
oct3434222015740
9770550824208
10244314545120
1194682211908
123b424544168
131a0672144c9
14bb796c0d32
15654db14cb5
hex38e2481be0

244314545120 has 96 divisors (see below), whose sum is σ = 584589519360. Its totient is φ = 96481497600.

The previous prime is 244314545099. The next prime is 244314545179. The reversal of 244314545120 is 21545413442.

It is a happy number.

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, 3907061 + ... + 3969099.

It is an arithmetic number, because the mean of its divisors is an integer number (6089474160).

Almost surely, 2244314545120 is an apocalyptic number.

244314545120 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 244314545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292294759680).

244314545120 is an abundant number, since it is smaller than the sum of its proper divisors (340274974240).

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

244314545120 is a wasteful number, since it uses less digits than its factorization.

244314545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62368 (or 62360 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 244314545120 its reverse (21545413442), we get a palindrome (265859958562).

The spelling of 244314545120 in words is "two hundred forty-four billion, three hundred fourteen million, five hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 163 302 326 604 652 755 815 1208 1304 1510 1630 2416 2608 3020 3260 4832 5216 6040 6520 12080 13040 24160 24613 26080 49226 62039 98452 123065 124078 196904 246130 248156 310195 393808 492260 496312 620390 787616 984520 992624 1240780 1969040 1985248 2481560 3938080 4963120 9367889 9926240 10112357 18735778 20224714 37471556 40449428 46839445 50561785 74943112 80898856 93678890 101123570 149886224 161797712 187357780 202247140 299772448 323595424 374715560 404494280 749431120 808988560 1498862240 1526965907 1617977120 3053931814 6107863628 7634829535 12215727256 15269659070 24431454512 30539318140 48862909024 61078636280 122157272560 244314545120