Search a number
-
+
244032240040 = 23547823157721
BaseRepresentation
bin1110001101000101110…
…1000111100110101000
3212022220000201020110121
43203101131013212220
512444234223140130
6304035025453024
723426226546451
oct3432135074650
9768800636417
10244032240040
1194547923926
123b365aa1174
131a0208a0894
14bb4ddd6128
156533e4dd7a
hex38d17479a8

244032240040 has 64 divisors (see below), whose sum is σ = 561439848960. Its totient is φ = 95419338240.

The previous prime is 244032240031. The next prime is 244032240043. The reversal of 244032240040 is 40042230442.

244032240040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244032239987 and 244032240014.

It is not an unprimeable number, because it can be changed into a prime (244032240043) 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 15 ways as a sum of consecutive naturals, for example, 1468380 + ... + 1626100.

It is an arithmetic number, because the mean of its divisors is an integer number (8772497640).

Almost surely, 2244032240040 is an apocalyptic number.

244032240040 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 244032240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280719924480).

244032240040 is an abundant number, since it is smaller than the sum of its proper divisors (317407608920).

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

244032240040 is a wasteful number, since it uses less digits than its factorization.

244032240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158602 (or 158598 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 244032240040 its reverse (40042230442), we get a palindrome (284074470482).

The spelling of 244032240040 in words is "two hundred forty-four billion, thirty-two million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 823 940 1646 1880 3292 4115 6584 8230 16460 32920 38681 77362 154724 157721 193405 309448 315442 386810 630884 773620 788605 1261768 1547240 1577210 3154420 6308840 7412887 14825774 29651548 37064435 59303096 74128870 129804383 148257740 259608766 296515480 519217532 649021915 1038435064 1298043830 2596087660 5192175320 6100806001 12201612002 24403224004 30504030005 48806448008 61008060010 122016120020 244032240040