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241020321344 = 2611499686089
BaseRepresentation
bin1110000001110111101…
…1100011111001000000
3212001010010020220202022
43200131323203321000
512422102200240334
6302420113541012
723261464633415
oct3403573437100
9761103226668
10241020321344
1193241762820
123a865274768
13199608a537a
14b945daa10c
15640980382e
hex381dee3e40

241020321344 has 56 divisors (see below), whose sum is σ = 522800580000. Its totient is φ = 109334983680.

The previous prime is 241020321341. The next prime is 241020321359. The reversal of 241020321344 is 443123020142.

241020321344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241020321341) 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 7 ways as a sum of consecutive naturals, for example, 8252 + ... + 694340.

Almost surely, 2241020321344 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 241020321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261400290000).

241020321344 is an abundant number, since it is smaller than the sum of its proper divisors (281780258656).

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

241020321344 is a wasteful number, since it uses less digits than its factorization.

241020321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686611 (or 686601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 241020321344 its reverse (443123020142), we get a palindrome (684143341486).

The spelling of 241020321344 in words is "two hundred forty-one billion, twenty million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 499 704 998 1996 3992 5489 7984 10978 15968 21956 31936 43912 87824 175648 351296 686089 1372178 2744356 5488712 7546979 10977424 15093958 21954848 30187916 43909696 60375832 120751664 241503328 342358411 483006656 684716822 1369433644 2738867288 3765942521 5477734576 7531885042 10955469152 15063770084 21910938304 30127540168 60255080336 120510160672 241020321344