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244141204240 = 24511092751817
BaseRepresentation
bin1110001101011111110…
…0110010001100010000
3212100011121202012020201
43203113330302030100
513000000122013430
6304053521144544
723432021665363
oct3432774621420
9770147665221
10244141204240
11945a338828a
123b39648b154
131a03a33263b
14bb6067c0da
15653d7c48ca
hex38d7f32310

244141204240 has 40 divisors (see below), whose sum is σ = 568140344280. Its totient is φ = 97568388096.

The previous prime is 244141204231. The next prime is 244141204259. The reversal of 244141204240 is 42402141442.

It is a happy number.

244141204240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3527409664 + 240613794576 = 59392^2 + 490524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 244141204199 and 244141204208.

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 7 ways as a sum of consecutive naturals, for example, 1287189 + ... + 1464628.

It is an arithmetic number, because the mean of its divisors is an integer number (14203508607).

Almost surely, 2244141204240 is an apocalyptic number.

244141204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244141204240 is an abundant number, since it is smaller than the sum of its proper divisors (323999140040).

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

244141204240 is a wasteful number, since it uses less digits than its factorization.

244141204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752939 (or 2752933 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 244141204240 its reverse (42402141442), we get a palindrome (286543345682).

The spelling of 244141204240 in words is "two hundred forty-four billion, one hundred forty-one million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1109 2218 4436 5545 8872 11090 17744 22180 44360 88720 2751817 5503634 11007268 13759085 22014536 27518170 44029072 55036340 110072680 220145360 3051765053 6103530106 12207060212 15258825265 24414120424 30517650530 48828240848 61035301060 122070602120 244141204240