Search a number
-
+
4244241310340 = 2254143311953589
BaseRepresentation
bin111101110000110000011…
…111101110001010000100
3120000202010110210210221012
4331300300133232022010
51024014201233412330
613005435540541352
7615431153615153
oct75606037561204
916022113723835
104244241310340
111396a77633069
1258668b9b1858
1324a2cbaaac45
141095cadd959a
1575608455c95
hex3dc307ee284

4244241310340 has 48 divisors (see below), whose sum is σ = 9151381617840. Its totient is φ = 1652464005120.

The previous prime is 4244241310327. The next prime is 4244241310481. The reversal of 4244241310340 is 430131424424.

4244241310340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 373350328576 + 3870890981764 = 611024^2 + 1967458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4244241310297 and 4244241310306.

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, 5621735 + ... + 6331854.

It is an arithmetic number, because the mean of its divisors is an integer number (190653783705).

Almost surely, 24244241310340 is an apocalyptic number.

It is an amenable number.

4244241310340 is an abundant number, since it is smaller than the sum of its proper divisors (4907140307500).

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

4244241310340 is a wasteful number, since it uses less digits than its factorization.

4244241310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954072 (or 11954070 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4244241310340 its reverse (430131424424), we get a palindrome (4674372734764).

The spelling of 4244241310340 in words is "four trillion, two hundred forty-four billion, two hundred forty-one million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 433 820 866 1732 2165 4330 8660 17753 35506 71012 88765 177530 355060 11953589 23907178 47814356 59767945 119535890 239071780 490097149 980194298 1960388596 2450485745 4900971490 5175904037 9801942980 10351808074 20703616148 25879520185 51759040370 103518080740 212212065517 424424131034 848848262068 1061060327585 2122120655170 4244241310340