Search a number
-
+
244004330020 = 2251131193197941
BaseRepresentation
bin1110001100111111001…
…0101001101000100100
3212022211002012021010011
43203033302221220210
512444210102030040
6304032151340004
723425440404233
oct3431762515044
9768732167104
10244004330020
11945330a06a0
123b358681604
131a017b7ac89
14bb4a40cb1a
1565317893ea
hex38cfca9a24

244004330020 has 192 divisors, whose sum is σ = 583577229312. Its totient is φ = 84897792000.

The previous prime is 244004329991. The next prime is 244004330023. The reversal of 244004330020 is 20033400442.

244004330020 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 is a super-2 number, since 2×2440043300202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 244004329973 and 244004330000.

It is not an unprimeable number, because it can be changed into a prime (244004330023) 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 63 ways as a sum of consecutive naturals, for example, 259302750 + ... + 259303690.

It is an arithmetic number, because the mean of its divisors is an integer number (3039464736).

Almost surely, 2244004330020 is an apocalyptic number.

244004330020 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 244004330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291788614656).

244004330020 is an abundant number, since it is smaller than the sum of its proper divisors (339572899292).

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

244004330020 is a wasteful number, since it uses less digits than its factorization.

244004330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 244004330020 its reverse (20033400442), we get a palindrome (264037730462).

The spelling of 244004330020 in words is "two hundred forty-four billion, four million, three hundred thirty thousand, twenty".