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244323300040 = 23571787109313
BaseRepresentation
bin1110001110001011001…
…1011011001011001000
3212100122022101121201121
43203202303123023020
513000333231100130
6304123544125024
723436362533051
oct3434263331310
9770568347647
10244323300040
1194687151586
123b427466774
131a068c8b431
14bb7a91d728
15654e793d7a
hex38e2cdb2c8

244323300040 has 64 divisors (see below), whose sum is σ = 558183519360. Its totient is φ = 96229539840.

The previous prime is 244323300031. The next prime is 244323300041. The reversal of 244323300040 is 40003323442.

244323300040 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 = 244323299978 and 244323300014.

It is not an unprimeable number, because it can be changed into a prime (244323300041) 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, 2180424 + ... + 2289736.

It is an arithmetic number, because the mean of its divisors is an integer number (8721617490).

Almost surely, 2244323300040 is an apocalyptic number.

244323300040 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 244323300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279091759680).

244323300040 is an abundant number, since it is smaller than the sum of its proper divisors (313860219320).

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

244323300040 is a wasteful number, since it uses less digits than its factorization.

244323300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110182 (or 110178 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 244323300040 its reverse (40003323442), we get a palindrome (284326623482).

The spelling of 244323300040 in words is "two hundred forty-four billion, three hundred twenty-three million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 787 1420 1574 2840 3148 3935 6296 7870 15740 31480 55877 109313 111754 218626 223508 279385 437252 447016 546565 558770 874504 1093130 1117540 2186260 2235080 4372520 7761223 15522446 31044892 38806115 62089784 77612230 86029331 155224460 172058662 310448920 344117324 430146655 688234648 860293310 1720586620 3441173240 6108082501 12216165002 24432330004 30540412505 48864660008 61080825010 122161650020 244323300040