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2440024444220 = 2251117653999101
BaseRepresentation
bin100011100000011100110…
…010100100110100111100
322122021010111110122121212
4203200130302210310330
5304434132224203340
65104533131543552
7341200036365566
oct43403462446474
98567114418555
102440024444220
11860899207560
12334a872babb8
1314912a0331ac
1486152584336
154370d5daa65
hex2381cca4d3c

2440024444220 has 96 divisors (see below), whose sum is σ = 5927760086976. Its totient is φ = 833808896000.

The previous prime is 2440024444219. The next prime is 2440024444223. The reversal of 2440024444220 is 224444200442.

It is a super-2 number, since 2×24400244442202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440024444223) 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 31 ways as a sum of consecutive naturals, for example, 1942670 + ... + 2941770.

It is an arithmetic number, because the mean of its divisors is an integer number (61747500906).

Almost surely, 22440024444220 is an apocalyptic number.

2440024444220 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 2440024444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963880043488).

2440024444220 is an abundant number, since it is smaller than the sum of its proper divisors (3487735642756).

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

2440024444220 is a wasteful number, since it uses less digits than its factorization.

2440024444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999791 (or 999789 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2440024444220 its reverse (224444200442), we get a palindrome (2664468644662).

The spelling of 2440024444220 in words is "two trillion, four hundred forty billion, twenty-four million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 653 748 935 1306 1870 2612 3265 3740 6530 7183 11101 13060 14366 22202 28732 35915 44404 55505 71830 111010 122111 143660 222020 244222 488444 610555 999101 1221110 1998202 2442220 3996404 4995505 9991010 10990111 16984717 19982020 21980222 33969434 43960444 54950555 67938868 84923585 109901110 169847170 186831887 219802220 339694340 373663774 652412953 747327548 934159435 1304825906 1868318870 2609651812 3262064765 3736637740 6524129530 7176542483 11091020201 13048259060 14353084966 22182040402 28706169932 35882712415 44364080804 55455101005 71765424830 110910202010 122001222211 143530849660 221820404020 244002444422 488004888844 610006111055 1220012222110 2440024444220