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24442244420 = 2251131019091
BaseRepresentation
bin10110110000110111…
…110000110101000100
32100002102101122222212
4112300313300311010
5400024203310140
615121214042552
71523462435546
oct266067606504
970072348885
1024442244420
11a403012000
1248a17a9458
1323c6b0bc29
14127c279696
15980c4b765
hex5b0df0d44

24442244420 has 96 divisors (see below), whose sum is σ = 57022987392. Its totient is φ = 8799120000.

The previous prime is 24442244401. The next prime is 24442244429. The reversal of 24442244420 is 2444224442.

It is a super-2 number, since 2×244422444202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24442244429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2684075 + ... + 2693165.

It is an arithmetic number, because the mean of its divisors is an integer number (593989452).

Almost surely, 224442244420 is an apocalyptic number.

24442244420 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 24442244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28511493696).

24442244420 is an abundant number, since it is smaller than the sum of its proper divisors (32580742972).

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

24442244420 is a wasteful number, since it uses less digits than its factorization.

24442244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9210 counting only the distinct ones).

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

Adding to 24442244420 its reverse (2444224442), we get a palindrome (26886468862).

It can be divided in two parts, 24442 and 244420, that added together give a palindrome (268862).

The spelling of 24442244420 in words is "twenty-four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 1331 2020 2222 2420 2662 4444 5324 5555 6655 9091 11110 12221 13310 18182 22220 24442 26620 36364 45455 48884 61105 90910 100001 122210 134431 181820 200002 244420 268862 400004 500005 537724 672155 918191 1000010 1100011 1344310 1836382 2000020 2200022 2688620 3672764 4400044 4590955 5500055 9181910 10100101 11000110 12100121 18363820 20200202 22000220 24200242 40400404 48400484 50500505 60500605 101001010 111101111 121001210 202002020 222202222 242002420 444404444 555505555 1111011110 1222112221 2222022220 2444224442 4888448884 6110561105 12221122210 24442244420