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44424000200 = 23524127119991
BaseRepresentation
bin101001010111111000…
…000111001011001000
311020122222121000212202
4221113320013023020
51211440021001300
632224052255332
73131603525366
oct512770071310
9136588530782
1044424000200
111792720a958
128739611548
13425c799668
142215d72636
1512500b1ad5
hexa57e072c8

44424000200 has 96 divisors (see below), whose sum is σ = 106200702720. Its totient is φ = 17271360000.

The previous prime is 44424000197. The next prime is 44424000217. The reversal of 44424000200 is 200042444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2212205 + ... + 2232195.

It is an arithmetic number, because the mean of its divisors is an integer number (1106257320).

Almost surely, 244424000200 is an apocalyptic number.

44424000200 is a gapful number since it is divisible by the number (40) 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 44424000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53100351360).

44424000200 is an abundant number, since it is smaller than the sum of its proper divisors (61776702520).

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

44424000200 is a wasteful number, since it uses less digits than its factorization.

44424000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20319 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44424000200 its reverse (200042444), we get a palindrome (44624042644).

The spelling of 44424000200 in words is "forty-four billion, four hundred twenty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2710 4100 5420 6775 8200 10840 11111 13550 19991 22222 27100 39982 44444 54200 55555 79964 88888 99955 111110 159928 199910 222220 277775 399820 444440 499775 555550 799640 819631 999550 1111100 1639262 1999100 2222200 3278524 3998200 4098155 5417561 6557048 8196310 10835122 16392620 20490775 21670244 27087805 32785240 40981550 43340488 54175610 81963100 108351220 135439025 163926200 216702440 222120001 270878050 444240002 541756100 888480004 1083512200 1110600005 1776960008 2221200010 4442400020 5553000025 8884800040 11106000050 22212000100 44424000200