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41440344220220 = 225111971994804867
BaseRepresentation
bin10010110110000100101001…
…11111110010001000111100
312102201122202211200112122212
421123002110333302020330
520412424311110021340
6224045233055355552
711504652234650051
oct1133022477621074
9172648684615585
1041440344220220
1112227829a68120
1247934bb522bb8
131a17a6666539a
14a33a1ac97028
154bce59ba9a65
hex25b094ff223c

41440344220220 has 96 divisors (see below), whose sum is σ = 95897477491200. Its totient is φ = 14917379178240.

The previous prime is 41440344220217. The next prime is 41440344220267. The reversal of 41440344220220 is 2202244304414.

41440344220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6222227 + ... + 11027093.

It is an arithmetic number, because the mean of its divisors is an integer number (998932057200).

Almost surely, 241440344220220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41440344220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948738745600).

41440344220220 is an abundant number, since it is smaller than the sum of its proper divisors (54457133270980).

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

41440344220220 is a wasteful number, since it uses less digits than its factorization.

41440344220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805283 (or 4805281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 41440344220220 its reverse (2202244304414), we get a palindrome (43642588524634).

The spelling of 41440344220220 in words is "forty-one trillion, four hundred forty billion, three hundred forty-four million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 199 220 394 398 788 796 985 995 1970 1990 2167 2189 3940 3980 4334 4378 8668 8756 10835 10945 21670 21890 39203 43340 43780 78406 156812 196015 392030 431233 784060 862466 1724932 2156165 4312330 4804867 8624660 9609734 19219468 24024335 48048670 52853537 96097340 105707074 211414148 264267685 528535370 946558799 956168533 1057070740 1893117598 1912337066 3786235196 3824674132 4732793995 4780842665 9465587990 9561685330 10412146789 10517853863 18931175980 19123370660 20824293578 21035707726 41648587156 42071415452 52060733945 52589269315 104121467890 105178538630 188365201001 208242935780 210357077260 376730402002 753460804004 941826005005 1883652010010 2072017211011 3767304020020 4144034422022 8288068844044 10360086055055 20720172110110 41440344220220