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41445544424320 = 275971411116223
BaseRepresentation
bin10010110110001110010101…
…11100111111001110000000
312102202011012020210021121201
421123013022330333032000
520413020433333034240
6224051453102030544
711505225140652001
oct1133071274771600
9172664166707551
1041445544424320
1112229a58387463
124794510b78454
131a183b4b2012a
14a33d917911a8
154bd1614aad9a
hex25b1caf3f380

41445544424320 has 128 divisors (see below), whose sum is σ = 99213035950080. Its totient is φ = 16556095334400.

The previous prime is 41445544424261. The next prime is 41445544424321. The reversal of 41445544424320 is 2342444554414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41445544424321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554731729 + ... + 2554747951.

It is an arithmetic number, because the mean of its divisors is an integer number (775101843360).

Almost surely, 241445544424320 is an apocalyptic number.

41445544424320 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 41445544424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606517975040).

41445544424320 is an abundant number, since it is smaller than the sum of its proper divisors (57767491525760).

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

41445544424320 is a wasteful number, since it uses less digits than its factorization.

41445544424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21324 (or 21312 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 46.

Adding to 41445544424320 its reverse (2342444554414), we get a palindrome (43787988978734).

The spelling of 41445544424320 in words is "forty-one trillion, four hundred forty-five billion, five hundred forty-four million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 971 1942 3884 4111 4855 7768 8222 9710 15536 16223 16444 19420 20555 31072 32446 32888 38840 41110 62144 64892 65776 77680 81115 82220 124288 129784 131552 155360 162230 164440 259568 263104 310720 324460 328880 519136 526208 621440 648920 657760 1038272 1297840 1315520 2076544 2595680 2631040 3991781 5191360 7983562 10382720 15752533 15967124 19958905 31505066 31934248 39917810 63010132 63868496 66692753 78762665 79835620 126020264 127736992 133385506 157525330 159671240 252040528 255473984 266771012 315050660 319342480 333463765 504081056 510947968 533542024 630101320 638684960 666927530 1008162112 1067084048 1260202640 1277369920 1333855060 2016324224 2134168096 2520405280 2554739840 2667710120 4268336192 5040810560 5335420240 8536672384 10081621120 10670840480 21341680960 42683361920 64758663163 129517326326 259034652652 323793315815 518069305304 647586631630 1036138610608 1295173263260 2072277221216 2590346526520 4144554442432 5180693053040 8289108884864 10361386106080 20722772212160 41445544424320