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41332012044012 = 223219418958728211
BaseRepresentation
bin10010110010111010110111…
…11001010100111011101100
312102100022010222120210102100
421121131123321110323230
520404140430040402022
6223523355245055100
711464065534440454
oct1131353371247354
9172308128523370
1041332012044012
1112195898303788
124776507257490
131a0a79085a381
14a2c6a13c0d64
154ba21920c1ac
hex25975be54eec

41332012044012 has 288 divisors, whose sum is σ = 114123317817600. Its totient is φ = 12568895539200.

The previous prime is 41332012043939. The next prime is 41332012044041. The reversal of 41332012044012 is 21044021023314.

41332012044012 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 201 + 2 + 0 + 440 + 12 = 666.

It is a super-2 number, since 2×413320120440122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1465088587 + ... + 1465116797.

It is an arithmetic number, because the mean of its divisors is an integer number (396261520200).

Almost surely, 241332012044012 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 41332012044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57061658908800).

41332012044012 is an abundant number, since it is smaller than the sum of its proper divisors (72791305773588).

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

41332012044012 is a wasteful number, since it uses less digits than its factorization.

41332012044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28957 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41332012044012 its reverse (21044021023314), we get a palindrome (62376033067326).

The spelling of 41332012044012 in words is "forty-one trillion, three hundred thirty-two billion, twelve million, forty-four thousand, twelve".