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41256302014016 = 263717422424837
BaseRepresentation
bin10010110000101101110110…
…01110011110111001000000
312102002001201121210202221022
421120112323032132321000
520401420401303422031
6223424514500245012
711455445424006155
oct1130267316367100
9172061647722838
1041256302014016
1112166776a34661
1247638b80a0768
131a035b644265b
14a28b5c2bc22c
154b828769097b
hex2585bb39ee40

41256302014016 has 28 divisors (see below), whose sum is σ = 84080622268188. Its totient is φ = 20070633411072.

The previous prime is 41256302014007. The next prime is 41256302014049. The reversal of 41256302014016 is 61041020365214.

41256302014016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33673416294400 + 7582885719616 = 5802880^2 + 2753704^2 .

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 3 ways as a sum of consecutive naturals, for example, 8711210051 + ... + 8711214786.

It is an arithmetic number, because the mean of its divisors is an integer number (3002879366721).

Almost surely, 241256302014016 is an apocalyptic number.

It is an amenable number.

41256302014016 is an abundant number, since it is smaller than the sum of its proper divisors (42824320254172).

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

41256302014016 is a wasteful number, since it uses less digits than its factorization.

41256302014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17422424886 (or 17422424876 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 41256302014016 in words is "forty-one trillion, two hundred fifty-six billion, three hundred two million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 17422424837 34844849674 69689699348 139379398696 278758797392 557517594784 644629718969 1115035189568 1289259437938 2578518875876 5157037751752 10314075503504 20628151007008 41256302014016