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41540163201 = 3419431633851
BaseRepresentation
bin100110101011111111…
…001001011010000001
310222020000010221020000
4212223333021122001
51140033240210301
631025553510213
73000255363345
oct465377113201
9128200127200
1041540163201
1116687380499
128073872369
133bc0197734
142020d67625
151131d16786
hex9abfc9681

41540163201 has 80 divisors (see below), whose sum is σ = 67266397440. Its totient is φ = 25461928800.

The previous prime is 41540163167. The next prime is 41540163227. The reversal of 41540163201 is 10236104514.

It is a happy number.

41540163201 is a `hidden beast` number, since 41 + 540 + 1 + 63 + 20 + 1 = 666.

It is not a de Polignac number, because 41540163201 - 211 = 41540161153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41540163271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10784926 + ... + 10788776.

It is an arithmetic number, because the mean of its divisors is an integer number (840829968).

Almost surely, 241540163201 is an apocalyptic number.

It is an amenable number.

41540163201 is a deficient number, since it is larger than the sum of its proper divisors (25726234239).

41540163201 is a wasteful number, since it uses less digits than its factorization.

41540163201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41540163201 its reverse (10236104514), we get a palindrome (51776267715).

The spelling of 41540163201 in words is "forty-one billion, five hundred forty million, one hundred sixty-three thousand, two hundred one".

Divisors: 1 3 9 19 27 43 57 81 129 163 171 387 489 513 817 1161 1467 1539 2451 3097 3483 3851 4401 7009 7353 9291 11553 13203 21027 22059 27873 34659 63081 66177 73169 83619 103977 133171 165593 189243 219507 250857 311931 399513 496779 567729 627713 658521 1198539 1490337 1883139 1975563 3146267 3595617 4471011 5649417 5926689 9438801 10786851 11926547 13413033 16948251 26991659 28316403 35779641 50844753 80974977 84949209 107338923 242924931 254847627 322016769 512841521 728774793 966050307 1538524563 2186324379 4615573689 13846721067 41540163201