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41000000041 = 71113194152579
BaseRepresentation
bin100110001011110010…
…100101101000101001
310220211100201210200001
4212023302211220221
51132432000000131
630500220143001
72651006151550
oct461362455051
9126740653601
1041000000041
111642a481960
127b42997a61
133b352bc770
141dad318d97
1510ee6b8261
hex98bca5a29

41000000041 has 64 divisors (see below), whose sum is σ = 59360716800. Its totient is φ = 27256435200.

The previous prime is 41000000021. The next prime is 41000000051. The reversal of 41000000041 is 14000000014.

It is a cyclic number.

It is not a de Polignac number, because 41000000041 - 223 = 40991611433 is a prime.

It is a deceptive number, since it divides R41000000040.

It is a junction number, because it is equal to n+sod(n) for n = 40999999964 and 41000000027.

It is not an unprimeable number, because it can be changed into a prime (41000000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 753490 + ... + 806068.

It is an arithmetic number, because the mean of its divisors is an integer number (927511200).

Almost surely, 241000000041 is an apocalyptic number.

41000000041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41000000041 is a deficient number, since it is larger than the sum of its proper divisors (18360716759).

41000000041 is a wasteful number, since it uses less digits than its factorization.

41000000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52670.

The product of its (nonzero) digits is 16, while the sum is 10.

Multiplying 41000000041 by its product of nonzero digits (16), we get a palindrome (656000000656).

Adding to 41000000041 its reverse (14000000014), we get a palindrome (55000000055).

The spelling of 41000000041 in words is "forty-one billion, forty-one", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 41 77 91 133 143 209 247 287 451 533 779 1001 1463 1729 2717 3157 3731 5453 5863 8569 10127 19019 41041 52579 59983 70889 111397 368053 578369 683527 779779 999001 2155739 4048583 4784689 6993007 7518797 10989011 12987013 15090173 23713129 28024607 40959041 52631579 76923077 90909091 142857143 165991903 196172249 286713287 308270677 450549451 532467533 1000000001 2157894739 3153846157 3727272731 5857142863 41000000041