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4141160040 = 233543379699
BaseRepresentation
bin1111011011010101…
…0001011001101000
3101200121022201121210
43312311101121220
531440114110130
61522531233120
7204423164613
oct36665213150
911617281553
104141160040
111835638916
12976a487a0
1350cc46a74
142b3dbb17a
1519385a5b0
hexf6d51668

4141160040 has 64 divisors (see below), whose sum is σ = 12452328000. Its totient is φ = 1101745152.

The previous prime is 4141160039. The next prime is 4141160041. The reversal of 4141160040 is 400611414.

It is an interprime number because it is at equal distance from previous prime (4141160039) and next prime (4141160041).

It is a junction number, because it is equal to n+sod(n) for n = 4141159989 and 4141160016.

It is not an unprimeable number, because it can be changed into a prime (4141160041) 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 15 ways as a sum of consecutive naturals, for example, 12111 + ... + 91809.

It is an arithmetic number, because the mean of its divisors is an integer number (194567625).

Almost surely, 24141160040 is an apocalyptic number.

4141160040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141160040 is an abundant number, since it is smaller than the sum of its proper divisors (8311167960).

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

4141160040 is a wasteful number, since it uses less digits than its factorization.

4141160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80146 (or 80142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4141160040 is about 64351.8456611774. The cubic root of 4141160040 is about 1605.8587343765.

Adding to 4141160040 its reverse (400611414), we get a palindrome (4541771454).

The spelling of 4141160040 in words is "four billion, one hundred forty-one million, one hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 433 866 1299 1732 2165 2598 3464 4330 5196 6495 8660 10392 12990 17320 25980 51960 79699 159398 239097 318796 398495 478194 637592 796990 956388 1195485 1593980 1912776 2390970 3187960 4781940 9563880 34509667 69019334 103529001 138038668 172548335 207058002 276077336 345096670 414116004 517645005 690193340 828232008 1035290010 1380386680 2070580020 4141160040