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335364405041 = 29157280126297
BaseRepresentation
bin1001110000101010100…
…01101011011100110001
31012001122010021221102102
410320111101223130301
520443311241430131
6414021515030145
733141433260131
oct4702521533461
91161563257372
10335364405041
1111a255511226
1254bb4a3b355
13258176b0373
1412335bc8ac1
158acc2211cb
hex4e1546b731

335364405041 has 16 divisors (see below), whose sum is σ = 349276361040. Its totient is φ = 321610598400.

The previous prime is 335364405023. The next prime is 335364405067. The reversal of 335364405041 is 140504463533.

It can be written as a sum of positive squares in 8 ways, for example, as 3496238641 + 331868166400 = 59129^2 + 576080^2 .

It is a cyclic number.

It is not a de Polignac number, because 335364405041 - 210 = 335364404017 is a prime.

It is a super-2 number, since 2×3353644050412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 335364404986 and 335364405004.

It is not an unprimeable number, because it can be changed into a prime (335364405011) 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 15 ways as a sum of consecutive naturals, for example, 12739805 + ... + 12766101.

It is an arithmetic number, because the mean of its divisors is an integer number (21829772565).

Almost surely, 2335364405041 is an apocalyptic number.

It is an amenable number.

335364405041 is a deficient number, since it is larger than the sum of its proper divisors (13911955999).

335364405041 is a wasteful number, since it uses less digits than its factorization.

335364405041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29284.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 335364405041 its reverse (140504463533), we get a palindrome (475868868574).

The spelling of 335364405041 in words is "three hundred thirty-five billion, three hundred sixty-four million, four hundred five thousand, forty-one".

Divisors: 1 29 157 2801 4553 26297 81229 439757 762613 4128629 12752953 73657897 119730241 2136079013 11564289829 335364405041