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1336442641 = 17229181881
BaseRepresentation
bin100111110101000…
…0111111100010001
310110010202022122121
41033222013330101
510214112131031
6340340334241
745055401142
oct11752077421
93403668577
101336442641
11626429156
123136a4381
13183b57581
14c96c9ac9
157c4dd011
hex4fa87f11

1336442641 has 24 divisors (see below), whose sum is σ = 1478426040. Its totient is φ = 1206374400.

The previous prime is 1336442633. The next prime is 1336442659. The reversal of 1336442641 is 1462446331.

It can be written as a sum of positive squares in 12 ways, for example, as 428324416 + 908118225 = 20696^2 + 30135^2 .

It is not a de Polignac number, because 1336442641 - 23 = 1336442633 is a prime.

It is a super-3 number, since 3×13364426413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1336442597 and 1336442606.

It is not an unprimeable number, because it can be changed into a prime (1336442671) 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 23 ways as a sum of consecutive naturals, for example, 1516521 + ... + 1517401.

It is an arithmetic number, because the mean of its divisors is an integer number (61601085).

Almost surely, 21336442641 is an apocalyptic number.

It is an amenable number.

1336442641 is a deficient number, since it is larger than the sum of its proper divisors (141983399).

1336442641 is a wasteful number, since it uses less digits than its factorization.

1336442641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 1336442641 is about 36557.3883230189. The cubic root of 1336442641 is about 1101.4973110853.

Adding to 1336442641 its reverse (1462446331), we get a palindrome (2798888972).

The spelling of 1336442641 in words is "one billion, three hundred thirty-six million, four hundred forty-two thousand, six hundred forty-one".

Divisors: 1 17 29 181 289 493 881 3077 5249 8381 14977 25549 52309 89233 159461 254609 434333 1516961 2710837 4624369 7383661 46084229 78614273 1336442641