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338311285045 = 5734332140601
BaseRepresentation
bin1001110110001001110…
…11001000100100110101
31012100020111100221211021
410323010323020210311
521020330142110140
6415230144541141
733304445322046
oct4730473104465
91170214327737
10338311285045
1112052799a848
12556979217b1
1325b97086346
14125353248cd
158c00cc0b4a
hex4ec4ec8935

338311285045 has 16 divisors (see below), whose sum is σ = 412485442992. Its totient is φ = 266324889600.

The previous prime is 338311285007. The next prime is 338311285051. The reversal of 338311285045 is 540582113833.

It can be written as a sum of positive squares in 8 ways, for example, as 121153421041 + 217157864004 = 348071^2 + 466002^2 .

It is not a de Polignac number, because 338311285045 - 221 = 338309187893 is a prime.

It is a super-2 number, since 2×3383112850452 (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 = 338311284992 and 338311285010.

It is a congruent number.

It is an unprimeable number.

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, 912256 + ... + 1228345.

It is an arithmetic number, because the mean of its divisors is an integer number (25780340187).

Almost surely, 2338311285045 is an apocalyptic number.

It is an amenable number.

338311285045 is a deficient number, since it is larger than the sum of its proper divisors (74174157947).

338311285045 is a wasteful number, since it uses less digits than its factorization.

338311285045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141112.

The product of its (nonzero) digits is 345600, while the sum is 43.

Adding to 338311285045 its reverse (540582113833), we get a palindrome (878893398878).

The spelling of 338311285045 in words is "three hundred thirty-eight billion, three hundred eleven million, two hundred eighty-five thousand, forty-five".

Divisors: 1 5 73 365 433 2165 31609 158045 2140601 10703005 156263873 781319365 926880233 4634401165 67662257009 338311285045