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314104135501 = 131711291258889
BaseRepresentation
bin1001001001000100001…
…00001011111101001101
31010000202110100100101001
410210202010023331031
520121241124314001
6400144125420301
731456536046042
oct4444204137515
91100673310331
10314104135501
11111235661032
1250a60a0a691
1323809b9b710
14112ba3a51c9
158285a12001
hex492210bf4d

314104135501 has 16 divisors (see below), whose sum is σ = 358481516400. Its totient is φ = 272644927488.

The previous prime is 314104135487. The next prime is 314104135507. The reversal of 314104135501 is 105531401413.

It can be written as a sum of positive squares in 8 ways, for example, as 515335401 + 313588800100 = 22701^2 + 559990^2 .

It is a cyclic number.

It is not a de Polignac number, because 314104135501 - 215 = 314104102733 is a prime.

It is a super-2 number, since 2×3141041355012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314104135501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314104135507) 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, 379936 + ... + 878953.

It is an arithmetic number, because the mean of its divisors is an integer number (22405094775).

Almost surely, 2314104135501 is an apocalyptic number.

It is an amenable number.

314104135501 is a deficient number, since it is larger than the sum of its proper divisors (44377380899).

314104135501 is a wasteful number, since it uses less digits than its factorization.

314104135501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260048.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 314104135501 its reverse (105531401413), we get a palindrome (419635536914).

The spelling of 314104135501 in words is "three hundred fourteen billion, one hundred four million, one hundred thirty-five thousand, five hundred one".

Divisors: 1 13 17 221 1129 14677 19193 249509 1258889 16365557 21401113 278214469 1421285681 18476713853 24161856577 314104135501