Search a number
-
+
1314112305441 = 313293316075783
BaseRepresentation
bin10011000111110111001…
…100100111100100100001
311122121221202010211220110
4103013313030213210201
5133012300222233231
62443410031201533
7163640633203125
oct23076714474441
94577852124813
101314112305441
11467348157141
121928256762a9
1396bc6a67b30
1447863937585
15242b2d3e046
hex131f7327921

1314112305441 has 64 divisors (see below), whose sum is σ = 1961458974720. Its totient is φ = 777023089920.

The previous prime is 1314112305413. The next prime is 1314112305449. The reversal of 1314112305441 is 1445032114131.

It is a happy number.

It is not a de Polignac number, because 1314112305441 - 26 = 1314112305377 is a prime.

It is a super-2 number, since 2×13141123054412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314112305399 and 1314112305408.

It is not an unprimeable number, because it can be changed into a prime (1314112305449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227234236 + ... + 227240018.

It is an arithmetic number, because the mean of its divisors is an integer number (30647796480).

Almost surely, 21314112305441 is an apocalyptic number.

It is an amenable number.

1314112305441 is a deficient number, since it is larger than the sum of its proper divisors (647346669279).

1314112305441 is a wasteful number, since it uses less digits than its factorization.

1314112305441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1314112305441 its reverse (1445032114131), we get a palindrome (2759144419572).

The spelling of 1314112305441 in words is "one trillion, three hundred fourteen billion, one hundred twelve million, three hundred five thousand, four hundred forty-one".

Divisors: 1 3 13 29 39 87 331 377 607 993 1131 1821 4303 5783 7891 9599 12909 17349 17603 23673 28797 52809 75179 124787 167707 200917 225537 228839 374361 503121 602751 686517 1914173 2180191 2611921 3510281 5742519 5826593 6540573 7835763 10530843 17479779 24884249 45633653 55511017 74652747 75745709 101798149 136900959 166533051 227237127 305394447 721643221 1161903011 1323375937 2164929663 3485709033 3970127811 15104739143 33695187319 45314217429 101085561957 438037435147 1314112305441