Search a number
-
+
1314705353 = 131710954577
BaseRepresentation
bin100111001011100…
…1100111111001001
310101121211221200212
41032113030333021
510143031032403
6334242410505
744402545133
oct11627147711
93347757625
101314705353
11615131655
12308360a35
1317c4b6480
14c686c053
157a6474d8
hex4e5ccfc9

1314705353 has 16 divisors (see below), whose sum is σ = 1512902160. Its totient is φ = 1131687936.

The previous prime is 1314705299. The next prime is 1314705373. The reversal of 1314705353 is 3535074131.

It can be written as a sum of positive squares in 8 ways, for example, as 4048144 + 1310657209 = 2012^2 + 36203^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314705353 - 28 = 1314705097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314705373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3200 + ... + 51377.

It is an arithmetic number, because the mean of its divisors is an integer number (94556385).

Almost surely, 21314705353 is an apocalyptic number.

1314705353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314705353 is a deficient number, since it is larger than the sum of its proper divisors (198196807).

1314705353 is a wasteful number, since it uses less digits than its factorization.

1314705353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54716.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 1314705353 is about 36258.8658537467. The cubic root of 1314705353 is about 1095.4926726644.

Adding to 1314705353 its reverse (3535074131), we get a palindrome (4849779484).

The spelling of 1314705353 in words is "one billion, three hundred fourteen million, seven hundred five thousand, three hundred fifty-three".

Divisors: 1 13 17 109 221 1417 1853 24089 54577 709501 927809 5948893 12061517 77335609 101131181 1314705353