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1314717313 = 71314447443
BaseRepresentation
bin100111001011100…
…1111111010000001
310101121212120002211
41032113033322001
510143031423223
6334242542121
744402625040
oct11627177201
93347776084
101314717313
1161513a638
12308367941
1317c4bba50
14c6872557
157a64ad0d
hex4e5cfe81

1314717313 has 8 divisors (see below), whose sum is σ = 1618113728. Its totient is φ = 1040215824.

The previous prime is 1314717307. The next prime is 1314717317. The reversal of 1314717313 is 3137174131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1314717313 - 221 = 1312620161 is a prime.

It is a super-3 number, since 3×13147173133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1314717317) 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 7 ways as a sum of consecutive naturals, for example, 7223631 + ... + 7223812.

It is an arithmetic number, because the mean of its divisors is an integer number (202264216).

Almost surely, 21314717313 is an apocalyptic number.

1314717313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314717313 is a deficient number, since it is larger than the sum of its proper divisors (303396415).

1314717313 is a wasteful number, since it uses less digits than its factorization.

1314717313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447463.

The product of its digits is 5292, while the sum is 31.

The square root of 1314717313 is about 36259.0307785523. The cubic root of 1314717313 is about 1095.4959945881.

The spelling of 1314717313 in words is "one billion, three hundred fourteen million, seven hundred seventeen thousand, three hundred thirteen".

Divisors: 1 7 13 91 14447443 101132101 187816759 1314717313