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1314485118 = 233175327017
BaseRepresentation
bin100111001011001…
…0111001101111110
310101121102202121000
41032112113031332
510143002010433
6334233551130
744400640062
oct11626271576
93347382530
101314485118
11614aa1141
123082754a6
1317c43a15b
14c6811aa2
157a602113
hex4e59737e

1314485118 has 64 divisors (see below), whose sum is σ = 3151379520. Its totient is φ = 404591616.

The previous prime is 1314485099. The next prime is 1314485119. The reversal of 1314485118 is 8115844131.

1314485118 is a `hidden beast` number, since 131 + 4 + 4 + 8 + 511 + 8 = 666.

It is a super-2 number, since 2×13144851182 = 3455742250886947848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314485119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35146 + ... + 62162.

It is an arithmetic number, because the mean of its divisors is an integer number (49240305).

Almost surely, 21314485118 is an apocalyptic number.

1314485118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314485118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575689760).

1314485118 is an abundant number, since it is smaller than the sum of its proper divisors (1836894402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314485118 is a wasteful number, since it uses less digits than its factorization.

1314485118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27098 (or 27092 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1314485118 is about 36255.8287451825. The cubic root of 1314485118 is about 1095.4314981710.

The spelling of 1314485118 in words is "one billion, three hundred fourteen million, four hundred eighty-five thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 306 318 459 477 901 918 954 1431 1802 2703 2862 5406 8109 16218 24327 27017 48654 54034 81051 162102 243153 459289 486306 729459 918578 1377867 1431901 1458918 2755734 2863802 4133601 4295703 8267202 8591406 12400803 12887109 24342317 24801606 25774218 38661327 48684634 73026951 77322654 146053902 219080853 438161706 657242559 1314485118