Search a number
-
+
14380765137 = 3317229103617
BaseRepresentation
bin11010110010010100…
…10000111111010001
31101010012221120011000
431121022100333101
5213422433441022
610334553412213
71016240325654
oct153112207721
941105846130
1014380765137
11610a626772
12295410a069
1314824773ab
149a5cb189b
155927976ac
hex359290fd1

14380765137 has 96 divisors (see below), whose sum is σ = 23677804800. Its totient is φ = 8613513216.

The previous prime is 14380765097. The next prime is 14380765141. The reversal of 14380765137 is 73156708341.

14380765137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14380765137 - 216 = 14380699601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14380765092 and 14380765101.

It is not an unprimeable number, because it can be changed into a prime (14380765177) 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 95 ways as a sum of consecutive naturals, for example, 23307253 + ... + 23307869.

It is an arithmetic number, because the mean of its divisors is an integer number (246643800).

Almost surely, 214380765137 is an apocalyptic number.

14380765137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14380765137 is a deficient number, since it is larger than the sum of its proper divisors (9297039663).

14380765137 is a wasteful number, since it uses less digits than its factorization.

14380765137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 14380765137 in words is "fourteen billion, three hundred eighty million, seven hundred sixty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 27 29 51 87 103 153 261 289 309 459 493 617 783 867 927 1479 1751 1851 2601 2781 2987 4437 5253 5553 7803 8381 8961 10489 13311 15759 16659 17893 25143 26883 29767 31467 47277 50779 53679 63551 75429 80649 89301 94401 152337 161037 178313 190653 226287 267903 283203 304181 457011 483111 534939 571959 803709 863243 912543 1080367 1371033 1604817 1715877 1842979 2589729 2737629 3241101 4814451 5171077 5528937 7769187 8212887 9723303 15513231 16586811 18366239 23307561 29169909 31330643 46539693 49760433 55098717 93991929 139619079 165296151 281975787 495888453 532620931 845927361 1597862793 4793588379 14380765137