Search a number
-
+
13820143875 = 35351717127
BaseRepresentation
bin11001101111011111…
…01010100100000011
31022200011001001100120
430313233222210003
5211300424101000
610203205351323
7666322166436
oct146757524403
938604031316
1013820143875
11595212470a
122818408543
1313c3288635
1495165981d
1555d4576a0
hex337bea903

13820143875 has 32 divisors (see below), whose sum is σ = 23004393984. Its totient is φ = 7368284000.

The previous prime is 13820143853. The next prime is 13820143879. The reversal of 13820143875 is 57834102831.

It is not a de Polignac number, because 13820143875 - 27 = 13820143747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13820143879) 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, 1935562 + ... + 1942688.

It is an arithmetic number, because the mean of its divisors is an integer number (718887312).

Almost surely, 213820143875 is an apocalyptic number.

13820143875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13820143875 is a deficient number, since it is larger than the sum of its proper divisors (9184250109).

13820143875 is an equidigital number, since it uses as much as digits as its factorization.

13820143875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13820143875 in words is "thirteen billion, eight hundred twenty million, one hundred forty-three thousand, eight hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 375 5171 7127 15513 21381 25855 35635 77565 106905 129275 178175 387825 534525 646375 890875 1939125 2672625 36853717 110561151 184268585 552805755 921342925 2764028775 4606714625 13820143875