Search a number
-
+
17143145746017 = 317336140112667
BaseRepresentation
bin1111100101110111001100…
…0111001100111001100001
32020200212110022011120020120
43321131303013030321201
54221333130302333032
6100243241420430453
73416360063361144
oct371356307147141
966625408146216
1017143145746017
11550a404941aa5
121b0a5589a8429
1397478cc99bc5
14433a3869805b
151eadec5e662c
hexf97731cce61

17143145746017 has 8 divisors (see below), whose sum is σ = 24202088112096. Its totient is φ = 10756483605312.

The previous prime is 17143145745931. The next prime is 17143145746019. The reversal of 17143145746017 is 71064754134171.

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

It is not a de Polignac number, because 17143145746017 - 222 = 17143141551713 is a prime.

It is a super-3 number, since 3×171431457460173 (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 336140112667 = 17143145746017 / (1 + 7 + 1 + 4 + 3 + 1 + 4 + 5 + 7 + 4 + 6 + 0 + 1 + 7).

It is not an unprimeable number, because it can be changed into a prime (17143145746019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168070056283 + ... + 168070056384.

It is an arithmetic number, because the mean of its divisors is an integer number (3025261014012).

Almost surely, 217143145746017 is an apocalyptic number.

17143145746017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

17143145746017 is a deficient number, since it is larger than the sum of its proper divisors (7058942366079).

17143145746017 is a wasteful number, since it uses less digits than its factorization.

17143145746017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336140112687.

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 17143145746017 in words is "seventeen trillion, one hundred forty-three billion, one hundred forty-five million, seven hundred forty-six thousand, seventeen".

Divisors: 1 3 17 51 336140112667 1008420338001 5714381915339 17143145746017