Search a number
-
+
319046001617 = 7149305892619
BaseRepresentation
bin1001010010010001001…
…11111010001111010001
31010111111212100011020102
410221020213322033101
520211401234022432
6402322343022145
732023154161010
oct4511047721721
91114455304212
10319046001617
11113341172202
12519bba3a955
1324116984855
1411628852a77
1584747d3962
hex4a489fa3d1

319046001617 has 8 divisors (see below), whose sum is σ = 367071144000. Its totient is φ = 271632644784.

The previous prime is 319046001551. The next prime is 319046001619. The reversal of 319046001617 is 716100640913.

It is a happy number.

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 319046001617 - 220 = 319044953041 is a prime.

It is a super-2 number, since 2×3190460016172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (319046001619) 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 7 ways as a sum of consecutive naturals, for example, 152945267 + ... + 152947352.

It is an arithmetic number, because the mean of its divisors is an integer number (45883893000).

Almost surely, 2319046001617 is an apocalyptic number.

It is an amenable number.

319046001617 is a deficient number, since it is larger than the sum of its proper divisors (48025142383).

319046001617 is a wasteful number, since it uses less digits than its factorization.

319046001617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305892775.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 319046001617 in words is "three hundred nineteen billion, forty-six million, one thousand, six hundred seventeen".

Divisors: 1 7 149 1043 305892619 2141248333 45578000231 319046001617