Search a number
-
+
17431600141 = 19248286981
BaseRepresentation
bin10000001111000000…
…010001110000001101
31122222211122001000001
4100033000101300031
5241144442201031
612001415404301
71154654104444
oct201700216015
948884561001
1017431600141
11743575820a
123465983691
13184a54a0c7
14bb514bd5b
156c052d861
hex40f011c0d

17431600141 has 6 divisors (see below), whose sum is σ = 18397340142. Its totient is φ = 16514147160.

The previous prime is 17431600129. The next prime is 17431600159. The reversal of 17431600141 is 14100613471.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14944084516 + 2487515625 = 122246^2 + 49875^2 .

It is not a de Polignac number, because 17431600141 - 27 = 17431600013 is a prime.

It is a super-3 number, since 3×174316001413 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17431603141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24143130 + ... + 24143851.

It is an arithmetic number, because the mean of its divisors is an integer number (3066223357).

Almost surely, 217431600141 is an apocalyptic number.

It is an amenable number.

17431600141 is a deficient number, since it is larger than the sum of its proper divisors (965740001).

17431600141 is an equidigital number, since it uses as much as digits as its factorization.

17431600141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48287019 (or 48287000 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 17431600141 in words is "seventeen billion, four hundred thirty-one million, six hundred thousand, one hundred forty-one".

Divisors: 1 19 361 48286981 917452639 17431600141