Search a number
-
+
3144341040101 = 173729153171473
BaseRepresentation
bin101101110000011001010…
…101001010101111100101
3102010121002112101211201022
4231300121111022233211
5403004102301240401
610404253524540525
7443112462566012
oct55603125125745
912117075354638
103144341040101
1110025645a9568
12429489551745
1319a682880481
14ac288c92709
1556bd160471b
hex2dc1954abe5

3144341040101 has 16 divisors (see below), whose sum is σ = 3419420649264. Its totient is φ = 2879281004544.

The previous prime is 3144341040097. The next prime is 3144341040187. The reversal of 3144341040101 is 1010401434413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77131731076 + 3067209309025 = 277726^2 + 1751345^2 .

It is a cyclic number.

It is not a de Polignac number, because 3144341040101 - 22 = 3144341040097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144341043101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18251501 + ... + 18422973.

It is an arithmetic number, because the mean of its divisors is an integer number (213713790579).

Almost surely, 23144341040101 is an apocalyptic number.

It is an amenable number.

3144341040101 is a deficient number, since it is larger than the sum of its proper divisors (275079609163).

3144341040101 is a wasteful number, since it uses less digits than its factorization.

3144341040101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200680.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 3144341040101 its reverse (1010401434413), we get a palindrome (4154742474514).

The spelling of 3144341040101 in words is "three trillion, one hundred forty-four billion, three hundred forty-one million, forty thousand, one hundred one".

Divisors: 1 17 37 629 29153 171473 495601 1078661 2915041 6344501 18337237 107856517 4998952369 84982190273 184961237653 3144341040101