Search a number
-
+
130444242444031 = 1634146831929839
BaseRepresentation
bin11101101010001101101010…
…101110111101111011111111
3122002212100101112112200101211
4131222031222232331323333
5114044144302031202111
61141233131355145251
736322166634161665
oct3552155256757377
9562770345480354
10130444242444031
113862210220465a
1212768b74a45227
1357a2abab92899
14242d76c152c35
15101324a13e521
hex76a36abbdeff

130444242444031 has 8 divisors (see below), whose sum is σ = 131244898371840. Its totient is φ = 129643591205592.

The previous prime is 130444242444029. The next prime is 130444242444059.

130444242444031 is nontrivially palindromic in base 10.

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 130444242444031 - 21 = 130444242444029 is a prime.

It is a super-2 number, since 2×1304442424440312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130444242444631) 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, 66628410 + ... + 68558248.

It is an arithmetic number, because the mean of its divisors is an integer number (16405612296480).

Almost surely, 2130444242444031 is an apocalyptic number.

130444242444031 is a deficient number, since it is larger than the sum of its proper divisors (800655927809).

130444242444031 is a wasteful number, since it uses less digits than its factorization.

130444242444031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344685.

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 130444242444031 in words is "one hundred thirty trillion, four hundred forty-four billion, two hundred forty-two million, four hundred forty-four thousand, thirty-one".

Divisors: 1 163 414683 1929839 67593329 314563757 800271426037 130444242444031